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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.2774634329054866,3.9749235497973712E-2,-2.237714197407513,0.99923743166101242,19.888202417600958,null,10.191256880358308,0.1778709874787783,-10.01338589287953,0.98476715707639662,1.0154684717236377,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC99","v":5.3169228735757628},5.3039710033600551,5.4826844151988441,5.0053030529561466,null,null,null,null,null,null,null,null,null,null,0.9763657839288582,1.7040797633374113E-2,-0.95932498629548413,-1.6742597309841997E-2,{"$f":"ABS(AV99)*'Simple AR Calculator'!$C$8","v":4.0182233543620791},5.313982821121888,21.352769876510859,45,null,null,null,null,8.399645249743644,0.14660146560752799,-8.2530437841361159,-0.14354519608327515,0.9763657839288582,8.6029696943534795,74.011087561964402,1.4500337891931041,5.7927238057106027,33.55564908924633,0,null,null,12.690206194107928,0.22148588084416199,-12.468720313263766,0.97641402326562576]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.237714197407513,3.905548046338346E-2,-2.1986587169441294,0.99926381478795889,19.874178399577414,null,10.01338589287953,0.17476655310350001,-9.8386193397760291,0.98529294754812302,1.0149265784236812,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC100","v":5.3197617044260213},5.3077136982001631,5.479758642481027,5.0026320294195461,null,null,null,null,null,null,null,null,null,null,0.95932498629548413,1.6743379607505677E-2,-0.94258160668797841,-1.6450410457684386E-2,{"$f":"ABS(AV100)*'Simple AR Calculator'!$C$8","v":3.9480985098442525},5.3169228735757628,20.991735274121289,null,null,null,null,null,8.2530437841361159,0.14404278734442738,-8.1090009967916892,-0.14105675997449227,0.95932498629548413,8.6029696943534777,74.011087561964374,1.4356770190030734,5.7485379196687187,33.045688213869163,0,null,null,12.468720313263766,0.21762022297675152,-12.251100090287014,0.97722703242932518]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.1986587169441294,3.83738337383491E-2,-2.1602848832057804,0.999289285226998,19.8606301283946,null,9.8386193397760291,0.1717163013294824,-9.6669030384465469,0.98580063267879781,1.0144038934958046,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC101","v":5.3225027815064889},5.3113344465892656,5.4769365789823308,5.0000556850641233,null,null,null,null,null,null,null,null,null,null,0.94258160668797841,1.6451152505443427E-2,-0.92613045418253503,-1.6163321859740048E-2,{"$f":"ABS(AV101)*'Simple AR Calculator'!$C$8","v":3.8791972463376116},5.3197617044260213,20.6364049549817,null,null,null,null,null,8.1090009967916892,0.14152876644151713,-7.9674722303501717,-0.13861088686333686,0.94258160668797841,8.6029696943534795,74.011087561964402,1.4213202488130428,5.7052596018128838,32.549987124078108,0,null,null,12.251100090287014,0.21382203356688298,-12.037278056720131,0.9780121212040378]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.1602848832057804,3.770408399300202E-2,-2.1225807992127783,0.99931387454395326,19.847541770978051,null,9.6669030384465469,0.16871928649193624,-9.4981837519546097,0.98629083296966413,1.0138997206220182,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC102","v":5.3251494550073382},5.3148369782578193,5.4742144651652636,4.99757058769808,null,null,null,null,null,null,null,null,null,null,0.92613045418253503,1.6164025728475726E-2,-0.90996642845405928,-1.5881242605090225E-2,{"$f":"ABS(AV102)*'Simple AR Calculator'!$C$8","v":3.811498225221654},5.3225027815064889,20.2867099054493,null,null,null,null,null,7.9674722303501717,0.13905862348082657,-7.8284136068693453,-0.1362068784706815,0.92613045418253503,8.6029696943534777,74.011087561964374,1.4069634786230121,5.6628848946014543,32.068265329505323,0,null,null,12.037278056720131,0.21009013506783103,-11.8271879216523,0.97877024134968171]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.1225807992127783,3.7046023585875644E-2,-2.0855347756269027,0.99933761321342696,19.834898001118361,null,9.4981837519546097,0.16577457943103632,-9.3324091725235743,0.98676414785718525,1.0134133897867663,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC103","v":5.3277049613864662},5.3182249248754969,5.4715886835035841,4.9951734347758423,null,null,null,null,null,null,null,null,null,null,0.90996642845405928,1.5881910259136749E-2,-0.89408451819492252,-1.5604085330982257E-2,{"$f":"ABS(AV103)*'Simple AR Calculator'!$C$8","v":3.7449804794357417},5.3251494550073382,19.942580759080361,null,null,null,null,null,7.8284136068693453,0.13663159264779506,-7.6917820142215501,-0.13384404641872058,0.90996642845405928,8.6029696943534795,74.011087561964402,1.3926067084329814,5.6214102369779617,31.600253052400625,0,null,null,11.8271879216523,0.20642337048493778,-11.620764551167362,0.97950231266553045]
[null,null,"ITF=((Leverage*86)-194)+(StrikeWt-10)*(44+((Leverage-5)*8))",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.0855347756269027,3.639944849953064E-2,-2.049135327127372,0.99936053065648911,19.822683984550707,null,9.3324091725235743,0.1628812672038559,-9.1695279053197183,0.98722115641441566,1.0129442562110369,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC104","v":5.3301724271563158},5.3215018215557626,5.4690557527273755,4.9928610481442242,null,null,null,null,null,null,null,null,null,null,0.89408451819492252,1.5604718633608546E-2,-0.87847979956131395,-1.5331764195995337E-2,{"$f":"ABS(AV104)*'Simple AR Calculator'!$C$8","v":3.6796234070388811},5.3277049613864662,19.60394788171482,50,null,null,null,null,7.6917820142215501,0.13424692149384734,-7.5575350927277025,-0.13152171217509936,0.89408451819492252,8.6029696943534795,74.011087561964402,1.3782499382429507,5.5808324751513121,31.145691115703521,0,null,null,11.620764551167362,0.20282060301691152,-11.41794394815045,0.98020922403031685]
[null,null,"Example:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.049135327127372,3.5764158277303719E-2,-2.0133711688500684,0.99938265527706727,19.81088536438806,null,9.1695279053197183,0.16003845280132795,-9.0094894525183911,0.98766241802996568,1.012491699334519,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC105","v":5.3325548725497169},5.3246711084166236,5.4666123223275473,4.9906303690254266,null,null,null,null,null,null,null,null,null,null,0.87847979956131395,1.5332364914604766E-2,-0.86314743464670918,-1.5064194853665022E-2,{"$f":"ABS(AV105)*'Simple AR Calculator'!$C$8","v":3.6154067648796051},5.3301724271563158,19.27074145111569,null,null,null,null,null,7.5575350927277025,0.13190387070311338,-7.425631222024589,-0.12923920699205779,0.87847979956131395,8.6029696943534795,74.011087561964402,1.36389316805292,5.5411488742309363,30.704330846390771,0,null,null,11.41794394815045,0.19928071570338607,-11.218663232447064,0.98089183441078998]
[null,null,"    Leverage 5.4",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.0133711688500684,3.5139955961160388E-2,-1.9782312128889079,0.99940401449708138,19.799488246906865,null,9.0094894525183911,0.15724525487014726,-8.8522441976482433,0.98808847306520953,1.0120551218433296,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC106","v":5.334855215068262},5.327736132189691,5.4642551673063702,4.9884784532246407,null,null,null,null,null,null,null,null,null,null,0.86314743464670918,1.5064764664727654E-2,-0.84808266998198156,-1.4801294426558994E-2,{"$f":"ABS(AV106)*'Simple AR Calculator'!$C$8","v":3.5523106623741585},5.3325548725497169,18.942891531453633,null,null,null,null,null,7.425631222024589,0.12960171386321914,-7.2960295081613697,-0.12699587184097869,0.86314743464670918,8.6029696943534795,74.011087561964402,1.3495363978628894,5.5023571307774546,30.275933994617503,0,null,null,11.218663232447064,0.1958026110786312,-11.022860621368432,0.9815509738395185]
[null,null,"    StrikeWt = 9.5 g",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.9782312128889079,3.452664803063233E-2,-1.9437045648582756,0.99942463479036758,19.78847918767967,null,8.8522441976482433,0.15450080743952552,-8.6977433902087178,0.98849984349037179,1.0116339487409745,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC107","v":5.337076272916649},5.3307001478712328,5.4619811831614324,4.9864024665507634,null,null,null,null,null,null,null,null,null,null,0.84808266998198156,1.4801834920290058E-2,-0.83328083506169148,-1.4542981480796663E-2,{"$f":"ABS(AV107)*'Simple AR Calculator'!$C$8","v":3.4903155553911991},5.334855215068262,18.620328142912616,null,null,null,null,null,7.2960295081613697,0.12733973724007838,-7.1686897709212918,-0.12479105734270703,0.84808266998198156,8.6029696943534777,74.011087561964374,1.3351796276728587,5.4644553863347429,29.860272669242786,0,null,null,11.022860621368432,0.19238521083130716,-10.830475410537124,0.98218744436272565]
[null,null,"    Result in ITF calculator: 247",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.9437045648582756,3.3924044342820578E-2,-1.909780520515455,0.99944454171543085,19.777845178055003,null,8.6977433902087178,0.15180425965271604,-8.5459391305560022,0.98889703350011415,1.0112276264603484,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC108","v":5.3392207683263297},5.333566320407642,5.4597873810911866,4.9843996804393935,null,null,null,null,null,null,null,null,null,null,0.83328083506169148,1.4543494165594324E-2,-0.81873734089609718,-1.4289176001005297E-2,{"$f":"ABS(AV108)*'Simple AR Calculator'!$C$8","v":3.4294022402412714},5.337076272916649,18.302981326678893,null,null,null,null,null,7.1686897709212918,0.12511723955661461,-7.0435725313646769,-0.12262412369398645,0.83328083506169148,8.6029696943534795,74.011087561964402,1.320822857482828,5.427442242015025,29.457129290409082,0,null,null,10.830475410537124,0.18902745547015737,-10.641447955066967,0.98280202095893221]
[null,null,"    Calculation:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.909780520515455,3.3331958073445807E-2,-1.8764485624420091,0.99946375994706915,19.76757363197585,null,8.5459391305560022,0.14915477550322379,-8.3967843550527785,0.98928053010922967,1.0108356220147048,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC109","v":5.34129133077177},5.3363377264105338,5.4576708834108887,4.9824674677679139,null,null,null,null,null,null,null,null,null,null,0.81873734089609718,1.4289662307660116E-2,-0.80444767858843702,-1.4039799365705491E-2,{"$f":"ABS(AV109)*'Simple AR Calculator'!$C$8","v":3.3695518477693178},5.3392207683263297,17.9907812055623,55,null,null,null,null,7.0435725313646769,0.12293353177534518,-6.9206389995893316,-0.1204944405903396,0.81873734089609718,8.6029696943534777,74.011087561964374,1.3064660872927973,5.3913167742149843,29.066296559931864,0,null,null,10.641447955066967,0.18572830399553616,-10.455719651071432,0.98339545242917425]
[null,null,"    ((5.4*86)-194)+(9.5-10)*(44+((Leverage-5)*8))",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.8764485624420091,3.2750205658927466E-2,-1.8436983567830816,0.99948231330690573,19.757652373136999,null,8.3967843550527785,0.14655153357561954,-8.2502328214771588,0.98965080372903702,1.0104574221856506,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC110","v":5.3432905000824933},5.3390173558946135,5.4556289191684479,4.9806032988530688,null,null,null,null,null,null,null,null,null,null,0.80444767858843702,1.4040260651393317E-2,-0.79040741793704372,-1.3794774323118871E-2,{"$f":"ABS(AV110)*'Simple AR Calculator'!$C$8","v":3.310745837548529},5.34129133077177,17.68365804048668,null,null,null,null,null,6.9206389995893316,0.12078793688476033,-6.7998510627045716,-0.11840138714569978,0.80444767858843702,8.6029696943534795,74.011087561964402,1.2921093171027667,5.356078551547899,28.687577450351441,0,null,null,10.455719651071432,0.18248673357666914,-10.273232917494763,0.98396846225955359]
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[null,null,"    270.4 + -0.5*(44+3.2)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.8115197500436078,3.161698410316565E-2,-1.7799027659404421,0.99951751660765242,19.738813985976599,null,8.1062390946862806,0.14148056215615998,-7.9647585325301202,0.99035348395652056,1.0097404777180579,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC112","v":5.3470843883610266},5.3441128229311792,5.4517580158676671,4.9770694379481109,null,null,null,null,null,null,null,null,null,null,0.77661220606185544,1.3554440006956043E-2,-0.76305776605489939,-1.3317476715223065E-2,{"$f":"ABS(AV112)*'Simple AR Calculator'!$C$8","v":3.1961944116535355},5.3452207294540619,17.084364624535706,null,null,null,null,null,6.6811712730151411,0.11660843660377519,-6.5645628364113655,-0.11432273227858107,0.77661220606185544,8.6029696943534777,74.011087561964374,1.2633957767227053,5.2882646880032658,27.965743410382277,0,null,null,10.093931178260217,0.17617233353035144,-9.9177588447298657,0.98505598935804317]
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[85544,"activation code"]
["2019-03-27T09:29:44",{"$f":"DATEVALUE(MONTH(A71) & \"/\" & DAY(A71) & \"/\" & YEAR(A71))","v":43551}]

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[null,null,null,null,{"$f":"E22/2","v":4.1222432013816555},null,{"$f":"IF(E22<E27,((E28 * N27)+0.4),E27/2)","v":3.75},null,null,null,null,null,null,{"$f":"G27*N26","v":6.2900366013071913}]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Thus Shk_ang = (AR * K_ang * Ki / So)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"(AA22*U22*(O11/O16))","v":18.666952330873983}]
[null,null,{"$f":"'[5]Simple AR Calculator'!C6:D6","v":"SSA ca 1916"}]
[null,null,"Sa = arc length = profile rise (which is primarily vertical)",null,null,null,null,null," ",null,null,null,null,"Equations",null,null,"DIP","involute","∆ knuck","key rads","∆key ang","cap rise","whip ang","whip rise","∆shk ang","∆hamRise","∆AR"," ","Saham","key ang","shk ang","shk ang","AR"]
[null,null,"Sa = radius θ = rθ",null,null,null,null,null,null,null,null,null,null,"Sa = radiusθ",null,null,1.5,{"$f":"[5]Generic!AJ54","v":19.912307751739878},{"$f":"L11","v":19.912307751739878},{"$f":"Q7/$O$11","v":6.1224489795918364E-3},{"$f":"DEGREES(T7)","v":0.35079048681478969},{"$f":"T7*$O$10","v":0.79000946329983301},{"$f":"(V7*360)/(6.28*$O$13)","v":0.67865460928096522},{"$f":"(W7/360) * (6.28 * $O$12)","v":1.1157664964090106},{"$f":"(X7*360) / (6.28 * R7)","v":3.2121408293939977},{"$f":"(Y7/360) * (6.28 * $O$16)","v":7.7084962379108628},{"$f":"Z7/Q7","v":5.1389974919405752},{"$f":"'[5]Simple AR Calculator'!C35","v":5.1389974919405752},null,null,null,null,null,1,{"$f":"AH7*R7","v":19.912307751739878}]
[null,null,"Linear speed = rω",null,null,null,null,null,null,null,null,null,null,"angle = (n ͦ / 360) * ( 2πr)",null,null,{"$f":"Q7+$Q$27","v":1.9231309683534121},{"$f":"[5]Generic!AJ55","v":19.580012142931665},{"$f":"S7 - (S7* $L$16%)","v":19.780873178958757},7.8495141565445396E-3,0.44974403239819433,1.0128611094427782,0.87009446394933943,1.4305100684635697,4.1881364162508872,10.050690652507345,5.2262122642186783,null,null,null,null,null,null,2,39.160024285863329]
[null,null,"Key Sa = ",{"$f":"L9*O10","v":4.3556358015869554},"mm",null,null,null,"key ang.",{"$f":"DEGREES(L9)","v":1.9340472161492626},"degs",{"$f":"(Q23 ) /O11","v":3.3755491810835078E-2},null,"DATA",null,null,2.3462619367068243,{"$f":"[5]Generic!AJ56","v":19.296898757161461},19.650306162421618,9.576579333497242E-3,0.54869757798159879,1.2357127555857235,1.0615343186177137,1.7452536405181289,5.1845837144656155,12.44196508832148,5.3028883491946441,null,null,null,null,null,null,3,57.890696271484387]
[null,null,"Whip Sa =",{"$f":"(J10/360) * ((6.28 *O12))","v":6.1485450179778516},"mm",null,"diff",null,"whip ang ",{"$f":"(D9*360)/(2*PI()*O13)","v":3.7397954054470617},"degs",{"$f":"RADIANS(J10)","v":6.5271743176007507E-2},null,"Ko =",{"$f":"'[5]Simple AR Calculator'!D7","v":129.0348790056394},null,2.7693929050602364,{"$f":"[5]Generic!AJ57","v":19.056211506322494},19.520600975675976,1.1303644510449944E-2,0.64765112356500343,1.4585644017286685,1.252974173286088,2.059997212572688,6.1968777029219977,14.871268414710185,5.3698658603253424,null,null,null,null,null,null,4,76.224846025289978]
[null,null,"Shk Sa =",{"$f":"(J11/360)*(2*PI()* O16)","v":42.478454311226876},"mm",{"$f":"'[5]Simple AR Calculator'!E44","v":42.5},{"$f":"D11-F11","v":-2.1545688773123572E-2},null,"shk ang",{"$f":"(D10*360) / (2*PI()*S7)","v":17.691855914869439},"degs Re",{"$f":"'[5]Simple AR Calculator'!E77","v":19.912307751739878},null,"Ki =",{"$f":"'[5]Simple AR Calculator'!D8","v":245},null,3.1925238734136485,{"$f":"[5]Generic!AJ58","v":18.851985592457677},19.391751930067763,1.3030709687402647E-2,0.74660466914840795,1.6814160478716136,1.4444140279544619,2.3747407846272468,7.2210768816725377,17.329141819270532,5.4280382876952826,null,null,null,null,null,null,5,94.259927962288387]
[null,null,"Shk Sa =",{"$f":"(J12/360)*(2*PI()*O16)","v":47.24502072808437},"mm",{"$f":"'[5]Simple AR Calculator'!A15","v":46.966228054480034},{"$f":"D12-F12","v":0.27879267360433602},null,"shk ang",{"$f":"(D10*360)/(2*PI()*O15)","v":19.677083664397284},"degs Re",{"$f":"'[5]Simple AR Calculator'!F16","v":17.903348163006878},null,"Wo =",{"$f":"'[5]Simple AR Calculator'!D9","v":94.246964305730003},null,3.6156548417670606,{"$f":"[5]Generic!AJ59","v":18.678990007534459},19.263753374491841,1.4757774864355349E-2,0.84555821473181247,1.9042676940145589,1.6358538826228364,2.6894843566818061,8.2538864479693874,19.807678433675331,5.4783100988685147,null,null,null,null,null,null,6,112.07394004520675]
[null,null,null,null,null,null,null,null,"shk ang",{"$f":"DEGREES(F11/O16)","v":17.700829481058264},null,null,null,"Wi = ",{"$f":"'[5]Simple AR Calculator'!D10","v":66.730802482811484},null,4.0387858101204728,{"$f":"[5]Generic!AJ60","v":18.532664885167176},19.136599695144152,1.6484840041308051E-2,0.944511760315217,2.1271193401575039,1.8272937372912104,3.0042279287363649,9.2926132696871022,22.300415278883552,5.5215642342316622,null,null,null,null,null,null,7,129.72865419617023]
[null,null,"Angular Velocity ω",null,null,null,"Identity",null," ",null,null,null,null,"Si = ",{"$f":"'[5]Simple AR Calculator'!K13","v":19.912307751739878},null,4.4619167784738849,{"$f":"[5]Generic!AJ61","v":18.409056724913174},19.010285315275507,1.8211905218260754E-2,1.0434653058986216,2.3499709863004492,2.018733591959585,3.3189715007909246,10.335103836510694,24.802184360388392,5.5586389419104121,null,null,null,null,null,null,8,147.2724537993054]
[null,null,"Interpret",null,null,null,"e.g. 21.4 / 19.2 = 0.2279 / 0.2045",null,null,{"$f":"L11/L12","v":1.112211390318826},"same as",{"$f":"G30/H30","v":1.112211390318826},null,"Si = ",{"$f":"'[5]Simple AR Calculator'!F16","v":17.903348163006878},null,4.885047746827297,{"$f":"[5]Generic!AJ62","v":18.304753999541646},18.884804694947,1.9938970395213456E-2,1.1424188514820262,2.572822632443394,2.2101734466279588,3.6337150728454826,11.379674260524528,27.308944683615781,5.5903127459403406,null,null,null,null,null,null,9,164.74278599587481]
[null,null,"ω of gear pairs A ",null,{"$f":"G28","v":94.246964305730003},{"$f":"G30","v":0.21127797482310265},"e.g. 21.4 / 19.2 = 11.4%",null,null,{"$f":"(J15-1)*100","v":11.221139031882599},"%",{"$f":"J16/17","v":0.66006700187544698},null,"So =",{"$f":"'[5]Simple AR Calculator'!D11","v":137.56816492197603},{"$f":"'[5]Simple AR Calculator'!C11","v":130},5.3081787151807092,{"$f":"[5]Generic!AJ63","v":18.216825072971464},18.760152330787029,2.1666035572166158E-2,1.2413723970654307,2.7956742785863393,2.401613301296333,3.9484586449000423,12.425039060141854,29.817611349583498,5.6172960537875181,null,null,null,null,null,null,10,182.16825072971463]
[null,null,null,"B",{"$f":"G29","v":19.912307751739878},null,"0.2279 / 0.2045 = 11.4%",null,null,{"$f":"(L15-1)*100","v":11.221139031882599},"%",null,null,"at =",{"$f":"'[5]Simple AR Calculator'!C22","v":1.25},null,5.7313096835341213,{"$f":"[5]Generic!AJ64","v":18.142759787721715},18.636322755749937,2.3393100749118861E-2,1.3403259426488352,3.0185259247292846,2.5930531559647072,4.2632022169546016,13.470243286716379,32.325892672329317,5.6402278811072843,null,null,null,null,null,null,11,199.57035766493885]
[null,null,"is faster than   A",null,{"$f":"H28","v":94.246964305730003},{"$f":"H30","v":0.18996206715931746},"Hammer rise",null,null,null,null,null,null,"LO = ",{"$f":"'[5]Simple AR Calculator'!C16","v":2},null,6.1544406518875334,{"$f":"[5]Generic!AJ65","v":18.080415577832397},18.513310538876226,2.5120165926071567E-2,1.4392794882322399,3.2413775708722303,2.7844930106330823,4.5779457890091617,14.514600743162379,34.832141915942636,5.6596763030381663,null,null,null,null,null,null,12,216.96498693398877]
[null,null,null,"B",{"$f":"H29","v":17.903348163006878},null,"44.67 mm / 40 mm = 11.7%",null,null,{"$f":"((D12/D11) -1) *100","v":11.221139031882599},"%",null,null,"dip =",{"$f":"[5]Compare!H9","v":9.5200954936545923},{"$f":"O19-O17","v":8.2700954936545923},6.5775716202409455,{"$f":"[5]Generic!AJ66","v":18.027968550694052},18.391110285054374,2.6847231103024269E-2,1.5382330338156445,3.4642292170151752,2.9759328653014561,4.8926893610637201,15.557639661043082,37.335226930429656,5.6761414524988503,null,null,null,null,null,null,13,234.36359115902266]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.0007025885943577,{"$f":"[5]Generic!AJ67","v":17.98386966387308},18.26971663478421,2.8574296279976971E-2,1.637186579399049,3.6870808631581204,3.1673727199698303,5.2074329331182785,16.599056224345993,39.834418618059701,5.690060120959644,null,null,null,null,null,null,14,251.77417529422311]
[null,null,"But with either ω, the hammer must rise the same final distance of  =",null,null,null,null,null,{"$f":"D11","v":42.478454311226876},"mm",null,null,null,null,null,null,7.4238335569477698,{"$f":"[5]Generic!AJ68","v":17.946805893735092},18.14912426394185,3.0301361456929674E-2,1.7361401249824535,3.9099325093010657,3.3588125746382049,5.5221765051728386,17.63867569003288,42.329297630452864,5.7018112415569977,null,null,null,null,null,null,15,269.20208840602641]
[null,null,"So, as A driver slows down from ",null,null,{"$f":"G30","v":0.21127797482310265},"to ",{"$f":"H30","v":0.18996206715931746},"B  follower speeds up from ",null,{"$f":"G31","v":4.73310102880943},"to ",{"$f":"H31","v":5.264208875771601},null,null,null,7.8469645253011819,{"$f":"[5]Generic!AJ69","v":17.915666138343134},18.029327883546198,3.2028426633882376E-2,1.835093670565858,4.1327841554440106,3.5502524293065787,5.836920077227397,18.67642048012247,44.819677795953389,5.711721730286925,null,null,null,null,null,null,16,286.65065821349015]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.2700954936545941,{"$f":"[5]Generic!AJ70","v":17.88951150272727},17.91032223952698,3.3755491810835078E-2,1.9340472161492626,4.3556358015869554,3.7416922839749525,6.1516636492819554,19.71228443420895,47.305544330818087,5.720072321669595,{"$f":"'[5]Simple AR Calculator'!C37","v":5.7156515453561862},null,null,null,null,null,17,304.12169554636358]
[null,null,"The size of the gears and the sequence in which they engage define the ratio of the angular velocity ωA of the input gear to the angular velocity ωB of the output gear, "]
[null,null,"known as the speed ratio, or gear ratio, of the gear train. Let R be the speed ratio, then",null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"'[5]Simple AR Calculator'!D37","v":7.4357227103058987},null,1,null,{"$f":"L11","v":19.912307751739878}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"'[5]Simple AR Calculator'!D35","v":8.2700954936545923},null,1.5,null,{"$f":"  L11 - (S7* $L$16%)","v":19.780873178958757}]
[null,null,null,null,null,"f/d","speed ratio R = ang. Velocity",null,null,null,null,null,"radius proportions = ang. Velocity",null,null,null,{"$f":"(Q26-1.5) / 16","v":0.42313096835341202},null,2,null,{"$f":"  U26 - (S8* $L$16%)","v":19.650306162421618}]
[null,null,"of input","Wa = drive",{"$f":"O11","v":245},"driver A =",{"$f":"'[5]Simple AR Calculator'!D9","v":94.246964305730003},{"$f":"G28","v":94.246964305730003},{"$f":"O10","v":129.0348790056394},null,null,"output","rB = radius",{"$f":"G29","v":19.912307751739878},{"$f":"H29","v":17.903348163006878},null,null,null,2.5,null,19.520600975675976]
[null,null,"to output","Wb = follow",{"$f":"'[5]Simple AR Calculator'!C7","v":123},"follow B =",{"$f":"'[5]Simple AR Calculator'!K13","v":19.912307751739878},{"$f":"O15","v":17.903348163006878},{"$f":"O13","v":66.730802482811484},null,null,"input","rA = radius",{"$f":"G28","v":94.246964305730003},{"$f":"N29","v":94.246964305730003},null,null,null,3,null,19.391751930067763]
[null,null,null,"R = wA / wB",{"$f":"E28/E29","v":1.9918699186991871},null,{"$f":"  G29/G28","v":0.21127797482310265},{"$f":"H29/H28","v":0.18996206715931746},{"$f":"  I29/I28","v":0.51715321467380193},{"$f":"G30*I30","v":0.10926308386953812},null,"O:I","R = rB / rA",{"$f":"N28/N29","v":0.21127797482310265},{"$f":"O28/O29","v":0.18996206715931746},null,null,null,3.5,null,19.263753374491841,null,null,null,null,null,null,null,null,null,null,null,2141]
[null,null,null,null,null,null,{"$f":"1/G30","v":4.73310102880943},{"$f":"1/H30","v":5.264208875771601},null,null,null,null,null,null,null,null,null,null,4,null,19.136599695144152,null,null,null,null,null,null,null,null,null,null,null,2127]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.5,null,19.010285315275507,null,null,null,null,null,null,null,null,null,null,null,2114]
[null,null,"The speed ratio (aka gear ratio R) of two gears rolling without slipping on their pitch circles is given by,",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,null,18.884804694947,null,null,null,null,null,null,null,null,null,null,null,2102]
[null,null,null,null,null,null,null," ","rB out   /","rA in",null,null,null,null,null,null,null,null,5.5,null,18.760152330787029,null,null,null,null,null,null,null,null,null,null,null,2089]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,null,18.636322755749937,null,null,null,null,null,null,null,null,null,null,null,2078]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.5,null,18.513310538876226,null,null,null,null,null,null,null,null,null,null,null,2066]
[null,null,"therefore",null,null,null,null,null,{"$f":"O13","v":66.730802482811484},{"$f":"O10","v":129.0348790056394},66.7,129,null,null,null,null,null,null,7,null,18.391110285054374,null,null,null,null,null,null,null,null,null,null,null,2056]
[null,null,null,null,null,null,null,null,{"$f":"O14","v":19.912307751739878},{"$f":"O12","v":94.246964305730003},{"$f":"O15","v":17.903348163006878},94.2,null,null,null,null,null,null,7.5,null,18.26971663478421,null,null,null,null,null,null,null,null,null,null,null,2045]
[null,null,null,null,null,null,null," ",{"$f":"O15","v":17.903348163006878},null,null,null,null,null,null,null,null,null,8,null,18.14912426394185,null,null,null,null,null,null,null,null,null,null,null,2036]
[null,null,null,null,null,"GR = VR = rB / rA = out / in",null,null,{"$f":"I38/J38","v":0.21127797482310265},"is VR of IN as a function of OUT, or A as a function of B",null,null,null,null,null,null,null,null,8.5,null,18.029327883546198,null,null,null,null,null,null,null,null,null,null,null,2026]
[null,null,null,null,null,null,null,null,null,"meaning that the input V is mult. X",null,null,{"$f":"I40","v":0.21127797482310265},"of the the output veloctiy of ",null,null,1,null,8.75,null,{"$f":"L12","v":17.903348163006878},null,null,null,null,null,null,null,null,null,null,null,2017]
[null,null,"Wa = rB / Ra",null,{"$f":"I38/J38","v":0.21127797482310265},"Wa = (Wb * rB) / rA",null,null,{"$f":"(I40*I38) / J38","v":4.4638382645351589E-2},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2009]
[null,null,"Wb = rA/Rb",null,{"$f":"J38/I38","v":4.73310102880943},"Wb = (Wa * rA) / rB",null,null,{"$f":"(I42 * J38) / I38","v":0.21127797482310262},{"$f":"1/I43","v":4.7331010288094308},"Linear speed = rω =",null,{"$f":"I38*E42","v":4.2070320558419692},4.2243478697051398,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2001]
[null,null,null,null,null,"Wa / Wb proof =",null,null,{"$f":"I42/I43","v":0.21127797482310265},null,null,null,{"$f":"I38*I40","v":4.2070320558419692},4.2243478697051398,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1994]
[null,null,null,null,null,"Wb / Wa proof = ",null,null,{"$f":"I43/I42","v":4.73310102880943},null,null,null,{"$f":"J38*I42","v":4.2070320558419692},4.2243478697051398,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1987]
[null,null,null,{"$f":"(G30-H30) / 16","v":1.3322442289865743E-3},{"$f":"G30","v":0.21127797482310265},{"$f":"(I38-I39) / 16","v":0.12555997429581245},{"$f":"I38","v":19.912307751739878},{"$f":"(O12*H30) / G30","v":84.73835560946128},{"$f":"DEGREES(I40)","v":12.105336261435047},"degs shank proportion of rotation",null,null,4.8,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1981]
[null,null,null,null,{"$f":"E46-$D$46","v":0.20994573059411609},null,{"$f":"G46-$F$46","v":19.786747777444067},{"$f":"H48-$I$51","v":85.332643652978035},{"$f":"DEGREES(I42)","v":2.557590929868665},"degs whip proportion of rotation",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1975]
[null,null,null,null,0.20861348636512952,null,19.661187803148255,85.926931696494833,{"$f":"I46/I47","v":4.7331010288094308},"ratio shank/whip",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1970]
[null,null,null,null,0.20728124213614296,null,19.535627828852444,86.521219740011631,{"$f":"(J10*I46) / I47","v":17.700829481058271},"cf to shank angle above",null,{"$f":"J11","v":17.691855914869439},{"$f":"J12","v":19.677083664397284},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1965]
[null,null,null,null,0.2059489979071564,null,19.410067854556633,87.115507783528429,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1961]
[null,null,null,null,0.20461675367816984,null,19.284507880260822,87.709795827045227,{"$f":"(H62-H46) / 16","v":0.59428804351679521},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1958]
[null,null,null,null,0.20328450944918328,null,19.158947905965011,88.304083870562025,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1955]
[null,null,null,null,0.20195226522019671,null,19.0333879316692,88.898371914078822,null,null,null,null,null,null,null,null,null,null,{"$f":"S7","v":19.912307751739878}]
[null,null,null,null,0.20062002099121015,null,18.907827957373389,89.49265995759562,null,null,null,null,null,null,null,null,null,null,{"$f":"S7","v":19.912307751739878}]
[null,null,null,null,0.19928777676222359,null,18.782267983077578,90.086948001112418,null,null,null,null,null,null,null,null,null,null,{"$f":"-(7.7289492*10^(-4))*P55^3+0.0311787*P55^2-0.4643636*P55+$S$54","v":19.912307751739878}]
[null,null,null,null,0.19795553253323703,null,18.656708008781766,90.681236044629216,null,null,null,null,null,null,null,null,null,null,19.912307751739878]
[null,null,null,null,0.19662328830425047,null,18.531148034485955,91.275524088146014,null,null,null,null,null,null,null,null,null,null,19.912307751739878]
[null,null,null,null,0.1952910440752639,null,18.405588060190144,91.869812131662812,null,null,null,null,null,null,null,null,null,null,19.912307751739878]
[null,null,null,null,0.19395879984627734,null,18.280028085894333,92.46410017517961,null,null,null,null,null,null,null,null,null,null,19.912307751739878]
[null,null,null,null,0.19262655561729078,null,18.154468111598522,93.058388218696408,null,null,null,null,null,null,null,null,null,null,19.912307751739878]
[null,null,null,null,0.19129431138830422,null,18.028908137302711,93.652676262213205,null,null,null,null,null,null,null,null,null,null,19.912307751739878]
[null,null,null,null,0.18996206715931765,null,17.9033481630069,{"$f":"O12","v":94.246964305730003},null,null,null,null,null,null,null,null,null,null,19.912307751739878]
[null,null,null,null,"VR recession",null,"Shk I recession",null,null,null,null,null,null,null,null,null,null,null,19.912307751739878]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19.912307751739878]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19.912307751739878]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19.912307751739878]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19.912307751739878]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19.912307751739878]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19.912307751739878]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19.912307751739878]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"c","b"]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x","f(x) = cx^b",{"$f":"LINEST(S75:S91,R75:R91^1,2,3)","v":-0.11489921358869194}]
[null,null,null,null,null,null,null,"avg",null,null,null,null,null,null,null,null,null,1,21.407010533934894,{"$f":"S75+$U$74","v":21.292111320346201}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,21.287198358987744,21.172299145399052]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3,21.168056756759885,21.053157543171192]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,21.049581974145486,20.934682760556793]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,20.931770279044354,20.816871065455661]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,20.814617960244359,20.699718746655666]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,20.698121327304531,20.583222113715838]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,20.582276710438801,20.467377496850109]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,20.467080460400407,20.352181246811714]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,20.352528948366928,20.237629734778235]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,20.238618565825981,20.123719352237288]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12,20.125345724461539,20.010446510872846]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13,20.012706856040904,19.897807642452211]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14,19.900698412302297,19.785799198713605]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,19.789316864843091,19.674417651254398]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,19.678558705008648,19.563659491419955]
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[null,null,null,null,null,null,null,null,null,null,{"$f":"O27","v":44.185533502827205},{"$f":"B28","v":43},null,null,null,null,null,null,null,null,null,"Si =",{"$f":"'Simple AR Calculator'!K13","v":21.400934559032695},{"$f":"'Simple AR Calculator'!F16","v":19.537539455580013}]
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["ARCS & Standard",null,null,null,null,null,null,null,360,null,null,null,1.25,"AT ","mm",{"$f":"M5*'Simple AR Calculator'!H8","v":6.1613225722067906},null,null,null,null,null,"Wi =",{"$f":"'Simple AR Calculator'!D10","v":66.258961658027815}]
["Key ro",{"$f":"B17","v":0.54290832539139666},"arc L =",{"$f":"(D13/360) * (6.28 *E10)","v":6.6859484823666815},"Jack Top",null,{"$f":"V27*D10*E35","v":42.872352844278552},null,{"$f":"B37+I7","v":56.140269367147404},{"$f":"I5-I6","v":303.85973063285257},null,null,null,null,"mm",{"$f":"P4+P5","v":9.5501969771964976},null,null,null,null,null,"Sθ =",{"$f":"(W4 * ((W3 * W1) / W5)) / W2","v":17.901193297460956}]
["Whip ro",{"$f":"D10","v":1.4120714467713882},"arc L =",{"$f":"(E13/360) * (6.28 *E10)","v":40.94588650877408},"Ro",null,{"$f":"E36*G8","v":43.331788985007435},"per 19.3",{"$f":"Generic!H52","v":37.405356631408551},{"$f":"I5-I7","v":322.59464336859145},"Knuckle",null,{"$f":"'Simple AR Calculator'!D12","v":21.400934559032695},{"$f":"P7/Compare!H9","v":5.1614309168273556},"mm",{"$f":"K3+P6","v":51.47895749301518},null,null,"Key Back","arc L =  θ / 360 * (2πr) ",null,{"$f":"(T13/360)*((PI()*2*U10))","v":4.7372529965146297},null,null,null,null,"Hammer",null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AE9","v":137.56816492197603}]
["Sk ro",{"$f":"E35","v":6.4281381984747306},"arc L =",{"$f":"(E16/360) * (6.28 *E10)","v":34.259938026407404},{"$f":"G15/G18","v":1.1836196885503647},null,{"$f":"G15-G18","v":6.1540149020350086},"net vert",null,null,"Rest",null,"Ro","AR",null,{"$f":"((P7/L2) - 1) * 100","v":19.718505797709728},"%",null,null,null,null,null,null,null,"mm",null,null,null,{"$f":"'Simple AR Calculator'!C11","v":130}]
["AR prod",{"$f":"B6*B7*B8","v":4.9279736608971207},"diff",{"$f":"D7-D8","v":6.6859484823666762},{"$f":"'Simple AR Calculator'!C9","v":92},null,{"$f":"(V11*'Simple AR Calculator'!D25)","v":6.680513032955548},"per ratio",null,"arc",{"$f":"(J16/360) * (6.28 * M15)","v":120.43342397073749},null,{"$f":"N15/N13","v":1.3670325700895694},null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C7","v":122},null,{"$f":"U9/1000","v":0.122},null,null,null,null,null,{"$f":"AE9","v":137.56816492197603},null,{"$f":"'Simple AR Calculator'!D11","v":137.56816492197603},"arc L =  θ / 360 * (2πr) ",null,{"$f":"(AA20/360) * (6.28 * AE9)","v":44.960047523282832},"mm"]
["AR arc",{"$f":"AH9/AE30","v":5.1571404251135098},"WipRo =",{"$f":"D6/S10","v":1.4120714467713882},{"$f":"'Simple AR Calculator'!D9","v":93.521213902840955},null,{"$f":"G9*E35","v":42.943261012549833},"per 21.4",null,"arc",{"$f":"(J13/360) * (6.28 * M13)","v":113.4391674480711},null,"lift Ro",null,null,null,null,"arc L =",{"$f":"(T13/360) * (6.28 * U10)","v":4.7348514111333948},null,{"$f":"'Simple AR Calculator'!D7","v":130.38404810405297},null,{"$f":"U10/1000","v":0.13038404810405296},null,null,null,null,null,null,null,{"$f":"(AC17*360) /( 6.28*AC9)","v":18.734912735738853},"is Sk ang.  ",null,null,null,null,null,null,null,null,null,null,null,{"$f":"H33","v":21.400934559032695}]
["AR vert",{"$f":"AE14/AE30","v":5.0682998258539014},"VertRo =",{"$f":"G8/V27","v":1.3029360536111136},null,null,{"$f":"(G8*B28) / G9","v":39.611125595010293},"proportion",null,"diff =",{"$f":"K9-K10","v":6.9942565226663902},null,{"$f":"-(O19/O20) * -1","v":6.4281381984747306},null,null,null,null,null,null,null,null,{"$f":"W15","v":4.7330850235372139},null,null,null,null,null,null,null,null,{"$f":"(D6*360) / (6.28 * W2)","v":17.909074533776597},"is Sk ang.  ",null,null,null,null,null,null,null,null,null,null,null,{"$f":"AN7/AR10","v":6.4281381984747306},"sk ro"]
["Arc Tvl",{"$f":"AE30 * B6*B7*B8","v":42.962167349271667},null,null,null,null,null,null,null,null,{"$f":"K9/K10","v":1.061656451470945},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"(AC29 * AC26 / AC9) * B10","v":18.729535446770385},"is (θKey*Ki/So) * DAR"]
["Arc tvl2",{"$f":"AH9","v":44.960047523282832},"wip ang>",{"$f":"T29","v":4.098224521640315},{"$f":"E16+T29","v":25.098224521640315},"degrees",null,null,null,{"$f":"J6","v":303.85973063285257},"degrees",null,{"$f":"H33","v":21.400934559032695},{"$f":"O17","v":-12.999999999999993},{"$f":"M15*K14","v":11.923779180323585},"mm initial",null,null,null,{"$f":"'Simple AR Calculator'!F72","v":2.0817316775544539},"degrees",null,null,null,null,null,null,"degrees =",{"$f":"AE10","v":18.734912735738853},null,{"$f":"AE9*AC14","v":130.27907978286666},"mm shortening"]
["Sk angle",{"$f":"AE10","v":18.734912735738853},null,null,"cos = ",{"$f":"COS(RADIANS(E13))","v":0.90558194364395672},{"$f":"F14*E10","v":84.691122658076935},"mm shortening",null,"cos =",{"$f":"COS(RADIANS(J13))","v":0.5571616112106148},null,null,null,{"$f":"K15*M15","v":-17.771423411164392},"mm vertical",null,null,null,"cos =",{"$f":"COS(RADIANS(T13))","v":0.99934002654949716},null,{"$f":"U10*U14","v":130.29799809393521},"mm shortening",null,null,null,"cos =",{"$f":"COS(RADIANS(AC13))","v":0.94701473888785603},null,{"$f":"AC15*AE9","v":44.185533502827205},"mm vertical rise"]
["Sk ang2",{"$f":"'Simple AR Calculator'!J145","v":17.909074533776597},null,null,"sine = ",{"$f":"SIN(RADIANS(E13))","v":0.42417136082724111},{"$f":"F15*E10","v":39.669020567383548},"mm vertical",null,"sine =",{"$f":"SIN(RADIANS(J13))","v":-0.83040408175369163},null,{"$f":"H33","v":21.400934559032695},{"$f":"O14","v":-17.771423411164392},{"$f":"O14*M11","v":-114.23716567057393},"ham rise",null,null,null,"sine =",{"$f":"SIN(RADIANS(T13))","v":3.6325078610379036E-2},null,{"$f":"U15*W14","v":4.7330850235372139},"mm vertical rise",null,null,null,"sine =",{"$f":"SIN(RADIANS(AC13))","v":0.32119010621307431},null,{"$f":"AC14*AE9","v":130.27907978286666},"mm horizontal",null,null,null,null,null,null,null,null,null,null,{"$f":"AN37","v":17.741404052677893},"mm"]
["Verticals",null,null,null,21,"degrees",null,null,null,{"$f":"J7","v":322.59464336859145},"degrees",null,null,null,{"$f":"M13*K17","v":17.000000000000004},"mm lengthening",null,null,null,"degrees =",{"$f":"(S10*360) / (6.28 * U10)","v":2.0817316775544539},null,{"$f":"U10-W14","v":8.6050010117759257E-2},"run scrub",null,null,"mm vertical rise =",null,{"$f":"AC15*AE9","v":44.185533502827205},null,{"$f":"AE9-AE13","v":7.2890851391093747},"run",null,null,null,null,null,null,null,{"$f":"AE9","v":137.56816492197603}]
["Key ro",{"$f":"AB24","v":0.54290832539139666},null,null,"cos = ",{"$f":"COS(RADIANS(E16))","v":0.93358042649720174},{"$f":"F17*E10","v":87.309574761950287},"mm shortening",null,"cos =",{"$f":"COS(RADIANS(J16))","v":0.79435783297719642},null,null,null,{"$f":"K18*M13","v":-12.999999999999993},"mm vertical",null,null,null,null,null,null,{"$f":"W15/W16","v":55.003886891587776},"slope",null,null,"arc distance =",null,{"$f":"AH9","v":44.960047523282832},null,{"$f":"AE14/AE16","v":6.0618764439656507},"slope"]
["Whip ro",{"$f":"G8/V27","v":1.3029360536111136},null,null,"sine = ",{"$f":"SIN(RADIANS(E16))","v":0.35836794954530027},{"$f":"F18*E10","v":33.515005665348539},"mm vertical",null,"sine =",{"$f":"SIN(RADIANS(J16))","v":-0.60745010757079676},null,null,null,{"$f":"O17*M11","v":-83.565796580171451},{"$f":"ABS(O15-O18)","v":30.671369090402479},null,null,null,null,null,null,{"$f":"S10-W16","v":4.6488014010156355},null,null,null,null,null,null,null,"for every 6.07 mm or ham rise",null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"H34","v":19.537539455580013}]
["Sk ro",{"$f":"E35","v":6.4281381984747306},{"$f":"AC15*M13","v":6.8737684440747637},null,null,null,null,null,null,"arc L =  θ / 360 * (2πr) ",null,null,null,null,{"$f":"O20*E35","v":30.671369090402472},"net ham rise",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"there is 1 mm of run",null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AN16/AR18","v":7.0412226286092494},"sk ro"]
["Sk ro",{"$f":"E36","v":7.0412226286092494},{"$f":"AE14/G8","v":7.1799523085678487},{"$f":"AC16 / C19","v":6.4281381984747306},null,"Si =",{"$f":"G8/ SIN(RADIANS(B14))","v":19.160038814995431},{"$f":"G20* AC15","v":6.1540149020350094},null,{"$f":"AE10 / 360 *(6.28 * M13)","v":6.994256522666384},null,null,null,null,{"$f":"ABS(O14-O17)","v":4.7714234111643989},"NET RISE",null,{"$f":"AE14/O20","v":9.2604511683955426},null,null,null,null,null,null,null,null,{"$f":"AE10","v":18.734912735738853}]
["AR =",{"$f":"B17*B18*B20","v":4.9807836666507086},{"$f":"B17*B18*C20","v":5.0789175505602921},{"$f":"B17*B18*C20","v":5.0789175505602921}," ","Sro =",{"$f":"AC9 / G20","v":7.1799523085678487},null,null,null,null,null,null,null,{"$f":"O14/O17","v":1.3670325700895694},"verticals ro",null,null,null,null,null,"arc L =  θ / 360 * (2πr) ",null,{"$f":"(T29/360) * (6.28 * U26)","v":4.736935991880082},"mm"]
[{"$f":"AE30 * B17 * B18* B20","v":43.422565975770944},{"$f":"B21*AE30","v":43.422565975770944},{"$f":"C21*AE30","v":44.278099027136726},{"$f":"B13-C22","v":0.68194849614610575},null,"Ham rise>",{"$f":"G21*G8","v":44.185533502827205},{"$f":"AE14","v":44.185533502827205},null,null,null,null,null,null,{"$f":"K11/O20","v":1.4658637307896221},"knk_arc/net rise",null,null,null,null,null,null,null,null,null,null,null,null,null,"arc L =  θ / 360 * (2πr) ",null,{"$f":"(AC29/360) * (6.28 * AC26)","v":8.7155166233613137},"mm",null,null,null,null,null,null,null,null,null,{"$f":"AP37","v":13.448754682045756},"mm"]
[null,null,null,null,null,null,null,null,null,null,"Knuckle",null,null,null,{"$f":"O21*P18","v":41.928760515818681},"verts ro*net vert ham_rise",null,null,null," ro",null,null,null,null,null,null,null,"key ro"]
[null,null,null,"SHANK RATIO IDENTITIES",null,null,null,null,null,null,"Deployed",null,null,null,{"$f":"(D6*E27) / H33","v":42.978200832535421},"jack_arc*sk ro",null,null,"Wippen",{"$f":"G8/V27","v":1.3029360536111136},null,null,null,null,null,null,null,{"$f":"V11/AE30","v":0.54290832539139666}]
[null,null,null,"arc L =  θ / 360 * (2πr) ",null,{"$f":"(B37/360) * (6.28 * E27)","v":44.960047523282832},"mm arc",null,null,null,null,null," ",null,{"$f":"(K11*E27) / H33","v":44.96004752328286},"knk_arc*sk ro",null,"arc L =",{"$f":"(T29/360) * (6.28 * U26)","v":4.736935991880082},null,{"$f":"'Simple AR Calculator'!C10","v":62.5}]
[null,null,null,null,null,{"$f":"AE14","v":44.185533502827205},"mm vert",null,null,null,null,null,null,null,{"$f":"P18/O20","v":6.4281381984747314},"aka skro / 21.4",null,null,null,null,{"$f":"'Simple AR Calculator'!D10","v":66.258961658027815},null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C8","v":240}]
[null,null,null,null,{"$f":"'Simple AR Calculator'!D11","v":137.56816492197603},null,null,null,null,null,null,null,null,null,{"$f":"G8*C20","v":44.185533502827205},"sk ro * jack_vert",null,null,null,null,null,{"$f":"W30","v":4.7231902785858386}]
[null,{"$f":"C28-2","v":43},{"$f":"'Simple AR Calculator'!C15","v":45}]
[null,null,{"$f":"DEGREES(ATAN(C30))","v":17.357799361388246},"degrees",null,null,null,null,null,360,"degrees",null,null,{"$f":"ABS(O33)","v":6.328549338395959},{"$f":"M30*K30","v":19.537539455580013},"mm shortening",null,null,null,{"$f":"'Simple AR Calculator'!C149","v":4.098224521640315},"degrees",null,{"$f":"U26*U30","v":66.08953736126513},"mm shortening",null,null,null,null,{"$f":"'Simple AR Calculator'!F72","v":2.0817316775544539},"degs",{"$f":"AC26*AC30","v":239.84160637187932},"mm shortening"]
[null,null,{"$f":"B28/E27","v":0.31257231659947005},null,{"$f":"B28/E27","v":0.31257231659947005},null,{"$f":"B28/D33","v":0.33076923076923076},{"$f":"DEGREES(ATAN(G30))","v":18.302626241748182},"degrees","cos =",{"$f":"COS(RADIANS(J29))","v":1},null,{"$f":"H34","v":19.537539455580013},null,{"$f":"K31*M30","v":-4.7872772553440109E-15},"mm vertical",null,null,null,"cos =",{"$f":"COS(RADIANS(T29))","v":0.99744299801078817},null,{"$f":"U31*W29","v":4.7231902785858386},"mm vertical rise",null,null,null,"cos =",{"$f":"COS(RADIANS(AC29))","v":0.99934002654949716},null,{"$f":"AC31*AC26","v":8.7180188664909686},"mm vertical rise",null,null,null,null,null,null,null,null,null,21.4]
[null,null,null,"degrees",{"$f":"DEGREES(ASIN(E30))","v":18.214318808027489},null,null,null,null,"sine =",{"$f":"SIN(RADIANS(J29))","v":-2.45029690981724E-16},null,null,null,{"$f":"O30*E36","v":-3.3708284939754631E-14},"ham rise",null,null,null,"sine =",{"$f":"SIN(RADIANS(T29))","v":7.1466535660061767E-2},null,{"$f":"U26-W29","v":0.16942429676268489},"run scrub",null,null,null,"sine =",{"$f":"SIN(RADIANS(AC29))","v":3.6325078610379036E-2},null,{"$f":"AC26-AE29","v":0.15839362812067748},"capstan scrub run"]
[null,null,null,null,null,null,null,null,null,341.1,"degrees",null,null,null,{"$f":"M30*K33","v":18.484180026439741},"mm lengthening",null,null,null,"Degrees =",{"$f":"(S25*360) / (6.28 * U26)","v":4.098224521640315},null,{"$f":"W30/W31","v":27.877880379823448},"slope",null,null,null,"Degrees =",{"$f":"(AE30*360) / (6.28 * AC26)","v":2.0823293470917918},null,{"$f":"AE30/AE31","v":55.040211970199046},"slope",null,null,null,null,null,null,null,null,null,{"$f":"AR18","v":19.537539455580013}]
[null,null,null,130,null,null,null,{"$f":"'Simple AR Calculator'!D12","v":21.400934559032695},"mm","cos =",{"$f":"COS(RADIANS(J32))","v":0.9460853588275453},null,null,null,{"$f":"K34*M30","v":-6.328549338395959},"mm vertical",null,null,null,null,null,null,null,null,null,null,null,"radians =",{"$f":"RADIANS(AC29)","v":3.633307191639016E-2}]
[null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!F16","v":19.537539455580013},"mm","sine =",{"$f":"SIN(RADIANS(J32))","v":-0.32391741819814956},null,null,null,{"$f":"(O33*E36) * -1","v":44.560724807783721},"ham rise",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"degrees =",56,null,43.5]
[null,null,"SkRo @ 21.4",null,{"$f":"E27/H33","v":6.4281381984747306},"Ro",null,21.4,"?",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"sine",{"$f":"SIN(RADIANS(AN34))","v":0.82903757255504174},null,{"$f":"SIN(RADIANS(AP34))","v":0.68835457569375391}]
[null,null,"SkRo @ 19.3",null,{"$f":"E27/H34","v":7.0412226286092494},"Ro",null,null,null,null,null,null,null,null,{"$f":"O33*-1","v":6.328549338395959},"NET RISE",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"cos",{"$f":"COS(RADIANS(AN34))","v":0.55919290347074679},null,{"$f":"COS(RADIANS(AP34))","v":0.72537437101228763}]
[null,{"$f":"AE10","v":18.734912735738853},"degrees at AE 10",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"y =",{"$f":"AN35*AP30","v":17.741404052677893},null,{"$f":"AP35*AP32","v":13.448754682045756}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x =",{"$f":"AN36*AP30","v":11.96672813427398},null,{"$f":"AP36*AP32","v":14.172030393719105}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,94,null,null,null,null,"sine","cos","Sine Up","Cos over",null,null,null,null,"slope =",{"$f":"AN35/AN36","v":1.4825609685127403},null,{"$f":"AP35/AP36","v":0.94896456671487972}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21,0.35837000000000002,0.93357999999999997,33.700000000000003,87.8,null,null,null,null,"diff y - x =",{"$f":"AN37-AP37","v":4.2926493706321374}]
[null,null,null,null,94,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21.5,0.36649999999999999,0.93042000000000002,34.5,87.5,null,null,null,null,"ham rise =",{"$f":"AN40*AR11","v":27.593743392018954},null,{"$f":"AN40*AR19","v":30.225499885180259}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,22,0.37461,0.92718,35.200000000000003,87.2]
[null,null,null,null,null,{"$f":"D60-D57","v":6.1987759061111447},"mm net rise",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,22.5,0.38268000000000002,0.92388000000000003,36,86.8]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23,0.39073000000000002,0.92049999999999998,36.700000000000003,86.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23.5,0.39874999999999999,0.91705999999999999,37.5,86.2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,24,0.40673999999999999,0.91354999999999997,38.200000000000003,85.9]
[null,null,null,null,null,null,null,null,null,null,null,null,19.100000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,24.5,0.41469,0.90995999999999999,39,85.5]
[null,null,null,null,null,null,null,null,null,null,null,21.4,null,null,null,null,null,null,null,null,null,null,null,null,null,"sine",{"$f":"SIN(RADIANS(AD52))","v":0.70710678118654746},null,{"$f":"AA48*Z39","v":66.468037431535464},25,0.42262,0.90630999999999995,39.700000000000003,85.2]
[null,null,null,null,null,null,null,null,{"$f":"E10","v":93.521213902840955},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"cos",{"$f":"COS(RADIANS(AD52))","v":0.70710678118654757},null,{"$f":"AA49*Z39","v":66.468037431535478},30,0.55000000000000004,0.86602999999999997,{"$f":"AG48-AG40","v":6},{"$f":"AH48-AH40","v":-2.5999999999999943}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,35,0.57357999999999998,0.81915000000000004]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,40,0.64278999999999997,0.76604000000000005]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,45,0.70711000000000002,0.70711000000000002]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"arc L =",{"$f":"(D13/360) * (6.28 *E41)","v":6.7201774989297522}]
[null,20,"degrees jack top at rest",null,null,null,null,null,"INERTIA Torque Rads",null,null,null,null,null,"INERTIA Torque "]
[null,"cos = ",{"$f":"COS(RADIANS(B55))","v":0.93969262078590843},{"$f":"C56*I49","v":87.881194591440149},"mm horizontal",null,null,"Rθ = So ang. / Ki ang. ",null,null,{"$f":"B14/AC29","v":8.9996770178123899},{"$f":"K56^2","v":80.994186424940509},null,"Rθ = So ang. / Ki ang. ",null,null,{"$f":"B14/AC29","v":8.9996770178123899},{"$f":"Q56^2","v":80.994186424940509}]
[null,"sine = ",{"$f":"SIN(RADIANS(B55))","v":0.34202014332566871},{"$f":"C57*I49","v":31.986138983040185},"mm vertical",null,null,"Rθ = ratio of dip / Ki to x / So ",null,null,null,null,null,"Rθ = ratio of dip / Ki to x / So "]
[null,{"$f":"B55+T29","v":24.098224521640315},"degrees jack top deployed",null,null,null,null,"where x = (dip * So) / Ki ",null,null,{"$f":"(AE30 * AC9) / AC26","v":4.9971744050763673},null,null,"where x = (dip * So) / Ki ",null,null,{"$f":"(AE30 * AC8) / AC26","v":4.7222602193492751}]
[null,"cos = ",{"$f":"COS(RADIANS(B58))","v":0.91284683011586776},{"$f":"C59*I49","v":85.370543659796382},"mm horizontal",null,null,"Then: Rθ =  (AR * dip) / x ",null,null,{"$f":"(B9 * AE30) / K58","v":8.5972919627597264},{"$f":"K59^2","v":73.913429092932986},null,"Then: Rθ =  (AR * dip) / x ",null,null,{"$f":" (A4 * AE30) / Q58","v":10.563764705882351},{"$f":"Q59^2","v":111.59312476124563}]
[null,"sine = ",{"$f":"SIN(RADIANS(B58))","v":0.40830217333172747},{"$f":"C60*I49","v":38.184914889151329},"mm vertical",null,null,"SW_A61 = ",null,null,{"$f":"C4","v":8.7381435385711921},{"$f":"1/K59","v":0.11631569619033857},null,"SW_A61 = ",null,null,{"$f":"C4","v":8.7381435385711921},{"$f":"1/Q59","v":9.4663221667854611E-2}]
[null,null,null,null,null,null,null,"I_SW =",null,null,{"$f":"K60*(AC9/1000)^2","v":0.16536936646745981},null,null,"I_SW =",null,null,{"$f":"Q60*(AC9/1000)^2","v":0.16536936646745981}]
[null,null,null,null,null,null,null,"SW_E44 = ",null,null,{"$f":"'Key Leads'!H189","v":10.111488431383298},null,8.74,"SW_E44 = ",null,null,{"$f":"'Key Leads'!H189","v":10.111488431383298}]
[null,null,null,null,null,null,null,"I_SW =",null,null,{"$f":"K62*(AC9/1000)^2","v":0.19135991856392892},null,{"$f":"M62*(AC9/1000)^2","v":0.16540450000000001},"I_SW =",null,null,{"$f":"K62*(AC9/1000)^2","v":0.19135991856392892}]
[null,null,null,null,null,null,null,"I_sys =",null,null,{"$f":"(K61*L59) * 10","v":122.23016942535841},{"$f":"('Key Leads'!F60/1000*'Key Leads'!D67^2) * 10000","v":2.8899999999999997},{"$f":"(M63*L59) * 10","v":122.25613782402036},"I_sys =",null,null,{"$f":"(Q63*R59) * 10","v":213.54451266606327},{"$f":"('Key Leads'!F60 / 1000*'Key Leads'!D67^2) * 10000","v":2.8899999999999997}]
[null,null,null,null,null,null,null,"Plus I_ki (motor)",null,null,{"$f":"(AC26/10)^2 * A3","v":28.8},null,null,"Plus I_ki (motor)",null,null,{"$f":"(AC26/10)^2 * A3","v":28.8}]
[null,null,null,null,null,null,null,"Total I felt at key",null,null,{"$f":"K64+K65","v":151.03016942535842},null,null,"Total I felt at key",null,null,{"$f":"Q64+Q65","v":242.34451266606328}]
[null,null,null,null,null,null,null,"Force_capstan =",null,null,{"$f":"((K60/1000 * 'Simple AR Calculator'!C26* 'Simple AR Calculator'!C25)  ) + 'Key Leads'!F60 / 1000","v":0.11536065573770489},null,null,"Force_capstan =",null,null,{"$f":"((K60/1000 * 'Simple AR Calculator'!C26* 'Simple AR Calculator'!C25)  ) + 'Key Leads'!F60 / 1000","v":0.11536065573770489}]
[null,null,null,null,null,null,null,"I_capstan =",null,null,{"$f":" (K67 * W10 ^2)","v":1.961131147540983E-3},{"$f":"K66+L64","v":153.92016942535841},null,"I_capstan =",null,null,{"$f":" (Q67 * W9 ^2)","v":1.7170279999999996E-3},{"$f":"Q66+R64","v":245.23451266606327}]
[null,null,null,null,null,null,null,"Torq_o =",{"$f":"(K64/10000) * K59","v":0.10508484532073935},{"$f":"K60/50","v":0.17476287077142383},"Inertia =",{"$f":"I69/K59","v":1.2223016942535841E-2},null,"Torq_o =",{"$f":"(Q64/10000) * Q59","v":0.22558339860366058},{"$f":"Q60/50","v":0.17476287077142383},"Inertia =",{"$f":"O69/Q59","v":2.1354451266606327E-2}]
[null,null,null,null,null,null,null,null,{"$f":"B4","v":0.17476287077142386},null,null,null,null,null,{"$f":"B4","v":0.17476287077142386}]
[null,{"$f":"G3","v":"Standard Action"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"torque = (moment of inertia)(angular acceleration)"]
[null,"Kodar =","WH * (v * Ss) / (s*rs + v * Ss) ",null,null,{"$f":"(C79*(C80*E85)/(E84 * C82 + C80 * E85))","v":129.67382389912541},"is Kodar",null,"H",null,"KoDar",{"$f":"'Simple AR Calculator'!D7","v":130.38404810405297},"per sarc"]
[null,"WH  = ","line from balance hole to wippen center, aka the magic line",null,null,null,null,null,null,"ra = Widar",null,{"$f":"F72","v":129.67382389912541},"per here",null,null,null,null,null,"τ = Iα"]
[null,"v = ","kidar (e.g. 240 mm)",null,null,null,null,null,null,null,null,{"$f":"L72-L73","v":0.710224204927556},"mm"]
[null,"Ss = ","(profile rise * Wodar) / Widar",null,null,{"$f":"(C81 * C82) /  U26","v":6.6859484823666815},null,null,null,null,"P",null,null,null,null,null,null,null,"τ = torque, around a defined axis (N∙m)"]
[null,"s = ","full dip, inc AT"]
[null,"rs = ","Wodar",null,null,null,null,null,null,null,{"$f":"C90","v":46},null,null,null,null,null,null,null,"I = moment of inertia (kg∙m2)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"v"]
[null,"WH = ",{"$f":"((C83 * C86) / C87) + C83","v":195.59645481449809},null,206.5,"enter actual when available",null,null,null,null,{"$f":"C86","v":122},null,null,null,null,null,"A",null,"α = angular acceleration (radians/s2)"]
[null,"v = ",{"$f":"'Simple AR Calculator'!D8","v":240},null,null,null,null,null,"C",null,{"$f":"C88","v":184.5},null,"W","underside of key",null,{"$f":"C80","v":240}]
[null,"pro_rise =",{"$f":"S25","v":4.736935991880082},{"$f":"C81/2","v":2.368467995940041}]
[null,"Wod =",{"$f":"'Simple AR Calculator'!E9","v":93.521213902840955}]
[null,"Wid =",{"$f":"'Simple AR Calculator'!D10","v":66.258961658027815},null,null,null,null,null,null,{"$f":"C79-F72","v":65.922630915372679},"is Wid here",null,{"$f":"L73/J83","v":1.9670608120236053},"Ro key out to whip in"]
[null,"s = targ ",{"$f":"AF22","v":8.7155166233613137},{"$f":"Compare!H9","v":9.9737763272550826},{"$f":"C84/2","v":4.3577583116806569},null,null,null,null,{"$f":"C83-J83","v":0.33633074265513585},"diff"]
[null,"Ss =",{"$f":"G9","v":6.680513032955548},{"$f":"H9","v":"per ratio"},{"$f":"C85/2","v":3.340256516477774}]
[null,"Kom =",{"$f":"'Simple AR Calculator'!C7","v":122},null,null,null,null,null,null," S S = o/h"]
[null,"Wim = ",{"$f":"'Simple AR Calculator'!C10","v":62.5},null,null,null,null,null,null,"sine =",{"$f":"C90/F72","v":0.35473620362875913},"per here",null,"tan =",{"$f":"SQRT(L73^2 - K79^2)","v":43.946565333611552},"is new cap"]
[null,"CW = ",{"$f":"C86+C87","v":184.5},null,null,null,null,null,null,"Ang W =",{"$f":"DEGREES(ASIN(K87))","v":20.777277780860231},"degrees per here"]
[null,"heel  ht. =",{"$f":"Archives!D18","v":22},null,null,"heel + cap",{"$f":"C89+C90","v":68}]
[null,"Cap ht",{"$f":"Archives!D17","v":46},null,null,null,null,null,null,"sine =",{"$f":"C90/L72","v":0.35280389486979041},"per sarc"]
[null,"Cos HCW",{"$f":"C88/C79","v":0.94326863017521523},null,null,null,null,null,null,"Ang W",{"$f":"DEGREES(ASIN(K90))","v":20.658910063307491},"degrees per sarc"]
[null,"ang. HWC ",{"$f":"DEGREES(ACOS(C91))","v":19.392068510781648},"degrees",{"$f":"C92+C93","v":90}]
[null,"ang. CHW ",{"$f":"90 - C92","v":70.607931489218345},"degrees",null,"new cap",{"$f":"O87","v":43.946565333611552},null,null,null,{"$f":"SQRT(L73^2 - K77^2)","v":121.24067223758448}]
[null,null,null,null,null,"new heel",{"$f":"G89-G93","v":24.053434666388448},null,null,null,{"$f":"K79-K93","v":0.75932776241552347}]
[null,"Pfieffer","jack top rise",null,null,null,{"$f":"G93+G94","v":68}]
[null,"Ss = (dip * kod * wod) / (ki * wid)"]
[null,"Ss = ",{"$f":"(C84 * L72 * C82) / (C80 * C83)","v":6.6830062007940425},"mm"]

{"sheet":"Archives","index":6,"n_rows":305,"n_cols":64,"rows_kept":305,"cut":false,"hidden":false,"merged":[[26,7,26,8],[2,12,4,14],[1,2,1,4],[2,9,2,10],[38,2,38,14],[2,6,2,7],[20,7,20,8],[21,7,21,8],[22,7,22,8],[23,7,23,8],[24,7,24,8],[25,7,25,8],[27,7,27,8],[28,7,28,8],[29,7,29,8],[30,7,30,8],[31,7,31,8],[227,63,227,64],[227,61,227,62],[227,53,227,54],[227,59,227,60],[227,55,227,56],[227,57,227,58],[3,65,3,66],[37,1,37,16],[211,2,211,6],[298,3,298,6],[216,2,216,8],[269,2,269,8],[244,2,244,8],[237,3,237,6],[238,3,238,6],[239,3,239,6],[264,3,264,6],[297,3,297,6],[296,3,296,6],[265,3,265,6],[263,3,263,6],[227,51,227,52]]}
[]
[null,null,"ENTRY AND / OR OUTGOING DATA",null,null,"   Using this page: Read >"]
["Main Page",null,"      Data Entry","            Inputs in mm",null," < Read","Archives Below",null,null,"INCOMING DATA",null,null,"Action Geometry Program ver. AGPcompex619 © June 2019 by Nick Gravagne. All rights reserved. Do not copy or distribute without express permission."]
[null,null,"Piano Name","Standard Action",null,null,null,null,null,"Standard Action",null,null,null,null,null,null,null,null,null,null,"RENNER 3 NOTE MDL CLASS",null,null,"ADJUSTABLE mdl.","Renner pts.",null,"SSO 215,109 12/2017",null,null,"ADJUSTABLE mdl.",null,null,"Steinert C revision 1",null,null,"SSA Jason 179---",null,null,"SSL 367 ca 1949",null,null,"SSL 367 ca 1949","original",null,"SSO 215,109 12/2017",null,null,"Louie B 185644",null,null,"Yamaha Model",null,null,"Louie B 185644 orig",null,null,"SSA ca 1916",null,null,"Generic Turbo",null,null,"Jamie w/ Ren Key"]
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[null,null,"Key Input Arm",240,240,null,null,null,null,240,240,null,null,null,null,null,null,null,null,null,260,260,null,236,246,null,240,240,null,260,260,null,234.79999999999998,234.79999999999998,null,236,236,null,241,241,null,241,241,null,240,240,null,260,260,null,246,246,null,260,260,null,245,245,null,266,266,null,266,266]
[null,null,"Whippen Output Arm",92,93.521213902840955,null,null,null,null,92,93.521213902840955,{"$f":"'Simple AR Calculator'!E9","v":93.521213902840955},null,null,null,null,null,null,null,null,92,93.519418108133564,null,92,92.947058183677868,null,93,94.826369345287631,null,91.5,93.094668843118399,null,94.600000000000009,94.993660548179562,null,93,93.869986479855712,null,92.8,93.671615520079769,null,93.5,94.36515010395334,null,93,94.826369345287631,null,89.5,93.012539033717601,null,92,93.189719920166382,null,90.2,93.686297917565525,null,91,94.246964305730003,null,91,93.002818790363321,null,91.8,93.645555153461501]
[null,null,"Whippen Input Arm",62.5,66.258961658027815,null,null,null,null,62.5,66.258961658027815,null,null,null,null,null,null,null,null,null,62,65.956425009243787,null,62.5,63.906181234681831,null,62.5,66.392846000152758,null,62.5,66.597672632007189,null,63.449999999999996,67.627379810251412,null,63,66.897309362933271,null,61,63.600314464631381,null,61,63.600314464631381,null,62,65.922378597863116,null,63,67.416615162732697,null,60,63.906181234681831,null,62,66.483080554378645,null,60,63.906181234681831,null,62.7,66.994402751274677,null,59.2,63.510943938820496]
[null,null,"Shank Output Arm",130,137.56816492197603,null,null,null,null,130,137.56816492197603,null,null,null,null,null,null,null,null,null,130,137.89851340750559,null,130,138.92803892663281,null,130,137.89851340750559,null,130,139.53669768200766,null,129.19999999999999,138.86486236625879,null,130,137.89851340750559,null,130,138.57849761056005,null,130,138.57849761056005,null,130,137.89851340750559,null,130,137.56816492197603,null,130,137.56816492197603,null,130,137.56816492197603,null,130,137.56816492197603,null,130,135.07405376311175,null,130,137.89851340750559]
[null,null,"Shank Input Arm",17,21.400934559032695,null,null,null,null,17,21.400934559032695,null,null,null,null,null,null,null,null,null,17,21.407010533934905,null,17,21.145463461461421,null,15.5,20.262095153265864,null,17,21.145463461461421,null,16.2,null,null,15.5,null,null,16.2,20.771133815947554,null,15.5,20.229928324143909,null,15.5,null,null,16.2,20.896889720721596,null,17,21.400934559032695,null,15.5,20.359027481684876,null,15.5,null,null,17,21.407010533934905,null,16.2,20.771133815947554]
[null,null,"Knuckle Diameter",10,null,null,null,null,null,10,null,null,null,null,null,null,null,null,null,null,10,null,null,10,"but orig key",null,10,null,null,10,null,null,10.4,null,null,10,"Oiginal data",null,10,"modified w/ 16.2 knuckle",null,10,null,null,10,null,null,10,null,null,10,null,null,10,null,null,9.5,null,null,10,null,null,10,"green wip heel 12_2018"]
[null,null,"Shank Thickness",6,null,null,null,null,null,6,null,null,null,null,null,null,null,null,null,null,6.02,null,null,5.15,null,null,6.1,null,null,5.15,null,null,6.3,null,null,5.88,null,null,6,null,null,6,null,null,6.1,null,null,6.4,null,null,6,null,null,6.4,null,null,6,null,null,6.02,null,null,6]
[null,null,"Mfg. Blow Distance",45,null,null,null,null,null,45,null,null,null,null,null,null,null,null,null,null,46,null,null,46,null,null,45,null,null,46,null,null,45,null,null,45,null,null,44.5,null,null,44.5,null,null,44.5,null,null,45,null,null,47,null,null,45,null,null,45,null,null,46,null,null,46]
[null,null,"Let-Off ",2,null,null,null,null,null,2,null,null,null,null,null,null,null,null,null,null,2,null,null,2,null,null,1.6,null,null,2,null,null,2,null,null,2,null,null,2,null,null,2,null,null,1.6,null,null,2,null,null,2,null,null,2,null,null,2,null,null,2,null,null,2]
[null,null,"Spread",113,null,null,null,null,null,113,null,null,null,null,null,null,null,null,null,null,113,null,null,112.5,null,null,111,null,null,112.5,null,null,113,null,null,111.5,null,null,112,null,null,112,null,null,113,null,null,112.5,null,null,112.5,null,null,112.5,null,null,111,null,null,112.7,null,null,112.5]
[null,null,"Key Length (optional)",515,null,null,null,null,null,515,null,null,null,null,null,null,null,null,null,null,520,null,null,492,null,null,483,null,null,492,null,null,487.4,null,null,480,null,null,515,null,null,515,null,null,483,null,null,515,null,null,492,null,null,515,null,null,500,null,null,530,null,null,532]
[null,null,"Capstan Height ",46,null,null,null,null,null,46,null,null,null,null,null,null,null,null,null,null,43.94,null,null,44,null,null,40,null,null,43,null,null,43.2,null,null,44.3,null,null,37.9,null,null,37.9,null,null,40,null,null,44,null,null,39,null,null,44,null,null,39,null,null,40.299999999999997,null,null,41.1]
[null,null,"Whipen Heel Height ",22,null,null,null,null,null,22,null,null,null,null,null,null,null,null,null,null,22.5,null,null,23,null,null,22.4,null,null,23,null,null,23.4,null,null,22.5,null,null,18,null,null,18,null,null,22.4,null,null,24,null,null,22,null,null,24,null,null,22,null,null,23.6,null,null,23]
[null,null,"Hammer Bore ",45,null,null,null,null,null,45,null,null,null,null,null,null,null,null,null,null,46,null,null,52,null,null,45,null,null,50.7,null,null,50.9,null,null,46,null,null,48,null,null,48,null,null,46,null,null,45,null,null,45,null,null,45,null,null,45,null,null,46,null,null,46]
[null,null,"Aftertouch",1.25,null,null,null,null,null,1.25,null,null,null,null,null,null,null,null,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25]
[null,null,"Key Ratio Front",1.9548872180451129,1.8631381911484066,null,null,"Key Ratio Front",null,{"$f":"1/J22","v":1.9672131147540985},{"$f":"1/K22","v":1.8407159732336893},null,null,null,null,null,null,null,null,null,1.9696969696969697,1.8688733073279993,null,2.0534223706176959,1.9530422889862937,null,2.1145374449339207,1.9943125470992795,null,1.9696969696969697,1.8728314220485072,null,null,null,null,null,null,null,2.1517857142857144,2.0382482989699144,null,2.1517857142857144,2.0382482989699144,null,null,null,null,1.9259259259259258,1.8311221377393918,null,2.1025641025641026,1.9946674471831316,null,1.9117647058823528,1.8189380501775512,null,2.0534223706176959,1.9530422889862937,null,2,1.9020681374618962,null,1.9925093632958804,1.9043060741193059]
[null,null,"Key Ratio Back",0.5115384615384615,0.53672883994912746,null,null,"Key Ratio Back",null,{"$f":"J5/K6","v":0.5083333333333333},{"$f":"K5/K6","v":0.54326686710022065},null,null,null,null,null,null,null,null,null,0.50769230769230766,0.53508175009987102,null,0.48699186991869919,0.51202168311421437,null,0.47291666666666665,0.50142591814632886,null,0.50769230769230766,0.53395088753166997,null,null,null,null,null,null,null,0.46473029045643155,0.49061736026242625,null,0.46473029045643155,0.49061736026242625,null,null,null,null,0.51923076923076927,0.54611321625686204,null,0.47560975609756095,0.50133670222181625,null,0.52307692307692311,0.54977133492940422,null,0.48699186991869919,0.51202168311421437,null,0.5,0.5257435211203273,null,0.50187969924812026,0.52512566839470654]
[null,null,"Whip ratio",1.3782542113323124,1.3392203378261931,null,null,"Whip Ratio",null,{"$f":"J7/J8","v":1.472},{"$f":"L7/K8","v":1.4114500372872971},null,null,null,null,null,null,null,null,null,1.4838709677419355,1.417897014506575,null,1.563573883161512,1.4938624140706009,null,1.488,1.4282618543731271,null,1.464,1.3978666995995985,null,null,null,null,null,null,null,1.521311475409836,1.4728168611834658,null,1.5327868852459017,1.4837214390886466,null,null,null,null,1.4206349206349207,1.3796678876446189,null,1.5333333333333334,1.4582270152858452,null,1.4548387096774194,1.4091750432794174,null,1.563573883161512,1.4938624140706009,null,1.5,1.4271033952411989,null,1.5506756756756757,1.4744790322069437]
[null,null,"Shank ratio",7.6470588235294121,6.4281381984747306,null,null,"Shank Ratio",null,7.6470588235294121,6.4281381984747306,null,null,null,null,null,null,null,null,null,7.6470588235294121,6.4417454828130047,null,7.6470588235294121,6.570110850482684,null,8.387096774193548,6.8057381215722392,null,7.6470588235294121,6.5988952162869214,null,null,null,null,null,null,null,8.0246913580246915,6.6716867186211548,null,8.387096774193548,6.8501724469863845,null,null,null,null,8.0246913580246915,6.5831885395634675,null,7.6470588235294121,6.4281381984747306,null,8.387096774193548,6.800229972035635,null,7.6470588235294121,6.570110850482684,null,7.6470588235294121,6.4281381984747306,null,8.0246913580246915,6.6389497381038769]
[null,null,"Whip Weight",17,null,null,null,"Whip Weight",null,17,null,null,null,null,null,null,null,null,null,null,17,null,null,18.7,null,null,17,null,null,17,null,null,null,null,null,null,null,null,15.6,null,null,15.6,null,null,null,null,null,17,null,null,17,null,null,17,null,null,18.7,null,null,17,null,null,17]
[null,null,"DW Target",50,null,null,null,"DW Target",null,50,null,null,null,null,null,null,null,null,null,null,50,null,null,50,null,null,50,null,null,50,null,null,null,null,null,null,null,null,50,null,null,50,null,null,null,null,null,50,null,null,50,null,null,50,null,null,50,null,null,50,null,null,50]
[]
[null,null,"MAR ",5.7220392156862747,null,null,null,"MAR",null,5.7220392156862747,null,null,null,null,null,null,null,null,null,null,5.7609108159392788,null,null,5.8228358814819199,null,null,5.9020000000000001,null,null,5.6837647058823526,null,null,null,null,null,null,null,null,5.6734529691017919,null,null,5.9744015658359872,null,null,null,null,null,5.9193121693121693,null,null,5.5767575322812055,null,null,6.976503489137591,null,null,5.8228358814819199,null,null,5.7352941176470589,null,null,6.2452372485267214]
[null,null,"DAR ",4.9290580577654328,null,null,null,"DAR",null,4.9290580577654328,null,null,null,null,null,null,null,null,null,null,4.8872931367138124,null,null,5.0254117441091362,null,null,4.8740485356886021,null,null,4.9253636864469819,null,null,null,null,null,null,null,null,4.8208909074939283,null,null,4.9865110772738372,null,null,null,null,null,4.9601354487247455,null,null,4.6993722147740717,null,null,5.5840640907830696,null,null,5.0254117441091362,null,null,4.8229701488844299,null,null,5.1404510639063696]
[null,null,"Dip ",9.9737763272550826,null,null,null,"DIP",null,9.9737763272550826,null,null,null,null,null,null,null,null,null,null,10.252938593854296,null,null,10.005501487331355,null,null,10.05171785034125,null,null,10.183350469341759,null,null,null,null,null,null,null,null,10.065797912774803,null,null,9.7729931993322801,null,null,null,null,null,9.919118100606573,null,null,10.825747130335245,null,null,9.0400252025760448,null,null,10.005501487331355,null,null,9.9583267578827428,null,null,9.8095601345075725]
[null,null,"Inertia ",153.30444089995007,null,null,null,"Inertia",null,153.20698516224513,null,null,null,null,null,null,null,null,null,null,173.53129586298769,null,null,212.00255110170633,null,null,198.00345305028131,null,null,175.05265355297925,null,null,null,null,null,null,null,null,206.10282481446544,null,null,213.39738084989784,null,null,null,null,null,173.11000555281973,null,null,200.81275194805357,null,null,165.27117243775933,null,null,212.00255110170633,null,null,199.28305487219404,null,null,240.25773125494794]
[null,null,"Capstan Change",0,null,null,null,"Capstan Change",null,0,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,null,null,null,null,null,2]
[]
[]
[]
[]
[]
[null,"To copy any data block below, left click in the blue heading box and drag down to capture the entrire grid of all cells of any color, right click, then select copy."]
[null,null,"Go to top, left grid (Entry and / or Ougoing Data). Right click in Piano Name entry cell, right click and choose paste. "]
[null,null,null,"TOP",null,null,null,null,null,null,null,null,null,null,null,"TOP",null,null,null,null,null,null,null,null,null,"TOP",null,null,null,null,null,null,null,null,null,null,"TOP",null,null,"TOP"]
[]
["Main Page",null,"Piano Name","SSBadRick modified",null,null,"Yamaha Model",null,null,"SSM 1927 mod",null,null,"SSBadRick Orig",null,null,"SSBadRick Orig","incrrease spread to 113.5",null,"Standard Action",null,null,"Louie B 185644","new parts",null,"SSM c1957",null,null,"Yamaha",null,null,"SSBadRick Orig",null,null,"Louie B 185644","new parts",null,"M&H AA mod 18905",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Bosie D. Skolnik"]
[null,null,"Key Output Arm",132.5,138.12041847605298,null,119.8,125.95733404609673,null,113,119.21828718783037,null,136,141.4814475470194,null,136,141.4814475470194,null,122,130.38404810405297,null,133,139.54949838677314,null,121.9,127.98675712744659,null,123,129.0348790056394,null,134.5,140.0401728076626,null,134,140.73023839957068,null,121.7,127.79628320103836,null,null,null,null,null,null,null,null,null,null,null,null,null,152,141.4814475470194]
[null,null,"Key Input Arm",245,245,null,246,246,null,238,238,null,245,245,null,245,245,null,240,240,null,260,260,null,240,240,null,246,246,null,245,245,null,260,260,null,232,232,null,null,null,null,null,null,null,null,null,null,null,null,null,308,245]
[null,null,"Whippen Output Arm",93.2,93.696406122791402,null,91,92.947058183677868,null,92,93.368426629940544,null,94.7,95.188583981100706,null,94.7,95.754266086083106,null,92,93.521213902840955,null,91.5,93.552904876651127,null,92,93.455015357814872,null,93,94.196937072872799,null,94.7,95.188583981100706,null,91.5,93.552904876651127,null,92.154943335453993,93.572637343303441,null,null,null,null,null,null,null,null,null,null,null,null,null,89.3,95.188583981100706]
[null,null,"Whippen Input Arm",64.5,68.148734397639402,null,58.2,62.219289613430981,null,59,62.968245965724662,null,64.5,68.148734397639402,null,65.708944481182698,69.294050140189881,null,62.5,66.258961658027815,null,65.3,69.570755350218803,null,61,64.845971347493901,null,61,64.845971347493901,null,62.5,66.258961658027815,null,63,67.067130548428864,null,63,66.730802482811484,null,null,null,null,null,null,null,null,null,null,null,null,null,62.63,68.148734397639402]
[null,null,"Shank Output Arm",130,137.56816492197603,null,130,138.92803892663281,null,130,137.56816492197603,null,130,137.56816492197603,null,130,137.56816492197603,null,130,137.56816492197603,null,131,139.17614738165446,null,130,137.56816492197603,null,130,137.56816492197603,null,130,137.56816492197603,null,130,137.2443077143821,null,127,135.76818478568535,null,null,null,null,null,null,null,null,null,null,null,null,null,130,137.56816492197603]
[null,null,"Shank Input Arm",17,21.400934559032695,null,17,21.145463461461421,null,16.2,null,null,15.5,20.229928324143909,null,15.5,20.229928324143909,null,17,21.400934559032695,null,16.2,20.783657041050308,null,16.2,null,null,17,null,null,15.5,20.229928324143909,null,16.2,20.783657041050308,null,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,17,20.229928324143909]
[null,null,"Knuck Diameter",10,null,null,10,null,null,10,null,null,10,null,null,10,null,null,10,null,null,10,null,null,9.5,null,null,10,null,null,10,null,null,10,null,null,10,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8]
[null,null,"Shank Thickness",6,null,null,5.15,null,null,6,null,null,6,null,null,6,null,null,6,null,null,6.04,null,null,6,null,null,6,null,null,6,null,null,6.04,null,null,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.8499999999999996]
[null,null,"Blow Distance",45,null,null,46,null,null,45,null,null,45,null,null,45,null,null,45,null,null,45,null,null,44.5,null,null,46,null,null,45,null,null,45,null,null,47,null,null,null,null,null,null,null,null,null,null,null,null,null,null,46]
[null,null,"Let-Off ",1.5,null,null,2,null,null,2,null,null,1.5,null,null,1.5,null,null,2,null,null,2,null,null,2,null,null,2,null,null,1.5,null,null,2,null,null,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2]
[null,null,"Spread",112.5,null,null,112.5,null,null,112,null,null,112.5,null,null,113.5,null,null,113,null,null,112.5,null,null,112,null,null,113.5,null,null,112.5,null,null,112.5,null,null,113,null,null,null,null,null,null,null,null,null,null,null,null,null,null,112.5]
[null,null,"Key Length (optional)",520,null,null,492,null,null,482,null,null,520,null,null,520,null,null,515,null,null,515,null,null,485,null,null,492,null,null,520,null,null,515,null,null,482,null,null,null,null,null,null,null,null,null,null,null,null,null,null,582.20000000000005]
[null,null,"Capstan Height ",39,null,null,38.9,null,null,38,null,null,39,null,null,39,null,null,46,null,null,42.25,null,null,39,null,null,39,null,null,39,null,null,43,null,null,39,null,null,null,null,null,null,null,null,null,null,null,null,null,null,41.75]
[null,null,"Whipen Heel Height ",22,null,null,22,null,null,22,null,null,22,null,null,22,null,null,22,null,null,24,null,null,22,null,null,22,null,null,22,null,null,23,null,null,22,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23.3]
[null,null,"Hammer Bore ",45,null,null,49,null,null,45,null,null,45,null,null,45,null,null,45,null,null,47,null,null,45,null,null,45,null,null,45,null,null,44,null,null,48,null,null,null,null,null,null,null,null,null,null,null,null,null,null,48.6]
[null,null,"Aftertouch ",1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1.25]
[null,null,"Key Ratio Front",1.8490566037735847,1.7738144924783699,null,2.0534223706176959,1.9530422889862937,null,1.8490566037735847,1.7738144924783699,null,1.8014705882352942,1.7316758080141754,null,1.8014705882352942,1.7316758080141754,null,1.9672131147540985,1.8407159732336893,null,{"$f":"1/V60","v":1.9548872180451129},{"$f":"1/W60","v":1.8631381911484066},null,1.9688269073010665,1.8751940074629199,null,2,1.9064612753986363,null,1.8215613382899627,1.7494979839570315,null,1.9402985074626868,1.8475062854778277,null,1.9063270336894,1.8153892600697714,null,null,null,null,null,null,null,null,null,null,null,null,null,1.9548872180451129,1.8631381911484066]
[null,null,"Key Ratio Back",0.54081632653061229,0.56375681010633871,null,0.48699186991869919,0.51202168311421437,null,0.54081632653061229,0.56375681010633871,null,0.55510204081632653,0.57747529611028325,null,0.55510204081632653,0.57747529611028325,null,0.5083333333333333,0.54326686710022065,null,{"$f":"V43/W44","v":0.5115384615384615},{"$f":"W43/W44","v":0.53672883994912746},null,0.50791666666666668,0.53327815469769413,null,0.5,0.5245320284782089,null,0.54897959183673473,0.5715925420720922,null,0.51538461538461533,0.54127014769065651,null,0.52456896551724141,0.55084604828033779,null,null,null,null,null,null,null,null,null,null,null,null,null,0.5115384615384615,0.53672883994912746]
[null,null,"Whip ratio",1.4449612403100776,1.3748810884158833,null,1.563573883161512,1.4938624140706009,null,1.4449612403100776,1.3748810884158833,null,1.468217054263566,1.3967769881930183,null,1.441204097063522,1.3818540825996048,null,1.472,1.4114500372872971,null,{"$f":"V45/V46","v":1.4012251148545176},{"$f":"X45/W46","v":0},null,1.5081967213114753,1.4411846012300751,null,1.5245901639344261,1.4526258935669907,null,1.5152000000000001,1.4366144835227406,null,1.4523809523809523,1.3949143807352398,null,1.4627768783405395,1.4022405525155475,null,null,null,null,null,null,null,null,null,null,null,null,null,1.3782542113323124,1.3392203378261931]
[null,null,"Shank ratio",7.6470588235294121,6.4281381984747306,null,7.6470588235294121,6.570110850482684,null,7.6470588235294121,6.4281381984747306,null,7.6470588235294121,6.4281381984747306,null,7.6470588235294121,6.4281381984747306,null,7.6470588235294121,6.4281381984747306,null,7.6470588235294121,6.4281381984747306,null,8.0246913580246915,6.7231321823393513,null,7.6470588235294121,6.4281381984747306,null,8.387096774193548,6.800229972035635,null,7.6470588235294121,6.4281381984747306,null,7.4705882352941178,6.3440306502120327,null,null,null,null,null,null,null,null,null,null,null,null,null,7.6470588235294121,6.4281381984747306]
[null,null,"Whip Weight",17,null,null,17,null,null,17,null,null,17,null,null,17,null,null,17,null,null,17,null,null,null,null,null,null,null,null,17,null,null,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,17]
[null,null,"DW Target",50,null,null,50,null,null,50,null,null,50,null,null,50,null,null,50,null,null,50,null,null,17,null,null,17,null,null,50,null,null,50,null,null,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,50]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,50,null,null,50,null,null,null,null,null,null,null,null,50]
[null,null,"MAR ",5.9072014296472508,null,null,5.8228358814819199,null,null,5.9758601114864565,null,null,5.7220392156862747,null,null,5.9758601114864565,null,null,5.7220392156862747,null,null,5.7220392156862747,null,null,null,null,null,null,null,null,6.976503489137591,null,null,5.7220392156862747,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.7220392156862747]
[null,null,"DAR ",5.0219859357671979,null,null,5.0254117441091362,null,null,4.9824407683456924,null,null,4.9290580577654328,null,null,4.9824407683456924,null,null,4.9290580577654328,null,null,4.9290580577654328,null,null,6.1472205356540508,null,null,5.8293153326904532,null,null,5.5840640907830696,null,null,4.9290580577654328,null,null,5.732386702318343,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.9290580577654328]
[null,null,"Dip ",10.011474158385555,null,null,10.005501487331355,null,null,9.9806607388818414,null,null,9.9737763272550826,null,null,9.9806607388818414,null,null,9.9737763272550826,null,null,9.9737763272550826,null,null,5.1670784647670214,null,null,4.8979122288119781,null,null,9.0400252025760448,null,null,9.9737763272550826,null,null,4.9002476988252042,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9.9737763272550826]
[null,null,"Inertia ",181.99220063716098,null,null,161.17946470907324,null,null,155.96275079133403,null,null,153.30444089995007,null,null,155.96275079133403,null,null,153.20698516224513,null,null,153.30444089995007,null,null,9.4751508835789053,null,null,10.23341945393997,null,null,165.27117243775933,null,null,153.30444089995007,null,null,10.43320925099121,null,null,null,null,null,null,null,null,null,null,null,null,null,null,153.30444089995007]
[null,null,"Capstan Change",2.8,null,null,0,null,null,0,null,null,0,null,null,0,null,null,0,null,null,0,null,null,210.7244494833721,null,null,209.78471271036821,null,null,2,null,null,0,null,null,191.62248568463573,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0]
[]
[]
[null,null,null,"TOP",null,null,null,null,null,null,null,null,null,null,null,"TOP",null,null,null,null,null,null,null,null,null,"TOP"]
[]
["Main Page",null,"Piano Name","Yamaha Model",null,null,"YC Model mod",null,null,"Renner 17 mod",null,null,"Renner 17 mod","mod2",null,"Scott SSL",null,null,"SSB-VB",null,null,"Bechstein",null,null,"Bechstein","move cap 4 mm",null,"SSB-VB","mod",null,null,null,null,"SSD orig ","dims at note 44",null,"SSO Asu 186339 Orig"]
[null,null,"Key Output Arm",117,123.3288287465668,null,127,135.00524582400493,null,128,134.71451295239129,null,130.80000000000001,137.37772745245135,null,114,120.16655108639841,null,130,135.4400236266961,null,146.75,151.84387541155553,null,143.75,148.94650885468917,null,130,135.4400236266961,null,null,null,null,157,161.77144370994529,null,116.86,122.88311356732461]
[null,null,"Key Input Arm",246,246,null,276,276,null,266,266,null,266,266,null,237,237,null,245,245,null,290,290,null,290,290,null,245,245,null,null,null,null,303,303,null,236,236]
[null,null,"Whippen Output Arm",92,93.189719920166382,null,92,93.816576520365999,null,93,93.600433900790875,null,93,93.600433900790875,null,93,94.376137315115855,null,92.5,94.297696817048518,null,93,95.241448376088243,null,93,95.241448376088243,null,91,92.826750589471786,null,null,null,null,92.5,93.941264614784984,null,92,93.930484998565404]
[null,null,"Whippen Input Arm",60,63.906181234681831,null,58,59.052942348370756,null,62,64.560049566275893,null,59.2,61.876005042342548,null,63,66.730802482811484,null,62,65.787536813594102,null,55.25,59.469004531772683,null,58.25,62.266062184788915,null,62,65.787536813594102,null,null,null,null,66,69.570108523704349,null,62.14,65.919493323295498]
[null,null,"Shank Output Arm",130,137.56816492197603,null,130,141.94717327231282,null,130,137.56816492197603,null,130,137.56816492197603,null,130,137.56816492197603,null,127,134.73678042761748,null,128,135.67977004697494,null,128,135.67977004697494,null,127,134.73678042761748,null,null,null,null,130,140.01428498549711,null,130,137.56816492197603]
[null,null,"Shank Input Arm",17,21.400934559032695,null,17,21.566012612441828,null,17,21.400934559032695,null,17,21.400934559032695,null,16.2,null,null,15.5,null,null,17,21.400934559032695,null,17,null,null,17,21.507687579095993,null,null,null,null,16.2,null,null,16.2]
[null,null,"Knuck Diameter",10,null,null,10,null,null,10,null,null,10,null,null,10,null,null,10,null,null,10,null,null,10,"move cap 4 mm",null,10,null,null,null,null,null,9.6,null,null,10]
[null,null,"Shank Thickness",6,null,null,6.54,null,null,6,null,null,6,null,null,6,null,null,6.35,null,null,6,null,null,6,null,null,6.35,null,null,null,null,null,6,null,null,6.23]
[null,null,"Blow Distance",47,null,null,46,null,null,46,null,null,46,null,null,44.5,null,null,44.5,null,null,46,null,null,46,null,null,45,null,null,null,null,null,44.5,null,null,45]
[null,null,"Let-Off ",2,null,null,2,null,null,2,null,null,2,null,null,2,null,null,2,null,null,2,null,null,2,null,null,2,null,null,null,null,null,2,null,null,2]
[null,null,"Spread",112.5,null,null,113.5,null,null,112.5,null,null,112.5,null,null,113,null,null,112.5,null,null,115,null,null,115,null,null,112.5,null,null,null,null,null,112.5,null,null,112.85]
[null,null,"Key Length (optional)",492,null,null,535,null,null,482,null,null,482,null,null,485,null,null,515,null,null,482,null,null,482,null,null,515,null,null,null,null,null,420,null,null,500]
[null,null,"Capstan Height ",39,null,null,39,null,null,42,null,null,42,null,null,38,null,null,38,null,null,39,null,null,39,null,null,38,null,null,null,null,null,39,null,null,38]
[null,null,"Whipen Heel Height ",22,null,null,21,null,null,18,null,null,18,null,null,22,null,null,22,null,null,22,null,null,22,null,null,22,null,null,null,null,null,22,null,null,22]
[null,null,"Hammer Bore ",45,null,null,57,null,null,45,null,null,45,null,null,45,null,null,45,null,null,45,null,null,45,null,null,45,null,null,null,null,null,52,null,null,45]
[null,null,"Aftertouch ",1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,null,null,null,1.25,null,null,1.25]
[null,null,"Key Ratio Front",2.1025641025641026,1.9946674471831316,null,2.0534223706176959,1.9530422889862937,null,2.078125,1.9745459800163148,null,2.0336391437308867,1.9362672897036157,null,2.0789473684210527,1.9722626459471206,null,1.8846153846153846,1.8089187630037367,null,1.9761499148211241,1.909856418074078,null,2.017391304347826,1.9470077024962116,null,1.8846153846153846,1.8089187630037367,null,null,null,null,1.9299363057324839,1.873012894310792,null,2.0195105254150265]
[null,null,"Key Ratio Back",0.47560975609756095,0.50133670222181625,null,0.48699186991869919,0.51202168311421437,null,0.48120300751879697,0.50644553741500486,null,0.49172932330827074,0.51645762200169687,null,0.48101265822784811,0.50703186112404397,null,0.53061224489795922,0.55281642296610656,null,0.50603448275862073,0.5235995703846742,null,0.49568965517241381,0.51360865122306609,null,0.53061224489795922,0.55281642296610656,null,null,null,null,0.5181518151815182,0.5338991541582353,null,0.49516949152542372]
[null,null,"Whip ratio",1.5333333333333334,1.4582270152858452,null,1.563573883161512,1.4938624140706009,null,1.5,1.4498197341794599,null,1.5709459459459458,1.5127097141571906,null,1.4761904761904763,1.4142814682833351,null,1.4919354838709677,1.4333671905704057,null,1.6832579185520362,1.6015309004408054,null,1.5965665236051503,1.5295884312297967,null,1.467741935483871,1.4110081496513851,null,null,null,null,1.4015151515151516,1.3503107384513673,null,1.4805278403604762]
[null,null,"Shank ratio",7.6470588235294121,6.4281381984747306,null,7.6470588235294121,6.570110850482684,null,7.6470588235294121,6.4281381984747306,null,7.6470588235294121,6.4281381984747306,null,8.0246913580246915,6.6230455275558748,null,8.193548387096774,6.6233064874919307,null,8.387096774193548,6.800229972035635,null,7.5294117647058822,6.3398993007858415,null,8.387096774193548,6.800229972035635,null,null,null,null,8.0246913580246915,6.8222584146705563,null,8.0246913580246915]
[null,null,"Whip Weight",17,null,null,18.7,null,null,17,null,null,17,null,null,16.5,null,null,16.5,null,null,17,null,null,16.5,null,null,17,null,null,null,null,null,16.5,null,null,16.5]
[null,null,"DW Target",50,null,null,50,null,null,50,null,null,50,null,null,50,null,null,50,null,null,50,null,null,50,null,null,50,null,null,null,null,null,50,null,null,50]
[]
[null,null,"MAR ",5.5767575322812055,null,null,5.8228358814819199,null,null,5.5196815568332598,null,null,5.9072014296472508,null,null,5.6980629413822106,null,null,6.4863343880736481,null,null,6.976503489137591,null,null,5.9587878365790603,null,null,6.976503489137591,null,null,null,null,null,5.8275117635220317,null,null,5.8829992794487032]
[null,null,"DAR ",4.6993722147740717,null,null,5.0254117441091362,null,null,4.7198909058093754,null,null,5.0219859357671979,null,null,4.7492916688694606,null,null,5.2482346949062189,null,null,5.5840640907830696,null,null,4.9806873456181249,null,null,5.5840640907830696,null,null,null,null,null,4.9183691291189069,null,null,4.8969349803002862]
[null,null,"Dip ",10.825747130335245,null,null,10.005501487331355,null,null,10.572249365095187,null,null,10.011474158385555,null,null,10.198702872594232,null,null,9.3479610232082884,null,null,9.0400252025760448,null,null,10.084122069258175,null,null,9.0400252025760448,null,null,null,null,null,9.8910757070634094,null,null,10.031002846266745]
[null,null,"Inertia ",150.04962799324278,null,null,212.00255110170633,null,null,174.03275792761812,null,null,181.99220063716098,null,null,185.63238302526884,null,null,218.72879810060911,null,null,165.27117243775933,null,null,301.28520200773545,null,null,165.27117243775933,null,null,null,null,null,318.10810382812127,null,null,188.56453028004174]
[null,null,"Capstan Change",0,null,null,null,null,null,0,null,null,2.8,null,null,null,null,null,null,null,null,2,null,null,null,null,null,2]
[]
[]
[]
[]
[null,null,null,"TOP",null,null,null,null,null,null,null,null,null,null,null,"TOP",null,null,null,null,null,null,null,"TOP"]
[]
["Main Page",null,"Piano Name",null,null,null,"Standard Action",null,null,"SSB Teflon","mod",null,"SSB Teflon",null,null,"SSO Asu 186339 Orig",null,null,"SSD Orig ",null,null,"SSD Orig Mod",null,null,null,null,null,"SSO 106…JS",null,null,"M&H AA.orig.18905",null,null,"Petrov",null,null,"Petrov","cap -1.5"]
[null,null,"Key Output Arm",null,null,null,122,130.38404810405297,null,133.9,139.18767905242188,null,135,140.24621207005913,null,115,{"$f":"SQRT(P123^2 + P111^2)","v":121.1156472137271},null,171,175.17134468856486,null,169,173.21951391226105,null,null,null,null,108,114.49017425089369,null,124.7,130.36138231853789,null,118,123.96773773849388,null,119.5,125.39637155835092]
[null,null,"Key Input Arm",null,null,null,240,240,null,262,262,null,262,262,null,236,{"$f":"P112","v":236},null,324,324,null,324,324,null,null,null,null,237,237,null,232,232,null,234,234,null,234,234]
[null,null,"Whippen Output Arm",null,null,null,92,93.521213902840955,null,93,94.619863256322731,null,93,94.619863256322731,null,92,{"$f":"R113","v":0},null,92.5,93.941264614784984,null,92.5,93.438076873465107,null,null,null,null,92.3,93.006749972789081,null,93.8,94.561435497016149,null,92,93.521213902840955,null,92,93.521213902840955]
[null,null,"Whippen Input Arm",null,null,null,62.5,66.258961658027815,null,64.099999999999994,67.770273719382303,null,63,66.730802482811484,null,64,{"$f":"SQRT(P124^2 + P114^2)","v":67.675697262754525},null,63,66.730802482811484,null,65,68.622153857191051,null,null,null,null,62,65.787536813594102,null,61,64.845971347493901,null,62,65.787536813594102,null,60.5,64.375849508957941]
[null,null,"Shank Output Arm",null,null,null,130,137.56816492197603,null,130,137.56816492197603,null,130,137.56816492197603,null,130,{"$f":"SQRT(P125^2 + P115^2)","v":137.56816492197603},null,130,140.01428498549711,null,130,140.01428498549711,null,null,null,null,130,137.56816492197603,null,127.3,135.01959117105932,null,130,137.56816492197603,null,130,137.56816492197603]
[null,null,"Shank Input Arm",null,null,null,17,21.400934559032695,null,17,21.100947846009191,null,17,21.100947846009191,null,16.2,null,null,16.2,20.523157651784484,null,17,null,null,null,null,null,17,null,null,17.3,null,null,17,"NOTES: ",null,17,21.400934559032695]
[null,null,"Knuck Diameter",null,null,null,10,null,null,9.5,null,null,9.5,null,null,10,null,null,9.6,null,null,9.6,null,null,null,null,null,10,null,null,9.17,null,null,10,null,null,10]
[null,null,"Shank Thickness",null,null,null,6,null,null,6,null,null,6,null,null,6.23,null,null,6,null,null,6,null,null,null,null,null,6,null,null,6.06,null,null,6,null,null,6]
[null,null,"Blow Distance",null,null,null,45,null,null,44.5,null,null,44.5,null,null,45,null,null,45,null,null,44.5,null,null,null,null,null,44.966764597454528,null,null,47,null,null,46,null,null,46]
[null,null,"Let-Off ",null,null,null,2,null,null,2,null,null,2,null,null,2,null,null,2,null,null,2,null,null,null,null,null,2,null,null,2,null,null,2,null,null,2]
[null,null,"Spread",null,null,null,113,null,null,114,null,null,114,null,null,112.85,null,null,112.5,null,null,112.5,null,null,null,null,null,112,null,null,113.7,null,null,113,null,null,113]
[null,null,"Key Length (optional)",null,null,null,515,null,null,520,null,null,520,null,null,500,null,null,515,null,null,515,null,null,null,null,null,482,null,null,482,null,null,485,null,null,485]
[null,null,"Capstan Height ",null,null,null,46,null,null,38,null,null,38,null,null,38,null,null,38,null,null,38,null,null,null,null,null,38,null,null,38,null,null,38,null,null,38]
[null,null,"Whipen Heel Height ",null,null,null,22,null,null,22,null,null,22,null,null,22,null,null,22,null,null,22,null,null,null,null,null,22,null,null,22,null,null,22,null,null,22]
[null,null,"Hammer Bore ",null,null,null,45,null,null,45,null,null,45,null,null,45,null,null,52,null,null,52,null,null,null,null,null,45,null,null,45,null,null,45,null,null,45]
[null,null,"Aftertouch ",null,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,null,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25]
[null,null,"Key Ratio Front",null,null,null,1.9672131147540985,1.8407159732336893,null,{"$f":"1/J128","v":1.9566840926064224},{"$f":"1/K128","v":1.8823505196988279},null,1.9407407407407407,1.8681431472040011,null,null,null,null,1.8947368421052631,1.8496175877169634,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"1/AK128","v":1.9581589958158998},{"$f":"1/AL128","v":1.8660827031275971}]
[null,null,"Key Ratio Back",null,null,null,0.5083333333333333,0.54326686710022065,null,{"$f":"J111/K112","v":0.51106870229007639},{"$f":"K111/K112","v":0.53125068340619042},null,0.51526717557251911,0.53529088576358441,null,null,null,null,0.52777777777777779,0.54065229842149642,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AK111/AL112","v":0.51068376068376065},{"$f":"AL111/AL112","v":0.53588192973654236}]
[null,null,"Whip ratio",null,null,null,1.472,1.4114500372872971,null,{"$f":"J113/J114","v":1.4508580343213731},{"$f":"L113/K114","v":0},null,1.4761904761904763,1.417933843680284,null,null,null,null,1.4682539682539681,1.4077646472029521,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AK113/AK114","v":1.5206611570247934},{"$f":"AM113/AL114","v":0}]
[null,null,"Shank ratio",null,null,null,7.6470588235294121,6.4281381984747306,null,7.6470588235294121,6.4281381984747306,null,7.6470588235294121,6.5195253751595912,null,null,null,null,8.0246913580246915,6.8222584146705563,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.387096774193548,6.800229972035635]
[null,null,"Whip Weight",null,null,null,17,null,null,17,null,null,17,null,null,null,null,null,17,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,17]
[null,null,"DW Target",null,null,null,50,null,null,50,null,null,50,null,null,null,null,null,50,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,50]
[]
[null,null,"MAR ",null,null,null,5.7220392156862747,null,null,5.9758601114864565,null,null,5.8166014497402028,null,null,null,null,null,6.2184281577285692,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.976503489137591]
[null,null,"DAR ",null,null,null,4.9290580577654328,null,null,4.9824407683456924,null,null,4.9483658080521344,null,null,null,null,null,5.1924972351234659,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.5840640907830696]
[null,null,"Dip ",null,null,null,9.9737763272550826,null,null,9.9806607388818414,null,null,9.8386940554885172,null,null,null,null,null,9.4348863996534114,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9.0400252025760448]
[null,null,"Inertia ",null,null,null,153.20698516224513,null,null,155.96275079133403,null,null,177.8841198450709,null,null,null,null,null,339.37551375059513,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,165.27117243775933]
[null,null,"Capstan Change",null,null,null,0,null,null,0,null,null,0,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2]
[]
[]
[]
[null,null,null,"TOP",null,null,null,null,null,null,null,null,null,null,null,"TOP",null,null,null,null,null,null,null,"TOP",null,null,null,null,null,null,null,null,null,null,"TOP"]
[]
["Main Page",null,"Piano Name","SSB David Orig",null,null,"SSB David Mod.",null,null,null,null,null,"SSO 106529 Az  ",null,null,"SSO 106529 Az mod",null,null,null,null,null,"Baldwin M W.T.",null,null,"Baldwin M Tru orig",null,null,"M&H AA mod 18905",null,null,"SSO 106529 Az mod",null,null,"M&H AA JS"]
[null,null,"Key Output Arm",135,140.24621207005913,null,133,{"$f":"SQRT(G157^2 + G145^2)","v":138.32208789632983},null,null,null,null,108,114.82595525402782,null,110.3,127.79628320103836,null,null,null,null,114,120.48651376813922,null,125,{"$f":"SQRT(Y157^2 + Y145^2)","v":130.9427355755179},null,121.7,127.79628320103836,null,108,114.82595525402782,null,123,129.0348790056394]
[null,null,"Key Input Arm",260,260,null,260,{"$f":"G146","v":260},null,null,null,null,237,237,null,237,232,null,null,null,null,228,228,null,250,{"$f":"Y146","v":250},null,232,232,null,237,237,null,231,231]
[null,null,"Whippen Output Arm",92,92.561364585253969,null,92,{"$f":"I147","v":0},null,null,null,null,92.3,92.994498423112617,null,93.1,93.572637343303441,null,null,null,null,92,93.400165514815612,null,93,{"$f":"AA147","v":0},null,92.154943335453993,93.572637343303441,null,92.3,92.994498423112617,null,93,94.025884859927345]
[null,null,"Whippen Input Arm",62,65.787536813594102,null,64,{"$f":"SQRT(G158^2 + G148^2)","v":67.675697262754525},null,null,null,null,62,65.787536813594102,null,59.7,66.730802482811484,null,null,null,null,65,68.622153857191051,null,63,{"$f":"SQRT(Y158^2 + Y148^2)","v":66.730802482811484},null,63,66.730802482811484,null,62,65.787536813594102,null,63,66.730802482811484]
[null,null,"Shank Output Arm",130,137.56816492197603,null,130,{"$f":"SQRT(G159^2 + G149^2)","v":137.56816492197603},null,null,null,null,130,138.57849761056005,null,130,135.76818478568535,null,null,null,null,130,138.57849761056005,null,141.4,{"$f":"SQRT(Y159^2 + Y149^2)","v":149.32501464925429},null,127,135.76818478568535,null,130,138.57849761056005,null,127,135.76818478568535]
[null,null,"Shank Input Arm",17,21.584485168750263,null,17,null,null,null,null,null,17,null,null,16.2,null,null,null,null,null,17,null,null,17,null,null,17,null,null,17,null,null,17.75]
[null,null,"Knuck Diameter",10,null,null,10,"capstan    -2",null,null,null,null,10,null,null,10,null,null,null,null,null,9.4,null,null,10.6,null,null,10,null,null,10,null,null,10,"NOTES: dims at note 1 "]
[null,null,"Shank Thickness",6.6,null,null,6.6,null,null,null,null,null,6.2,null,null,6.2,null,null,null,null,null,6.65,null,null,6.65,null,null,6,null,null,6.2,null,null,6.35]
[null,null,"Blow Distance",45,null,null,45,null,null,null,null,null,44.5,null,null,44.5,null,null,null,null,null,47.6,null,null,47.6,null,null,45,null,null,44.5,null,null,47.830045368896386]
[null,null,"Let-Off ",2,null,null,2,null,null,null,null,null,2,null,null,2,null,null,null,null,null,1.6,null,null,1.6,null,null,2,null,null,2,null,null,1.6]
[null,null,"Spread",111.5,null,null,111.5,null,null,null,null,null,112,null,null,112,null,null,null,null,null,112.75,null,null,112.3,null,null,113,null,null,112,null,null,114]
[null,null,"Key Length (optional)",515,null,null,515,null,null,null,null,null,482,null,null,482,null,null,null,null,null,515,null,null,515,null,null,482,null,null,482,null,null,482]
[null,null,"Capstan Height ",38,null,null,38,null,null,null,null,null,39,null,null,39,null,null,null,null,null,39,null,null,39,null,null,39,null,null,39,null,null,39]
[null,null,"Whipen Heel Height ",22,null,null,22,null,null,null,null,null,22,null,null,22,null,null,null,null,null,22,null,null,22,null,null,22,null,null,22,null,null,22]
[null,null,"Hammer Bore ",45,null,null,45,null,null,null,null,null,48,null,null,48,null,null,null,null,null,48,null,null,48,null,null,48,null,null,48,null,null,48]
[null,null,"Aftertouch ",1.25,null,null,1.25,null,null,null,null,null,1.25,null,null,1.25,null,null,null,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25]
[null,null,"Key Ratio Front",1.9259259259259258,1.85388251249252]
[null,null,"Key Ratio Back",0.51923076923076927,0.53940850796176587]
[null,null,"Whip ratio",1.4838709677419355,1.4069741636249773]
[null,null,"Shank ratio",7.6470588235294121,6.3734744584571068]
[null,null,"Whip Weight",17]
[null,null,"DW Target",50]
[]
[null,null,"MAR ",5.8918406072106277]
[null,null,"DAR ",4.837045408835758]
[null,null,"Dip ",10.139724277025092]
[null,null,"Inertia ",166.84689825301504]
[null,null,"Capstan Change",0]
[]
[]
[]
[null,null,null,"TOP",null,null,null,null,null,null,null,null,null,null,null,"TOP",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"TOP"]
[]
["Main Page",null,"Piano Name","M&H AA JS",null,null,null,null,null,null,null,null,"M. I. ",null,null,"SSL 367,119 "]
[null,null,"Key Output Arm",123,129.0348790056394,null,null,null,null,null,null,null,115,{"$f":"SQRT(M191^2 + M179^2)","v":121.43310915891102},null,113,121.24241667007466]
[null,null,"Key Input Arm",231,231,null,null,null,null,null,null,null,250,{"$f":"M180","v":250},null,239,239]
[null,null,"Whippen Output Arm",91.79350084759605,93.455126648838558,null,null,null,null,null,null,null,94.15,{"$f":"O181","v":0},null,93,93.869758464276686]
[null,null,"Whippen Input Arm",61.79350084759605,65.5929626332113,null,null,null,null,null,null,null,57,{"$f":"SQRT(M192^2 + M182^2)","v":61.098281481560512},null,60,62.641839053463301]
[null,null,"Shank Output Arm",127,135.76818478568535,null,null,null,null,null,null,null,130,{"$f":"SQRT(M193^2 + M183^2)","v":140.01428498549711},null,130,138.57849761056005]
[null,null,"Shank Input Arm",17,null,null,null,null,null,null,null,null,16.2,null,null,16]
[null,null,"Knuck Diameter",10,null,null,null,null,null,null,null,null,10,"change to 16.2 k and +2 to cap ",null,10,"new shanks and Abel hammers"]
[null,null,"Shank Thickness",6,null,null,null,null,null,null,null,null,6,null,null,6]
[null,null,"Blow Distance",47.830045368896386,null,null,null,null,null,null,null,null,47,null,null,44.5]
[null,null,"Let-Off ",1.6,null,null,null,null,null,null,null,null,2,null,null,2]
[null,null,"Spread",113,null,null,null,null,null,null,null,null,113.5,null,null,112]
[null,null,"Key Length (optional)",482,null,null,null,null,null,null,null,null,515,null,null,492]
[null,null,"Capstan Height ",39,null,null,null,null,null,null,null,null,39,null,null,43.94]
[null,null,"Whipen Heel Height ",22,null,null,null,null,null,null,null,null,22,null,null,18]
[null,null,"Hammer Bore ",48,null,null,null,null,null,null,null,null,52,null,null,48]
[null,null,"Aftertouch ",1.25,null,null,null,null,null,null,null,null,1.25,null,null,1.25]
[null,null,"Key Ratio Front",null,null,null,null,null,null,2,1.9463692255528202]
[null,null,"Key Ratio Back",null,null,null,null,null,null,0.5,0.51377713276162884]
[null,null,"Whip ratio",null,null,null,null,null,null,1.4555555555555555,1.395961677334592]
[null,null,"Shank ratio",null,null,null,null,null,null,7.6470588235294121,6.6168257812707383]
[null,null,"Whip Weight",null,null,null,null,null,null,17]
[null,null,"DW Target",null,null,null,null,null,null,50]
[]
[null,null,"MAR ",null,null,null,null,null,null,5.5653594771241828]
[null,null,"DAR ",null,null,null,null,null,null,4.7456747131983485]
[null,null,"Dip ",null,null,null,null,null,null,10]
[null,null,"Inertia ",null,null,null,null,null,null,310.79255439380302]
[null,null,"Capstan Change",null,null,null,null,null,null,0]
[]
[]
[]
[]
[]
[null,null,"Stuff below is interesting, but you don't need to use it."]
[]
[]
[null,"Number",null,"TOP",null,null,null,null,null,null,null,null,null,null,null,"TOP",null,null,null,null,null,null,null,null,"TOP",null,null,null,null,"TOP"]
[]
[null,null,"MEASURE WHIPPEN HEEL HEIGHT --- ONE SIMPLE MEASUREMENT"]
[]
[]
[null,null,null,null,{"$f":"C239","v":62.5}]
[]
[]
[null,null,null,61]
[null,null,null,130]
[]
[null,null,null,null,{"$f":"C240","v":66.258961658027815}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,{"$f":"D18","v":22},"Whippen Heel Height here"]
[null,null,{"$f":"D8","v":62.5}," is carried in from Main Form"]
[null,null,{"$f":"SQRT(C238^2 + C239^2)","v":66.258961658027815}," is Whippen Input Distance Radial Arm "]
[]
[]
[]
[]
[null,null,"MEASURE CAPSTAN-KEY HEIGHT --- ONE SIMPLE MEASUREMENT"]
[null,null,null,null,null,null,null,null,null,null,null,"`"]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,{"$f":"C266","v":130.38404810405297}]
[null,null,null,{"$f":"C264","v":46}]
[]
[]
[]
[]
[null,null,null,null,null,null,{"$f":"C265","v":122}]
[]
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["Top"]

{"sheet":"Simple AR Calculator","index":10,"n_rows":234,"n_cols":19,"rows_kept":234,"cut":false,"hidden":false,"merged":[[126,8,126,10],[143,7,143,8],[144,7,144,8],[145,7,145,8],[142,7,142,8],[78,39,78,44],[3,3,3,5],[10,5,10,7],[18,6,18,7],[4,9,4,11],[14,9,14,11],[4,6,4,7],[4,4,4,5],[0,1,0,3],[1,5,1,7],[5,6,5,7],[0,13,0,15],[230,4,230,5],[230,6,230,7],[211,4,211,5],[211,6,211,7],[174,4,174,5],[174,6,174,7],[230,8,230,9],[174,14,174,15],[174,12,174,13],[193,12,193,13],[211,14,211,15],[196,7,196,8],[174,10,174,11],[211,12,211,13],[230,10,230,11],[230,12,230,13],[230,14,230,15],[193,14,193,15]]}
[null,"String",null,null,null,null,null,null,null,"Copyright © Nick Gravagne November 2014",null,null,null,"DO NOT ENTER ANY DATA IN THIS BOX!!!"]
[null,"NOTE: Data entry boxes have this color > >",null,null,null," All other boxes are locked",null,null,null,"All rights reserved. Do not distribute without",null,null,null,32,6.0382467326451614,4.9683356499324391,{"$f":"P2","v":4.9683356499324391}]
[null,"Calculated values display in boxes > >",null,null,null,"OR",null," COMMENTS",null,"express permission.","   AGP"," v 516usrfmt",null,32.5,6.1488367696048654,4.9602826567936464,{"$f":"P3","v":4.9602826567936464}]
[null,null,null,"Main Calculation Page"]
[null,"      Data Entry","MAR","     DAR","Go Archives Page",null,"Summary",null,null,"KNUCKLE TRIG"]
[{"$f":"F7","v":50},null,"Standard Action",null,"WRW ->",{"$f":"Compare!C24","v":17},"Action Ratios and Dip"]
[null,"Key Out",122,{"$f":"SQRT(C19^2 + C7^2)","v":130.38404810405297},"DW ->",{"$f":"Compare!L24","v":50},"MAR-SW RO",{"$f":"C46","v":5.7220392156862747},{"$f":"((1/(COS(RADIANS(F89))))) * H9","v":4.9453467276661147},null,{"$f":"C12","v":17}]
[null,"Key In",240,{"$f":"C8","v":240},{"$f":"C9+1.5","v":93.5},{"$f":"B109","v":5.3868593465675056},"DAR Computed ",{"$f":"C47","v":4.9290580577654328},null,null,null,{"$f":"C14","v":6}]
[null,"Whip_out",92,{"$f":"E9","v":93.521213902840955},{"$f":"Generic!H62","v":93.521213902840955},{"$f":"Generic!O5","v":4.8803928230201157},"DAR per dip below ",{"$f":"(A15 - C16) / (H10 - C22)","v":4.9290580577654328},{"$f":"(1/H8*F7) -1.6","v":8.5439259619245149},{"$f":"C13","v":10}]
[null,"Whip_in",62.5,{"$f":"SQRT(C20^2 + C10^2)","v":66.258961658027815},null,{"$f":"Generic!O24","v":5.4117647058823533},"Regulation Dip mm",{"$f":"H47","v":9.9737763272550826},{"$f":"H10/25.4","v":0.39266835934075128}]
[{"$f":"(C15-C16)/(H47-C22)","v":4.9290580577654328},"Shank_out",130,{"$f":"SQRT(C21^2 + C11^2)","v":137.56816492197603},null,"Inherent Mechanical Advantage (IMA)",null,null,null,null,{"$f":"K12/K7","v":0.76470588235294112},{"$f":"DEGREES(ATAN(K11))","v":37.405356631408551}]
[{"$f":"(D7*E9*D11)/(D8*D10*A11)","v":21.400934559032702},"Shank_Input",17,{"$f":"K13","v":21.400934559032695},null,null,"57      8.47      7",{"$f":"C64","v":8.7381435385711921},{"$f":"H12*C49^2","v":254.72571121021096},null,{"$f":"J9+(L8/2)","v":13}]
[2,"Knuckle Diameter",10,null,null,null,"Key Inertia (est.)",{"$f":"'Key Leads'!H125*10000","v":30.923019097792011},null,"Radial Arm",{"$f":"SQRT(K12^2+K7^2)","v":21.400934559032695},{"$f":"AVERAGE(K13,K16)","v":20.439860328095868}]
[null,"Shank Thickness",6,null,null,null,"Inertia per SW H12",122.28396606445312,{"$f":"'Key Leads'!J189","v":141.5029323966572},null,{"$f":"AVERAGE(C12,K13)","v":19.200467279516346},{"$f":"K16+(K13-L13)/2","v":19.95932321262746}]
[{"$f":"DipCalc!G16","v":45},"Blow Distance",45,null,null,null," Plus Key Inertia",{"$f":"H13+H14","v":153.20698516224513},{"$f":"H13+I14","v":172.42595149444921},"Compute Shank_Input as Radial Arm "]
[{"$f":"K141","v":8.6029696943534795},"Let-Off ",2,null,null,{"$f":"G128","v":19.537539455580013},"Est. Key Leads Req'd",3.041404991948466,null,null,{"$f":"$C$17-$E$9","v":19.478786097159045}," Convergence"]
[{"$f":"K141","v":8.6029696943534795},"Spread",113,null,null,{"$f":"D11/F16","v":7.0412226286092494},"SW @ C40",{"$f":"'Key Leads'!H185","v":10.373632737540435},"Rhodes",{"$f":"((F8*86)-194)+(H12-10)*(44+(( C53-5*8)))","v":257.4095035064708}]
[{"$f":"D150","v":8.0438539631207941},"Key Length (optional)",515,null,null,{"$f":"Generic!X89","v":20.058486024657874},"Inertia @ C40",{"$f":"'Key Leads'!J185","v":145.17145145634299},{"$f":"H20*F71^2","v":238.06172317793408}]
[{"$f":"P148","v":9.8399084831644981},"Capstan Height ",46,null,null,{"$f":"D11/F18","v":6.8583523578431418},"Try Out a S' Weight in Box Below",null,{"$f":"'Key Leads'!H128","v":2.6200684671562492E-3}]
[null,"Whipen Heel Height ",22,null,null,{"$f":"Generic!X76","v":20.387393818240763},"30      9.99      8.5",10]
[{"$f":"E56/A23","v":5.3991675447024337},"Hammer Bore ",45,null,null,{"$f":"D11/F20","v":6.7477072424476692},null,null,{"$f":"((F8*86)-194)+(H20-10)*(44+(C53-5*8))","v":269.26990380480549}]
[{"$f":"(D7*E9*D11) / (C8*D10*F16)","v":5.3991675447024337},"Aftertouch",1.25,null,null,{"$f":"K13","v":21.400934559032695},"Reflected Inertia",{"$f":"C67","v":139.94273282009675},{"$f":"C67","v":139.94273282009675}]
[{"$f":"(C8*D10*F16*E56) / (D7*E9*D11)","v":7.9641907097679958},"Key ratio Front to Back",{"$f":"1/C24","v":1.9672131147540985},{"$f":"1/D24","v":1.8407159732336893},null,{"$f":"D11/F22","v":6.4281381984747306},null,null,{"$f":"(H12/1000)*(D11/1000)^2","v":1.6536936646745979E-4}]
[{"$f":"P148","v":9.8399084831644981},"Key ratio Back / Front",{"$f":"C7/D8","v":0.5083333333333333},{"$f":"D7/D8","v":0.54326686710022065},{"$f":"C15/D43","v":5.1060944584348924},{"$f":"E77","v":0},"Est. Key Leads Req'd",{"$f":"'Key Leads'!E110","v":4.0379795396419427},{"$f":"(H20/1000)*(D11/1000)^2","v":1.8925000000000002E-4}]
[null,"Whip ratio",{"$f":"C9/C10","v":1.472},{"$f":"E9/D10","v":1.4114500372872971},null,null,"Relative DW",{"$f":"C46*H20","v":57.220392156862744}]
[{"$f":"AVERAGE(C47,C48,C49)","v":5.1957231044951868},"Shank ratio",{"$f":"C11/C12","v":7.6470588235294121},{"$f":"F23","v":6.4281381984747306},null,null,"DAR Run Up Slope",{"$f":"((C48-C47)+(C50-C48)/2)","v":-2.2995862022565858}]
[null,"Whip Wt.",{"$f":"Compare!C24","v":17},null,{"$f":"C8*D12*D10","v":340320.88857429835},"input",null,{"$f":"(E28*D47 ) / E27","v":43.000000000000007}]
[null,"DW Target",{"$f":"Compare!L24","v":50},null,{"$f":"D7*D9*D11","v":1677461.4180530377},"out"]
[null,null,null,null,{"$f":" E28 / E27","v":4.9290580577654337},"AT","LO","Blow","AR"]
[null,"MAR =",{"$f":"H7","v":5.7220392156862747},null,{"$f":"((C15 - C16) * E27) / E28","v":8.7237763272550808},{"$f":"H47-E30","v":1.2500000000000018},{"$f":"C15-H30","v":2},{"$f":"(E30 * E28) / E27","v":43},{"$f":"H30/E30","v":4.9290580577654337},{"$f":"H30/E30","v":4.9290580577654337}]
[null,"DAR =",{"$f":"H8","v":4.9290580577654328},null,{"$f":"(C15  * E27) / E28","v":9.1295333657320619},{"$f":"H47-E31","v":0.8442429615230207},{"$f":"C15-H31","v":0},{"$f":"(E31 * E28) / E27","v":45.000000000000007},{"$f":"H31/E31","v":4.9290580577654346},{"$f":"H31/E31","v":4.9290580577654346}]
[null,"Dip =",{"$f":"H10","v":9.9737763272550826},null,9,{"$f":"(C32 * E28) / E27","v":49.161322572206799},{"$f":"F32 - C15","v":4.1613225722067995},null,{"$f":"F32/C32","v":4.9290580577654337}]
[null,"Inertia =",{"$f":"H15","v":153.20698516224513},null,10,{"$f":"(E33 * E28) / E27","v":49.290580577654339},{"$f":"F33 - C15","v":4.2905805776543389},null,{"$f":"F33/E33","v":4.9290580577654337}]
[null,"Capstan Chg",{"$f":"Compare!P13","v":0}]
[]
[]
[]
[]
[{"$f":"AVERAGE(D47,D48,D49)","v":8.2881713188317967},null,null,{"$f":"IF(C20<112.5,K16+0.25,C39+0.15)","v":19.728786097159045}]
[null,null,"Cos ang",{"$f":"I157","v":4.0425626231570266}]
[]
[null,"Show Summary Page"]
[null,{"$f":"D159","v":5.3295977938006729},{"$f":"D159","v":5.3295977938006729},{"$f":"$E$56/C51","v":8.8129979510393337},{"$f":"E56/D43","v":4.8791569269488972},{"$f":"J143","v":3.7350280690358995}]
[null,"ACTION RATIOS ",null,"Δ Dips","AT Min.","Dip Min.","Additional AT","Δ TOT DIPS"]
[null,"& Related Dips","ARs",1,2,3,4,5]
[null,"MAR",{"$f":"C24*C25*C26","v":5.7220392156862747},null,null,null,"Max Dip Possible >",{"$f":"(((D8+6) / (D7)) / D23)*H47","v":10.223120735436458},{"$f":"G72","v":2.3796944112789791}]
[null,"DAR / Max Dip Normal",{"$f":"D24*D25*F23","v":4.9290580577654328},{"$f":"$E$56/C47","v":8.7237763272550826},{"$f":"(($D$8*$D$10*$F$22)*$C$16)/(($D$7*$D$9*$D$11))","v":0.40575703847698052},{"$f":"D47+E47","v":9.1295333657320636},{"$f":"IF(C22=0,G47=0,(C22-E47))","v":0.84424296152301948},{"$f":"D47+G47+E47","v":9.9737763272550826}]
[null,"DAR / Avg. Dip Normal",{"$f":"D24*D25*F19","v":5.258943711017694},{"$f":"$E$56/C48","v":8.1765469194723099},{"$f":"(($D$8*$D$10*$F$20)*$C$16)/(($D$7*$D$9*$D$11))","v":0.38654052771082226},{"$f":"D48+E48","v":8.5630874471831326},{"$f":"C22-E48","v":0.86345947228917774},{"$f":"D48+E48+G48","v":9.4265469194723099}]
[null,"DAR / Min Dip Normal",{"$f":"D24*D25*F17","v":5.3991675447024319},{"$f":"$E$56/C49","v":7.9641907097679976},{"$f":"(($D$8*$D$10*D39)*$C$16)/(($D$7*$D$9*$D$11))","v":0.37405346936825101},8.3382441791362485,{"$f":"C22-E49","v":0.87594653063174899},9.2141907097679976]
[null,null,null,6,{"$f":"(($D$8*$D$10*F20)*$C$16)/(($D$7*$D$9*$D$11))","v":0.38654052771082226},6.3865405277108227,{"$f":"C22-E50","v":0.86345947228917774},7.25,{"$f":"A26*A39","v":43.063043215268706}]
[null,"Sys. Rotate Ratio (per Dip)",{"$f":"F71","v":4.8791569269488972},{"$f":"$E$56/C51","v":8.8129979510393337},{"$f":"(($D$8*$D$10*D39*$C$16)/(($D$7*$D$9*$D$11)))","v":0.37405346936825101},9.1870514204075846,{"$f":"C22-E51","v":0.87594653063174899},10.062997951039334]
[null,"Sys. Rotate Ratio (end stroke)",{"$f":"C54*(D11/D8)","v":4.9290580577654337},{"$f":"$E$56/C52","v":8.7237763272550808},{"$f":"(($D$8*$D$10*D39)*$C$16)/(($D$7*$D$9*$D$11))","v":0.37405346936825101},9.0978297966233317,{"$f":"C22-E52","v":0.87594653063174899},9.9737763272550808]
[null,"RO Per Layout Configs ",{"$f":"A21","v":5.3991675447024337},{"$f":"$E$56/C53","v":7.9641907097679958},{"$f":"C16/C53","v":0.37042747487293004},8.3346181846409255,{"$f":"C22-E53","v":0.87957252512706996},9.2141907097679958]
[null,{"$f":"G144","v":8.5991837903387456},{"$f":"($E$9/$F$22)*($D$7/$D$10)","v":8.5991837903387491},{"$f":"F75","v":8.6029696943534795},{"$f":"C54^2","v":73.945961860024696},{"$f":"C65","v":122.28396865619229}]
[null,"INERTIA RE STRIKEWEIGHT        ",null,null," IMPACT ON DIP "]
[null,{"$f":"D7*E9","v":12193.674452257443},{"$f":"C11/1000","v":0.13},"Plus Shk I",{"$f":"C15-C16","v":43}," Adjusted Hammer Rise to Let-Off ",null,null,{"$f":"AVERAGE(Generic!BC60,Generic!BC59,Generic!BC58)","v":32.470380765206642}]
[null,{"$f":"D10*F22","v":1418.0037023929096},{"$f":"AVERAGE(C11,D11)/1000","v":0.13378408246098802},{"$f":"((0.004*((C11/1000)^2)/3))","v":2.2533333333333333E-5}]
[{"$f":"C58^2","v":1.8925000000000001E-2},{"$f":"B57/B56","v":0.1162901066405288},{"$f":"D11/1000","v":0.13756816492197604},{"$f":"C59+$D$57","v":1.8790269980079312E-4},{"$f":"E56/C47","v":8.7237763272550826}," Dip mm to Point of Let-Off"]
[{"$f":"C64/1000*A58","v":1.6536936646745979E-4},{"$f":"B56/B57","v":8.5991837903387509},{"$f":"($C$64/1000)*$C$58^2","v":1.6536936646745979E-4},{"$f":"C60+$D$57","v":1.7893020554335553E-4}]
[null,{"$f":"B59^2","v":73.945961860024724},{"$f":"(C64/1000)*C57^2","v":1.563968722100222E-4},{"$f":"C61+$D$57","v":1.7020795913518649E-4},{"$f":"E48","v":0.38654052771082226}," Additional Key Dip -- Jack Scrubs Knuckle;"]
[{"$f":"D63*(E9/F16 * D7/D10)^2","v":1.4104424763443634E-2},null,{"$f":"(C64/1000)*C56^2","v":1.4767462580185316E-4},{"$f":"C62+$D$57","v":2.1178333333333335E-4},null," mm of Additional Key Travel per Formula*"]
[null,{"$f":"(C66/1000 * C58^2)","v":1.8925000000000002E-4},{"$f":"(C66/1000)*C58^2","v":1.8925000000000002E-4},{"$f":"($C$64/1000 - 0.0016)*$C$58^2","v":1.3508936646745981E-4}]
[null,"MA Hammer Factor*",{"$f":"1/C46","v":0.17476287077142386},{"$f":"($C$66/1000 - 0.0016)*$C$58^2","v":1.5897E-4},{"$f":"G48","v":0.86345947228917774},"Add in Additional Aftertouch**"]
[null,"Balance Strikeweight gm ",{"$f":"F7*C63","v":8.7381435385711921},"ham only"]
[null,"Inertia SW End Rotation",{"$f":"((C59*E54)*10000)","v":122.28396865619229},{"$f":"A59*10000","v":1.6536936646745979},{"$f":"E58+E60+E63","v":9.9737763272550826},"Regulator's Final Dip minimum"]
[null,"Est. Note  S'weight",{"$f":"H20","v":10},"ham only",{"$f":"E65/25.4","v":0.39266835934075128},"Decimal Inches Regulator's Dip"]
[null,"Inertia SW End Rotation",{"$f":"(B62*E54)*10000","v":139.94273282009675},{"$f":"A61*10000","v":141.04424763443635},"*Jack top doesn't quite clear knuckle, hammer near L-O "]
[null,"* based on 50 gms DW",null,null,"**General losses and cycle completion will require more dip"]
[null,"Inertia at key front",{"$f":"(F7/1000 * (C8/1000)^2) * 10000","v":28.8}]
[null,"Rotations",null,null,null,null,{"$f":"F74/F72","v":8.6029696943534795}]
[null,"System Rotations Ratio (Shank & Key)",null,null,null,{"$f":"(F73/F72)*(C11/C8)","v":4.8791569269488972},{"$f":"H47/D8","v":4.1557401363562847E-2}]
[null,"Degrees Key Angle Down From Rest (to pt. Of Let-Off)",null,null,{"$f":"D47/D8","v":3.6349068030229512E-2},{"$f":"DEGREES(ATAN(E72))","v":2.0817316775544539},{"$f":"DEGREES(ATAN(G71))","v":2.3796944112789791}]
[null,"Theoretical Angle of Shank Rotation to String ",null,null,{"$f":"C15/D11","v":0.32711056388316628},{"$f":"(C15 * 360) / (6.28 * D11)","v":18.7515609869331}]
[null,"Theoretical Angle of Shank Rotation to Let-Off ",null,null,null,{"$f":"'Unit Circle'!AE11","v":17.909074533776597},{"$f":"(C15/D11)*57.3","v":18.743435310505426}]
[null,"Ratio Key Angle to Shank Angle (end of stroke)",null,null,"Rθ =",{"$f":"F74/F72","v":8.6029696943534795},{"$f":"F75^2","v":74.011087561964402}]
[null,"Hammer Nose Arc Travel to String",null,null,null,{"$f":"D11*RADIANS(F73)","v":45.022824653356906},{"$f":"G75*C62","v":1.4006598321101765E-2}]
[null,"Hammer Nose Arc Travel to Let-Off",null,null,null,{"$f":"D11*RADIANS(F74)","v":43},{"$f":"G75*C59","v":1.2239166661689747E-2}]
[]
[]
[null,null,null,null,null,null,{"$f":"(E56/D11)*57.3","v":17.910393741149633}]
[null,null,null,null,null,null,{"$f":"G80/F72","v":8.6036034010829585}]
[]
[]
[null,null,null,"UNDERSTANDING THE READOUTS BELOW IS NOT ESSENTIAL TO YOUR ACTION ANALYSIS"]
[null,null,null,"Read here to Interpret the meaning of the columns below"]
[]
[null,{"$f":"C6","v":"Standard Action"},null,null,null,null,{"$f":"F144","v":17.901193297460946},{"$f":"Generic!BI55","v":2.0817316775544539}]
[null,"Action Ratios (AR)","Key Travel","Ham Travel","Shank Input","Cos Ang. ∆","Shank Ang","Key Ang","Shk/Key RO","Squared","Key Tan","Inertia 1","Inertia 2","Inertia 3"]
[null,{"$f":"Generic!$BB$55","v":4.9290580577654328},{"$f":"Generic!BA55","v":8.7180188664909686},{"$f":"Generic!BC55","v":42.971621141628376},{"$f":"Generic!AJ74","v":19.538344326538212},{"$f":"Generic!BR156","v":4.6515891042344686},{"$f":"(D89/$D$11)*57.3","v":17.898573356792419},{"$f":"DEGREES(ATAN(K89))","v":2.080358997507378},{"$f":"G89/H89","v":8.6035984069278122},{"$f":"I89^2","v":74.021905547690793},{"$f":"C89/$D$8","v":3.6325078610379036E-2},{"$f":"(J89*$C$59) * 10000","v":122.40955625135774},{"$f":"(((($C$59 *( ($E$9/E109)*($D$7/$D$10))^2))) * 10000)","v":122.28396865619229},{"$f":"L89+$C$69","v":151.20955625135775}]
[null,{"$f":"Generic!$BB$56","v":5.0535766800849773},{"$f":"Generic!BA56","v":8.1253706037140443},{"$f":"Generic!BC56","v":41.062183399977286},{"$f":"Generic!AJ73","v":19.549789770965248},{"$f":"Generic!BR151","v":5.0796679171226637},{"$f":"(D90/$D$11)*57.3","v":17.103252850346315},1.9390487185626981,8.8204348279727309,77.800070554514335,3.3855710848808521E-2,{"$f":"(J90*$C$59) * 10000","v":128.65748378723708},{"$f":"(((($C$59 *( ($E$9/E108)*($D$7/$D$10))^2))) * 10000)","v":125.7656379189991},{"$f":"L90+$C$69","v":157.45748378723709}]
[null,{"$f":"Generic!$BB$57","v":5.1088642910738074},{"$f":"Generic!BA57","v":7.4408509000844862},{"$f":"Generic!BC57","v":38.014297458646027},{"$f":"Generic!AJ72","v":19.563429904667224},{"$f":"Generic!BR146","v":5.5471421851848657},15.833745006454285,1.7758034689391231,8.9163836445896063,79.501897297505025,3.1003545417018694E-2,131.47178389049461,{"$f":"(((($C$59 *( ($E$9/E107)*($D$7/$D$10))^2))) * 10000)","v":128.84236286863103},160.27178389049462]
[null,{"$f":"Generic!$BB$58","v":5.1553757759074177},{"$f":"Generic!BA58","v":6.8139644330529494},{"$f":"Generic!BC58","v":35.128547176055896},{"$f":"Generic!AJ71","v":19.579683549857439},{"$f":"Generic!BR141","v":6.0576374134487496},14.631770034365372,1.6262773072872985,8.9970941418175503,80.947702996727685,2.8391518471053957E-2,133.86270361564954,{"$f":"(((($C$59 *( ($E$9/E106)*($D$7/$D$10))^2))) * 10000)","v":131.54126908566818},162.66270361564955]
[null,{"$f":"Generic!$BB$59","v":5.1944837316729311},{"$f":"Generic!BA59","v":6.2398666447607161},{"$f":"Generic!BC59","v":32.412885774018093},{"$f":"Generic!AJ70","v":19.599048613987136},{"$f":"Generic!BR136","v":6.6151127567665089},13.500640616269107,1.4893229118394065,9.064951938189802,82.173353641691051,2.599944435316965E-2,135.88955432232981,{"$f":"(((($C$59 *( ($E$9/E105)*($D$7/$D$10))^2))) * 10000)","v":133.89348300634191},164.68955432232983]
[null,{"$f":"Generic!$BB$60","v":5.2273522175071969},{"$f":"Generic!BA60","v":5.7141183724922433},{"$f":"Generic!BC60","v":29.869709345545942},{"$f":"Generic!AJ69","v":19.622116674438139},{"$f":"Generic!BR131","v":7.2238917251109624},12.441354774707552,1.3638876043263413,9.1219795056738953,83.21051010193456,2.3808826552051014E-2,137.60469338991081,{"$f":"(((($C$59 *( ($E$9/E104)*($D$7/$D$10))^2))) * 10000)","v":135.93200640746954},166.40469338991082]
[null,{"$f":"Generic!$BB$61","v":5.2549665767625191},{"$f":"Generic!BA61","v":5.2326523508947247},{"$f":"Generic!BC61","v":27.497413211769601},{"$f":"Generic!AJ68","v":19.64959010903009},{"$f":"Generic!BR126","v":7.8886957146342978},11.453244127578685,1.2490058472478152,9.1698883178296668,84.086851761468992,2.180271812872802E-2,139.05389404037331,{"$f":"(((($C$59 *( ($E$9/E103)*($D$7/$D$10))^2))) * 10000)","v":137.69005309137995},167.85389404037332]
[null,{"$f":"Generic!$BB$62","v":5.2781595730188267},{"$f":"Generic!BA62","v":4.7917423825988079},{"$f":"Generic!BC62","v":25.291580928153937},{"$f":"Generic!AJ67","v":19.68230215762522},{"$f":"Generic!BR121","v":8.6146806245401777},10.534469133939249,1.1437922641081448,9.2101244819603192,84.826392973204833,1.9965593260828366E-2,140.27686865698666,{"$f":"(((($C$59 *( ($E$9/E102)*($D$7/$D$10))^2))) * 10000)","v":139.19982927402299},169.07686865698668]
[null,{"$f":"Generic!$BB$63","v":5.2976341053503999},{"$f":"Generic!BA63","v":4.387974988223716},{"$f":"Generic!BC63","v":23.245885951038478},{"$f":"Generic!AJ66","v":19.721240333886726},{"$f":"Generic!BR116","v":9.407476843752022},9.682394656859481,1.0474351637356458,9.2439083506873239,85.449841595906847,1.8283229117598818E-2,141.3078616945991,{"$f":"(((($C$59 *( ($E$9/E101)*($D$7/$D$10))^2))) * 10000)","v":140.49170436076051},170.10786169459911]
[null,{"$f":"Generic!$BB$64","v":5.313982821121888},{"$f":"Generic!BA64","v":4.0182233543620791},{"$f":"Generic!BC64","v":21.352769876510859},{"$f":"Generic!AJ65","v":19.76757363197585},{"$f":"Generic!BR111","v":10.273232917494763},8.8938724640108955,0.95919054561282291,9.2722686901888061,85.974966663055639,1.6742597309841997E-2,142.17625769130487,{"$f":"(((($C$59 *( ($E$9/E100)*($D$7/$D$10))^2))) * 10000)","v":141.5937031378725},170.97625769130488]
[null,{"$f":"Generic!$BB$65","v":5.3277049613864662},{"$f":"Generic!BA65","v":3.6796234070388811},{"$f":"Generic!BC65","v":19.60394788171482},{"$f":"Generic!AJ64","v":19.822683984550707},{"$f":"Generic!BR106","v":11.218663232447064},8.1654517544764804,0.87837656062607261,9.2960720043081118,86.416954709281029,1.5331764195995337E-2,142.90717052320971,{"$f":"(((($C$59 *( ($E$9/E99)*($D$7/$D$10))^2))) * 10000)","v":142.53124810900795},171.70717052320973]
[null,{"$f":"Generic!$BB$66","v":5.3392207683263297},{"$f":"Generic!BA66","v":3.3695518477693178},{"$f":"Generic!BC66","v":17.9907812055623},{"$f":"Generic!AJ63","v":19.888202417600958},{"$f":"Generic!BR101","v":12.251100090287014},7.4935343047091969,0.80436840035836288,9.3160475988000915,86.788742863108951,1.4039799365705491E-2,143.52199423779601,{"$f":"(((($C$59 *( ($E$9/E98)*($D$7/$D$10))^2))) * 10000)","v":143.32708648076505},172.32199423779602]
[null,{"$f":"Generic!$BB$67","v":5.3488837653748256},{"$f":"Generic!BA67","v":3.0856059992974063},{"$f":"Generic!BC67","v":16.504547835985061},{"$f":"Generic!AJ62","v":19.966050303676468},{"$f":"Generic!BR96","v":13.37855057348863},6.8744872153984078,0.73659358766075445,9.3328089336619655,87.101322592240592,1.2856691663739194E-2,144.0389053555667,{"$f":"(((($C$59 *( ($E$9/E97)*($D$7/$D$10))^2))) * 10000)","v":144.00134606213592},172.83890535556671]
[null,{"$f":"Generic!$BB$68","v":5.3569911948691535},{"$f":"Generic!BA68","v":2.8255853180892716},{"$f":"Generic!BC68","v":15.136635669355785},{"$f":"Generic!AJ61","v":20.058486024657874},{"$f":"Generic!BR91","v":14.609758644392867},6.3047233663835378,0.67452764149319211,9.3468717641086769,87.364011774692045,1.1773272158705298E-2,144.47331279236522,{"$f":"(((($C$59 *( ($E$9/E96)*($D$7/$D$10))^2))) * 10000)","v":144.57167530093062},173.27331279236523]
[null,{"$f":"Generic!$BB$69","v":5.3637928693325847},{"$f":"Generic!BA69","v":2.5874744404766337},{"$f":"Generic!BC69","v":13.878676953408887},{"$f":"Generic!AJ60","v":20.168157202883862},{"$f":"Generic!BR86","v":15.954272959163584},5.7807574149249339,0.61769008972832651,9.3586695189936364,87.584695165740584,1.0781143501985974E-2,144.83825551804108,{"$f":"(((($C$59 *( ($E$9/E95)*($D$7/$D$10))^2))) * 10000)","v":145.05343315812237},173.63825551804109]
[null,{"$f":"Generic!$BB$70","v":5.3694986633236557},{"$f":"Generic!BA70","v":2.3694276388557181},{"$f":"Generic!BC70","v":12.722638539677904},{"$f":"Generic!AJ59","v":20.298158428599116},{"$f":"Generic!BR81","v":17.422520922560807},5.2992433877199119,0.5656408046186987,9.3685663135497421,87.770034771379002,9.8726151618988255E-3,145.14475044969865,{"$f":"(((($C$59 *( ($E$9/E94)*($D$7/$D$10))^2))) * 10000)","v":145.45990366347363},173.94475044969866]
[null,{"$f":"Generic!$BB$71","v":5.3742848447572502},{"$f":"Generic!BA71","v":2.1697545734512258},{"$f":"Generic!BC71","v":11.660879120941654},{"$f":"Generic!AJ58","v":20.45209408703629},{"$f":"Generic!BR76","v":19.025889557864417},4.8569985214887401,0.51797663682863382,9.3768679437478539,87.925652434486111,9.0406440560467736E-3,145.40209439329033,{"$f":"(((($C$59 *( ($E$9/E93)*($D$7/$D$10))^2))) * 10000)","v":145.80251749275234},174.20209439329034]
[null,{"$f":"Generic!$BB$72","v":5.3782994185634676},{"$f":"Generic!BA72","v":1.9869072337964564},{"$f":"Generic!BC72","v":10.686182020267029},{"$f":"Generic!AJ57","v":20.634145459906648},{"$f":"Generic!BR71","v":20.776813819136393},4.4510169202924734,0.4743283252470375,9.3838311637288694,88.056287309369111,8.2787801408185681E-3,145.6181244582699,{"$f":"(((($C$59 *( ($E$9/E92)*($D$7/$D$10))^2))) * 10000)","v":146.09106877166872},174.41812445826992]
[null,{"$f":"Generic!$BB$73","v":5.381666631925528},{"$f":"Generic!BA73","v":1.8194679722275371},{"$f":"Generic!BC73","v":9.7917700739941402},{"$f":"Generic!AJ56","v":20.849140744885855},{"$f":"Generic!BR66","v":22.688873030728921},4.078475754605603,0.43435766116683094,9.3896715063099006,88.165930996408036,7.5811165509480716E-3,145.79944152889772,{"$f":"(((($C$59 *( ($E$9/E91)*($D$7/$D$10))^2))) * 10000)","v":146.33391972391962},174.59944152889773]
[null,{"$f":"Generic!$BB$74","v":5.3844907692635839},{"$f":"Generic!BA74","v":1.6661385393294865},{"$f":"Generic!BC74","v":8.9713075853339301},{"$f":"Generic!AJ55","v":21.102626023267618},{"$f":"Generic!BR61","v":24.776896201976729},3.7367360750300702,0.39775488679823323,9.3945698696734858,88.257943036176897,6.9422439138728609E-3,145.95160125613728,{"$f":"(((($C$59 *( ($E$9/E90)*($D$7/$D$10))^2))) * 10000)","v":146.53818898467901},174.75160125613729]
[null,{"$f":"Generic!$BB$75","v":5.3868593465675056},{"$f":"Generic!BA75","v":1.5257300384055985},{"$f":"Generic!BC75","v":8.2188931177239972},{"$f":"Generic!AJ54","v":21.400934559032695},{"$f":"Generic!BR56","v":27.057077033843598},3.4233398105781783,0.36423630944608004,9.3986780609113172,88.335149292655714,6.3572084933566607E-3,146.07927675334955,{"$f":"(((($C$59 *( ($E$9/E89)*($D$7/$D$10))^2))) * 10000)","v":146.70992164694565},174.87927675334956]
[null,"AR","Dip","Blow","Shank Input","Cos Ang. ∆","Shank Ang","Key Ang","Shk/Key RO","Squared","Key Tan","Inertia"]
["Average >>",{"$f":"AVERAGE(B89:B109)","v":5.2773879554264642},4.2175261859720123,22.000626393681436,20.04351420519378,12.881883012770453,9.16371816890147,1.0066654158637571,9.2087279516014835,84.845724670439878,null,{"$f":"AVERAGE(L89:L109)","v":140.30883736223169},{"$f":"AVERAGE(M89:M109)","v":139.6978251048447},169.1088373622317]
[]
[]
[null,"Touchweight Perspective",null,null,null,null,"Isw = Iham*(Wo/Si * Ko/Wi)^2"]
[null,50,"Grams DW",null,null,null,null,"Ik = Isw*Rθ^2"]
[null,245,"Front Key Input"]
[null,42,"Touch Distance (mm) In From Very Front of Key"]
[null,{"$f":"(B115*B116)/(B116-B117)","v":60.344827586206897},"Touch Weight Felt by Pianist"]
[null,"FYI ONLY. Numbers have no bearing on your action evaluation above."]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2]
[null,null,null,{"$f":"COS(RADIANS(C130))","v":0.99744299801078817},null,null,null,null,"Cos Angles Changing per Stroke",null,null,null,null,null,null,null,null,{"$f":"(E9*Q144)/19.96","v":17.523592201854431},3]
[null,null,"Angle A",null,{"$f":"G128","v":19.537539455580013},{"$f":"((E130^2+E131^2)-(2*E130*E131*C132))","v":381.71544797834576},{"$f":"SQRT(F128)","v":19.537539455580013},{"$f":"H159","v":21.400934559032695},"cosA = (b2 + c2 - a2) / (2bc)",null,null,null,null,null,null,null,null,null,4]
[null,{"$f":" (E130^2 +E131^ 2 - E129^2) / (2*E130*E131)","v":0.99628228346143466},{"$f":"DEGREES(ACOS(B129))","v":4.9420872389233885},"a",{"$f":"K13","v":21.400934559032695},null,"a 2 = b 2 + c 2 - 2 b c cos(A)",null,"a2-b2-c2",{"$f":"C131","v":0.84386271728307349},"A",null,null,null,null,null,null,null,5]
["W Rot Degs",{"$f":"J143","v":3.7350280690358995},{"$f":"C149","v":4.098224521640315},"b",{"$f":"E9","v":93.521213902840955},null,null,null,null,null,null,null,null,null,null,null,null,null,6]
[null,"Cos angle change deg.",{"$f":"C129-C130","v":0.84386271728307349},"c",{"$f":"C17","v":113},null,null,null,{"$f":"(G128^2 - E130^2 + E131^2) / (2*G128*E131)","v":0.99751195586932828},{"$f":"DEGREES(ACOS(I131))","v":4.0425626231570266},"B",null,null,null,null,null,null,null,7]
[null,null,{"$f":"COS(RADIANS(C131))","v":0.99989154227551735},null,null,{"$f":"((E129^2+E131^2)-2*E129*E131*B134)","v":8746.2174498609329},{"$f":"SQRT(F132)","v":93.521213902840955},null,"cosB = (a2 - b2 + c2) / 2ac",null,null,{"$f":"J129+J131+J134","v":180.0000000000004},null,null,null,null,null,null,{"$f":"D49","v":7.9641907097679976}]
[null,null,"Angle B",null,null,null,"b 2 = a 2 + c 2 - 2 a c cos(B)",null,null,null,null,null,null,null,null,null,null,null,9]
[null,{"$f":"(E129^2 - E130^2 + E131^2) / (2*E129*E131)","v":0.92643017089289548},{"$f":"DEGREES(ACOS(B134))","v":22.114989794920287},{"$f":"C129+C134+C137","v":180.00000000000009},null,null,null,null,{"$f":"(G128^2+E130^2-E131^2)/(2*G128*E130)","v":-0.9963655054184819},{"$f":"DEGREES(ACOS(I134))","v":175.1135746595603},"C",{"$f":"L132-J134","v":4.8864253404400984},"Cosine Angle"]
[null,{"$f":"B134*E129","v":19.826471460792334},null,null,null,null,null,null,"cosC = (a2 + b2 - c2) / 2ab",null,null,{"$f":"COS(RADIANS(L134))","v":0.99636550541848135}]
[null,null,"Angle C",null,null,{"$f":"(E130^2 + E129^2) - (2*(E130 * E129 * B137))","v":12769},{"$f":"SQRT(F136)","v":113},null,null,null,null,{"$f":"1/L135","v":1.0036477523175515}]
[null,{"$f":"(E129^2 + E130^2 - E131^2) / (2*E129*E130)","v":-0.89055382491495294},{"$f":"DEGREES(ACOS(B137))","v":152.9429229661564},null,null,null,"c 2 = b 2 + a 2 - 2 b a cos(C)",null,null,null,null,{"$f":"C47*L136","v":4.9470380407189927}]
[null,{"$f":"COS(RADIANS(C138))","v":0.8905538249149525},{"$f":"D134-C137","v":27.057077033843683},"Cosine Ang"]
[null,{"$f":"1/B138","v":1.122896754831747}]
[null,{"$f":"C47","v":4.9290580577654328},{"$f":"B140*B139","v":5.5348232974420783}]
[null,null,null,null,null,null,null,"Rotational RO shk ang to key ang --->>",null,null,{"$f":"J145/E144","v":8.6029696943534795},null,null,null,null,null,"Ki / Dip"]
[null,null,null,null,"θ Key","θKey*Ki/So",null,null,null,null,null,null,null,null,null,null,{"$f":"S132/D8","v":3.3184127957366659E-2}]
[null,"Thus Shk_ang = (AR * K_ang * Ki / So)",null,null,{"$f":"D47/D8","v":3.6349068030229512E-2},{"$f":"E144*(D8/D11)","v":3.6317675887908645},null,"θw = (θsk * Si) / Wo =",null,{"$f":"(C148 * G128) /E9","v":3.7350280690358995},null,null,1,null,"Key ang",{"$f":"$E$144","v":2.0817316775544539},{"$f":"DEGREES(ATAN(Q142))","v":1.9006130404792538}]
[null,null,null,null,{"$f":"DEGREES(ATAN(E143))","v":2.0817316775544539},{"$f":"F143*C47","v":17.901193297460946},{"$f":"F144/E144","v":8.5991837903387456}," θw = (Ko * θkey) / Wi =",null,{"$f":"(D7 * E144) / D10","v":4.0964210182896146},null,null,2,null,"Whip ang",{"$f":"$J$144","v":4.0964210182896146},{"$f":"(D7*Q143) / D10","v":3.7400166844753628}]
[null,"cap rise mm",{"$f":"D24*D47","v":4.7393386345909381},null,null,"θShank",null," θs =(Wo * θw) / SiDar =",null,{"$f":"(E130*J148)/E129","v":17.909074533776597},"angle",null,3,null,"Shk ang",{"$f":"$F$144","v":17.901193297460946},{"$f":"19.49","v":19.489999999999998}]
[null,"whip tan change per WiDar",{"$f":"C145/D10","v":7.1527511388593104E-2},null,null,null,null,"shk_o dar x θs_rads = mm",null,{"$f":"D11*RADIANS(J145)","v":43},"mm",null,4,null,"Whip rat",{"$f":"$P$144/$P$143","v":1.9677949192289508},{"$f":"$Q$144/$Q$143","v":1.9677949192289503}]
[null,"whip angle change",{"$f":"DEGREES(ATAN(C146))","v":4.0912568065861681},"degrees",{"$f":"J143","v":3.7350280690358995},null,null,"Pfeiffer θ =",null,null,null,null,5,null,"AR",{"$f":"$P$145/$P$144","v":4.3699593419563261},{"$f":"$R$127/$Q$144","v":4.6854315582585651}]
[null,"Shnk Degrees per end stroke",{"$f":"(E130*C147)/E129","v":17.878625902283638},"θs = (Wo * θw) / SiDar",null,null,null,"profile_rise * 360 / 2π*r",null,{"$f":"(C145*360) / (2*PI()*D10)","v":4.098224521640315},"degrees",{"$f":"(K149*360) / (2*PI()*G128)","v":19.617154605449965},6,null,"Dip",{"$f":"$E$56/$P$147","v":9.8399084831644981},{"$f":"$E$56/$Q$147","v":9.1773830148490774}]
[null,null,{"$f":"J148","v":4.098224521640315},null,null,null,null,"cap rise x whip Ro x shk Ro",null,{"$f":"K149*D26","v":43},{"$f":"C145*D25","v":6.6893396925105071},null,7,null,null,null,{"$f":"Q145/Q146","v":9.9044874084931838}]
[null,"Whip_Rot * KeyRO = Key_Rot",{"$f":"C147*D24","v":2.2226442678165208},{"$f":"C148/C150","v":8.0438539631207941},null,null,null,null,null,{"$f":"J148/D10","v":6.1851626090850181E-2},null,null,8,null,null,null,{"$f":"Q146*Q149","v":19.489999999999998}]
[null,null,null,null,null,null,null,null,null,{"$f":"DEGREES(ATAN(J150))","v":3.5393283468109931},null,null,9]
[null,"Action Rat = (Shk_ang * So) / (Key_ang * Ki)",null,null,{"$f":"(F144*C11) / (E144*D8)","v":4.657891219766821},null,null,"Si = [So(Z)]  * (D / B - Lo)",null,null,{"$f":"(D11*K153)*(D49/E56)","v":19.53753945558001},null,10]
["Go Top","capstanrise  @ 6mm =",{"$f":"6*D24","v":3.2596012026013241},"mm",{"$f":"(F144*C11) / (E144*D8)","v":4.657891219766821},null,null,"Z = (KeyRAT * WhipRAT)",null,null,{"$f":"D24*D25","v":0.76679403982555949},null,8.3699999999999992]
[null,"Whip rise tan",{"$f":"C153/C10","v":5.2153619241621187E-2},"tan",{"$f":"6/D8","v":2.5000000000000001E-2},{"$f":"DEGREES(ATAN(E154))","v":1.4320961841646465},null,null,null,null,null,null,9.2899999999999991]
[null,"Whip degrees",{"$f":"DEGREES(ATAN(C154))","v":2.985477396601286},"degrees",{"$f":"(D7*F154) / C10","v":2.9875599642520632},null,null,null,"B"]
[null,"WhipRot degrees",{"$f":"B165-C155","v":1.9566098423221026},null,{"$f":"B165-E155","v":1.9545272746713254},null,null,null,{"$f":"C134","v":22.114989794920287}]
["     ","WhipRotCos  ",{"$f":"COS(RADIANS(C156))","v":0.99941696986652229},null,{"$f":"COS(RADIANS(E156))","v":0.99941821021173682},null,null,null,{"$f":"J131","v":4.0425626231570266},"Δ Angle"]
[null," SI = (b ^ 2 + c ^ 2) - (2 * b * c * WhipRotCosA)",null,null,null,null,null,null,null,null,null,null,null,null,1.25]
[null,{"$f":"(F164^2 + E162^2) - (2  * F164 * E162 * C157)","v":391.74591281527319},{"$f":"SQRT(B159)","v":19.792572162689549},{"$f":"D24*D25*(D11/C159)","v":5.3295977938006729},null,null,null,{"$f":"K13","v":21.400934559032695},{"$f":"E162-F164","v":19.478786097159045},"is Spread Segment",null,null,null,null,1.113]
[null,null,null,null,null,null,null,"a",{"$f":"G128","v":19.537539455580013},"Use this for Knuckle",null,null,null,null,{"$f":"O165-0.05","v":0.99999999999999978}]
[]
[null,null,null,"c",{"$f":"C17","v":113},null,null,{"$f":"C137","v":152.9429229661564},{"$f":"180-H162","v":27.057077033843598},{"$f":"L134","v":4.8864253404400984},"Δ Cosine Angle",null,null,null,{"$f":"O158-0.05","v":1.2}]
[null,null,null,null,null,null,null,"C",{"$f":"COS(RADIANS(I162))","v":0.89055382491495316},{"$f":"J134","v":175.1135746595603},"Δ Angle (flattening out)",null,null,null,{"$f":"O162-0.05","v":1.1499999999999999}]
[null,"A",null,null,null,{"$f":"E9","v":93.521213902840955},null,null,"cosine",{"$f":"COS(RADIANS(J162))","v":0.99636550541848135},{"$f":"1/J164","v":1.0036477523175515},null,null,null,{"$f":"O163-0.05","v":1.0999999999999999}]
[null,{"$f":"C129","v":4.9420872389233885},null,null,null,"b",null,null,null,"Δ cosine",null,null,null,null,{"$f":"O164-0.05","v":1.0499999999999998}]
[null,{"$f":"J129","v":0.84386271728307349},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"O160-0.05","v":0.94999999999999973}]
[null,"Δ Angle",null,null,null,null,null,null,{"$f":"F164+F18","v":113.57969992749884},null,null,null,null,null,{"$f":"O166-0.05","v":0.89999999999999969}]
[null,{"$f":"COS(RADIANS(B166))","v":0.99989154227551735},null,null,null,null,null,null,{"$f":"F164+H159","v":114.92214846187365},null,null,null,null,null,{"$f":"O167-0.05","v":0.84999999999999964}]
[null,null,null,null,null,"Δ PROOF",{"$f":"I157+B166+J163","v":180.0000000000004},"b + a",{"$f":"F164+I159","v":113},null,null,null,null,null,{"$f":"O168-0.05","v":0.7999999999999996}]
[null,null,null,null,null,null,null,"LIMIT",{"$f":"E162","v":113},null,null,null,null,null,{"$f":"O169-0.05","v":0.74999999999999956}]
[null,null,null,null,null,null,null,"Cos out",{"$f":"F164+I160","v":113.05875335842097},null,null,null,null,null,{"$f":"O170-0.05","v":0.69999999999999951}]
[]
[]
[]
[null,null,null,null,null,null,null,null,{"$f":"J178-I183","v":33.362794008251527},"angle"]
[]
[null,null,null,null,null,null,null,{"$f":"H194","v":17}]
[null,null,null,null,null,null,null,null,null,{"$f":"J194","v":37.405356631408551},"angle"]
[null,null,null,{"$f":"C134","v":22.114989794920287},"CosAng"]
[null,null,null,{"$f":"C148","v":17.878625902283638},"shank ang.",null,null,{"$f":"H197","v":21.400934559032695}]
[null,null,null,{"$f":"D179-D180","v":4.2363638926366498},"diff"]
[null,null,null,{"$f":"I191","v":15.290366836488325}]
[null,null,null,{"$f":"D180","v":17.878625902283638},null,null,null,null,{"$f":"I157","v":4.0425626231570266},"angle"]
[null,null,null,{"$f":"D181","v":4.2363638926366498}]
[null,null,null,{"$f":"SUM(D182:D184)","v":37.405356631408608}]
[]
[null,null,null,null,null,null,null,null,{"$f":"I175-I191","v":18.072427171763202}]
[null,null,null,null,null,null,null,null,{"$f":"I201-I183","v":18.072427171763259}]
[]
[]
[null,null,null,null,null,null,null,null,{"$f":"Generic!E47","v":15.290366836488325},"angle"]
[]
[]
[null,null,null,null,null,null,null,{"$f":"C12","v":17},null,{"$f":"Generic!K56","v":37.405356631408551},"angle"]
[]
[]
[null,null,null,null,null,null,null,{"$f":"K13","v":21.400934559032695}]
[]
[]
[]
[null,null,null,null,null,null,null,null,{"$f":"C134","v":22.114989794920287},"angle"]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,"Involute pressure angle A (deg) ="]
[null,null,null,null,null,null,null,null,null,"T*pi/180=tan(A)-A*pi/180"]
[null,null,null,null,null,null,null,null,null,"T = (180 * tanA - piA) / pi"]
[]
[null,null,null,null,null,null,null,null,null,{"$f":"J194","v":37.405356631408551},null,{"$f":"(180*J213 - 3.1416*J212)/3.1416","v":6.4089605393099989}]
[null,null,null,null,null,null,null,null,null,{"$f":"TAN(RADIANS(J212))","v":0.76470588235294112}]
[null,null,null,null,null,null,null,null,null,{"$f":"I201","v":22.114989794920287},null,{"$f":"(180*J215 - 3.1416*J214)/3.1416","v":1.1678224476945611}]
[null,null,null,null,null,null,null,null,null,{"$f":"TAN(RADIANS(J214))","v":0.40636268300777112},null,"`"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"AR = Outs/Ins = B/Dip",{"$f":"(D7*D9*D11)/(D8*D10*K13)","v":4.9290580577654337},{"$f":"(D7*D9*D11)/(D8*D10*F16)","v":5.3991675447024337}]
[null,null,{"$f":"E56/D47","v":4.9290580577654328},{"$f":"E56/D49","v":5.3991675447024319}]

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[null,null,null,null,null,null,null,null,null,null,null,null,"Note","Max FW","FW","SW","Ham Wt","Ham Wt","Diff","% chng",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x                  f(x)               "]
[null,"R = (Ko * Wo * So) / (Ki * Wi * Si)",null,null,null,{"$f":"(I6*I7*I8) / (I9*I10*I11)","v":4.9290580577654337},null,"Given",null,null,null,null,"A     1",38.299999999999997,{"$f":"(P5*$C$20) + ($C$23*$C$22) - $C$24","v":41.3},{"$f":"'Key Leads'!H146","v":12.348453177257523},{"$f":"P5-1.6","v":10.748453177257524},8.3840294599018019,{"$f":"Q5-R5","v":2.3644237173557219},{"$f":"((Q5/R5) - 1)*100","v":28.201519670989029},41.3,{"$f":"U5-P5","v":28.951546822742472},null,null,null,null,null,null,null,null,null,null,null,null,"1                  41.3               "]
[null,"K = (Rkws) / (WS)",null,null,null,{"$f":"(F5*I9*I10*I11) / (I7*I8)","v":130.38404810405297},null,"K",{"$f":"'Simple AR Calculator'!D7","v":130.38404810405297},127.1,null,null,"A#   2",38.1,{"$f":"(P6*$C$20) + ($C$23*$C$22) - $C$24","v":41.099999999999994},{"$f":"'Key Leads'!H147","v":12.31350060310324},{"$f":"P6-1.6","v":10.71350060310324},8.3541963993453372,{"$f":"Q6-R6","v":2.3593042037579028},{"$f":"((Q6/R6) - 1)*100","v":28.240947315325094},41.1,{"$f":"U6-P6","v":28.786499396896762},null,null,null,null,null,null,null,null,null,null,null,null,"2                  41.1307211         ",null,null,null,"f(x)=-0.003057*x^2-0.1601079*x+41.4631649"]
[null,"W = (Rkws) / (KS)",null,null,null,{"$f":"(F5*I9*I10*I11) / (I6*I8)","v":93.521213902840969},null,"W",{"$f":"'Simple AR Calculator'!E9","v":93.521213902840955},94,"`",null,"B     3",37.799999999999997,40.799999999999997,{"$f":"'Key Leads'!H148","v":12.261071741871813},10.661071741871814,8.309446808510641,2.3516249333611725,28.30061961468493,40.799999999999997,28.538928258128184,null,null,null,null,null,null,null,null,null,null,null,null,"3                  40.9553282         "]
[null,"S = (Rkws) / (KW)",null,null,null,{"$f":"(F5*I9*I10*I11) / (I6*I7)","v":137.56816492197603},null,"S",{"$f":"'Simple AR Calculator'!D11","v":137.56816492197603},137.6,null,null,"C     4",37.6,40.599999999999994,{"$f":"'Key Leads'!H149","v":12.226119167717528},10.626119167717528,8.2796137479541745,2.3465054197633535,28.340759499114988,40.6,28.373880832282474,null,null,null,null,null,null,null,null,null,null,null,null,"4                  40.7738213         "]
[null,"k = (KWS) / (wsR)",null,null,null,{"$f":"(I6*I7*I8) / (I10*I11*F5)","v":240.00000000000003},null,"k",{"$f":"'Simple AR Calculator'!C8","v":240},240,null,null,"C#   5",37.299999999999997,40.299999999999997,{"$f":"'Key Leads'!H150","v":12.173690306486101},10.573690306486101,8.2348641571194783,2.3388261493666231,28.401514642407101,40.299999999999997,28.126309693513896,null,null,null,null,null,null,null,null,null,null,null,null,"5                  40.5862004         "]
[null,"w = (KWS) / (ksR)",null,null,null,{"$f":"(I6*I7*I8) / (I9*I11*F5)","v":66.258961658027829},null,"w",{"$f":"'Simple AR Calculator'!D10","v":66.258961658027815},65.8,null,null,"D     6",37.1,40.099999999999994,{"$f":"'Key Leads'!H151","v":12.138737732331816},10.538737732331816,8.2050310965630135,2.3337066357688023,28.442386242099225,40.1,27.961262267668186,null,null,null,null,null,null,null,null,null,null,null,null,"6                  40.3924655         "]
[null,"s = (KWS) / (kwR)",null,null,null,{"$f":" (I6*I7*I8) / (I9*I10*F5)","v":21.400934559032699},null,"s",{"$f":"'Simple AR Calculator'!K13","v":21.400934559032695},21.4,null,null,"D#   7",36.799999999999997,39.799999999999997,{"$f":"'Key Leads'!H152","v":12.086308871100389},10.486308871100389,8.1602815057283156,2.3260273653720738,28.504253973827499,39.799999999999997,27.713691128899608,null,null,null,null,null,null,null,null,null,null,null,null,"7                  40.1926166         "]
[null,null,null,null,null,null,null,null,null,null,null,null,"E     8",36.5,39.5,{"$f":"'Key Leads'!H153","v":12.033880009868962},10.433880009868963,8.1155319148936194,2.3183480949753434,28.566803991254265,39.5,27.466119990131038,null,null,null,null,null,null,null,null,null,null,null,null,"8                  39.9866537         "]
[null,"Key Ratio",null,null,null,{"$f":"I9/I6","v":1.8407159732336891},null,null,null,null,null,null,"F     9",36.299999999999997,39.299999999999997,{"$f":"'Key Leads'!H154","v":11.998927435714677},10.398927435714677,8.0856988543371546,2.3132285813775226,28.608888644631026,39.299999999999997,27.30107256428532,null,null,null,null,null,null,null,null,null,null,null,null,"9                  39.7745768         "]
[null,null,null,null,null,null,null,null,null,null,null,null,"F#   10",36,39,{"$f":"'Key Leads'!H155","v":11.94649857448325},10.346498574483251,8.0409492635024566,2.3055493109807941,28.672601149787003,39,27.05350142551675,null,null,null,null,null,null,null,null,null,null,null,null,"10                 39.5563859         "]
[null,"Outs (O) = ",null,{"$f":"(I6*I7*I8)","v":1677461.4180530377},null,null,"Blow =",43.5,null,"Blow = ",{"$f":"(D15*H16) / D16","v":43.129258005447547},null,"G    11",35.799999999999997,38.799999999999997,{"$f":"'Key Leads'!H156","v":11.911546000328965},10.311546000328965,8.0111162029459919,2.3004297973829733,28.715471591050168,38.799999999999997,26.888453999671032,null,null,null,null,null,null,null,null,null,null,null,null,"11                 39.332081          "]
[null,"Ins (I) = ",null,{"$f":"(I9*I10*I11)","v":340320.88857429835},null,null,"Dip =",8.75,null,"Blow + LO",{"$f":"K15+2","v":45.129258005447547},null,"G#  12",35.5,38.5,{"$f":"'Key Leads'!H157","v":11.859117139097538},10.259117139097539,7.9663666121112957,2.2927505269862429,28.780379294879133,38.5,26.640882860902462,null,null,null,null,null,null,null,null,null,null,null,null,"12                 39.1016621         "]
[null,"AR =",null,{"$f":"D15/D16","v":4.9290580577654337},null,null,null,{"$f":"H15/H16","v":4.9714285714285715},null,null,null,null,"A     13",36.299999999999997,38.299999999999997,{"$f":"'Key Leads'!H158","v":11.824164564943253},10.224164564943253,8.0856988543371546,2.1384657106060985,26.447506259264507,38.299999999999997,26.475835435056744,null,null,null,null,null,null,null,null,null,null,null,null,"13                 38.8651292         "]
[null,"Inverse",null,{"$f":"1/D17","v":0.20287851923849026},null,null,"% =",{"$f":"((D17/H17) - 1)*100","v":-0.85228044724702245},null,null,null,null,"A#   14",36,38,{"$f":"'Key Leads'!H159","v":11.771735703711826},10.171735703711827,8.0409492635024566,2.1307864402093699,26.499190212291523,38,26.228264296288174,null,null,null,null,null,null,null,null,null,null,null,null,"14                 38.6224823         "]
[null,null,null,null,null,null,null,null,null,null,null,null,"B    15",35.799999999999997,37.799999999999997,{"$f":"'Key Leads'!H160","v":11.736783129557541},10.136783129557541,8.0111162029459919,2.1256669266115491,26.53396696242978,37.799999999999997,26.063216870442456,null,null,null,null,null,null,null,null,null,null,null,null,"15                 38.3737214         "]
[null,"MAR",{"$f":"'Simple AR Calculator'!H7","v":5.7220392156862747},null,null,null,null,null,null,null,null,null,"C    16",35.5,37.5,{"$f":"'Key Leads'!H161","v":11.684354268326114},10.084354268326114,7.9663666121112957,2.1179876562148188,26.586620467539547,37.5,25.815645731673886,null,null,null,null,null,null,null,null,null,null,null,null,"16                 38.1188465         "]
[null,"DAR",{"$f":"'Simple AR Calculator'!H8","v":4.9290580577654328},null,null,null,null,null,null,null,null,null,"C#  17",35.200000000000003,37.200000000000003,{"$f":"'Key Leads'!H162","v":11.631925407094688},10.031925407094688,7.9216170212765977,2.1103083858180902,26.639868856952219,37.200000000000003,25.568074592905315,null,null,null,null,null,null,null,null,null,null,null,null,"17                 37.8578576         "]
[null,"Kro",{"$f":"'Simple AR Calculator'!C24","v":0.5083333333333333},null,null,null,null,null,null,null,null,null,"D    18",35,37,{"$f":"'Key Leads'!H163","v":11.596972832940402},9.9969728329404024,7.891783960720133,2.1051888722202694,26.675703271889482,37,25.403027167059598,null,null,null,null,null,null,null,null,null,null,null,null,"18                 37.5907547         "]
[null,"WrW",{"$f":"'Simple AR Calculator'!F6","v":17},null,null,null,null,null,null,null,null,null,"D#  19",34.700000000000003,36.700000000000003,{"$f":"'Key Leads'!H164","v":11.544543971708976},9.9445439717089759,7.8470343698854368,2.0975096018235391,26.72996578010607,36.700000000000003,25.155456028291027,null,null,null,null,null,null,null,null,null,null,null,null,"19                 37.3175378         "]
[null,"BW ",{"$f":"'Key Leads'!P75","v":38},null,null,null,null,null,null,null,null,null,"E     20",34.4,36.400000000000006,{"$f":"'Key Leads'!H165","v":11.492115110477549},9.8921151104775493,7.8022847790507388,2.0898303314268105,26.784850727802699,36.4,24.90788488952245,null,null,null,null,null,null,null,null,null,null,null,null,"20                 37.0382069         "]
[null,null,null,null,null,null,null,null,null,null,null,null,"F     21",34.1,36.099999999999994,{"$f":"'Key Leads'!H166","v":11.439686249246119},9.8396862492461192,7.7575351882160408,2.0821510610300784,26.840368886665654,36.1,24.660313750753883,null,null,null,null,null,null,null,null,null,null,null,null,"21                 36.752762          "]
[null,null,null,null,null,null,null,null,null,null,null,null,"F#   22",33.799999999999997,35.799999999999997,{"$f":"'Key Leads'!H167","v":11.387257388014692},9.7872573880146927,7.7127855973813446,2.0744717906333481,26.896531278370752,35.799999999999997,24.412742611985305,null,null,null,null,null,null,null,null,null,null,null,null,"22                 36.4612031         "]
[null,null,null,null,null,null,null,null,null,null,null,null,"G    23",33.5,35.5,{"$f":"'Key Leads'!H168","v":11.334828526783266},9.7348285267832662,7.6680360065466466,2.0667925202366195,26.953349181877595,35.5,24.165171473216734,null,null,null,null,null,null,null,null,null,null,null,null,"23                 36.1635302         "]
[null,null,null,null,null,null,null,null,null,null,null,null,"G#  24",33.200000000000003,35.200000000000003,{"$f":"'Key Leads'!H169","v":11.282399665551839},9.6823996655518396,7.6232864157119504,2.0591132498398892,27.010834140980975,35.200000000000003,23.917600334448164,null,null,null,null,null,null,null,null,null,null,null,null,"24                 35.8597433         "]
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{"sheet":"BF","index":12,"n_rows":96,"n_cols":23,"rows_kept":96,"cut":false,"hidden":true,"merged":[]}
[]
[null,"PTW = BF + FW",null,null,"MAR =",{"$f":"1/ F3","v":0.17476287077142386},null,"TW = ",55,{"$f":"Compare!L24","v":50},null,null,null,null,"WWR =",16,"Kro =",{"$f":"'Simple AR Calculator'!C24","v":0.5083333333333333},18]
[null,"DF = FW + BF",null,null,null,{"$f":"'Simple AR Calculator'!H7","v":5.7220392156862747},null,"F = ",12,null,null,null,null,null,"ewrw",{"$f":"P2*R2","v":8.1333333333333329},null,null,{"$f":"Archives!D4","v":"Standard Action"}]
[null,"BF = (TW - F - W)  ",null,{"$f":"J2-I3-I5","v":30},null,{"$f":"I2*F2","v":9.6119578924283129},null,"Wwt",{"$f":"P3","v":8.1333333333333329},null,null,null,null,null,"SW = (((BW + FW) - (WW * KR)) / AR) "]
[null,"BW = ",{"$f":"J2-I3","v":38},null,null,null,null,null,8,null,null,null,null,null,"FW = (SW * AR) + (WW * KR) - BW"]
[null,null,30,null,null,"SIMPLE",null,null,"POLYNOMIAL"]
["Note","FW","PTW","DF ","DF alt","Simple","HamMax","DF","FW","SW","50df","FW ng","SW ng",null,"Stanwood",null,"NG FWmx"]
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[19,36.700000000000003,18.299999999999997,66.7,66.699999999999989,11.656683480453971,10.056683480453971,66.984799999999993,36.984799999999993,11.706455946049672,66.984800000000007,36.984800000000007,11.706455946049674,66.699999999999989,11.455706179066837,35.683333333333337,37]
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[22,35.799999999999997,19.200000000000003,65.8,65.8,11.49939689675969,9.8993968967596899,66.171199999999999,36.171199999999999,11.564268874390043,66.171199999999999,36.171199999999999,11.564268874390043,65.8,11.298419595372554,34.783333333333331,36.200000000000003]
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[28,34,21,64,64,11.184823729371127,9.5848237293711271,64.371200000000002,34.371200000000002,11.24969570700148,64.371200000000002,34.371200000000002,11.24969570700148,64,10.983846427983989,32.98333333333332,34.4]
[29,33.700000000000003,21.299999999999997,63.7,63.7,11.1323948681397,9.5323948681397006,64.0488,34.0488,11.193352157464773,64.0488,34.0488,11.193352157464773,63.7,10.931417566752563,32.683333333333337,34]
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[32,32.700000000000003,22.299999999999997,62.7,62.699999999999996,10.957631997368276,9.3576319973682764,63.043199999999999,33.043199999999999,11.017610614617029,63.043199999999999,33.043199999999999,11.017610614617029,62.699999999999996,10.75665469598114,31.683333333333337,33]
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[35,31.7,23.3,61.7,61.699999999999996,10.782869126596852,9.1828691265968523,61.98,31.979999999999997,10.83180273041285,61.98,31.979999999999997,10.83180273041285,61.699999999999996,10.581891825209716,30.683333333333337,32]
[36,31.4,23.6,61.4,61.4,10.730440265365425,9.1304402653654257,61.612799999999993,31.612799999999993,10.767629804265583,61.6128,31.6128,10.767629804265585,61.4,10.52946296397829,30.38333333333334,31.6]
[37,31,24,61,61,10.660535117056856,9.0605351170568564,61.239199999999997,31.239199999999997,10.702338395745381,61.239200000000004,31.239200000000004,10.702338395745381,61,10.459557815669719,29.983333333333334,31.2]
[38,30.7,24.3,60.7,60.699999999999996,10.608106255825428,9.0081062558254281,60.859200000000001,30.859200000000001,10.63592850485224,60.859199999999994,30.859199999999994,10.635928504852238,60.699999999999996,10.407128954438292,29.683333333333337,30.9]
[39,30.4,24.6,60.4,60.4,10.555677394594001,8.9556773945940016,60.472799999999992,30.472799999999992,10.568400131586159,60.472799999999999,30.472799999999999,10.568400131586161,60.4,10.354700093206866,29.38333333333334,30.5]
[40,30,25,60,60,10.485772246285432,8.8857722462854323,60.08,30.08,10.499753275947146,60.079999999999991,30.079999999999991,10.499753275947144,60,10.284794944898294,28.983333333333334,30.1]
[41,29.6,25.4,59.6,59.6,10.415867097976863,8.815867097976863,59.680799999999998,29.680799999999998,10.429987937935193,59.680799999999998,29.680799999999998,10.429987937935193,59.6,10.214889796589723,28.583333333333314,29.7]
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[43,28.9,26.1,58.9,58.9,10.293533088436865,8.6935330884368653,58.863199999999992,28.863199999999992,10.287101814792475,58.863199999999999,28.863199999999999,10.287101814792477,58.9,10.092555787049729,27.88333333333334,28.9,"Below per theoretical data this page C40 mazimum values"]
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[null,null,null,null,null,null,null,null,null,null,null,{"$f":"L42-J37","v":-17}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(L42>J37,G45-L43,G45+ABS(L43))","v":109},{"$f":"F42-L43","v":110.52121390284096}]
[null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C9","v":92},null,null,null,null,"New Values Above"]
[]
[]
[]
[]
[]
[null,null,null," What IF scenario for a quick change 2 to 1 KEY RATIO"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,{"$f":"F70","v":128.95908582969173}]
[]
[]
[]
[null,null,null,null,null,null,{"$f":"E70","v":120.66666666666666}," ",null,null,{"$f":"E71","v":241.33333333333334}]
[]
[null,null,null,null,{"$f":"'Simple AR Calculator'!C7","v":122},{"$f":"'Simple AR Calculator'!D7","v":130.38404810405297},null,null,null,"Current Key Ratio =",null,null,null,{"$f":"'Simple AR Calculator'!C23","v":1.9672131147540985}]
[null,null,null,null,{"$f":"'Simple AR Calculator'!C8","v":240},null,{"$f":"E69+E68","v":362}]
[null,null,null,null,{"$f":"G69-E71","v":120.66666666666666},{"$f":"(F68*E70)/E68","v":128.95908582969173},{"$f":"SQRT(F68^2-E68^2)","v":45.999999999999957}]
[null,null,null,null,{"$f":"(G69*2)/3","v":241.33333333333334},{"$f":"E71","v":241.33333333333334}]
[]
[]
[]
[]
[]
[]
[null,null,null,"Use this What IF scenario to try a Custom KEY RATIO"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,{"$f":"I99","v":97.609915793744548}]
[null,null,{"$f":"L100","v":45.999999999999957},null,null,null,null,{"$f":"'Simple AR Calculator'!D7","v":130.38404810405297}]
[]
[]
[]
[null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C7","v":122}," ",null,null,{"$f":"'Simple AR Calculator'!D8","v":240}]
[null,null,null,null,null,null,{"$f":"H99","v":91.333333333333314},null,null,null,{"$f":"H100","v":270.66666666666669},null,null,"Front Key Segment Trial Options"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Front Seg","Rear Seg","Ratio"]
[null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C7","v":122},{"$f":"'Simple AR Calculator'!D7","v":130.38404810405297},{"$f":"H97+H96","v":362},{"$f":"J96/H97","v":1.5083333333333333},null,null,{"$f":"K93","v":240},{"$f":"$L$99-N96","v":122},{"$f":"N96/O96","v":1.9672131147540983},{"$f":"N96+O96","v":362}]
[null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C8","v":240},null,null,{"$f":"H97/J96","v":0.66298342541436461},330,null,{"$f":"N96+2","v":242},120,2.0166666666666666,{"$f":"N97+O97","v":362}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,244,118,2.0677966101694913,362]
[null,null,null,null,null,null,null,{"$f":"$L$99-H102","v":91.333333333333314},{"$f":"(I96*H99)/H96","v":97.609915793744548},null,null,{"$f":"H97+H96","v":362},null,246,116,2.1206896551724137,362]
[null,null,null,null,null,null,null,{"$f":"L99-H99","v":270.66666666666669},{"$f":"H100","v":270.66666666666669},{"$f":"+H100+H99","v":362},{"$f":"J100/H100","v":1.3374384236453201},{"$f":"SQRT(I96^2-H96^2)","v":45.999999999999957},null,248,{"$f":"$L$99-N100","v":114},{"$f":"N100/O100","v":2.1754385964912282},362]
[null,null,null,"Current Key Ratio =",null,null,null,{"$f":"'Simple AR Calculator'!C23","v":1.9672131147540985},null,null,{"$f":"H100/J100","v":0.74769797421731132},null,null,250,112,2.2321428571428572,362]
[null,null,null,"Enter the Key Front you want to try -->>",null,null,null,270.66666666666669,null,null,null,null,null,252,110,2.290909090909091,362]
[null,null,null,"New Trial Ratio = ",null,null,null,{"$f":"H100/H99","v":2.9635036496350375}]
[null,null,null,"        Millimeter Change at Balance Rail =",null,null,null,{"$f":"H102-K93","v":30.666666666666686}]
[]
[]
[]
[]
[]
[]
[null,"Use this What IF scenario to try a Spread Change"]
[]
[]
[]
[]
[]
[]
[]
[{"$f":"'Simple AR Calculator'!C9","v":92},"sarc",null,null,null,{"$f":"SQRT(G125^2-D124^2)","v":93.47058360789238},null,null,null,null,null,null,null,{"$f":"SQRT(O125^2-L124^2)","v":94.0744386111339}]
[{"$f":"F119","v":93.47058360789238}]
[{"$f":"A119-A120","v":-1.4705836078923795},"dif",null,null,"Your Setup",null,null,null,null,null,null,null,"Proposed Change"]
[null,null,null,null,null,null,null,null,null,null,null,null,"if moving whippen rail / center"]
[]
[{"$f":"SQRT(G125^2 - F119^2)","v":63.5},"inches>",{"$f":"D124/25.4","v":2.5},63.5,"mm",null,null,null,null,null,null,63.5]
[{"$f":"SQRT(G125^2 - A119^2)","v":65.612498809296994},null,{"$f":"D125/25.4","v":2.5831692444605117},{"$f":"A125","v":65.612498809296994},null,null,{"$f":"'Simple AR Calculator'!$C$17","v":113},{"$f":"F119","v":93.47058360789238},null,null,null,null,null,null,113.5,"<< enter proposed spread change here"]
[]
[{"$f":"A124-A125","v":-2.1124988092969943},"dif",null,null,null,null,null,null,null,null,null,null,null,null,"IMPACTS","Whip in"]
[{"$f":"A127/25.4","v":-8.316924446051159E-2},"\"",null,null,null,null,null,null,null,null,null,null,null,null,null,"Whip out"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,"Move whip rail or whip flanges by ",null,null,{"$f":"N119-F119","v":0.60385500324152019},"mm*"]
[]
[]
[]
[null,null,null,"Carry In These Values",null,null,null,null,null,null,"Changed Values"]
[null,null,null,null,"MAR","DAR",null,null,null,null,null,"MAR","DAR"]
[null,null,null,"Whip Out",{"$f":"'Simple AR Calculator'!C9","v":92},{"$f":"'Simple AR Calculator'!E9","v":93.521213902840955},null,null,null,null,"Whip Out",{"$f":"E136+P130","v":92.60385500324152},{"$f":"F136+P130","v":94.125068906082475},null,{"$f":"L136","v":92.60385500324152},{"$f":"M136","v":94.125068906082475}]
[null,null,null,"Whip In",{"$f":"'Simple AR Calculator'!C10","v":62.5},{"$f":"'Simple AR Calculator'!D10","v":66.258961658027815},null,null,null,null,"Whip In",{"$f":"E137+P130","v":63.10385500324152},{"$f":"F137+P130","v":66.862816661269335},null,{"$f":"L137","v":63.10385500324152},{"$f":"M137","v":66.862816661269335}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,"Touchweight Perspective"]
[null,null,null,50,"Grams DW"]
[null,null,null,240,"Front Key Input"]
[null,null,null,55,"Touch Distance (mm) In From Very Front of Key"]
[null,null,null,{"$f":"(D158*D159)/(D159-D160)","v":64.86486486486487},"Touch Weight Felt by Pianist"]
[null,null,null,"FYI ONLY. Numbers have no bearing on your action evaluation."]
[null,null,null,"Isw = Iham*(Wo/Si * Ko/Wi)^2"]
[null,null,null,null,"Ik = Isw*Rθ^2"]

{"sheet":"Key Leads","index":14,"n_rows":326,"n_cols":41,"rows_kept":326,"cut":false,"hidden":true,"merged":[[132,34,132,37],[143,7,143,9],[142,7,142,9],[136,2,136,11],[133,23,133,31],[137,2,137,6],[137,7,137,11],[134,1,134,9],[142,1,142,3],[141,7,141,10],[143,31,143,32],[143,29,143,30],[142,17,144,17],[136,13,136,19],[143,13,143,16],[142,13,142,15],[57,4,60,4],[71,2,72,9],[116,8,116,12],[115,8,115,12],[135,2,135,10],[130,7,130,11],[91,2,91,9],[92,2,92,4],[95,2,95,4],[94,2,94,4],[31,5,31,7],[44,12,48,15],[63,17,63,20],[104,11,104,12],[94,11,94,15],[95,11,95,15],[74,13,74,14],[96,11,96,14],[30,12,30,14],[82,11,82,12],[132,11,132,13],[99,11,99,17],[93,11,93,15],[105,11,105,12],[83,11,83,12],[77,11,77,17],[92,11,92,15]]}
[]
[null,null,"Legend",null,"is carried over values",null,null,"where you enter a value",null,null,"this","or","this","is a computed value"]
[]
[null,null,"THE KEY LEADS WORKSHEET",null,null,"per action",{"$f":"'Simple AR Calculator'!C6","v":"Standard Action"}]
[null,null,"As a result of Action Geometry data you entered at the Main Form (AR Calculator) this worksheet has automatically been run."]
[]
[null,null,"Note that this form takes additional inputs:               "]
[null,null,"                                                                                               ",null,null,null,"  1) Friction (a default of 12 grams is already in place, but you may change)."]
[null,null,null,null,null,null,"  2) Weight of a single key lead that represents the keys you are working with, e.g.15 grams,"]
[null,null,"                                                                                                                                                                                                                                                  ",null,null,null,"       or plan to use on a new set of keys (if replacing). Default is 13.8 grams but you may change.."]
[]
[null,null,"Other optional inputs exist as well.",null,null,null,"   3) A trial hammer / strike weight value that is different from the carried over theoretical hammer."]
[null,null,null,null,null,null,"   4) Optional, downweight default is for 50 grams, but you may change in columns below. "]
[]
[]
[]
[]
[]
[]
[null,null,"The drawings below depict the transference of grams-force as it develops downward from the hammer mass, then through the whippen,"]
[null,null,"and finally through the key resulting in a balancing downweight of 50 gms (+ or -). The roadmap trail of the red arrows indicates the direction of the flow."]
[null,null,"A full grasp of what follows is not required to accomplish the basic task of working up an action per indications and program implications."]
[null,null,"Lastly, a useful and practical theoretical range of hammer weights for notes 1 to 88 is indicated at the bottom of this page."]
[]
[]
[null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C11","v":130}]
[null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!D11","v":137.56816492197603}]
[]
[null,null,{"$f":"'Simple AR Calculator'!H12","v":8.7381435385711921},null,null,"7.628 (128.3 / 18.3) + (2.544 / 2) (128.3 / 18.3) = 62.4"]
[null,"Diff SW-->",8.4749918273945752]
[null,null,null,null,null,null,{"$f":"(3.5/2)*(G26/(K34))","v":13.382352941176471},null,null,null,null,null,"Dr. Walter Pfeiffer Moments Box"]
[null,null,null,null,null,"Σm = (a x b) - (d x d) = 0",null,null,null,null,null,null,"pv = p'Ko",{"$f":"O37*N56","v":11999.999999999998},{"$f":"G67*F59","v":12000}]
[null,null,null,null,null,null,null,null,null,null,null,null,"p'wi = qwo",{"$f":"F59*D49","v":6147.5409836065573},{"$f":"F44*G44","v":6147.5409836065573}]
[null,null,null,null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C12","v":17},null,"p' = p * (V / WD) ",null,{"$f":"O37*(N56/G67)","v":98.360655737704903}]
[null,null,null,null,null,null,null,null,null,null,null,null,"q' = p' (HD_2 / HD_3)",null,{"$f":"F59*(D49/G44)","v":66.821097647897361}]
[null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C26","v":7.6470588235294121},null,null,null,null,null,"q_h = q' (Si / So)",null,{"$f":"O35*(K34/G26)","v":8.7381435385711939}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Related DW =",null,{"$f":"C29*C79","v":49.999999999999993}]
[]
[]
[null,"Read this"]
[]
[null,null,null,null,null,null,null,null,null,{"$f":"C29*G36","v":66.821097647897361},"grams force down onto top of jack"]
[]
[null,null,null,null,null,{"$f":"J42","v":66.821097647897361},{"$f":"'Simple AR Calculator'!C9","v":92}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Although the math here is well known (esp. sum of moments) and conventional outside of action work, the illustration depicted here is similar to that in Mario Igrec's excellent book Pianos Inside and Out. (N. G.)"]
[]
[]
[]
[null,null,null,{"$f":"'Simple AR Calculator'!C10","v":62.5},null,null,{"$f":"'Simple AR Calculator'!C25","v":1.472}]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"L56*1000","v":240}]
[]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C8/1000","v":0.24},"km",{"$f":"L56*1000","v":240}]
[null,null,null,null,null,null,null,null,null,null,"Center",{"$f":"(L56/2)","v":0.12},{"$f":"L57*1000","v":120},"mm"]
[null,null,null,null,"Enter Whippen Weight -->",null,null,null,null,null,"Fr. 3rd",{"$f":"((L56*5)/8)","v":0.15},null,{"$f":"L58*1000","v":150},"mm"]
[null,null,null,null,null,{"$f":"J42*G49","v":98.360655737704917},null,null,null,null,null,{"$f":"L56/L58","v":1.6},null,{"$f":"(H69*0.625)/C78","v":150}]
[null,null,null,null,null,{"$f":"'Simple AR Calculator'!F6","v":17},{"$f":"F60/1000","v":1.7000000000000001E-2},null,null,{"$f":"K60/1000","v":0.06},{"$f":"M57/2","v":60},{"$f":"L56/L57","v":2}]
[null,null,null,null,null,{"$f":"F59+F60","v":115.36065573770492},"grams force onto capstan",null,null,null,{"$f":"L56/J60","v":4},{"$f":"(L56/3)*2","v":0.16}]
[null,null,null,null,null,null,null,null,null,{"$f":"K62/1000","v":0.08},{"$f":"(L54/3)","v":80},{"$f":"L56-0.045","v":0.19500000000000001},null,{"$f":" L62-L58","v":4.5000000000000012E-2},4.4999999999999998E-2]
[null,null,null,null,null,null,null,null,null,null,{"$f":"L54/K62","v":3}]
[]
[]
[]
[null,"KG>",{"$f":"F59/1000","v":9.8360655737704916E-2},{"$f":"'Simple AR Calculator'!D7/1000","v":0.13038404810405296},{"$f":"(C67*D67^2)","v":1.6721311475409834E-3},null,{"$f":"G68*1000","v":122},null,null,{"$f":"'Simple AR Calculator'!C24","v":0.5083333333333333}]
[null,null,{"$f":"F61/1000","v":0.11536065573770492},null,{"$f":"(C68*D67^2)","v":1.9611311475409834E-3},null,{"$f":"'Simple AR Calculator'!C7/1000","v":0.122},null,null,null,{"$f":"E88","v":3.041404991948466},"number of                          ",{"$f":"D81","v":13.8},"gm leads required"]
[null,null,null,null,null,{"$f":"G69* (C67)","v":1.2E-2},{"$f":"'Simple AR Calculator'!C7/1000","v":0.122},{"$f":"G69*1000","v":122}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M71/1000","v":1.2E-2},"DW (or BW) w/o Leads",null,{"$f":"F61*J67","v":58.641666666666666},{"$f":"(P70-50)/1000","v":8.6416666666666656E-3}]
[null,null,null,null,null,null,null,null,null,null,null,"Friction -->",12,"DW w/o Lds. + Friction",null,{"$f":"P70+M71","v":70.641666666666666},{"$f":"M71/1000","v":1.2E-2}]
[null,null,"Below worksheets calculate number of leads required per leads of your choice. We suggest 1/2\" leads. Data is based on the Action Ratio numbers you entered at the Control Page.  ",null,null,null,null,null,null,null,null,"Lead gms",13.8,"UW w/ Friction",null,{"$f":"P71-(M71*2)","v":46.641666666666666}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"DW w/ Leads + Fric.",null,{"$f":"K87","v":50},{"$f":"(C75*C76*C77+F60) * C78 -P70","v":0}]
[null,null,null,null,"kg",null,null,null,null,"grams",null,null,null,"UW w/ Leads + Fric.",null,{"$f":"Q89","v":26}]
[null,null,{"$f":"C29","v":8.7381435385711921},"SW_Bal",{"$f":"C75/1000","v":8.7381435385711914E-3},"Strikeweight ---- hammer",null,null,null,{"$f":"E75*1000","v":8.7381435385711921},null,null,null,"Balance Weight",null,{"$f":"K86","v":38}]
[null,null,{"$f":"G36","v":7.6470588235294121},"Shk_RO",{"$f":"$E$75*$C$76","v":6.6821097647897343E-2},"per hammer ratio force at jack top",null,null,null,{"$f":"E76*1000","v":66.821097647897346},null,null,null,"Front Weight",null,{"$f":"M81","v":20.641666666666652}]
[null,null,{"$f":"G49","v":1.472},"Wip_RO",{"$f":"$E$76*$C$77","v":9.8360655737704888E-2},"gram force at capstan",null,null,null,98.360655737704889]
["KIW      =",5.7,{"$f":"J67","v":0.5083333333333333},"Key_RO",{"$f":"$F$60/1000","v":1.7000000000000001E-2},"Whippen Radius Weight (WW)",null,null,null,17,null,"Front Weight, Strike Weight RO, and Balance Weight"]
["KIW *   =",{"$f":"B78*C88","v":11.213114754098362},{"$f":"'Simple AR Calculator'!C46","v":5.7220392156862747},"MAR",{"$f":"$E$77+$E$78","v":0.11536065573770489},"gram force at capstan plus WW",null,null,null,115.36065573770489,null,"FW = (SW * AR) + (WW * KR) - BW",null,null,null,"AR = BW + FW - (WW * KR)"]
["Ld. Adj. =",{"$f":"J84-B79","v":30.070218579234918},null,null,{"$f":"$E$79*$C$78","v":5.8641666666666648E-2},"gm force at key end or Bal. Weight (BW)",null,null,null,58.641666666666644,{"$f":"J80-J82","v":8.6416666666666444},"SW =",{"$f":"J75","v":8.7381435385711921},"grams",null,null,"SW"]
[null,null,"Lead gms",{"$f":"M72","v":13.8},{"$f":"$E$80+M70","v":7.0641666666666644E-2},"DW plus friction at key end (w/o leads)",null,null,null,70.641666666666637,{"$f":"K80*C88","v":16.999999999999957},"FW =",{"$f":"(J75*D89) + (F60 * D88) - J86","v":20.641666666666652},"grams",{"$f":"M81/1000","v":2.0641666666666652E-2}]
[null,null,"Target DW",{"$f":"'Simple AR Calculator'!A6","v":50},{"$f":"$D$82/1000","v":0.05},"is downweight target (DT)",null,null,null,50,{"$f":"M71*C87","v":24},"Click 2 cells below for FW max values",null,null,null,"SW =",{"$f":"C75","v":8.7381435385711921}]
[null,null,null,1.9E-2,{"$f":"$E$81-$E$82","v":2.0641666666666642E-2},"Diff = grams mass req'd at key end = FW",null,null,null,{"$f":"E83*1000","v":20.641666666666641},{"$f":"M71*C88","v":23.606557377049182},"Note     SW  FW_max",null,null,null,"BW =",{"$f":"J86","v":38.000000000000007}]
[null,null,{"$f":"L59","v":1.6},null,{"$f":"E83*C87","v":4.1283333333333283E-2},"Lead (LW) req'd center (or front 3rd of key)",null,null,null,{"$f":"E84*1000","v":41.283333333333282},{"$f":"K81+K83","v":40.606557377049143},"49         9      26.4",null,null,null,"FW =",{"$f":"M81","v":20.641666666666652}]
[null,null,{"$f":"1/C84","v":0.625},null,{"$f":"$E$79-$E$84","v":7.4077322404371607E-2},"pro-rata force at capstan (less LW required)",null,null,null,74.0773224043716,{"$f":"J79-K84","v":74.754098360655746},null,null,null,null,"WW =",{"$f":"F60","v":17}]
[null,null,{"$f":"L56*C85","v":0.15},null,{"$f":"$E$85*1/$C$89","v":3.8000000000000006E-2},"x key ratio is adjusted BW",null,null,null,{"$f":"E86*1000","v":38.000000000000007},{"$f":"K85/C88","v":38},null,null,null,null,"KR = ",{"$f":"D88","v":0.5083333333333333}]
[null,null,{"$f":"L60","v":2},null,{"$f":"$E$86+($M$71/1000)","v":0.05},"plus gram friction = practical DW",null,null,null,{"$f":"E87*1000","v":50},{"$f":"K86+M71","v":50},null,null,null,null,"AR = ",{"$f":"((Q83+Q84) - (Q85*D88)) / Q82","v":5.7220392156862747}]
[null,null,{"$f":"'Simple AR Calculator'!C23","v":1.9672131147540985},{"$f":"1/C88","v":0.5083333333333333},{"$f":"$K$88/(D81)","v":3.041404991948466},{"$f":"D81","v":13.8},"gram leads are required",null,null,null,{"$f":"(J84*C87)/C88","v":41.971388888888832},"BW = (SW * AR) + (WW * KR) - FW",null,null,null,null,{"$f":"(J75*D89) + (F60 * D88) - M81","v":38.000000000000007}]
[null,null,{"$f":"J85/(D82-M71)","v":1.9494032211676737},{"$f":"C76*C77*D88","v":5.7220392156862747},null,6.7479853630065918,"kg cm2","Center",122.5,"mm",{"$f":"J84/1000","v":4.1283333333333283E-2},null,{"$f":"O81*L56^2","v":1.1889599999999991E-3},null,null,"UW =",{"$f":"(P73-2*M71)","v":26}]
["Go Top",null,null,null,null,"Lead Inert",null,null,null,null,null,null,{"$f":"K84*L57^2","v":0.58473442622950766},null,null,"UWwf =",{"$f":"P71-(M71*2)","v":46.641666666666666}]
[null,null,null,null,null,null,null,null,null,null,null,null,3.7328280000000001E-4]
[null,null,"Try Out Different Hammer or Strike Weight Values Here",null,null,null,null,null,null,null,null,null,{"$f":"M89+M90+M91","v":0.58629666902950772}]
[null,null,"Enter Hammer Weight Here --->>",null,null,7.7,null,null,null,null,null,"SW = (((BW + FW) - (WW * KR)) / AR) "]
[null,null,{"$f":"'Simple AR Calculator'!H20/1000","v":0.01},null,null,{"$f":"F95/1000","v":9.300000000000001E-3},null,null,null,null,null,"FW = (SW * AR) + (WW * KR) - BW"]
[null,null,"Estimated SW Here Will Be",null,null,{"$f":"F93+1.6","v":9.3000000000000007},null,null,null,null,null,"AR = (BW + FW - (WW * KR) / SW"]
[null,null,"Carried here from Main Page -->>",null,null,{"$f":"C75","v":8.7381435385711921},null,null,null,null,null,"BW = (SW * AR) + (WW * KR) - FW"]
[null,null,{"$f":"F96","v":8.7381435385711921},"SW_Bal",{"$f":"C94","v":0.01},"Strikeweight ---- hammer",null,null,null,{"$f":"E97*1000","v":10},null,"FW = (SW * Sro * Wro + WW) * Kro - BW",null,null,null,{"$f":"(C75*C76*C77+F60) * C78 -Q83","v":20.641666666666659}]
[null,null,{"$f":"C76","v":7.6470588235294121},"Shk_RO",{"$f":"E97*C98","v":7.6470588235294124E-2},"per hammer ratio force at jack top",null,null,null,76.47058823529413]
[null,null,{"$f":"C77","v":1.472},"Wip_RO",{"$f":"E98*C99","v":0.11256470588235294},"gram force at capstan",null,null,null,112.56470588235294]
[null,null,{"$f":"C78","v":0.5083333333333333},"Key_RO",{"$f":"F60/1000","v":1.7000000000000001E-2},"Whippen Radius Weight (WW)",null,null,null,17,null,"Front Weight, Strike Weight RO, and Balance Weight"]
[null,null,{"$f":"C79","v":5.7220392156862747},"MAR",{"$f":"E99+E100","v":0.12956470588235294},"gram force at capstan plus WW",null,null,null,129.56470588235294,null,"FW = (SW * AR) + (WW * KR) - BW",null,null,null,"AR = BW + FW - (WW * KR)"]
[null,null,null,null,{"$f":"E101*C100","v":6.5862058823529412E-2},"gram force at key end or BW",null,null,null,65.862058823529409,null,"SW =",{"$f":"J97","v":10},"grams",null,null,"SW"]
[null,null,"Lead gms",{"$f":"M72","v":13.8},{"$f":"E102+(M71/1000)","v":7.7862058823529409E-2},"DW plus friction at key end",null,null,null,77.862058823529409,null,"FW =",{"$f":"(J97*D111) + (F60 * D110) - J108","v":27.862058823529416},"grams"]
[null,null,"Enter DW",{"$f":"D82","v":50},{"$f":"D104/1000","v":0.05},"is desired downweight (DDW)",null,null,null,50,null,"Click 2 cells below for FW max values",null,null,null,"SW =",{"$f":"J97","v":10}]
[null,null,null,null,{"$f":"E103-E104","v":2.7862058823529406E-2},"Diff = grams mass req'd at key end = FW",null,null,null,27.862058823529406,null,"Note     SW  FW_max",null,null,null,"BW =",{"$f":"J108","v":37.999999999999993}]
[null,null,{"$f":"C87","v":2},null,{"$f":"E105*C106","v":5.5724117647058813E-2},"Lead (LW) req'd center (or front 3rd of key)",null,null,null,55.724117647058812,{"$f":"J106/1000","v":5.5724117647058813E-2},"60         8.7      21.3",null,null,null,"FW =",{"$f":"M103","v":27.862058823529416}]
[null,null,{"$f":"1/C106","v":0.5},null,{"$f":"E101-E106","v":7.384058823529413E-2},"pro-rata frc. at capstan minus (LW required)",null,null,null,73.840588235294135,{"$f":"K106 + (E109/10)*D110","v":5.8265784313725477E-2},null,null,null,null,"WW =",{"$f":"F60","v":17}]
[null,null,{"$f":"L56*C107","v":0.12},null,{"$f":"E107*(1/C111)","v":3.7999999999999992E-2},"x key ratio is adjusted BW",null,null,null,37.999999999999993,{"$f":"E101-K107","v":7.1298921568627466E-2},null,null,null,null,"KR = ",{"$f":"D110","v":0.5083333333333333}]
[null,null,{"$f":"L60","v":2},null,{"$f":"E108+(M71/1000)","v":4.9999999999999989E-2},"plus gram friction = practical DW",null,null,null,49.999999999999986,{"$f":"K108*D110","v":3.6243618464052295E-2},null,null,null,null,"AR = ",{"$f":"((J108+Q106) - (Q107*Q108)) / Q104","v":5.7220392156862747}]
[null,null,{"$f":"'Simple AR Calculator'!C23","v":1.9672131147540985},{"$f":"1/C110","v":0.5083333333333333},{"$f":"E106/(D103/1000)","v":4.0379795396419427},{"$f":"D103","v":13.8},"gram leads are required",null,null,null,{"$f":"K109+Q71","v":4.8243618464052299E-2},"BW = (SW * AR) + (WW * KR) - FW",null,null,null,null,{"$f":"(Q104*Q109) + (Q107 * Q108) - M103","v":37.999999999999993}]
[null,null,{"$f":"J107/(D104-M71)","v":1.9431733746130035},{"$f":"C98*C99*D110","v":5.7220392156862747},{"$f":"K107*L57^2","v":8.390272941176468E-4},9.2887503957748283,"kg cm2","Fr. 3rd",150,"mm",null,null,null,null,null,"UW =",{"$f":"(Q110*2) - D104","v":25.999999999999986}]
[null,null,{"$f":"1/C111","v":0.51462211919158107},null,null,"Lead Inert",null,null,null,null,null,null,null,null,null,null,{"$f":"(J108*2) - D104","v":25.999999999999986}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"`",null,null,null,null,"`"]
[]
[null,null,"Key Ln IN",{"$f":"'Simple AR Calculator'!C18/1000","v":0.51500000000000001},null,"Key Ln est.",{"$f":"IF(N56*2>0.275,G117+0.245,N56*2)","v":0.48499999999999999},null,"I (whip) = 0.019 * ((0.1118^2) / 3) = 0.0000792 ",null,null,null,null,{"$f":"J118*((K118^2)/3)","v":4.956189888254529E-5}]
[null,null,null,null,null,"Key Front",{"$f":"L56","v":0.24}]
[null,null,"Key Ht.",{"$f":"0.0254","v":2.5399999999999999E-2},null,null,null,null,null,{"$f":"G60","v":1.7000000000000001E-2},{"$f":"'Simple AR Calculator'!E9/1000","v":9.3521213902840961E-2}]
[null,null,"Key Wid",{"$f":"D118/2","v":1.2699999999999999E-2},1.29E-2]
[null,null,"Key Vol",{"$f":"IF(D116>0.1,PRODUCT(D116:D119),(G120))","v":1.661287E-4},null,null,{"$f":"PRODUCT(G116,D118,D119)","v":1.5645129999999996E-4}]
[null,null,"Spruce fac",450,null,null,{"$f":"G120*D121","v":7.040308499999999E-2}]
[null,null,"W. Spruce",435]
[null,null,"S. Pine ",425]
[null,null,null,null,"Key Inert","Lead Avg","C&B Inert"]
[null,null,"Spruce",{"$f":"D120*D121","v":7.4757914999999994E-2},{"$f":"IF(D116<>0,(D125*D116^2)/12,(D125*G116^2)/12)","v":1.6523056671562499E-3},{"$f":"E85*L57^2","v":1.066713442622951E-3},3.7328280000000001E-4,{"$f":"IF(E125<>0,E125+F125+G125,0)","v":3.0923019097792012E-3},"taken @ IMA"]
[null,null,"Spruce2",{"$f":"D120*D122","v":7.2265984500000005E-2},{"$f":"IF(D116>1, (D126*D116^2)/12,(D126*G116^2/12))","v":1.416563850334375E-3},{"$f":"F125","v":1.066713442622951E-3},{"$f":"G125","v":3.7328280000000001E-4},{"$f":"IF(E126<>0,E126+F126+G126,0)","v":2.856560092957326E-3}]
[null,null,"Sug. Pine",{"$f":"D120*D123","v":7.0604697499999994E-2},{"$f":"(D127*G116^2)/12","v":1.3839991641197917E-3},{"$f":"F125","v":1.066713442622951E-3},{"$f":"G125","v":3.7328280000000001E-4},{"$f":"IF(E127<>0,E127+F127+G127,0)","v":2.8239954067427429E-3}]
[null,null,"Spruce @ trial ham",null,{"$f":"E125","v":1.6523056671562499E-3},{"$f":"K89*L57^2","v":5.9447999999999923E-4},{"$f":"G125","v":3.7328280000000001E-4},{"$f":"IF(E128<>0,E128+F128+G128,0)","v":2.6200684671562492E-3},{"$f":"H128+N116","v":2.6696303660387944E-3}]
[]
[null,null,null,null,null,{"$f":"F131/1000","v":8.7381435385711914E-3}]
[null,"FW = (SW * AR) + (WW * KR) - BW",null,null,null,{"$f":"C29","v":8.7381435385711921},null,"SW = (((BW + FW) - (WW * KR)) / AR) ",null,null,null,null,{"$f":"(((G146+D146)-(F60*D88))/D89)","v":12.348453177257523},"Iham = ",{"$f":"(F130*E133^2) +C133","v":1.6536936646745979E-4}]
[null,null,null,"shank","So","Ham","Wo ","Si","Ko","Wi","Rots Avg","Inertia =","Iham*(Wo/Si * Ko/Wi)^2",null,{"$f":"O131*(G133/H134 * I133/J133)^2","v":1.2229464941159942E-2}]
[null,null,null,{"$f":"(0.004 * E134^2)/3","v":2.2533333333333333E-5},{"$f":"'Simple AR Calculator'!D11/1000","v":0.13756816492197604},{"$f":"I146/1000","v":1.0848453177257524E-2},{"$f":"'Simple AR Calculator'!E9/1000","v":9.3521213902840961E-2},{"$f":"'Simple AR Calculator'!F16/1000","v":1.9537539455580014E-2},{"$f":"'Simple AR Calculator'!D7/1000","v":0.13038404810405296},{"$f":"'Simple AR Calculator'!D10/1000","v":6.6258961658027818E-2},{"$f":"'Simple AR Calculator'!C54","v":8.5991837903387491},"Isw = (SW * So^2) + SS",null,null,{"$f":"(F131/1000*(E133^2+C133))","v":1.6536936646745979E-4},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"FW * (Ki / Kfac) e.g. 250/160 or 250/125"]
[null,null,null,null,{"$f":"'Simple AR Calculator'!C11/1000","v":0.13},null,null,2.1399999999999999E-2,null,null,{"$f":"K133^2","v":73.945961860024696},null,null,null,null,null,null,null,null,null,null,null,null,"Wf = (((((SW * Sro * Wro) + WW) * KR + F) - DW) * KR^ -1) / 14.2",null,null,null,null,null,null,null,null,null,null,"Prac. Pos  = (L_total_req * Ctr_mm) / (Lds_on_hand * rounded(#ctr_Lds)) ",null,null,null,null,null,{"$f":"(AK146*#REF!)/(AE143*ROUND(AF146,1))","v":{"$error":"#REF!"}}]
[null,"Wf = (((((SW * Sro * Wro) + WW) * KR + F) - DW) * KR^ -1) / 14.2",null,null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!B59","v":8.5991837903387509},{"$f":"'Simple AR Calculator'!#REF!","v":{"$error":"#REF!"}},null,null,null,null,null,null,null,null,null,null,null,"FW = (SW * AR) + (WW * KR) - BW"]
["Click here to show ",null,"This page may seem overwhelming with data, but it is really quite simple. Read comment here --- >>>",null,null,null,null,null,null,null,null,"READ"]
["technical - educat-",null,"THESE COLUMNS DISPLAY THEORETICAL HAMMER WEIGHTS FOR THIS ACTION ",null,null,null,null,null,null,null,null,null,null,"READOUTS CHANGE PER A TRIAL SW CHANGE"]
["ional details above.",null,"Note # to Hammer Weight Summary for Action ",null,null,null,null,{"$f":"G4","v":"Standard Action"},null,null,null,null,null,"Try Different Strikeweight for  ",null,null,{"$f":"H138","v":"Standard Action"}]
[null,null,"Note -->>","A 1","  E 20","A# 26","B 27","C 40","A 49","A 61","C 88","Inert. Avg",null,"A1","A#26","C40","A 49","A61","C88","Inert. Avg"]
[null,null,"Ham gms",{"$f":"I146","v":10.848453177257523},{"$f":"I165","v":9.992115110477549},{"$f":"I171","v":9.6775419430889844},{"$f":"I172","v":9.6251130818575579},{"$f":"I185","v":8.8736327375404347},{"$f":"I194","v":8.2444864027633109},{"$f":"I206","v":7.2658143264433352},{"$f":"I233","v":4.2773692362519879},{"$f":"J235","v":135.83618212188506},null,{"$f":"Q146","v":8.9},{"$f":"Q171","v":7.7290887658314613},{"$f":"Q185","v":6.9251795602829116},{"$f":"Q194","v":6.2960332255057878},{"$f":"Q206","v":5.3173611491858122},{"$f":"Q233","v":2.3289160589944649},{"$f":"R235","v":108.56899588214323},53,50,null,null,null,null,"Note    SW     Ham.","Note  SW  FW_max"]
[null,null,"% FW Mx",{"$f":"(M81/B146)","v":0.49979822437449523},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,53,50,null,null,null,null,{"$f":"A146 &\"      \"&ROUND(H146,2)&\"      \"&ROUND(I146,1)","v":"1      12.35      10.8"},{"$f":"A146 &\"         \"&ROUND(H146,1)&\"      \"&ROUND(B146,1)","v":"1         12.3      41.3"}]
[null,null,1,null,null,null,{"$f":"H146","v":12.348453177257523},"Enter Std. Lead Weight You Will Use -->>",null,null,null,13.8,{"$f":"D146*2","v":82.6},{"$f":"C79","v":5.7220392156862747},null,{"$f":"H146-Q143","v":1.9484531772575231},null,null,null,null,53,50,null,null,null,null,"2      12.31      10.8","2         12.3      41.1"]
[null,"Frontweight Factors",null,null,null,null,null,{"$f":"G4","v":"Standard Action"},null,null,"Ctr. mm @","Fr. 3rd",{"$f":"M142/L142","v":5.9855072463768106},"Enter a trial SW note# 1 -->>",null,null,10.4,"Inertia","Ctr. mm @","Fr. 3rd",53,50,null,null,null,null,"3      12.26      10.8","3         12.3      40.8"]
["open","Max","%","per dw tar",null,null,null,"SW-Hammers This Action",null,null,{"$f":"$L$57*1000","v":120},{"$f":"N59","v":150},null,"Trial SW-Ham. Columns",null,null,null,null,{"$f":"$L$57*1000","v":120},{"$f":"$L$58*1000","v":150},53,50,null,null,null,null,"4      12.23      10.7","4         12.2      40.6",null,"Accel 1st 4th",null,"Accel 1st 3rd"]
[null,null,null,{"$f":"C146/H146","v":3.3445484553533644},"Note","DW","BW","SW","Hammer","Inertia","# of Lds","# of Lds","#","SW","BW","FW","Hammer",null,"# of Lds","# of Lds",53,50,null,null,null,null,"5      12.17      10.7","5         12.2      40.3","Fw ",null,"# of Lds",null,"# of Lds",null,"%","FW / SW"]
[1,41.3,{"$f":"B146*$C$142","v":41.3},{"$f":"C146-(F146-$D$82)","v":41.3},"A     1",50,{"$f":"(F146-$M$71)","v":38},{"$f":"(((G146+C146) - ($F$60 * $Q$86)) / $Q$87)","v":12.348453177257523},{"$f":"(((G146+C146) - ($F$60 * $Q$86)) / $Q$87) - 1.5","v":10.848453177257523},{"$f":"(((H146/1000*$E$133^2 )*($K$133^2))*10000)","v":172.80762837264243},{"$f":"P237/$L$142","v":5.9855072463768106},{"$f":"Q237/$L$142","v":4.7884057971014489},1,{"$f":"(((G146+C146) - ($F$60 * $Q$86)) / $Q$87)-$P$142","v":10.4},{"$f":"(N146*$C$79) + ($F$60*$C$78) -P146","v":26.85087450980393},{"$f":"C146","v":41.3},{"$f":"N146-1.5","v":8.9},{"$f":"(((N146/1000*$E$133^2)*$K$133^2))*10000","v":145.54044213290061},{"$f":"AC146/$L$142","v":5.9855072463768106},{"$f":"S146 *0.8","v":4.7884057971014489},53,50,null,null,null,null,"6      12.14      10.6","6         12.1      40.1",{"$f":"D146*($L$54/$M$57)","v":82.6},{"$f":"D146 *$K$61","v":165.2},{"$f":"AD146/$M$72","v":11.971014492753621},{"$f":"D146 *$K$63","v":123.89999999999999},{"$f":"AF146/$M$72","v":8.9782608695652169},"Note",{"$f":"(1/AJ146) * 100","v":29.899402366240977},{"$f":"C146/H146","v":3.3445484553533644}]
[2,41.1,{"$f":"B147*$C$142","v":41.1},{"$f":"C147-(F147-$D$82)","v":41.1},"A#   2",50,{"$f":"(F147-$M$71)","v":38},12.31350060310324,10.81350060310324,{"$f":"(((H147/1000*$E$133^2 )*($K$133^2))*10000)","v":172.31849249801766},{"$f":"P238/$L$142","v":5.9565217391304346},{"$f":"Q238/$L$142","v":4.7652173913043478},2,{"$f":"(((G147+C147) - ($F$60 * $Q$86)) / $Q$87)-$P$142","v":10.365047425845717},{"$f":"(N147*$C$79) + ($F$60*$C$78) -P147","v":26.850874509803923},{"$f":"C147","v":41.1},{"$f":"N147-1.5","v":8.8650474258457166},{"$f":"(((N147/1000*$E$133^2)*$K$133^2))*10000","v":145.05130625827587},{"$f":"AC147/$L$142","v":5.9565217391304346},{"$f":"S147 *0.8","v":4.7652173913043478},53,50,null,null,null,null,"7      12.09      10.6","7         12.1      39.8",{"$f":"D147*($L$54/$M$57)","v":82.2},{"$f":"D147 *$K$61","v":164.4},{"$f":"AD147/$M$72","v":11.913043478260869},{"$f":"D147 *$K$63","v":123.30000000000001},{"$f":"AF147/$M$72","v":8.9347826086956523},"A     1",{"$f":"(1/AJ147) * 100","v":29.959855482003011},{"$f":"C147/H147","v":3.3377998121543122}]
[3,40.799999999999997,40.799999999999997,{"$f":"C148-(F148-$D$82)","v":40.799999999999997},"B     3",50,38,12.261071741871813,10.761071741871813,171.58478868608051,{"$f":"P239/$L$142","v":5.9130434782608692},4.7304347826086959,3,10.31261856461429,26.850874509803944,40.799999999999997,8.8126185646142901,144.3176024463387,{"$f":"AC148/$L$142","v":5.9130434782608692},4.7304347826086959,53,50,null,null,null,null,"8      12.03      10.5","8         12      39.5",81.599999999999994,163.19999999999999,11.826086956521738,122.39999999999999,8.8695652173913029,"A#   2",30.05164642615641,3.3276047036465135]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,47.6,38.080000000000005,null,7.790102938757606]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,46.6,37.28,null,7.7027215033718939]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,45.6,36.480000000000004,null,7.6153400679861836]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,44.6,35.68,null,7.5279586326004715]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,43.6,34.880000000000003,null,7.4405771972147594]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,42.6,34.080000000000005,null,7.3531957618290473]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,41.6,33.28,null,7.2658143264433352]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,40.4,32.32,null,7.1609566039804822]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,39.4,31.52,null,7.0735751685947701]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,38.200000000000003,30.560000000000002,null,6.9687174461319152]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,37.200000000000003,29.760000000000005,null,6.8813360107462032]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"D211 * ($L$54/$M$57)","v":36},{"$f":"D211 * ($L$54/$N$59)","v":28.8},null,{"$f":"I211","v":6.7764782882833483}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,34.799999999999997,27.84,null,6.6716205658204935]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,33.6,26.880000000000003,null,6.5667628433576404]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,32.4,25.92,null,6.4619051208947864]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,31,24.8,null,6.3395711113547888]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,29.8,23.840000000000003,null,6.2347133888919348]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,28.6,22.880000000000003,null,6.12985566642908]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,27.2,21.76,null,6.0075216568890841]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,26,20.8,null,5.9026639344262293]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,24.6,19.680000000000003,null,5.7803299248862325]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23.2,18.559999999999999,null,5.6579959153462358]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,22,17.600000000000001,null,5.5531381928833818]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,20.6,16.48,null,5.4308041833433842]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19.2,15.36,null,5.3084701738033884]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,18,14.4,null,5.2036124513405335]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16.600000000000001,13.280000000000001,null,5.0812784418005368]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15.2,12.16,null,4.9589444322605409]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14,11.200000000000001,null,4.8540867097976861]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.6,10.08,null,4.7317527002576893]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11.2,8.9599999999999991,null,4.6094186907176926]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,8,null,4.5045609682548386]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.6,6.88,null,4.382226958714841]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.4,5.9200000000000008,null,4.2773692362519879]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.206554916039055]

{"sheet":"UPGRADE","index":15,"n_rows":276,"n_cols":17,"rows_kept":276,"cut":false,"hidden":false,"merged":[[213,12,213,14],[15,16,15,17],[6,15,6,17],[274,2,274,10],[123,1,124,11],[112,2,112,4],[112,6,112,7],[51,3,51,9],[57,3,57,5],[58,3,58,6],[113,6,113,7],[214,2,214,8],[214,12,214,14],[178,5,178,6],[52,3,52,5],[64,1,64,10],[103,1,103,11],[275,2,275,10],[48,1,48,10],[100,1,100,10],[107,6,107,8],[111,1,114,1],[111,2,111,4],[73,4,73,6],[104,1,104,11],[105,1,105,11],[107,1,107,5],[212,7,212,8],[213,9,213,11]]}
[]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"email "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"gravagnegang@att.net"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"* if your original purchase for the"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"AGPL was $95"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"For Renner Grads who received "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"free AGPL programs the upgrade"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"cost is $75"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"See ","www.gravagne.com"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"for additional purchase options. "]
[]
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[null,"FW Tar.","Note","DW Tar.","BW","SW","Ham Wt.","Inertia ","Leads","Leads"]
[null,25.16,"C     40",50,38,9.4515856243977083,7.8515856243977087,189.65025615676964,3.3546666666666667,2.6837333333333331]
[null,24.905000000000001,"C#   41",50,38,9.4070216966158373,7.8070216966158377,188.84434073778283,3.3206666666666669,2.656533333333333]
[null,24.565000000000001,"D     42",50,38,9.3476031262400081,7.7476031262400085,187.76978684580038,3.2753333333333332,2.6202666666666659]
[null,24.225000000000001,"D#   43",50,38,9.2881845558641789,7.6881845558641793,186.69523295381796,3.23,2.5839999999999992]
[null,23.885000000000002,"E     44",50,38,9.2287659854883515,7.6287659854883518,185.6206790618356,3.1846666666666668,2.547733333333333]
[null,23.545000000000002,"F     45",50,38,9.1693474151125223,7.5693474151125226,184.54612516985318,3.1393333333333331,2.5114666666666658]
[null,23.204999999999998,"F#   46",50,38,9.1099288447366931,7.5099288447366934,183.47157127787077,3.0939999999999999,2.4751999999999992]
[null,22.864999999999998,"G     47",50,38,9.0505102743608621,7.4505102743608624,182.39701738588829,3.0486666666666666,2.4389333333333325]
[null,22.44,"G#   48",50,38,8.9762370613910765,7.3762370613910768,181.0538250209103,2.9919999999999995,2.3935999999999993]
[null,22.1,"A      49",50,38,8.9168184910152473,7.3168184910152476,179.97927112892791,2.9466666666666663,2.3573333333333322]
[]
[]
[null,"Below shows a small portion of trying out a different Strike Weight to see impact on all parameters."]
[]
[]
[null,null,null,"READOUTS CHANGE PER A TRIAL SW CHANGE"]
[null,null,null,"Try Different Strikeweight for  ",null,null,"S&S A"]
[null,null,null,"A1","A#26","C40","A 49","A61","C88","Inert. Avg"]
[null,null,null,{"$f":"G61","v":9},8,7.2,6.7,5.8,2.7,182]
[]
[]
[null,null,null,"Enter a trial SW -->>",null,null,10.6,"Inertia","Ctr. mm @","Fr. 3rd"]
[null,null,null,"Trial SW-Ham. Columns",null,null,null,null,123,155]
[null,null,null,"SW","BW","FW","Hammer",null,"# of Lds","# of Lds"]
[null,34.935000000000002,"A     1",10.6,38,29.70635668901707,9,220.78042846190112,4.6580000000000004,3.7264000000000004]
[null,34.68,"A#   2",10.554215129116374,38,29.451356689017075,8.9542151291163741,219.91055005369643,4.6239999999999997,3.6991999999999998]
[]
[]
[null,"Below is a partial drawing of Transference of Grams-Force as found at the KLP"]
[]
[]
[null,null,null,null,null,130]
[]
[]
[null,8.75,null,null,"7.628 (128.3 / 18.3) + (2.544 / 2) (128.3 / 18.3) = 62.4"]
[]
[null,null,null,null,null,{"$f":"(3.5/2)*(F68/(J76))","v":13.382352941176471}]
[null,null,null,null,"Σm = (a x b) - (d x d) = 0"]
[]
[null,null,null,null,null,null,null,null,null,17]
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[null,null,null,null,null,null,null,null,66.8,"grams force down onto top of jack"]
[]
[null,null,null,null,{"$f":"I84","v":66.8},{"$f":"'[7]Simple AR Calculator'!E16","v":0}]
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[null,"Below shows a small portion of trying out a different Strike Weight to see impact on all parameters."]
[]
[]
[null,"TRY DIFFERENT BW, FRICTION, ENTER ACTUAL HAMMER WEIGHTS"]
[null,"Enter Your Own Set of Hammer Weights and Try Different Balance Weights (BW) "]
[null,"Each Hammer in Your Set Should Be Arced, Tailed, Tapered, Weighed and Entered in the Hammer Column"]
[]
[null,"Note # to Hammer Weight Summary for Action ",null,null,null,null,{"$f":"'[7]Simple AR Calculator'!F62","v":17.437845938764188}]
[null,"Note -->>","A 1","  E 20","A# 26","B 27","C 40","A 49","A 61","C 88","Inert. Avg","MAR"]
[null,"Ham gms",{"$f":"E116","v":9.7897663624105355},{"$f":"E135","v":0},{"$f":"E141","v":0},{"$f":"E142","v":0},{"$f":"E155","v":0},{"$f":"E169","v":0},{"$f":"E181","v":0},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"#REF!","v":{"$error":"#REF!"}},{"$f":"'[7]Simple AR Calculator'!K63","v":0}]
[]
[null,"Shank radii weights below","Enter Whip Radius Weight -->",null,null,18]
[null,null,"Enter a trial BW -->>",null,null,38,"Enter Std. Lead -->",null,15,"Ctr. mm @","Fr. 3rd"]
[null,null,"Enter a typical friction target -->",null,null,12,"Enter KIW -->>",null,0,{"$f":"'[7]Key Leads'!N200","v":8.7193995037220837},{"$f":"'[7]Key Leads'!O200","v":38}]
[null,null,"DW","SW","Hammer","BW ","FW ","FW Max","Inertia","# of Lds","# of Lds","Note"]
[null,1.7,50,11.489766362410535,9.7897663624105355,38,34.661933018835313,41.3,237.68532591099657,4.6215910691780415,3.6972728553424337,"A     1"]
[null,1.7,50,11.444369798855845,9.7443697988558462,38,34.409095706355629,41.1,236.82282505250799,4.5878794275140837,3.6703035420112675,"A#   2"]
[null,1.7,50,11.414105423152716,9.7141054231527164,38,34.24053749803582,40.799999999999997,236.24782448018217,4.5654049997381092,3.6523239997904877,"B     3"]
[null,1.7,50,11.368708859598026,9.6687088595980271,38,33.987700185556122,40.6,235.38532362169357,4.5316933580741496,3.6253546864593198,"C     4"]
[null,1.7,50,11.338444483894902,9.6384444838949026,38,33.819141977236342,40.299999999999997,234.81032304936784,4.5092189302981787,3.6073751442385436,"C#   5"]
[]
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[null,"A convenient graph below indicates FW targets, Max FW Ceiling and Strike Weights. Further, any real-world changes made to the tan boxes in the Hammer Column are instantly reflected in the graph as they impact SW and FW."]
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[null,null,null,null,null,null,228,"  mm max  "]
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[null,null,null,null,178,"useful range"]
[]
[]
[null,null,null,null,null,null,null,null,null,330]
[]
[null,"Support"]
[]
[null,null,null,null,null,null,"e.g. 170 mm"]
[]
[]
[]
[null,null,null,null,null,null,null,"Target BW"]
[null,null,null,null,"indicates sharps",null,null,38]
[null,null,null,"UW","DW","Friction","BW","Target BW","Change to FW","Measured FW","FW max.",178]
[null,null,null,null,null,null,null,null,null,null,null,1.2808988764044944]
[null,null,1,30,55,12.5,42.5,38,4.5,null,41.3,5.7640449438202248]
[null,null,2,20,46,13,33,38,-5,null,41.1,-6.404494382022472]
[null,null,3,22,52,15,37,38,-1,null,40.799999999999997,-1.2808988764044944]
[null,null,4,24,54,15,39,38,1,null,40.6,1.2808988764044944]
[null,null,5,20,42,11,31,38,-7,null,40.299999999999997,-8.9662921348314608]
[]
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[]
[null,null,1.3333333333333333,null,1.8947368421052631,0.52777777777777779,null,"Enter Lead gm -->>",null,15,null,50]
[null,null,{"$f":"'[8]Simple AR Calculator'!E221","v":0},{"$f":"'[8]Simple AR Calculator'!G245","v":0},2,{"$f":"1/E214","v":0.5},null,null,null,"LEADS",null,null,"LEADS"]
[null,null,"WHITE KEYS",null,null,null,null,null,null,{"$f":"D217/2","v":164},{"$f":"D217*5/8","v":205},{"$f":"D217*(1/C213)","v":246},"Respective Positions"]
[null,null,"Note","F mm","R mm","SW","HAM","Inertia","DW Tar.","Center","Fr. 3rd","Fr. 4TH","Ctr mm","3rd mm","4th mm"]
[null,null,"A     1",328,164,9.0582705928710308,7.4582705928710311,464.59199097029375,53,3.4254220456802376,2.8925786163522011,2.0918018316230826,164,205,246]
[null,null,"B     3",327.05769230769232,163.52884615384616,8.9968653912445689,7.3968653912445692,459.10788166028681,53,3.3747765640516385,2.8498113207547173,2.0580381772040166,163.52884615384616,204.41105769230771,245.29326923076923]
[null,null,"C     4",326.11538461538464,163.05769230769232,8.9723033105939809,7.3723033105939813,455.34573628474277,53,3.3545183714001987,2.832704402515724,2.0445327154363895,163.05769230769232,203.82211538461542,244.58653846153848]
[null,null,"D     6",325.17307692307696,162.58653846153848,8.910898108967519,7.3108981089675193,449.931987289917,53,3.3038728897715979,2.7899371069182388,2.0107690610173221,162.58653846153848,203.23317307692309,243.87980769230774]
[null,null,"E     8",324.23076923076928,162.11538461538464,8.8372118670157658,7.2372118670157661,444.00392526209913,53,3.2430983118172789,2.7386163522012583,1.9702526757144445,162.11538461538464,202.6442307692308,243.17307692307696]
[null,null,"F     9",323.2884615384616,161.6442307692308,8.8126497863651778,7.2126497863651782,440.32578847272674,53,3.2228401191658378,2.7215094339622632,1.9567472139468161,161.6442307692308,202.05528846153851,242.46634615384619]
[null,null,"G    11",322.34615384615392,161.17307692307696,8.7512445847387159,7.1512445847387163,435.02475282163238,53,3.1721946375372387,2.6787421383647798,1.92298355952775,161.17307692307696,201.46634615384619,241.75961538461544]
[null,null,"A     13",321.40384615384625,160.70192307692312,8.9334457655828476,7.333445765582848,440.56471827254779,52,3.4487854251012142,2.9123076923076923,2.1120557804768332,160.70192307692312,200.8774038461539,241.0528846153847]
[null,null,"B    15",320.46153846153857,160.23076923076928,8.8708596946943388,7.2708596946943391,435.22715768985171,52,3.3971659919028343,2.8687179487179493,2.0776428250112455,160.23076923076928,200.2884615384616,240.34615384615392]
[null,null,"C    16",319.51923076923089,159.75961538461544,8.8333080521612306,7.233308052161231,431.02661557954121,52,3.3661943319838046,2.842564102564102,2.0569950517318931,159.75961538461544,199.69951923076931,239.63942307692315]
[null,null,"D    18",318.57692307692321,159.2884615384616,8.7707219812727217,7.1707219812727221,425.76237775951097,52,3.3145748987854264,2.7989743589743608,2.0225820962663064,159.2884615384616,199.11057692307702,238.93269230769241]
[null,null,"E     20",317.63461538461553,158.81730769230776,8.695618696206509,7.0956186962065093,419.9957569125815,52,3.2526315789473679,2.746666666666667,1.9812865497076018,158.81730769230776,198.5216346153847,238.22596153846166]
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[null,null,"Below are several readout columns, the data of which is source data for the graphs page. "]
[null,null,"These columns appear on the Simple AR Calculator page in the full program. "]

{"sheet":"Concert Keys","index":16,"n_rows":273,"n_cols":64,"rows_kept":273,"cut":false,"hidden":true,"merged":[[37,8,37,10],[11,1,11,5],[24,1,24,6],[26,1,26,6],[27,1,27,6],[22,10,22,14],[36,6,36,7],[37,11,37,13],[34,6,34,7],[35,6,35,7],[95,23,95,31],[101,2,101,7],[99,8,99,10],[38,1,38,7],[99,11,99,13],[101,11,101,13],[101,8,101,10],[38,11,38,13],[2,2,2,5],[2,6,2,9],[2,11,2,14],[10,11,10,14],[7,3,7,6],[9,3,9,6],[10,1,10,9],[233,2,233,7],[231,6,231,14],[98,3,98,11],[148,10,148,12],[149,7,149,8],[148,7,148,8],[147,2,150,2],[148,13,148,15],[149,13,149,15],[147,3,147,9]]}
[]
[]
[null,null,"FW = (SW * AR) + (WW * KR) - BW",null,null,null,"SW = (((BW + FW) - (WW * KR)) / AR) ",null,null,null,null,"BW = (SW * AR) + (WW * KR) - FW"]
[null,"Sro","Wro ","SS I shank","So","Ham","Wo ","Si","Ko","Wi","Rots Avg","Isw","SW","AR","KR","WW",12,"Fr 3rd Fac"]
[{"$f":"Compare!L24","v":50},{"$f":"'Simple AR Calculator'!C26","v":7.6470588235294121},{"$f":"'Simple AR Calculator'!C25","v":1.472},{"$f":"(0.0035 * E6^2)/3","v":1.971666666666667E-5},{"$f":"'Simple AR Calculator'!D11/1000","v":0.13756816492197604},{"$f":"'Simple AR Calculator'!H12","v":8.7381435385711921},{"$f":"'Simple AR Calculator'!E9/1000","v":9.3521213902840961E-2},{"$f":"'Simple AR Calculator'!F16/1000","v":1.9537539455580014E-2},{"$f":"'Simple AR Calculator'!D7/1000","v":0.13038404810405296},{"$f":"'Simple AR Calculator'!D10/1000","v":6.6258961658027818E-2},{"$f":"'Simple AR Calculator'!#REF!","v":{"$error":"#REF!"}},{"$f":"(Z41/1000*$E$5^2) + $D$5","v":2.231311430462654E-4},{"$f":"'Simple AR Calculator'!H12","v":8.7381435385711921},{"$f":"'Simple AR Calculator'!C46","v":5.7220392156862747},{"$f":"'Simple AR Calculator'!C24","v":0.5083333333333333},{"$f":"'Key Leads'!F60","v":17},0,{"$f":"'Key Leads'!L59","v":1.6}]
[{"$f":"'Key Leads'!M71","v":12},"friction",null,null,{"$f":"'Simple AR Calculator'!C11/1000","v":0.13},null,null,null,null,null,{"$f":"K5^2","v":{"$error":"#REF!"}},null,null,null,{"$f":"1/O5","v":1.9672131147540985},null,null,{"$f":"1/R5","v":0.625}]
[null,null,null,null,null,null,null,null,null,null,{"$f":"K6*L5*10000","v":{"$error":"#REF!"}}]
[null,null,null,"BW = (SW * AR) + (WW * KR) - FW",null,null,null,null,{"$f":"(M5 * N5) + (P5 * O5) -W41","v":20.641666666666659},null,"Inertia =","Isw*(Wo/Si * Ko/Wi)^2"]
[null,null,null,null,null,null,null,"BW =",{"$f":"'Key Leads'!J86","v":38.000000000000007},null,"Isw = (Ham * So^2) + SS"]
[null,null,null,"FW = (SW * AR) + (WW * KR) - BW"]
[null,"Wf = (((((SW * Sro * Wro) + WW) * KR + F) - DW) * KR^ -1) / 14.2",null,null,null,null,null,null,null,null,null,"SW = (((BW + FW) - (WW * KR)) / AR) "]
[null,"THE CONCERT GRAND KEYS WS"]
[]
[]
[null,null,10]
[null,2,null,null,null,null,null,3.4747688585500724]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"R25-J29","v":290}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Comment",null,null,{"$f":"R26-J29","v":252}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"R20-R21","v":38}]
[null,"Enter Front length of Key # 1 Key Input here -->> ",null,null,null,null,null,324,324,{"$f":"H23","v":324},"Summary White Keys",null,null,null,null,null,null,{"$f":"R22/36","v":1.0555555555555556}]
[null,"Enter Rear length of Key # 1 Key Output MAR-type here -->> ",null,null,null,null,null,171,{"$f":"Compare!E26","v":122},null,"Note #","SW","Hammer","Inertia","Leads "]
[null,"Enter Front length of key # 88 Key Input here -->>",null,null,null,null,null,282,{"$f":"C92","v":282.80769230769164},{"$f":"H25","v":282},1,{"$f":"Y41","v":12.348453177257527},{"$f":"Z41","v":10.748453177257527},{"$f":"AA41","v":315.09410694424309},{"$f":"AB41","v":4.1767640769779062},null,null,{"$f":"H26","v":290}]
[null,"Key # 2 (Sharp) Key Input MAR  type dimension mm --> ",null,null,null,null,"see draw",290,{"$f":"H26+ABS(I23-H23)","v":290},{"$f":"J23-J25","v":42},20,{"$f":"Y52","v":11.334828526783266},{"$f":"Z52","v":9.7348285267832662},{"$f":"AA52","v":273.59229638488085},{"$f":"AB52","v":3.3499643620812547},null,null,{"$f":"H28","v":252}]
[null,"Key # 2 (Sharp) Key Output MAR-type dimension mm -->> ",null,null,null,null,null,138,{"$f":"H27-(ABS(I23-H23))","v":138},{"$f":"J26/52","v":0.80769230769230771},27,{"$f":"Y56","v":10.950350211086135},{"$f":"Z56","v":9.3503502110861358},{"$f":"AA56","v":258.92276026403107},{"$f":"AB56","v":3.036350677120458}]
[null,"Key # 86 (Sharp) Key Input MAR type dimension mm -->>",null,null,null,null,null,252,{"$f":"H28+ABS(I23-H23)","v":252},null,40,{"$f":"Y64","v":10.111488431383298},{"$f":"Z64","v":8.5114884313832988},{"$f":"AA64","v":229.2887671680659},{"$f":"AB64","v":2.352102637205987}]
[null,null,null,null,null,null,null,{"$f":"H26/H27","v":2.1014492753623188},{"$f":"I26/I27","v":2.1014492753623188},null,49,{"$f":"Y69","v":9.5172946707604602},{"$f":"Z69","v":7.9172946707604606},{"$f":"AA69","v":210.14837523873763},{"$f":"AB69","v":1.867426942266573}]
[null,null,null,null,null,null,null,{"$f":"1/H29","v":0.47586206896551725},{"$f":"1/I29","v":0.47586206896551725},null,61,{"$f":"Y76","v":8.468717446131917},{"$f":"Z76","v":6.8687174461319174},{"$f":"AA76","v":180.04886507022175},{"$f":"AB76","v":1.0121168923734867},null,null,{"$f":"R25-R26","v":38}]
[null,null,null,null,null,null,null,{"$f":"H23/H24","v":1.8947368421052631},{"$f":"I23/I24","v":2.6557377049180326},null,88,{"$f":"Y92","v":5.8822269587148428},{"$f":"Z92","v":4.2822269587148423},{"$f":"AA92","v":114.37404100849301},{"$f":"AB92","v":-1.0976478973627934},null,null,{"$f":"R30/36","v":1.0555555555555556}]
[null,null,null,null,null,null,null,null,0,null,"Averages",{"$f":"AVERAGE(L25:L31)","v":9.8019084888739201},{"$f":"AVERAGE(M25:M31)","v":8.2019084888739222},{"$f":"AVERAGE(N25:N31)","v":225.92417315409622},{"$f":"AVERAGE(O25:O31)","v":2.099582527237553},null,null,null,null,null,{"$f":"I29","v":2.1014492753623188}]
[null,null,null,null,null,null,null,null,{"$f":"H27+I35","v":138},null,null,null,null,null,null,null,null,null,null,null,{"$f":"I30","v":0.47586206896551725}]
[null,null,3]
[null,{"$f":"D38","v":1.8947368421052631},2,null,null,null,"Capstan Move --->>",null,0]
[null,{"$f":"C41/J39","v":1.6},1.6,null,null,null,"Whippen SW -->>",null,{"$f":"Compare!C24","v":17},null,null,null,null,"MAR"]
[null,{"$f":"1 / ((C41/4)*3/C41)","v":1.3333333333333333},1.33,{"$f":"'Simple AR Calculator'!C23","v":1.9672131147540985},{"$f":"'Simple AR Calculator'!C24","v":0.5083333333333333},null,"Enter Lead gm -->>",null,13.8,null,{"$f":"'Simple AR Calculator'!A6","v":50},null,null,{"$f":"N5","v":5.7220392156862747}]
[null,{"$f":"'Simple AR Calculator'!D47","v":8.7237763272550826},{"$f":"'Simple AR Calculator'!F74","v":17.909074533776597},1.8947368421052631,{"$f":"1/D38","v":0.52777777777777779},null,null,null,"LEADS",null,null,"LEADS"]
[null,"WHITE KEYS",null,null,null,null,null,null,{"$f":"$C$41/2","v":162},{"$f":"$C$41/C36","v":202.5},{"$f":"$C$41/C37","v":243.60902255639095},"Respective Positions",null,null,null,null,null,null,null,null,null,null,"why prorata?"]
[null,"Note","F mm","R mm","SW","HAM","Inertia","DW Tar.","Center","Fr. 3rd","Fr. 4TH","Ctr mm","3rd mm","4th mm","Proof","Tangent","Key Ang.","KSRO","RO^2","Note","FW Max","Adj FWM","BW","DW Tar.","SW","HAM","INERT","LEADS",null,"Isw","Note","Front mm","Rear mm","Proof","Tangent","Key Ang.","KSRO","RO^2","FW Max","FW Adj","BW","DW Tar.","SW","HAM","INERT","LEADS",null,"Isw",null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$C$41/3","v":108}]
[{"$f":"C41/D41","v":1.8947368421052631},"A     1",324,{"$f":"IF($I$35<>0,C41*$E$37,C41*$E$38)","v":171},{"$f":"((((W41 + U41) - ($I$36 * $O$5)) / $N$5))","v":12.348453177257523},{"$f":"E41-1.6","v":10.748453177257524},{"$f":"($AD41*$S41) * 10000","v":315.09410694424309},50,{"$f":"(V41*$C$35) / $I$37","v":5.9855072463768106},{"$f":"(V41*$C$36)/$I$37","v":4.7884057971014489},{"$f":"(V41*$C$37) / $I$37","v":3.9803623188405797},{"$f":"$C$41/2","v":162},{"$f":"$C$41*(1/$B$36)","v":202.5},{"$f":"$C$41*(1/$B$37)","v":243},{"$f":"C41/D41","v":1.8947368421052631},{"$f":"$B$38/C41","v":2.6925235577947786E-2},{"$f":"DEGREES(ATAN(P41))","v":1.5423297196487364},{"$f":"$C$38/Q41","v":11.611702935903592},{"$f":"R41^2","v":134.83164507167211},"A     1",41.3,{"$f":"U41 - (X41 - $A$5)","v":41.3},{"$f":"H41-$A$6","v":38},{"$f":"H41","v":50},{"$f":"(((($I$9 + U41) - ($I$36 * $O$5)) / $N$5))","v":12.348453177257527},{"$f":"Y41-1.6","v":10.748453177257527},{"$f":"($AD41*$S41) * 10000","v":315.09410694424309},{"$f":"(((((Y41 * $B$5 * $C$5) + $P$5) * $O$5 +$Q$5) - X41) * $O$6) / $I$37","v":4.1767640769779062},{"$f":"(((((Y41 * $B$5 * $C$5) + $P$5) * $O$5 +$Q$5) - X41) * $R$5) / $I$37","v":3.3971014492753637},{"$f":"(Y41/1000 * $E$5^2)","v":2.3369447637959869E-4},"A#   2",{"$f":"I25","v":282.80769230769164},{"$f":"AF41*$I$30","v":134.57745358090153},{"$f":"AF41/AG41","v":2.1014492753623188},{"$f":"$B$38/AF41","v":3.0847026316963511E-2},{"$f":"DEGREES(ATAN(AI41))","v":1.7668441535610633},{"$f":"$C$38/AJ41","v":10.136193674852969},{"$f":"AK41^2","v":102.74242221412933},41.1,{"$f":"AM41 - (AP41 - $A$5)","v":41.1},{"$f":"H104-$A$6","v":38},{"$f":"H104","v":50},{"$f":"(((($I$9 + AM41) - ($P$5 * $O$5)) / $N$5))","v":12.313500603103241},{"$f":"AQ41-1.6","v":10.713500603103242},{"$f":"(AV41*AL41) * 10000","v":239.42374764219073},{"$f":"((((((AQ41 * $B$5 * $C$5) + $P$5) * $H$30 +$Q$5) - AP41) *$H$29))  / $I$37","v":3.6618908412270477},{"$f":"(((((((AQ41*$B$5*$C$5)+$P$5)*$H$30+$Q$5)-AP41)*$H$29))*$R$6)/ $I$37","v":2.2886817757669049},{"$f":"(AQ41/1000 * $E$5^2)","v":2.3303299891372885E-4},null,null,41.3,null,"A     1",null,53,50,null,41.1,null,"A#   2",null,"Note","Center"]
[null,"B     3",{"$f":"C41-$J$27","v":323.19230769230768},{"$f":"IF($I$35<>0,C42*$E$37,C42*$E$38)","v":170.57371794871796},{"$f":"((((W42 + U42) - ($I$36 * $O$5)) / $N$5))","v":12.226119167717528},{"$f":"E42-1.6","v":10.626119167717528},{"$f":"($AD42*$S42) * 10000","v":310.41979413566787},50,{"$f":"(V42*$C$35) / $I$37","v":5.8840579710144922},{"$f":"(V42*$C$36)/$I$37","v":4.7072463768115949},{"$f":"(V42*$C$37) / $I$37","v":3.9128985507246377},{"$f":"$C$41/2","v":162},{"$f":"$C$41*(1/$B$36)","v":202.5},{"$f":"$C$41*(1/$B$37)","v":243},1.8947368421052631,{"$f":"$B$38/C42","v":2.6992524635086536E-2},{"$f":"DEGREES(ATAN(P42))","v":1.5461822986467009},{"$f":"$C$38/Q42","v":11.582770381895815},{"$f":"R42^2","v":134.1605697197229},"B     3",40.6,{"$f":"U42 - (X42 - $A$5)","v":40.6},{"$f":"H42-$A$6","v":38},{"$f":"H42","v":50},{"$f":"(((($I$9 + U42) - ($I$36 * $O$5)) / $N$5))","v":12.226119167717529},{"$f":"Y42-1.6","v":10.62611916771753},{"$f":"(AD42*S42) * 10000","v":310.41979413566787},4.0769779044903798,3.3159420289855084,{"$f":"(Y42/1000 * $E$5^2)","v":2.3137930524905426E-4},"C#   5",{"$f":"AF41-$R$23","v":281.7521367521361},{"$f":"AF42*$U$33","v":134.07515473032683},{"$f":"AF42/AG42","v":2.1014492753623188},{"$f":"$B$38/AF42","v":3.0962591545240316E-2},{"$f":"DEGREES(ATAN(AI42))","v":1.7734592352801777},{"$f":"$C$38/AJ42","v":10.098385222227707},{"$f":"AK42^2","v":101.97738409650694},40.299999999999997,{"$f":"AM42 - (AP42 - $A$5)","v":40.299999999999997},{"$f":"H105-$A$6","v":38},{"$f":"H105","v":50},{"$f":"(((($I$9 + AM42) - ($P$5 * $O$5)) / $N$5))","v":12.173690306486103},{"$f":"AQ42-1.6","v":10.573690306486103},{"$f":"(AV42*AL42) * 10000","v":234.94272670953441},3.5478495012413043,2.2174059382758151,{"$f":"(AQ42/1000 * $E$5^2)","v":2.3038708905024952E-4},null,null,40.6,null,"C     4",null,53,50,null,40.299999999999997,null,"C#   5",null,"A     1",{"$f":"(((((E41 * $B$5 * $C$5) + $P$5) * $O$5 +$Q$5) - H41) * $C$34) / $I$37","v":6.3695652173913038},6.9870000000000001]
[null,"C     4",{"$f":"C42-$J$27","v":322.38461538461536},{"$f":"IF($I$35<>0,C43*$E$37,C43*$E$38)","v":170.14743589743588},12.138737732331816,10.538737732331816,{"$f":"($AD43*$S43) * 10000","v":306.6634052324938},50,5.8115942028985508,4.649275362318841,3.8647101449275363,162,202.5,243,1.8947368421052631,2.7060150860013382E-2,1.5500541678159092,11.553837862976897,133.49116936395853,"C     4",40.1,40.1,38,50,12.138737732331817,10.538737732331818,306.6634052324938,4.0057020669992891,3.2579710144927545,2.2972561158437964E-4,"D#   7",280.69658119658055,133.57285587975213,2.1014492753623188,3.1079025936356346E-2,1.7801240210133065,10.060576860022454,101.21520675641926,39.799999999999997,39.799999999999997,38,50,12.086308871100391,10.486308871100391,231.5129790604876,3.4765736637502109,2.1728585398438818,{"$f":"(AQ43/1000 * $E$5^2)","v":2.287333953855749E-4},null,null,40.1,null,"D     6",null,53,50,null,39.799999999999997,null,"D#   7",null,"B     3",6.2173913043478244,6.9359999999999991]
[null,"D     6",321.57692307692304,169.72115384615384,11.998927435714677,10.398927435714677,301.61508046056673,50,5.695652173913043,4.5565217391304342,3.7876086956521737,162,202.5,243,1.8947368421052631,2.7128116793282163E-2,1.5539454723655035,11.524905379411024,132.82344400437717,"D     6",39.299999999999997,39.299999999999997,38,50,11.998927435714679,10.398927435714679,301.61508046056673,3.8916607270135444,3.1652173913043491,2.2707970172090031E-4,"F#   10",279.64102564102501,133.07055702917742,2.1014492753623188,3.1196339332747937E-2,1.7868390728852215,10.022768589260078,100.45589019385845,39,39,38,50,11.94649857448325,10.346498574483251,227.11819619813193,3.3625323237644658,2.1015827023527911,{"$f":"(AQ44/1000 * $E$5^2)","v":2.2608748552209554E-4},null,null,39.299999999999997,null,"F     9",null,53,50,null,39,null,"F#   10",null,"C     4",6.1086956521739113,6.9020000000000001]
[null,"E     8",320.76923076923072,169.29487179487177,11.911546000328965,10.311546000328965,297.91713683600676,50,5.6231884057971007,4.4985507246376812,3.7394202898550724,162,202.5,243,1.8947368421052631,2.7196425001035033E-2,1.5578563589653711,11.495972931465044,132.15739364097701,"E     8",38.799999999999997,38.799999999999997,38,50,11.911546000328967,10.311546000328967,297.91713683600676,3.8203848895224515,3.1072463768115939,2.254260080562257E-4,"G#  12",278.58547008546947,132.56825817860272,2.1014492753623188,3.1314541726022702E-2,1.7936049615264116,9.9849604109789247,99.699434408816415,38.5,38.5,38,50,11.859117139097538,10.259117139097539,223.75922110410892,3.2912564862733769,2.0570353039208604,2.2443379185742093E-4,null,null,38.799999999999997,null,"G    11",null,53,50,null,38.5,null,"G#  12",null,"D     6",5.9347826086956514,6.8509999999999991]
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[128,"G#    60",264.66666666666697,125.94482758620704,8.8531957618290473,7.2531957618290477,142.7013625746969,50,3.0869565217391304,2.4695652173913047,2.052826086956522,132.33333333333348,165.41666666666686,198.99749373433605,null,null,48,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,47,50,null,null,null,null,null,null,null,0.629]
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[130,"C#     65",262.55555555555588,124.94022988505763,8.3813360107462032,6.7813360107462035,132.89101939366384,50,2.6956521739130435,2.1565217391304352,1.7926086956521741,131.27777777777794,164.09722222222243,197.41019214703448,null,null,48]
[131,"D#     67",261.50000000000034,124.43793103448293,8.1716205658204935,6.5716205658204938,128.49776940501567,50,2.5217391304347823,2.017391304347826,1.6769565217391302,130.75000000000017,163.43750000000023,196.6165413533837,null,null,48]
[132,"F#     70",260.4444444444448,123.93563218390821,7.8395711113547888,6.2395711113547883,122.25588837743472,50,2.2463768115942027,1.7971014492753623,1.4938405797101451,130.2222222222224,162.777777777778,195.82289055973291,null,null,48]
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[134,"A#     74",258.33333333333371,122.9310344827588,7.4026639344262293,5.8026639344262296,113.52732382271356,50,1.8840579710144927,1.5072463768115942,1.2528985507246375,129.16666666666686,161.45833333333357,194.23558897243134,null,null,47]
[135,"C#     77",257.27777777777817,122.4287356321841,7.0531381928833818,5.4531381928833813,107.26037349990952,50,1.5942028985507246,1.2753623188405798,1.0601449275362318,128.63888888888908,160.79861111111137,193.44193817878056,null,null,47]
[136,"D#     79",256.22222222222263,121.9264367816094,6.8084701738033884,5.2084701738033878,102.6681082558611,50,1.3913043478260869,1.1130434782608694,0.92521739130434788,128.11111111111131,160.13888888888914,192.64828738512978,null,null,47]
[137,"F#     82",255.16666666666708,121.42413793103468,6.4589444322605409,4.8589444322605413,96.574198025368148,50,1.1014492753623186,0.88115942028985506,0.73246376811594205,127.58333333333354,159.47916666666691,191.85463659147899,null,null,47]
[138,"G#    84",254.11111111111154,120.92183908045997,6.2317527002576893,4.6317527002576888,92.386308541800645,50,0.91304347826086951,0.73043478260869565,0.60717391304347823,127.05555555555577,158.81944444444471,191.06098579782821,null,null,46]
[139,"A#     86",253.055555555556,120.41954022988527,6.0045609682548386,4.4045609682548381,88.259339014206716,50,0.72463768115942029,0.57971014492753625,0.48188405797101447,126.527777777778,158.15972222222251,190.26733500417743]
[]
[null,"Averages",{"$f":"AVERAGE(C104:C139)","v":271.527777777778},{"$f":"AVERAGE(D104:D139)","v":129.20977011494264},{"$f":"AVERAGE(E104:E139)","v":9.7270101156861699},{"$f":"AVERAGE(F104:F139)","v":8.1270101156861667},{"$f":"AVERAGE(G104:G139)","v":168.10857921110852},50,3.8115942028985512,3.04927536231884,2.5347101449275362,135.763888888889,169.70486111111126,204.15622389306617]
[]
[]
[]
[]
[]
[]
[null,2,"Shank radii weights below","WHITE KEYS"]
[null,1.6,null,"Enter Whip Radius Weight -->",null,null,17,"Enter Std. Lead -->",null,13.8,"LEADS",null,null,"LEADS"]
[null,1.33,null,"Enter a typical friction target -->",null,null,12,"Enter KIW -->>",null,0,{"$f":"I39","v":162},{"$f":"J39","v":202.5},{"$f":"K39","v":243.60902255639095},"Respective Positions"]
[null,"Note",null,"DW","SW","Hammer","BW","FW ","FW Max","Inertia","Center","Fr. 3rd","Fr. 4TH","Ctr mm","3rd mm","4th mm",null,null,null,null,"Isw"]
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[null,"B     3",1.6,{"$f":"G153+$G$150","v":50},11.340729528535981,9.7407295285359812,38,35.533765763440869,40.799999999999997,{"$f":"(S42*U153) * 10000","v":287.93985052033838},{"$f":"(((((E153 * $B$5 * $C$5) + $G$149) * $O$5 +$G$150) - D153) * $B$148) / $J$149","v":5.1498211251363575},{"$f":"(((((E153 * $B$5 * $C$5) + $G$149) * $O$5 +$G$150) - D153) * $B$149) / $J$149","v":4.1198569001090863},{"$f":"(((((E153 * $B$5 * $C$5) + $G$149) * $O$5 +$G$150) - D153) * $B$150) / $J$149","v":3.4246310482156779},{"$f":"$C$41/2","v":162},{"$f":"$C$41*(1/$B$36)","v":202.5},{"$f":"$C$41*(1/$B$37)","v":243},null,null,null,null,2.1462330632754346E-4]
[null,"C     4",1.6,50,11.265431761786601,9.6654317617866017,38,35.102908989247311,40.6,284.60089851699377,5.087378114383668,4.0699024915069346,3.3831064460651397,162,202.5,243,null,null,null,null,2.1319829609181144E-4]
[null,"D     6",1.6,50,11.144955334987593,9.5449553349875931,38,34.413538150537633,40.1,280.14892315177076,4.987469297179369,3.9899754377434951,3.3166670826242806,162,202.5,243,null,null,null,null,2.1091827971464022E-4]
[null,"E     8",1.6,50,11.069657568238213,9.4696575682382136,38,33.98268137634409,39.5,276.86084479659348,4.9250262864266796,3.9400210291413438,3.2751424804737419,162,202.5,243,null,null,null,null,2.094932694789082E-4]
[null,"F     9",1.6,50,10.994359801488834,9.3943598014888341,38,33.551824602150532,39.299999999999997,273.59523414851589,4.8625832756739902,3.8900666205391921,3.2336178783232037,162,202.5,243,null,null,null,null,2.0806825924317619E-4]
[null,"G    11",1.6,50,10.919062034739452,9.3190620347394528,38,33.120967827956974,38.799999999999997,270.3520196009336,4.8001402649213007,3.8401122119370403,3.1920932761726646,162,202.5,243,null,null,null,null,2.0664324900744415E-4]
[null,"A     13",1.6,50,10.873883374689825,9.2738833746898255,38,32.862453763440854,38.299999999999997,267.87309984416225,4.7626744584696867,3.8101395667757494,3.1671785148823419,162,202.5,243,null,null,null,null,2.0578824286600494E-4]
[null,"B    15",1.6,50,10.798585607940446,9.198585607940446,38,32.431596989247311,37.799999999999997,264.67070435360159,4.7002314477170009,3.7601851581736012,3.1256539127318059,162,202.5,243,null,null,null,null,2.0436323263027295E-4]
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[]
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[]
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[null,null,"SHARP KEYS"]
[null,null,"Sk.RadWt","DW","SW","Hammer","BW ","FW ","FW Max","Inertia","CENTER","FR 3rd","FR 4th","Ctr mm","3rd mm","4th mm"]
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[null,"A#   26",1.6,50,10.437156327543425,8.8371563275434255,38,30.363484473118291,34.6,188.08310815874933,3.7676186732440233,3.0140949385952189,2.5054664177072761,139.72222222222229,174.65277777777786,210.10860484544705,null,null,null,null,null,null,1.9752318349875933E-4]
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[null,"F#    34",1.6,50,10.060667493796528,8.460667493796528,38,28.209200602150545,32.1,177.1084708799205,3.4753472605632685,2.7802778084506148,2.3111059282745736,138.13888888888897,172.6736111111112,207.72765246449467,null,null,null,null,null,null,1.9039813232009931E-4]
[null,"G#   36",1.6,50,9.9552506203473996,8.3552506203474,38,27.606001118279607,31.4,173.88141886118115,3.39351126501266,2.7148090120101283,2.2566849912334188,137.6111111111112,172.013888888889,206.93400167084388,null,null,null,null,null,null,1.8840311799007454E-4]
[null,"A#    38",1.6,50,9.8498337468982626,8.249833746898263,38,27.002801634408598,30.7,170.68874090759206,3.311675269462043,2.6493402155696346,2.2022640541922587,137.08333333333343,171.3541666666668,206.1403508771931,null,null,null,null,null,null,1.8640810366004961E-4]
[null,"C#   41",1.6,50,9.6841786600496285,8.0841786600496288,38,26.0549167311828,29.6,166.49462415724668,3.183075847882511,2.5464606783060089,2.1167454388418698,136.55555555555566,170.69444444444457,205.34670008354232,null,null,null,null,null,null,1.8327308114143921E-4]
[null,"D#   43",1.6,50,9.5787617866004986,7.978761786600499,38,25.451717247311841,28.9,163.37838036525554,3.1012398523319007,2.4809918818655206,2.0623245018007141,136.02777777777789,170.03472222222234,204.55304928989153,null,null,null,null,null,null,1.8127806681141444E-4]
[null,"F#   46",1.6,50,9.3980471464019857,7.798047146401986,38,24.417660989247317,27.7,159.02187076777562,2.9609495742451362,2.3687596593961091,1.9690314668730158,135.50000000000011,169.37500000000014,203.75939849624075,null,null,null,null,null,null,1.7785804224565758E-4]
[null,"G#   48",1.6,50,9.2775707196029789,7.6775707196029792,38,23.728290150537639,26.9,155.73049432036672,2.867422722187293,2.2939381777498347,1.9068361102545501,134.97222222222234,168.71527777777794,202.96574770258997,null,null,null,null,null,null,{"$f":"((E255/1000)*$E$5^2)","v":1.7557802586848638E-4}]
[null,"A#    50 ",1.6,50,9.1420347394540951,7.5420347394540954,38,22.952747956989249,26,152.22585374613101,2.762205013622224,2.2097640108977794,1.836866334058779,134.44444444444457,168.05555555555571,202.17209690893918,null,null,null,null,null,null,1.7301300744416875E-4]
[null,"C#    53",1.6,50,8.946260545905707,7.3462605459057073,38,21.832520344086021,24.7,147.76757829093984,2.6102238790282293,2.0881791032225832,1.7357988795537724,133.9166666666668,167.39583333333348,201.3784461152884,null,null,null,null,null,null,1.6930798083126551E-4]
[null,"D#    55",1.6,50,8.8107245657568232,7.2107245657568235,38,21.056978150537631,23.8,144.35342311042729,2.5050061704631559,2.0040049363705248,1.6658291033579986,133.38888888888903,166.73611111111128,200.58479532163761,null,null,null,null,null,null,1.6674296240694791E-4]
[null,"F#    58",1.6,50,8.5848312655086865,6.9848312655086868,38,19.764407827957001,22.3,139.51173643784929,2.3296433228547042,1.8637146582837636,1.5492128096983784,132.86111111111126,166.07638888888908,199.79114452798683,null,null,null,null,null,null,1.6246793169975192E-4]
[null,"G#    60",1.6,50,8.4342357320099257,6.8342357320099261,38,18.902694279569893,21.3,135.94830201578603,2.2127347577823984,1.7701878062259191,1.471468613925295,132.33333333333348,165.41666666666686,198.99749373433605,null,null,null,null,null,null,1.5961791122828784E-4]
[null,"A#     62",1.6,50,8.2685806451612898,6.6685806451612901,38,17.95480937634408,20.2,132.18845472225914,2.0841353362028667,1.6673082689622933,1.3859499985749064,131.80555555555571,164.75694444444463,198.20384294068526,null,null,null,null,null,null,1.5648288870967743E-4]
[null,"C#     65",1.6,50,8.0276277915632761,6.4276277915632765,38,16.576067698924739,18.600000000000001,127.28276723018186,1.8970816320871837,1.5176653056697471,1.2615592853379771,131.27777777777794,164.09722222222243,197.41019214703448,null,null,null,null,null,null,1.5192285595533501E-4]
[null,"D#     67",1.6,50,7.846913151364765,6.2469131513647653,38,15.542011440860222,17.399999999999999,123.39178361789389,1.7567913540004192,1.4054330832003357,1.168266250410279,130.75000000000017,163.43750000000023,196.6165413533837,null,null,null,null,null,null,1.4850283138957818E-4]
[null,"F#     70",1.6,50,7.5607816377171222,5.9607816377171225,38,13.904755698924738,15.5,117.9082455937008,1.5346650803630453,1.2277320642904361,1.0205522784414252,130.2222222222224,162.777777777778,195.82289055973291,null,null,null,null,null,null,1.4308779249379655E-4]
[null,"G#    72",1.6,50,7.3800669975186111,5.7800669975186114,38,12.870699440860221,14.3,114.1334167138249,1.3943748022762819,1.1154998418210256,0.92725924351372746,129.69444444444463,162.11805555555577,195.02923976608213,null,null,null,null,null,null,1.3966776792803974E-4]
[null,"A#     74",1.6,50,7.1842928039702247,5.5842928039702251,38,11.750471827957,13,110.17838210924204,1.2423936676822891,0.99391493414583132,0.82619178900872225,129.16666666666686,161.45833333333357,194.23558897243134,null,null,null,null,null,null,1.359627413151365E-4]
[null,"C#     77",1.6,50,6.883101736972705,5.2831017369727054,38,10.027044731182798,11,104.67454953463083,1.0085765375376827,0.8068612300301462,0.67070339746255903,128.63888888888908,160.79861111111137,193.44193817878056,null,null,null,null,null,null,1.3026270037220844E-4]
[null,"D#     79",1.6,50,6.6722679900744435,5.0722679900744438,38,8.8206457634408721,9.6,100.61425178196886,0.84490454643646062,0.67592363714916859,0.56186152338024631,128.11111111111131,160.13888888888914,192.64828738512978,null,null,null,null,null,null,1.2627267171215885E-4]
[null,"F#     82",1.6,50,6.3710769230769237,4.7710769230769241,38,7.0972186666666701,7.6,95.2604021999217,0.61108741629185526,0.48886993303348425,0.4063731318340838,127.58333333333354,159.47916666666691,191.85463659147899,null,null,null,null,null,null,1.2057263076923079E-4]
[null,"G#    84",1.6,50,6.1753027295285357,4.575302729528536,38,5.9769910537634416,6.3,91.549432519306421,0.4591062816978605,0.36728502535828844,0.30530567732907726,127.05555555555577,158.81944444444471,191.06098579782821,null,null,null,null,null,null,1.1686760415632754E-4]
[null,"A#     86",1.6,50,5.9795285359801493,4.3795285359801497,38,4.8567634408602203,5,87.891394390417815,0.30712514710386773,0.24570011768309422,0.20423822282407203,126.527777777778,158.15972222222251,190.26733500417743,null,null,null,null,null,null,1.1316257754342434E-4]
[]
[null,null,null,null,{"$f":"AVERAGE(E236:E271)","v":9.1872133995037242},{"$f":"AVERAGE(F236:F271)","v":7.5872133995037228},null,null,null,{"$f":"AVERAGE(J236:J271)","v":158.56605992271366},{"$f":"AVERAGE(K236:K271)","v":2.7972775831439125},2.2378220665151307,1.8601895927907017,135.763888888889,169.70486111111126,204.15622389306617]

{"sheet":"Balance Weight","index":17,"n_rows":200,"n_cols":28,"rows_kept":200,"cut":false,"hidden":true,"merged":[[1,1,1,5],[3,9,3,11],[27,1,27,11],[26,1,26,11],[9,5,9,9],[1,11,1,13],[157,6,157,7],[7,12,7,15],[8,1,8,9],[37,14,37,20],[42,14,42,15],[43,14,43,15],[30,1,30,5],[30,6,30,8],[28,1,28,11],[35,6,35,7],[36,6,36,7],[34,2,34,4],[34,1,37,1],[35,2,35,5]]}
[]
[null,"SW = (((BW + FW) - (WW * KR)) / AR) ",null,null,null,null,null,null,null,null,"Inertia =","Iham*(Wo/Si * Ko/Wi)^2      =",null,null,{"$f":"O3*(E4/F4 * G4/H4)^2","v":1.8215618052186883E-2}]
[null,"shank","So","Ham","Wo ","Si","Ko","Wi","Rots Avg",null,null,null,null,"iham =",{"$f":"D4*C4^2","v":2.0530697637959866E-4},"KR"]
[null,{"$f":"'Key Leads'!D133","v":2.2533333333333333E-5},{"$f":"'Key Leads'!E133","v":0.13756816492197604},{"$f":"'Key Leads'!F133","v":1.0848453177257524E-2},{"$f":"'Key Leads'!G133","v":9.3521213902840961E-2},{"$f":"'Key Leads'!H133","v":1.9537539455580014E-2},{"$f":"'Key Leads'!I133","v":0.13038404810405296},{"$f":"'Key Leads'!J133","v":6.6258961658027818E-2},{"$f":"'Key Leads'!K133","v":8.5991837903387491},"Isw = (SW * So^2) + SS",null,null,null,null,null,{"$f":"'Key Leads'!Q86","v":0.5083333333333333}]
[null,null,{"$f":"'Key Leads'!E134","v":0.13},null,null,null,null,null,{"$f":"I4^2","v":73.945961860024696}]
[null,null,null,null,null,null,null,"Rots avg.>",{"$f":"'Key Leads'!K135","v":8.5991837903387509},{"$f":"'Key Leads'!L135","v":{"$error":"#REF!"}}]
[null,{"$f":"'Key Leads'!N56","v":240},{"$f":"'Key Leads'!H69","v":122},{"$f":"'Key Leads'!N59","v":150},null,null,null,null,null,null,null,null,"#Lds = (Ld_tot - KIW_fac) / Std. Ld,"]
[null,{"$f":"B7/2","v":120},null,null,null,null,null,null,null,null,null,null,"FW * (Ki / Kfac) e.g. 250/160 or 250/125"]
[null,"Wf = (((((SW * Sro * Wro) + WW) * KR + F) - DW) * KR^ -1) / 14.2",null,null,null,null,null,null,null,null,null,null,"Prac. Pos  = (L_total_req * Ctr_mm) / (Lds_on_hand * rounded(#ctr_Lds)) "]
[null,"FW = (SW * AR) + (WW * KR) - BW",null,null,null,"SW = (((BW + FW) - (WW * KR)) / AR) "]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"TRY DIFFERENT BW, FRICTION, ENTER ACTUAL HAMMER WEIGHTS"]
[null,"Enter Your Own Set of Hammer Weights and Try Different Balance Weights (BW) "]
[null,"Each Hammer in Your Set Should Be Arced, Tailed, Tapered, Weighed and Entered in the Hammer Column"]
[]
[null,"Note # to Hammer Weight Summary for Action ",null,null,null,null,{"$f":"'Simple AR Calculator'!C6","v":"Standard Action"}]
[null,"Note -->>","A 1","  E 20","A# 26","B27","C 40","A 49","A 61","C 88","Inert. Avg","MAR"]
[null,"Ham gms",{"$f":"E39","v":10.343213717857337},{"$f":"E58","v":9.5468193157519607},{"$f":"E64","v":9.2542662700805955},{"$f":"E65","v":9.2055074291353698},{"$f":"E78","v":8.5066307089204454},{"$f":"E87","v":7.9215246175777185},{"$f":"E99","v":7.0113595866001432},{"$f":"E126","v":4.232105652722189},{"$f":"I128","v":131.35372429173705},{"$f":"'Simple AR Calculator'!H7","v":5.7220392156862747}]
[]
[null,"Shank radii weights below","Enter Whip Radius Weight -->",null,null,17,null,null,null,null,null,null,{"$f":"I37*(B7/C7)","v":0},{"$f":"I37*(B7/D7)","v":0}]
[null,null,"Click button for trial BW -->>",null,null,null,"Enter Std. Lead -->",null,13.8,"Ctr. mm @","Fr. 3rd"]
[null,null,"Enter a typical friction target -->",null,null,12,"Enter KIW -->>",null,0,{"$f":"'Key Leads'!K144","v":120},{"$f":"'Key Leads'!L144","v":150}]
[null,null,"DW","SW","Hammer","BW","FW ","FW Max","Inertia","# of Lds","# of Lds","Note","Tot. Ld. Ms.","Tot. Ld. Ms.","Front Weight, Strike Weight RO, and Balance Weight"]
[{"$f":"G39/H39","v":0.85736077481840178},1.5,{"$f":"F39+$F$37","v":53},{"$f":"E39+B39","v":11.843213717857337},10.343213717857337,41,{"$f":"((D39*$L$33) +($F$35*$P$4)-F39) + $I$37","v":35.408999999999992},41.3,{"$f":"(((D39/1000*$C$4^2)*$I$4^2))*10000","v":165.73716930494138},{"$f":"(M39 - $M$35*2) / $I$36","v":5.1317391304347808},{"$f":"(N39 - $N$35*2) / $I$36","v":4.1053913043478252},"A     1",{"$f":"G39*($B$7/$B$8)","v":70.817999999999984},{"$f":"G39*($B$7/$D$7)","v":56.654399999999988},"FW = (SW * AR) + (WW * KR) - BW",null,null,null,"AR = BW + FW - (WW * KR)",null,null,null,{"$f":"(M39*$J$37)/($I$36*ROUND(J39,0))","v":123.16173913043475},{"$f":"ROUND(J39,0)","v":5},{"$f":"(N39*$K$37)/($I$36*ROUND(K39,0))","v":153.95217391304342},{"$f":"ROUND(K39,0)","v":4},null,"Note   SW  FW_max"]
[{"$f":"G40/H40","v":0.85700729927007324},1.5,{"$f":"F40+$F$37","v":53},{"$f":"E40+B40","v":11.810707823893855},10.310707823893855,41,{"$f":"((D40*$L$33) +($F$35*$P$4)-F40) + $I$37","v":35.223000000000013},41.1,{"$f":"(((D40/1000*$C$4^2)*$I$4^2))*10000","v":165.28227294154041},{"$f":"(M40 - $M$35*2) / $I$36","v":5.104782608695654},4.083826086956523,"A#   2",{"$f":"G40*($B$7/$B$8)","v":70.446000000000026},56.356800000000021,"SW =",{"$f":"D39","v":11.843213717857337},"grams",null,null,"SW",null,null,122.51478260869571,5,153.14347826086964,4,null,{"$f":"L39 &\"         \"&ROUND(D39,1)&\"      \"&ROUND(H39,1)","v":"A     1         11.8      41.3"}]
[0.85647058823529421,1.5,53,11.761948982948626,10.261948982948626,41,34.944000000000003,40.799999999999997,164.59992839643883,5.0643478260869568,4.0514782608695654,"B     3",69.888000000000005,55.91040000000001,"FW =",{"$f":"((P40*L33) + (F35 * P4)) - F39 + I37","v":35.408999999999992},"grams",{"$f":"P41/1000","v":3.5408999999999989E-2},null,null,null,null,121.54434782608698,5,151.9304347826087,4,null,{"$f":"L40 &\"         \"&ROUND(D40,1)&\"      \"&ROUND(H40,1)","v":"A#   2         11.8      41.1"}]
[0.8561083743842367,1.5,53,11.729443088985143,10.229443088985143,41,34.75800000000001,40.6,164.14503203303781,5.0373913043478273,4.0299130434782624,"C     4",69.51600000000002,55.612800000000021,"Click 2 cells below for FW max values",null,null,null,"SW =",{"$f":"P40","v":11.843213717857337},null,null,120.89739130434785,5,151.12173913043483,4,null,"B     3         11.8      40.8"]
[0.85555831265508686,1.5,53,11.680684248039913,10.180684248039913,41,34.478999999999999,40.299999999999997,163.46268748793622,4.9969565217391301,3.9975652173913043,"C#   5",68.957999999999998,55.166400000000003,"Note    SW  FW_max",null,null,null,"BW =",{"$f":"F39","v":41},null,null,119.92695652173911,5,149.90869565217392,4,null,"C     4         11.7      40.6"]
[0.85518703241895278,1.5,53,11.64817835407643,10.14817835407643,41,34.293000000000006,40.1,163.0077911245352,4.9700000000000006,3.9760000000000009,"D     6",68.586000000000013,54.868800000000014,"A     1         12.8      41.3",null,null,null,"FW =",{"$f":"P41","v":35.408999999999992},null,null,119.28000000000002,5,149.10000000000002,4,null,"C#   5         11.7      40.3"]
[0.85462311557788939,1.5,53,11.599419513131201,10.099419513131201,41,34.013999999999996,39.799999999999997,162.32544657943362,4.9295652173913034,3.9436521739130428,"D#   7",68.027999999999992,54.422399999999996,null,null,null,null,"WW =",{"$f":"F35","v":17},null,null,118.30956521739128,5,147.88695652173911,4,null,{"$f":"L44 &\"         \"&ROUND(D44,1)&\"         \"&ROUND(H44,1)","v":"D     6         11.6         40.1"}]
[0.85405063291139238,1.5,53,11.550660672185975,10.050660672185975,41,33.734999999999999,39.5,161.64310203433209,4.8891304347826088,3.9113043478260865,"E     8",67.47,53.975999999999999,null,null,null,null,"KR = ",{"$f":"P4","v":0.5083333333333333},null,null,117.3391304347826,5,146.67391304347825,4,null,{"$f":"L45 &\"         \"&ROUND(D45,1)&\"         \"&ROUND(H45,1)","v":"D#   7         11.6         39.8"}]
[0.85366412213740483,1.5,53,11.518154778222492,10.018154778222492,41,33.549000000000007,39.299999999999997,161.18820567093107,4.8621739130434793,3.889739130434783,"F     9",67.098000000000013,53.678400000000011,null,null,null,null,"AR = ",{"$f":"((T43+T44) - (T45 * T46)) /P40","v":5.7220392156862747},null,null,116.6921739130435,5,145.86521739130438,4,null,{"$f":"L46 &\"         \"&ROUND(D46,1)&\"         \"&ROUND(H46,1)","v":"E     8         11.6         39.5"}]
[0.85307692307692329,1.5,53,11.469395937277264,9.9693959372772643,41,33.27000000000001,39,160.50586112582951,4.8217391304347839,3.8573913043478272,"F#   10",66.54000000000002,53.232000000000021,"BW = (SW * AR) + (WW * KR) - FW",null,null,null,"BW =",{"$f":"(P40*T47)+(T45*T46)-T44","v":41},null,null,115.72173913043483,5,144.65217391304353,4,null,{"$f":"L47 &\"         \"&ROUND(D47,1)&\"       \"&ROUND(H47,1)","v":"F     9         11.5       39.3"}]
[0.85268041237113412,1.5,53,11.436890043313779,9.9368900433137792,41,33.084000000000003,38.799999999999997,160.05096476242849,4.7947826086956526,3.8358260869565224,"G    11",66.168000000000006,52.934400000000011,null,null,null,null,"UW =",{"$f":"T48*2 -C39","v":29},null,null,115.07478260869566,5,143.84347826086957,4,null,{"$f":"L48 &\"        \"&ROUND(D48,1)&\"       \"&ROUND(H48,1)","v":"F#   10        11.5       39"}]
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[1.034712041884817,1.5,48,8.2350594879105223,6.7350594879105223,36,19.763000000000005,19.100000000000001,115.24367296742649,2.8642028985507251,2.2913623188405805,"C       64",39.52600000000001,31.62080000000001,null,null,null,null,null,null,null,null,114.568115942029,3,171.85217391304354,2,null,"B       63         8.3      19.7"]
[1.0375268817204302,1.5,48,8.1537947530018098,6.6537947530018098,36,{"$f":"((D103*$L$33) +($F$35*$P$4)-F103) + $I$37","v":19.298000000000002},18.600000000000001,114.10643205892389,{"$f":"(M103 - $M$35*2) / $I$36","v":2.7968115942028988},{"$f":"(N103 - $N$35*2) / $I$36","v":2.237449275362319},"C#     65",38.596000000000004,{"$f":"G103*($B$7/$D$7)","v":30.876800000000003},null,null,null,null,null,null,null,null,{"$f":"(M103*$J$37)/($I$36*ROUND(J103,0))","v":111.87246376811594},{"$f":"ROUND(J103,0)","v":3},{"$f":"(N103*$K$37)/($I$36*ROUND(K103,0))","v":167.80869565217392},{"$f":"ROUND(K103,0)","v":2},null,"C       64         8.2      19.1"]
[{"$f":"G104/H104","v":1.0411111111111113},1.5,{"$f":"F104+$F$37","v":48},{"$f":"E104+B104","v":8.0562770711113547},6.5562770711113547,36,18.740000000000002,18,{"$f":"(((D104/1000*$C$4^2)*$I$4^2))*10000","v":112.74174296872079},2.7159420289855074,2.1727536231884059,"D       66",{"$f":"G104*($B$7/$B$8)","v":37.480000000000004},29.984000000000005,null,null,null,null,null,null,null,null,108.63768115942028,3,162.95652173913044,2,null,"C#     65         8.2      18.6"]
[1.0449425287356324,1.5,48,7.9587593892209005,6.4587593892209005,36,18.182000000000002,17.399999999999999,111.3770538785177,2.635072463768116,2.1080579710144929,"D#     67",36.364000000000004,29.091200000000004,null,null,null,null,null,null,null,null,105.40289855072463,3,158.10434782608695,2,null,{"$f":"L104 &\"         \"&ROUND(D104,1)&\"      \"&ROUND(H104,1)","v":"D       66         8.1      18"}]
[1.0490476190476192,1.5,48,7.8612417073304464,6.3612417073304464,36,17.624000000000002,16.8,110.01236478831458,2.554202898550725,2.0433623188405803,"E       68",35.248000000000005,28.198400000000007,null,null,null,null,null,null,null,null,102.16811594202898,3,153.25217391304352,2,null,"D#     67         8      17.4"]
[1.0534567901234571,1.5,48,7.7637240254399913,6.2637240254399913,36,17.066000000000003,16.2,108.64767569811146,2.4733333333333336,1.978666666666667,"F       69",34.132000000000005,27.305600000000005,null,null,null,null,null,null,null,null,148.4,2,148.4,2,null,"E       68         7.9      16.8"]
[1.0590322580645162,1.5,48,7.6499533965677937,6.1499533965677937,36,16.414999999999999,15.5,107.05553842620783,2.3789855072463766,1.9031884057971014,"F#     70",32.83,26.263999999999999,null,null,null,null,null,null,null,null,142.7391304347826,2,142.7391304347826,2,null,"F       69         7.8      16.2"]
[1.0642281879194631,1.5,48,7.5524357146773395,6.0524357146773395,36,15.856999999999999,14.9,105.69084933600475,2.2981159420289852,1.8384927536231885,"G      71",31.713999999999999,25.371200000000002,null,null,null,null,null,null,null,null,137.88695652173911,2,137.88695652173914,2,null,"F#     70         7.6      15.5"]
[1.0698601398601397,1.5,48,7.4549180327868854,5.9549180327868854,36,15.298999999999999,14.3,104.32616024580163,2.2172463768115942,1.7737971014492753,"G#    72",30.597999999999999,24.478400000000001,null,null,null,null,null,null,null,null,133.03478260869565,2,133.03478260869565,2,null,"G      71         7.6      14.9"]
[1.1505882352941175,1.5,47,7.3411474039146878,5.8411474039146878,35,15.647999999999996,13.6,102.73402297389799,2.267826086956521,1.8142608695652169,"A       73",31.295999999999992,25.036799999999996,null,null,null,null,null,null,null,null,136.06956521739127,2,136.06956521739127,2,null,"G#    72         7.5      14.3"]
[1.160769230769231,1.5,47,7.2436297220242345,5.7436297220242345,35,15.090000000000003,13,101.36933388369491,2.1869565217391309,1.7495652173913046,"A#     74",30.180000000000007,24.144000000000005,null,null,null,null,null,null,null,null,131.21739130434784,2,131.21739130434784,2,null,"A       73         7.3      13.6"]
[1.1739024390243902,1.5,47,7.1298590931520369,5.6298590931520369,35,14.439,12.3,99.777196611791283,2.0926086956521739,1.6740869565217393,"B      75",28.878,23.102400000000003,null,null,null,null,null,null,null,null,125.55652173913043,2,125.55652173913045,2,null,"A#     74         7.2      13"]
[1.1886206896551721,1.5,47,7.0160884642798393,5.5160884642798393,35,13.787999999999997,11.6,98.185059339887644,1.9982608695652169,1.5986086956521737,"C      76",27.575999999999993,22.060799999999997,null,null,null,null,null,null,null,null,119.89565217391301,2,119.89565217391302,2,null,"B      75         7.1      12.3"]
[1.2027272727272731,1.5,47,6.9185707823893861,5.4185707823893861,35,13.230000000000004,11,96.82037024968453,1.9173913043478266,1.5339130434782613,"C#     77",26.460000000000008,21.168000000000006,null,null,null,null,null,null,null,null,{"$f":"IF(J115>1,(M115*$J$37)/($I$36*ROUND(J115,0)),M115*$J$37)/($I$36*J115)","v":4.3478260869565215},2,115.04347826086959,2,null,"C      76         7      11.6"]
[1.2212621359223301,1.5,47,6.8048001535171885,5.3048001535171885,35,12.579000000000001,10.3,95.22823297778092,1.8230434782608695,1.4584347826086959,"D       78",25.158000000000001,20.126400000000004,null,null,null,null,null,null,null,null,4.3478260869565215,2,218.76521739130436,1,null,"C#     77         6.9      11"]
[1.2424999999999997,1.5,47,6.6910295246449909,5.1910295246449909,35,11.927999999999997,9.6,93.636095705877281,1.7286956521739125,1.3829565217391302,"D#     79",23.855999999999995,19.084799999999998,null,null,null,null,null,null,null,null,4.3478260869565215,2,207.44347826086954,1,null,"D       78         6.8      10.3"]
[1.2633333333333339,1.5,47,6.5935118427545376,5.0935118427545376,35,11.370000000000005,9,92.271406615674209,1.6478260869565222,1.3182608695652178,"E       80",22.740000000000009,18.192000000000007,null,null,null,null,null,null,null,null,4.3478260869565215,2,197.73913043478268,1,null,"D#     79         6.7      9.6"]
[1.2914457831325301,1.5,47,6.47974121388234,4.97974121388234,35,10.719000000000001,8.3000000000000007,90.679269343770571,1.5534782608695654,1.2427826086956522,"F       81",21.438000000000002,17.150400000000001,null,null,null,null,null,null,null,null,4.3478260869565224,2,186.41739130434786,1,null,"E       80         6.6      9"]
[1.324736842105263,1.5,47,6.3659705850101425,4.8659705850101425,35,10.067999999999998,7.6,89.087132071866932,1.4591304347826084,1.1673043478260867,"F#     82",20.135999999999996,16.108799999999999,null,null,null,null,null,null,null,null,8.695652173913043,1,175.09565217391301,1,null,"F       81         6.5      8.3"]
[1.3585714285714283,1.5,47,6.2684529031196883,4.7684529031196883,35,9.509999999999998,7,87.722442981663846,1.378260869565217,1.1026086956521737,"G      83 ",19.019999999999996,15.215999999999998,null,null,null,null,null,null,null,null,8.6956521739130448,1,165.39130434782606,1,null,"F#     82         6.4      7.6"]
[1.4061904761904764,1.5,47,6.1546822742474916,4.6546822742474916,35,8.8590000000000018,6.3,86.130305709760208,1.2839130434782611,1.0271304347826089,"G#    84",17.718000000000004,14.174400000000004,null,null,null,null,null,null,null,null,8.695652173913043,1,154.06956521739136,1,null,"G      83          6.3      7"]
[1.6442857142857141,1.5,46,6.040911645375294,4.540911645375294,34,9.2079999999999984,5.6,84.538168437856584,1.3344927536231881,1.0675942028985506,"A       85",18.415999999999997,14.732799999999997,null,null,null,null,null,null,null,null,8.695652173913043,1,160.13913043478257,1,null,"G#    84         6.2      6.3"]
[1.7299999999999998,1.5,46,5.9433939634848398,4.4433939634848398,34,8.6499999999999986,5,83.173479347653483,1.2536231884057969,1.0028985507246375,"A#     86",17.299999999999997,13.839999999999998,null,null,null,null,null,null,null,null,8.6956521739130412,1,150.4347826086956,1,null,"A       85         6      5.6"]
[1.8602325581395356,1.5,46,5.829623334612644,4.329623334612644,34,7.9990000000000023,4.3,81.581342075749859,1.1592753623188408,0.92742028985507274,"B       87",15.998000000000005,12.798400000000004,null,null,null,null,null,null,null,null,8.6956521739130448,1,139.11304347826092,1,null,"A#     86         5.9      5"]
[2.0110810810810817,1.5,46,5.732105652722189,4.232105652722189,34,7.4410000000000025,3.7,80.216652985546745,1.0784057971014496,0.8627246376811597,"C       88",14.882000000000005,11.905600000000005,null,null,null,null,null,null,null,null,8.695652173913043,1,129.40869565217398,1,null,"B       87         5.8      4.3"]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"SUM(M39:M126)/1000","v":4.3176260000000006},{"$f":"SUM(N39:N126)/1000","v":3.4541008000000026},null,null,null,null,null,null,null,null,{"$error":"#DIV/0!"},0,null,null,null,"C       88         5.7      3.7"]
[{"$f":"SUM(A39:A126)","v":89.157331095864762},null,null,{"$f":"AVERAGE(D39:D126)","v":9.386248334924165},{"$f":"AVERAGE(E39:E126)","v":7.886248334924165},null,null,null,{"$f":"AVERAGE(I39:I126)","v":131.35372429173705},{"$f":"AVERAGE(J39:J127)","v":3.5553573781291181},{"$f":"AVERAGE(K39:K126)","v":2.8442859025032941},null,"kgs","kgs"]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M127*2.2","v":9.4987772000000028},{"$f":"N127*2.2","v":7.5990217600000065}]
[]
[]
[]
[]
[]
[]
[]
[]
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[]
[]
[]
[]
[]
[]
[]
[]
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[]
[null,null,null,null,null,95,null,null,null,null,null,210]
[]
[]
[]
[]
[]
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[]
[null,null,null,null,null,null,null,null,{"$f":"I158*(P161/P162)","v":0},"Ctr. mm @","Fr. 3rd","MAR"]
[null,null,null,null,null,null,"Enter KIW -->>",null,0,{"$f":"L149/2","v":105},{"$f":"L149*0.67","v":140.70000000000002},{"$f":"P168","v":5.0922128851540611}]
[null,"Sk.RadWt","DW","SW","Hammer","BW ","FW ","FW Max","Inertia","# of Lds","# of Lds","Note"]
["A#   2",1.6,{"$f":"F160+$F$37","v":53},{"$f":"E160+B160","v":11.910707823893855},{"$f":"E40","v":10.310707823893855},{"$f":"F40","v":41},{"$f":"((D160*$P$168) +($F$35*$P$165)-F160) +$I$158","v":27.342336042613766},41.1,{"$f":"(((D160/1000*$C$4^2 + $B$4)*$I$4^2))*10000","v":183.34419034220028},{"$f":"(M160 - $I$157*2) / $I$36","v":3.9626573974802559},{"$f":"(N160 - $I$157*2) / $I$36","v":3.1701259179842047},"A#   2",{"$f":"G160*($P$161/$P$162)","v":54.684672085227533},{"$f":"G160*($B$7/$D$7)","v":43.747737668182026},null,{"$f":"F149","v":95}]
["C#   5",1.6,{"$f":"F161+$F$37","v":53},{"$f":"E161+B161","v":11.780684248039913},{"$f":"E43","v":10.180684248039913},{"$f":"F43","v":41},{"$f":"((D161*$P$168) +($F$35*$P$165)-F161) +$I$158","v":26.680228314276519},40.299999999999997,{"$f":"(((D161/1000*$C$4^2 + $B$4)*$I$4^2))*10000","v":181.52460488859612},{"$f":"(M161 - $I$157*2) / $I$36","v":3.8666997556922489},{"$f":"(N161 - $I$157*2) / $I$36","v":3.0933598045537996},"C#   5",{"$f":"G161*($P$161/$P$162)","v":53.360456628553038},{"$f":"G161*($B$7/$D$7)","v":42.688365302842435},null,{"$f":"L149","v":210}]
["D#   7",1.6,53,11.6994195131312,{"$f":"E45","v":10.099419513131201},{"$f":"F45","v":41},26.266410984065743,39.799999999999997,180.38736398009348,3.8067262295747453,3.0453809836597965,"D#   7",52.532821968131486,42.026257574505195,null,{"$f":"P161/2","v":105}]
["F#   10",1.6,53,11.569395937277264,{"$f":"E48","v":9.9693959372772643},{"$f":"F48","v":41},25.604303255728524,39,178.56777852648938,3.7107685877867427,2.968614870229394,"F#   10",51.208606511457049,40.966885209165639]
["G#  12",1.6,53,11.488131202368551,{"$f":"E50","v":9.8881312023685517},{"$f":"F50","v":41},25.190485925517748,38.5,177.43053761798677,3.6507950616692386,2.9206360493353909,"G#  12",50.380971851035497,40.304777480828399,null,{"$f":"P161/P160","v":2.2105263157894739}]
["A#   14",1.6,52,11.406866467459839,{"$f":"E52","v":9.8068664674598391},{"$f":"F52","v":40},25.776668595306973,38,176.29329670948417,3.7357490717836188,2.9885992574268956,"A#   14",51.553337190613945,41.24266975249116,null,{"$f":"1/P164","v":0.45238095238095233},"Kro"]
["C#  17",1.6,52,11.276842891605899,{"$f":"E55","v":9.6768428916058991},{"$f":"F55","v":40},25.114560866969725,37.200000000000003,174.47371125588006,3.6397914299956122,2.91183314399649,"C#  17",50.229121733939451,40.183297387151562,null,{"$f":"'Simple AR Calculator'!C25","v":1.472}]
["D#  19",1.6,52,11.195578156697186,{"$f":"E57","v":9.5955781566971865},{"$f":"F57","v":40},24.700743536758949,36.700000000000003,173.33647034737746,3.5798179038781086,2.8638543231024869,"D#  19",49.401487073517899,39.521189658814322,null,{"$f":"'Simple AR Calculator'!C26","v":7.6470588235294121}]
["F#   22",1.6,52,11.049301633861505,{"$f":"E60","v":9.4493016338615057},{"$f":"F60","v":40},23.955872342379564,35.799999999999997,171.28943671207281,3.4149497280655114,2.7774924454932828,"F#   22",{"$f":"G168*($B$7/$C$7)","v":47.126306247304058},38.329395747807304,null,{"$f":"P165*P166*P167","v":5.0922128851540611},"Aro"]
["G#  24",1.6,52,10.951783951971052,{"$f":"E62","v":9.3517839519710524},{"$f":"F62","v":40},23.459291546126643,35.200000000000003,169.9247476218697,3.3441613037956723,2.7199178604204803,"G#  24",46.14942599238028,37.53486647380263]
["A#   26",1.6,51,10.854266270080595,{"$f":"E64","v":9.2542662700805955},{"$f":"F64","v":39},23.962710749873708,34.6,168.56005853166656,3.4159245545080119,2.7782853043331834,"A#   26",47.139758852210569,38.340337199797936]
["C#   29",1.6,51,10.707989747244916,{"$f":"E67","v":9.1079897472449165},{"$f":"F67","v":39},23.217839555494329,33.700000000000003,166.51302489636197,3.3097419181032541,2.6919234267239798,"C#   29",45.674438469824906,37.148543288790925]
["D#    31",1.6,51,10.594219118372717,{"$f":"E69","v":8.9942191183727171},{"$f":"F69","v":39},22.638495293199234,33,164.92088762445832,3.2271554231217725,2.6247530774723749,"D#    31",44.53474483908046,36.221592469118775]
["F#    34",1.6,51,10.447942595537038,{"$f":"E72","v":8.8479425955370381},{"$f":"F72","v":39},21.893624098819856,32.1,162.87385398915367,3.1209727867170143,2.5383911998631716,"F#    34",43.069424456694797,35.029798558111771]
["G#   36",1.6,51,10.334171966664838,{"$f":"E74","v":8.7341719666648387},{"$f":"F74","v":39},21.314279836524761,31.4,161.28171671725002,3.0383862917355327,2.4712208506115667,"G#   36",41.929730825950351,34.102847738439621]
["A#    38",1.6,50,10.220401337792643,{"$f":"E76","v":8.6204013377926429},{"$f":"F76","v":38},21.734935574229688,30.7,159.6895794453464,3.0983514717362346,2.5199925303454709,"A#    38",42.757250309960043,34.775896918767501]
["C#   41",1.6,50,10.041618920993477,{"$f":"E79","v":8.4416189209934771},{"$f":"F79","v":38},20.824537447765991,29.6,157.18764944664073,2.9685726939081953,2.4144391243786654,"C#   41",40.966303175933099,33.319259916425587]
["D#   43",1.6,50,9.9278482921212774,{"$f":"E81","v":8.3278482921212778},{"$f":"F81","v":38},20.245193185470896,28.9,155.59551217473708,2.8859861989267133,2.3472687751270604,"D#   43",39.826609545188646,32.392309096753436]
["F#   46",1.6,50,9.732812928340369,{"$f":"E84","v":8.1328129283403694},{"$f":"F84","v":38},19.252031592965047,27.7,152.86613399433085,2.7444093503870342,2.2321196049814547,"F#   46",37.872849035341076,30.803250548744074]
["G#   48",1.6,50,9.602789352486429,{"$f":"E86","v":8.0027893524864293},{"$f":"F86","v":38},18.589923864627806,26.9,151.04654854072672,2.6500247846939136,2.1553534915510499,"G#   48",36.570342028776011,29.74387818340449]
["A#    50 ",1.6,49,9.4565128296507481,{"$f":"E88","v":7.8565128296507485},{"$f":"F88","v":37},18.845052670248421,26,148.99951490542205,2.6863938232713358,2.1849336429273531,"A#    50 ",37.072234761144436,30.152084272397474]
["C#    53",1.6,49,9.2452245188880973,{"$f":"E91","v":7.6452245188880976},{"$f":"F91","v":37},17.769127611700412,24.7,146.04268854331534,2.5330189040200159,2.0601887086029462,"C#    53",34.955660875476219,28.43060417872066]
["D#    55",1.6,49,9.0989479960524147,{"$f":"E93","v":7.498947996052415},{"$f":"F93","v":37},17.02425641732102,23.8,143.99565490801066,2.4268362676152555,1.9738268309937412,"D#    55",33.490340493090528,27.238810267713632]
["F#    58",1.6,49,8.8551537913262788,{"$f":"E96","v":7.2551537913262791},{"$f":"F96","v":37},15.782804426688706,22.3,140.58393218250291,2.2498652069406564,1.8298903683117342,"F#    58",31.048139855781059,25.252487082701933]
["G#    60",1.6,49,8.6926243215088537,{"$f":"E98","v":7.092624321508854},{"$f":"F98","v":37},14.955169766267154,21.3,138.3094503654977,2.1318844998242557,1.7339327265237281,"G#    60",29.420006097574728,23.928271626027449]
["A#     62",1.6,48,8.5138419047096878,{"$f":"E100","v":6.9138419047096882},{"$f":"F100","v":36},15.044771639803457,20.2,135.80752036679203,2.1446573969783973,1.7443213495424299,"A#     62",29.596272078301883,24.071634623685533]
["C#     65",1.6,48,8.2537947530018094,{"$f":"E103","v":6.6537947530018098},{"$f":"F103","v":36},13.720556183128984,18.600000000000001,132.16834945958377,1.9558882655921572,1.5907891226816213,"C#     65",26.99125806517177,21.952889893006375]
["D#     67",1.6,48,8.0587593892209011,{"$f":"E105","v":6.4587593892209005},{"$f":"F105","v":36},12.727394590623135,17.399999999999999,129.43897127917757,1.8143114170524779,1.4756399525360155,"D#     67",25.037497555324197,20.363831344997017]
["F#     70",1.6,48,{"$f":"E188+B188","v":7.7499533965677934},{"$f":"E108","v":6.1499533965677937},{"$f":"F108","v":36},11.15488873582219,15.5,125.1174558268677,1.5901480735313172,1.2933204331388046,"F#     70",21.944043414732178,17.847821977315505]
["G#    72",1.6,48,7.554918032786885,{"$f":"E110","v":5.9549180327868854},{"$f":"F110","v":36},10.161727143316334,14.3,122.38807764646148,1.4485712249916369,1.1781712629931982,"G#    72",19.990282904884591,16.258763429306136]
["A#     74",1.6,47,7.3436297220242341,{"$f":"E112","v":5.7436297220242345},{"$f":"F112","v":35},10.085802084768332,13,119.43125128435476,1.4377479807224993,1.1693683576542993,"A#     74",19.840922133970491,16.137283335629331]
["C#     77",1.6,47,7.0185707823893857,{"$f":"E115","v":5.4185707823893861},{"$f":"F115","v":35},8.4305327639252425,11,114.88228765034442,1.2017865664896994,0.97745307407828896,"C#     77",16.584654617557852,13.488852422280388]
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["F#     82",1.6,47,6.4659705850101421,{"$f":"E120","v":4.8659705850101425},{"$f":"F120","v":35},5.6165749184919775,7.6,107.1490494725268,0.80065216229393821,0.65119709199906983,"F#     82",11.048999839656348,8.9865198695871644]
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[]
[null,null,null,{"$f":"AVERAGE(D160:D195)","v":9.5052716705959721},{"$f":"AVERAGE(E160:E195)","v":7.9052716705959734},null,null,null,{"$f":"AVERAGE(I160:I195)","v":149.68185945052358},{"$f":"AVERAGE(J160:J195)","v":2.608715237534053},{"$f":"AVERAGE(K160:K195)","v":2.1106613541433039},null,{"$f":"SUM(M160:M195)/1000","v":1.2960097300069175},{"$f":"SUM(N160:N195)/1000","v":1.0485765607383934}]
[null,null,null,null,null,null,null,null,null,null,null,null,"kgs","kgs"]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M197*2.2","v":2.851221406015219},{"$f":"N197*2.2","v":2.3068684336244658}]
[null,null,null,null,null,null,null,null,null,null,null,null,"lb","lb"]

{"sheet":"FW Adjust","index":18,"n_rows":127,"n_cols":65,"rows_kept":127,"cut":false,"hidden":true,"merged":[[111,1,111,3],[9,1,9,3],[11,5,11,6],[12,5,12,6],[109,1,109,3],[13,5,13,7]]}
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"H12 -(H13/2)","v":228},"  mm max  ",null,null,null,null,null,null,null,null,null,null,{"$f":"M4","v":228},"  mm max  ",null,null,null,null,null,null,null,null,null,null,null,{"$f":"M4","v":228},"  mm max  ",null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M4","v":228},"  mm max  "]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M4-50","v":178},"useful range",null,null,null,null,null,null,null,null,null,null,{"$f":"M7","v":178},"useful range",null,null,null,null,null,null,null,null,null,null,null,{"$f":"M7","v":178},"useful range",null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M7","v":178},"useful range"]
[]
[]
[null,"www.gravagne.com/FWA.doc",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,330]
[]
[null,"READ COMMENT HERE FOR INSTRUCTIONS ",null,null,null,"Enter Fromt Key Length mm -->",null,236,null,null,"Support",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"`"]
[null,null,null,null,null,"Test Weight Diameter -->",null,16]
[null,null,null,null,null,"Optional -- Click for leads detail",null,null,null,null,null,null,"e.g 170 mm"]
[null,null,null,null,null,"Target BW"]
[null,null,"indicates sharps",null,null,{"$f":"'Balance Weight'!F39","v":41},null,null,null,null,null,null,null,null,null,null,"mm as measured from balance hole to lead or leads positions ---- >>> "]
[null,"UW","DW","Friction","BW","Target BW","Change to FW","Measured FW","FW max.",{"$f":"M7","v":178},{"$f":"M7-4","v":174},{"$f":"K17-4","v":170},{"$f":"L17-4","v":166},162,158,154,150,146,142,138,134,130,126,122,118,114,110,106,102,98,94,90,86,82,78,74,70,66,62,58,54,50,46,{"$f":"AQ17-4","v":42},38,34,30,26,22,18,14,{"$f":"AY17-4","v":10},6,2,-2,-6,-10,-14,-18,-22,-26,-30,-34,-38,-42]
[null,"       enter here",null,null,null,null,null,"enter here",null,{"$f":"1/(M7/M4)","v":1.2808988764044944},{"$f":"1/(($M$7 - 2)/$M$4)","v":1.2954545454545456},{"$f":"1/((L17 - 2)/$M$4)","v":1.3571428571428572},1.3902439024390243,1.425,1.4615384615384615,1.5,1.5405405405405406,1.5833333333333335,1.6285714285714286,1.6764705882352942,1.7272727272727273,1.78125,1.8387096774193548,1.9000000000000001,1.9655172413793103,2.035714285714286,2.1111111111111112,2.1923076923076925,2.2800000000000002,2.375,2.4782608695652177,2.5909090909090913,2.7142857142857144,2.85,3,3.166666666666667,3.3529411764705883,3.5625,3.8000000000000003,4.0714285714285721,4.384615384615385,4.75,5.1818181818181825,{"$f":"1/((AR17 - 2)/$M$4)","v":5.7},6.3333333333333339,7.125,8.1428571428571441,9.5,11.4,14.25,19,28.5,57,{"$error":"#DIV/0!"},-57,-28.5,-19,-14.25,-11.4,-9.5,-8.1428571428571441,-7.125,-6.3333333333333339,-5.7,-5.1818181818181825]
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[]
[]
[" ",null,null,null,"Lead Width","Weight"]
[null,"Enter lead width and weight -->>",null,null,0.45,15]
[null,null,"Go to link below for details.",null,{"$f":"E110-0.02","v":0.43},{"$f":"(F110*E111)/E110","v":14.333333333333334}]
[null,"www.gravagne.com/FWA.doc",null,null,{"$f":"E111-0.02","v":0.41},{"$f":"(F111*E112)/E111","v":13.666666666666668}]
[null,null,null,null,0.38999999999999996,13.000000000000002]
[null,null,null,null,0.36999999999999994,12.333333333333334]
[null,null,null,null,0.34999999999999992,11.666666666666666]
[null,null,null,null,0.3299999999999999,10.999999999999998]
[null,null,null,null,0.30999999999999989,10.333333333333332]
[null,null,null,null,0.28999999999999987,9.6666666666666643]
[null,null,null,null,0.26999999999999985,8.9999999999999982]
[null,null,null,null,0.24999999999999986,8.3333333333333321]
[null,null,null,null,0.22999999999999987,7.6666666666666661]
[null,null,null,null,0.20999999999999988,6.9999999999999991]
[null,null,null,null,0.18999999999999989,6.3333333333333321]
[null,null,null,null,0.1699999999999999,5.6666666666666652]
[null,null,null,null,0.14999999999999991,4.9999999999999991]
[null,null,null,null,0.12999999999999992,4.3333333333333321]
[null,null,null,null,0.10999999999999992,3.6666666666666652]

{"sheet":"Measure Parts","index":19,"n_rows":376,"n_cols":11,"rows_kept":376,"cut":false,"hidden":false,"merged":[[20,0,20,1],[80,0,80,1],[104,0,104,1],[106,0,106,1],[22,0,22,1],[42,0,42,1],[39,0,39,1],[78,0,78,1],[209,3,209,5],[89,7,89,10],[375,4,375,12],[250,3,250,6],[251,3,251,6],[252,3,252,6],[351,1,351,6],[162,0,162,1],[195,0,195,1],[160,0,160,1]]}
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[null,null,null,null,null,null,null,"Shank Output Arm (e.g. 130 mm)"]
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["TO MAIN FORM"]
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[null,null,null,"Strikeweight Setup"]
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[null,null,38.5," Height of Capstan Screw"]
[null,null,95," Length of Key Out MAR"]
[null,null,{"$f":"SQRT(C251^2 + C252^2)","v":102.50487793271108}," is Key Out Distance Radial Arm"]
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[null,null,null,null,155,null,null,null,null,null,155]
[null,null,null,null,null,120,null,null,null,120]
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[null,null,null,null,null,null,90,null,90]
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[null,null,"is = to 15 grams or whatever is in the key front",null,null,null,null,null,null,null,"is = to 15 grams or whatever is in the key"]
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[null,"Whippen Radius Weight"]
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["BACK TO MAIN"]
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[null,null,null,null,"Whippen radius weights (WRW) typically range from 14 to 18 grams but may be more or less"]

{"sheet":"Key Inertia ","index":20,"n_rows":317,"n_cols":21,"rows_kept":317,"cut":false,"hidden":true,"merged":[[172,2,172,5],[28,1,28,9],[31,5,31,9],[26,1,26,2],[164,7,170,12],[3,11,3,14],[4,11,4,14],[5,11,5,14],[8,11,8,14],[171,2,171,5],[43,17,43,20],[163,8,163,12],[155,2,156,4],[55,4,55,10],[11,1,24,1],[24,3,24,5],[27,1,27,2],[25,1,25,2],[176,8,176,12],[173,2,173,5],[189,8,189,12],[199,2,199,5],[186,2,186,5],[185,2,185,5],[177,7,183,12],[184,2,184,5],[197,2,197,5],[190,7,196,12],[198,2,198,5],[255,7,261,12],[262,2,262,5],[202,8,202,12],[203,7,209,12],[210,2,210,5],[211,2,211,5],[212,2,212,5],[215,8,215,12],[216,7,222,12],[223,2,223,5],[280,8,280,12],[242,7,248,12],[224,2,224,5],[225,2,225,5],[228,8,228,12],[229,7,235,12],[236,2,236,5],[237,2,237,5],[238,2,238,5],[241,8,241,12],[249,2,249,5],[250,2,250,5],[251,2,251,5],[254,8,254,12],[263,2,263,5],[264,2,264,5],[267,8,267,12],[268,7,274,12],[275,2,275,5],[276,2,276,5],[277,2,277,5],[306,8,306,12],[307,7,313,12],[314,2,314,5],[281,7,287,12],[288,2,288,5],[289,2,289,5],[290,2,290,5],[293,8,293,12],[294,7,300,12],[315,2,315,5],[316,2,316,5],[301,2,301,5],[302,2,302,5],[303,2,303,5]]}
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[null,"The Key Inertia Worksheet ---- more of a FYI page and not critical to your action analysis.",null,null,null,null,null,null,null,null,null,"Summary","Outputs"]
[]
[null,"Unlike the Key Leads Form, this worksheet carries little data over from the AR Calculator worksheet.  ",null,null,null,null,null,null,null,null,null,"Key Inertia Simple Method (Fast) 1 =",null,null,null,{"$f":"F89","v":42.512035999999995},"kg / cm^2"]
[null,"Thus, the Key Inertia as computed here relates to data you must enter below.",null,null,null,null,null,null,null,null,null,"Key Inertia Finite Complex Method 2 =",null,null,null,{"$f":"F129","v":36.781732248962648},"kg / cm^2"]
[null,"This form may be used independently of any other sheet in this workbook.",null,null,null,null,null,null,null,null,null,"Key Inertia Estimate Averages =",null,null,null,{"$f":"AVERAGE(P4:P5)","v":39.646884124481318},"kg / cm^2",{"$f":"P6/10000","v":3.9646884124481321E-3}]
[null,"Still, you cannot arbitrarily mix and match data after you have entered one set of data. Each set is unique.",null,null,null,null,null,null,null,null,null,"Estimated weight of keystick (sans lead)",null,null,null,{"$f":"P121","v":63.999999999999986},"grams"]
[null,"Several simple data input entries are required here, as explained in the box below this box. ",null,null,null,null,null,null,null,null,null,"Total Lead Mass Required ",null,null,null,{"$f":"P118","v":71},"grams"]
[null,"The tan boxes below are the only inputs required. All other cells / boxes are locked. ",null,null,null,null,null,null,null,null,null,"Percent lead mass to total key mass",null,null,null,{"$f":"P109","v":48.563611491108077},"%"]
[null,"All calculations on the worksheet are a result of those inputs. A Summary of Key Inertia values is to right.",null,null,null,null,null,null,null,null,null,"Number of leads ",null,null,null,{"$f":"P8/14.2","v":5}]
[null,null,null,null,null,null,null,null,null,null,null,"SW-Hammer Inertia Input from Main Form ",null,null,null,{"$f":"'Simple AR Calculator'!H14","v":122.28396606445312}]
[null,"INPUTS","Calculating an Estimate of Key Inertia",null,null,null,null,null,null,null,null,"Total Sys Inertia of Hammer and Key ",null,null,null,{"$f":"P6+P11","v":161.93085018893444}]
[null,null,"Two methods for determining key inertia are worked out below:",null,null,null,null,null,null,null,null,"Press \"Ctrl i\"  to transfer this key inertia to the main form"]
["Archives"]
[null,null,"Method 1 - Simple Key Weighing (requires inputs A & B & C)"]
[null,null,"Method 2 - More Complex requires lead positions in mm plus all inputs"]
[null,null,"A ","Front Key Length (very front of key to center of balance hole)      mm",null,null,null,null,null,246,null,"Chart Lead Mass CONSTANTS"]
[null,null,null,"Rear Key Length (center of balance hole to very rear of key)       mm",null,null,null,null,null,236]
[null,null,"B","Total Length of Key Front to Very Back (should = Front + Rear)  mm",null,null,null,null,null,482,null,"3/8\" lead weighs ",null,8.6]
[null,null,null,"Distance from underside key @ balance hole to top of capstan   mm",null,null,null,null,null,124,null,"7/16\" (0.4375\") ",null,11.6]
[null,null,null,"Measure from Bal. hole to center of B'Chk",null,null,null,null,"       mm",228,null,"1/2\" current supply",null,13.8]
[null,null,"C","Total Weight of Key (weigh on gram scale) ",null,null,null,null,"       gms",146.19999999999999,null,"1/2\" lead weighs ",null,14.2]
[null,null,null,"Weight of capstan screw (default is 6 grams if you don't know)    gms",null,null,null,null,null,6,null,"0.540\" lead weighs",null,15.1]
[null,null,null,"Weight of backcheck (default 5.2 grams if you don't know)",null,null,null,null,"       gms",5.2,null,"5/8\" (0.625\") weighs   ",null,21]
[null,null,null,"see  drawing  below     "]
[null,"Lead #",null,"Lead 1","Lead 2","Lead 3","Lead 4","Lead 5","Lead 6","Lead 7"]
[null,"Position in mm",null,170,138,108,78,48]
[null,"Weight grams",null,14.2,14.2,14.2,14.2,14.2]
[null,"READ COMMENT HERE ON HOW TO SAVE THE ABOVE DATA TO THE ARCHIVES BELOW"]
[]
[]
[null,null,null,null,null,"OVERALL KEY LENGTH AND KEY WEIGHT IN GRAMS"]
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[null,null,null,null,null,null,{"$f":"J19","v":482},"mm",{"$f":"G34/1000","v":0.48199999999999998}]
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[null,null,null,null,{"$f":"G34-L39","v":236},"mm",{"$f":"E39/1000","v":0.23599999999999999},null,null,null,null,{"$f":"J17","v":246},"mm",{"$f":"L39/1000","v":0.246}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"L39/2","v":123}]
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[1881146979]
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[null,null,null,null,{"$f":"F48/1000","v":7.1583402489626552E-2},{"$f":"I52*(E39/G34)","v":71.58340248962655},null,null,null,null,{"$f":"N48+F48","v":146.19999999999999},null,null,{"$f":"I52*(L39/G34)","v":74.616597510373438},{"$f":"N48/1000","v":7.4616597510373445E-2}]
[null,null,null,null,null,"mass pro",null,null,null,null,null,null,null,"mass pro"]
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[null,null,null,null,null,null,null,null,{"$f":"J22","v":146.19999999999999},"grams",{"$f":"I52/1000","v":0.1462}]
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[null,null,null,null,"INERTIA ITEMS OF LEAD, POSITIONS, CAPSTAN AND BACKCHECK"]
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[null,null,null,null,null,null,null,null,null,null,null,{"$f":"D27","v":170}]
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[null,null,null,null,null,null,null,null,null,null,null,{"$f":"E27","v":138}]
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[null,null,null,null,{"$f":"J21","v":228},null,null,null,null,null,{"$f":"F27","v":108}]
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[null,null,null,null,null,null,{"$f":"J20","v":124},null,null,{"$f":"G27","v":78}]
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[null,null,null,null,null,null,null,null,null,{"$f":"P47","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,"Lead 5","Lead 6","Lead 7"]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"H27","v":48},{"$f":"I27","v":0},{"$f":"J27","v":0}]
[null,null,null,null,null,null,null,null,{"$f":"I52","v":146.19999999999999},{"$f":"I73/1000","v":0.1462}]
["TOP"]
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[null,"Method 1 -------- Simplest Method Computes Key Inertia from Proportional Masses Front and Back Portions of Keystick ",null,null,null,null,null,null,null,null,null,null,null,{"$f":"G34*0.0254*0.0125*450","v":68.865750000000006},"Spruce"]
[null,null,"Fastest Method though yields a slightly higher or lower inertia than more involved methods below",null,null,null,null,null,null,null,null,null,null,{"$f":"G34*0.0254*0.0125*425","v":65.039874999999995},"S. Pine"]
[null,null,"Works best when leads are evenly grouped and fairly centered in the key front segment"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"14.2*3","v":42.599999999999994},"3 weights"]
[null,null,"Steps",null,null,null,null,null,null,null,null,null,null,{"$f":"14.2*4","v":56.8},"4 weights"]
[null,null,"1)","Weight of keystick on gram scale from above ",null,null,null,{"$f":"J22","v":146.19999999999999}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,5.2,"B'Chk"]
[null,null,null,null,null,{"$f":"(O48*(N39^2))/2","v":2.2577490074688795E-3},"kg / m^2",null,null,null,null,null,null,6,"Capstan"]
[null,null,null,null,null,{"$f":"(E48*(G39^2))/2","v":1.9934545925311201E-3},"kg / m^2"]
[null,null,null,null,null,{"$f":"F86+F87","v":4.2512035999999996E-3},"kg / m^2",null,null,null,null,null,null,{"$f":"N79+N83+N85+N86","v":136.86574999999999}]
[null,null,"Key Inertia Fast Estimate =",null,null,{"$f":"F88*10000","v":42.512035999999995}]
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[null,"Method 3 --------- Complex Method Considers Actual Locations of Lead and Computes Keystick Wood Mass, Capstan and Backcheck Inertias"]
[null,null,"Yields a closer estimate of  key inertia but requires several careful measurements and thus takes more time."]
[]
[null,null,"Inputs consist of: ",null,null,null,null,null,null,null,null,null,null,"Chart Lead Mass CONSTANTS"]
[null,null,null,"Lead Weights in Grams (you must pop out a couple of leads and weigh, or use estimated weights per chart)"]
[null,null,null,"Positions of leads in the key relative to the balance hole (see drawing below)",null,null,null,null,null,null,null,null,null,"3/8\" lead weighs ",null,8.6]
[null,null,null,"Weight of capstan screw (use 6 grams as typical, or unscrew a capstan and weigh it)",null,null,null,null,null,null,null,null,null,"7/16\" (0.4375\") ",null,11.6]
[null,null,null,"Weight of Backcheck and wire (typical old style Steinway backchecks and wires weigh 5.2 grams)",null,null,null,null,null,null,null,null,null,"1/2\" current supply",null,13.8]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"1/2\" lead weighs ",null,14.2]
[null,null,"The number of leads and their positions where entered above, and now carried here.",null,null,null,null,null,null,null,null,null,null,"0.540\" lead weighs",null,15.1]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"5/8\" (0.625\") weighs   ",null,21]
[null,null,"Lead #","Lead 1","Lead 2","Lead 3","Lead 4","Lead 5","Lead 6","Lead 7"]
[null,null,"Weight",{"$f":"D28","v":14.2},14.2,14.2,14.2,14.2,0,0]
[null,null,"kg",{"$f":"D105/1000","v":1.4199999999999999E-2},1.4199999999999999E-2,1.4199999999999999E-2,1.4199999999999999E-2,1.4199999999999999E-2,0,0]
[null,null,"Position",{"$f":"D27","v":170},{"$f":"E27","v":138},{"$f":"F27","v":108},{"$f":"G27","v":78},{"$f":"H27","v":48},{"$f":"M72","v":0},{"$f":"N72","v":0}]
[null,null,"kg",{"$f":"D107/1000","v":0.17},0.13800000000000001,0.108,7.8E-2,4.8000000000000001E-2,0,0]
[null,null,"Inertia ",{"$f":"D106*D108^2","v":4.1038000000000007E-4},2.7042480000000001E-4,1.6562879999999997E-4,8.6392799999999997E-5,3.2716799999999998E-5,0,0,null,"Percent of Lead Mass to Mass of Total Key",null,null,null,{"$f":"(P118/P117)*100","v":48.563611491108077}]
[null,null,"Inertia due to Lead Mass and Locations ",null,null,null,{"$f":"SUM(D109:J109)","v":9.6554319999999998E-4},"kg / m^2"]
[]
[null,null," Total Weight of Keystick (with backcheck, capstan screw and leads) >>",null,null,null,null,null,null,{"$f":"J22","v":146.19999999999999}]
[]
["TOP",null,"Input Capstan and Backcheck weights along with their respective distances from the balance hole here (see drawing below), then follow Steps."]
[]
[null,null,null,"Capstan",null,"B'Check",null,"Auto steps taken by Computer"]
[null,null,"Weight",{"$f":"J23","v":6},"gms",{"$f":"J24","v":5.2},null,"1)","Key with leads, capstan and backcheck (e.g. 120 grams) carried here",null,null,null,null,null,null,{"$f":"J112","v":146.19999999999999}]
[null,null,"kg",{"$f":"D117/1000","v":6.0000000000000001E-3},null,{"$f":"F117/1000","v":5.1999999999999998E-3},null,"2)","Program will compute total mass of leads here ",null,null,null,null,null,null,{"$f":"SUM(D105:J105)","v":71}]
[null,null,"Distance",{"$f":"J20","v":124},"mm",{"$f":"J21","v":228},null,"3)","Capstan weight is carried forward here (usually around 6 grams)",null,null,null,null,null,null,{"$f":"D117","v":6}]
[null,null,"kg",{"$f":"D119/1000","v":0.124},null,{"$f":"F119/1000","v":0.22800000000000001},null,"4) ","Backcheck and wire weight carried forward here (around 5.2 grams)",null,null,null,null,null,null,{"$f":"F117","v":5.2}]
[null,null,null,{"$f":"D118*D120^2","v":9.2255999999999992E-5},null,{"$f":"F118*F120^2","v":2.7031679999999999E-4},null,"5)","What is left is weight or mass grams of wood and key top",null,null,null,null,null,null,{"$f":"P117-P118-P119-P120","v":63.999999999999986}]
[null,null,"Inertia from Capstan & B'Chk.",null,null,{"$f":"D121+F121","v":3.6257279999999997E-4},{"$f":"G110+F122","v":1.3281159999999998E-3},"6)","Grams of key wood is now proportioned front and back per balance hole"]
[null,null,null,null,null,null,null,"7)","Estimated wood mass (grams) on front portion of key ",null,null,null,null,null,null,{"$f":"J144*(M147/I149)","v":32.66390041493775},{"$f":"P123/1000","v":3.2663900414937747E-2},{"$f":"((P123/1000 * (M147/1000)^2)) / 3","v":6.5889619917012426E-4}]
[null,null,"Inertia Front and Rear Keystick",null,null,{"$f":"R123+R124","v":1.2406613333333328E-3},null,"8)","Estimated wood mass (grams) on rear portion of key and its inertia",null,null,null,null,null,null,{"$f":"J144-P123","v":31.336099585062236},{"$f":"P124/1000","v":3.1336099585062234E-2},{"$f":"((P124/1000 * (F147/1000)^2)) / 3","v":5.8176513416320868E-4}]
[null,null,null,null,null,null,null,"9) ","Total Inertia (leads, capstan, backcheck, key portions) in kg / m^2",null,null,null,null,null,null,{"$f":"F124+R123+R124+G110","v":3.4468658666666659E-3},{"$f":"Q124+D118+F118","v":4.2536099585062229E-2}]
[null,null,"Total Complex Key Inertia ",null,{"$f":"G110+F122+F124","v":2.5687773333333327E-3},{"$f":"E126*10000","v":25.687773333333325},null,"10)","Total Inertia expressed as easier-to-read kg / cm^2",null,null,null,null,null,null,{"$f":"P125*10000","v":34.468658666666656}]
[null,null,null,null,"kg / m^2","kg / cm^2",null,null,null,null,null,null,null,null,"Finite->>",{"$f":"P137*10000","v":36.781732248962648}]
[null,null,null,null,null,{"$f":"P137","v":3.6781732248962647E-3},null,null,null,null,null,null,null,null,null,{"$f":"F148/0.04","v":5.8999999999999995},{"$f":"P128-2","v":3.8999999999999995},{"$f":"(Q128/100)^2*$P$132","v":1.191555186721991E-5},{"$f":"M148/0.04","v":6.1499999999999995},{"$f":"S128-2","v":4.1499999999999995},{"$f":"(T128/100)^2*$S$132","v":1.4063850622406631E-5}]
[null,null,null,null,null,{"$f":"F128*10000","v":36.781732248962648},null,null,null,null,null,null,null,null,null,{"$f":"$P$128*2","v":11.799999999999999},{"$f":"P129-2","v":9.7999999999999989},{"$f":"(Q129/100)^2*$P$132","v":7.5237975103734409E-5},{"$f":"$S$128*2","v":12.299999999999999},{"$f":"S129-2","v":10.299999999999999},{"$f":"(T129/100)^2*$S$132","v":8.6632829875518626E-5}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$P$128*3","v":17.7},{"$f":"P130-2","v":15.7},{"$f":"(Q130/100)^2*$P$132","v":1.9310087966804975E-4},{"$f":"$S$128*3","v":18.45},{"$f":"S130-2","v":16.45},{"$f":"(T130/100)^2*$S$132","v":2.2097332780082973E-4}]
[null,null,null,null,null,220,null,null,null,null,null,null,null,null,null,{"$f":"$P$128*4","v":23.599999999999998},{"$f":"P131-2","v":21.599999999999998},{"$f":"(Q131/100)^2*$P$132","v":3.6550426556016582E-4},{"$f":"$S$128*4","v":24.599999999999998},{"$f":"S131-2","v":22.599999999999998},{"$f":"(T131/100)^2*$S$132","v":4.1708534439834001E-4}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"D107","v":170},null,null,null,{"$f":"Q124/4","v":7.8340248962655585E-3},null,{"$f":"SUM(R128:R131)","v":6.4575867219916988E-4},{"$f":"Q123/4","v":8.1659751037344366E-3},null,{"$f":"SUM(U128:U131)","v":7.3875535269709506E-4}]
[]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"E107","v":138},null,null,null,{"$f":"R132+U132","v":1.3845140248962651E-3}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"G122","v":1.3281159999999998E-3}]
[null,null,null,null,null,null,null,null,null,null,{"$f":"F107","v":108},null,null,null,null,{"$f":"G110","v":9.6554319999999998E-4}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"P134+P135+P136","v":3.6781732248962647E-3}]
[null,null,null,null,{"$f":"F119","v":228},null,{"$f":"D119","v":124},null,null,{"$f":"G107","v":78}]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,{"$f":"P121","v":63.999999999999986},null,null,{"$f":"P118/1000","v":7.0999999999999994E-2}]
[]
[]
[null,null,null,null,null,{"$f":"I149-M147","v":236},null,null,null,null,null,null,{"$f":"L39","v":246}]
[null,null,null,null,null,{"$f":"F147/1000","v":0.23599999999999999},null,null,null,null,null,null,{"$f":"M147/1000","v":0.246}]
[null,null,null,null,null,null,null,null,{"$f":"J19","v":482},{"$f":"I149/1000","v":0.48199999999999998}]
[]
[]
[]
[]
[]
[]
[null,null,"ARCHIVES"]
[]
[]
[]
[]
[]
[]
[]
[null,null,"Front Key Length (very front to balance)",null,null,null,246,"Action -->>","SSM "]
[null,null,"Rear Key Length (balance hole rear of key)",null,null,null,236,"Notes are entered here. Inertia = 42.5 fast and 36.8 complex"]
[null,null,"Total Length (should = Front + Rear) ",null,null,null,482]
["TOP",null,"Underside key @ balance to top of capstan",null,null,null,124]
[null,null,"Measure from Bal. hole to center of B'Chk",null,null,null,228]
[null,null,"Total Weight of Key (weigh on gram scale) ",null,null,null,146.19999999999999]
[null,null,"Weight of capstan screw (default is 6 grams)",null,null,null,6]
[null,null,"Weight of backcheck (default is 5.2 grams)",null,null,null,5.2]
[null,null,"Lead # -->>",null,null,null,1,2,3,4,5,6,7]
[null,null,"Lead Positions in mm -->>",null,null,null,170,138,108,78,48]
[null,null,"Lead Weights in grams -->>",null,null,null,14.2,14.2,14.2,14.2,14.2]
[]
[]
[null,null,"Front Key Length (very front to balance)",null,null,null,246,"Action -->>","SSM "]
[null,null,"Rear Key Length (balance hole rear of key)",null,null,null,236,"Notes are entered here. Inertia = 34.3 fast and 37 complex"]
[null,null,"Total Length (should = Front + Rear) ",null,null,null,482]
[null,null,"Underside key @ balance to top of capstan",null,null,null,124]
[null,null,"Measure from Bal. hole to center of B'Chk",null,null,null,228]
[null,null,"Total Weight of Key (weigh on gram scale) ",null,null,null,117.8]
[null,null,"Weight of capstan screw (default is 6 grams)",null,null,null,6]
[null,null,"Weight of backcheck (default is 5.2 grams)",null,null,null,5.2]
[null,null,"Lead # -->>",null,null,null,1,2,3,4,5,6,7]
[null,null,"Lead Positions in mm -->>",null,null,null,170,150,132]
[null,null,"Lead Weights in grams -->>",null,null,null,14.2,14.2,14.2]
[]
[]
[null,null,"Front Key Length (very front to balance)",null,null,null,276,"Action -->>","Young Chang Action"]
[null,null,"Rear Key Length (balance hole rear of key)",null,null,null,239,"Notes are entered here. Inertia = 39.1 fast and 36.6 complex"]
[null,null,"Total Length (should = Front + Rear) ",null,null,null,515]
[null,null,"Underside key @ balance to top of capstan",null,null,null,132]
[null,null,"Measure from Bal. hole to center of B'Chk",null,null,null,228]
[null,null,"Total Weight of Key (weigh on gram scale) ",null,null,null,116]
[null,null,"Weight of capstan screw (default is 6 grams)",null,null,null,6]
[null,null,"Weight of backcheck (default is 5.2 grams)",null,null,null,5.2]
[null,null,"Lead # -->>",null,null,null,1,2,3,4,5,6,7]
[null,null,"Lead Positions in mm -->>",null,null,null,165,145,108]
[null,null,"Lead Weights in grams -->>",null,null,null,14.2,14.2,14.2]
[]
["TOP"]
[null,null,"Front Key Length (very front to balance)",null,null,null,308,"Action -->>","SSD Rick BYU"]
[null,null,"Rear Key Length (balance hole rear of key)",null,null,null,287,"3.5 Leads averaged out at 193 mm from balance hole (front 3rd). 42.4 fast and 52.4 complex. If key leads are centered in the front key segment the Inertia is 42.4 fast and 44.8 complex."]
[null,null,"Total Length (should = Front + Rear) ",null,null,null,595]
[null,null,"Underside key @ balance to top of capstan",null,null,null,167]
[null,null,"Measure from Bal. hole to center of B'Chk",null,null,null,271]
[null,null,"Total Weight of Key (weigh on gram scale) ",null,null,null,143.1]
[null,null,"Weight of capstan screw (default is 6 grams)",null,null,null,6]
[null,null,"Weight of backcheck (default is 5.2 grams)",null,null,null,5.2]
[null,null,"Lead # -->>",null,null,null,1,2,3,4,5,6,7]
[null,null,"Lead Positions in mm -->>",null,null,null,193]
[null,null,"Lead Weights in grams -->>",null,null,null,49]
[]
[]
[null,null,"Front Key Length (very front to balance)",null,null,null,null,"Action -->>"]
[null,null,"Rear Key Length (balance hole rear of key)"]
[null,null,"Total Length (should = Front + Rear) "]
[null,null,"Underside key @ balance to top of capstan"]
[null,null,"Measure from Bal. hole to center of B'Chk"]
[null,null,"Total Weight of Key (weigh on gram scale) "]
[null,null,"Weight of capstan screw (default is 6 grams)"]
[null,null,"Weight of backcheck (default is 5.2 grams)"]
[null,null,"Lead # -->>",null,null,null,1,2,3,4,5,6,7]
[null,null,"Lead Positions in mm -->>"]
[null,null,"Lead Weights in grams -->>"]
[]
[]
[null,null,"Front Key Length (very front to balance)",null,null,null,null,"Action -->>"]
[null,null,"Rear Key Length (balance hole rear of key)"]
[null,null,"Total Length (should = Front + Rear) "]
[null,null,"Underside key @ balance to top of capstan"]
[null,null,"Measure from Bal. hole to center of B'Chk"]
[null,null,"Total Weight of Key (weigh on gram scale) "]
[null,null,"Weight of capstan screw (default is 6 grams)"]
[null,null,"Weight of backcheck (default is 5.2 grams)"]
[null,null,"Lead # -->>",null,null,null,1,2,3,4,5,6,7]
[null,null,"Lead Positions in mm -->>"]
["TOP",null,"Lead Weights in grams -->>"]
[]
[]
[null,null,"Front Key Length (very front to balance)",null,null,null,null,"Action -->>"]
[null,null,"Rear Key Length (balance hole rear of key)"]
[null,null,"Total Length (should = Front + Rear) "]
[null,null,"Underside key @ balance to top of capstan"]
[null,null,"Measure from Bal. hole to center of B'Chk"]
[null,null,"Total Weight of Key (weigh on gram scale) "]
[null,null,"Weight of capstan screw (default is 6 grams)"]
[null,null,"Weight of backcheck (default is 5.2 grams)"]
[null,null,"Lead # -->>",null,null,null,1,2,3,4,5,6,7]
[null,null,"Lead Positions in mm -->>"]
[null,null,"Lead Weights in grams -->>"]
[]
[]
[null,null,"Front Key Length (very front to balance)",null,null,null,null,"Action -->>"]
[null,null,"Rear Key Length (balance hole rear of key)"]
[null,null,"Total Length (should = Front + Rear) "]
[null,null,"Underside key @ balance to top of capstan"]
[null,null,"Measure from Bal. hole to center of B'Chk"]
[null,null,"Total Weight of Key (weigh on gram scale) "]
[null,null,"Weight of capstan screw (default is 6 grams)"]
[null,null,"Weight of backcheck (default is 5.2 grams)"]
[null,null,"Lead # -->>",null,null,null,1,2,3,4,5,6,7]
[null,null,"Lead Positions in mm -->>"]
[null,null,"Lead Weights in grams -->>"]
[]
[]
[null,null,"Front Key Length (very front to balance)",null,null,null,null,"Action -->>"]
[null,null,"Rear Key Length (balance hole rear of key)"]
[null,null,"Total Length (should = Front + Rear) "]
[null,null,"Underside key @ balance to top of capstan"]
[null,null,"Measure from Bal. hole to center of B'Chk"]
[null,null,"Total Weight of Key (weigh on gram scale) "]
[null,null,"Weight of capstan screw (default is 6 grams)"]
[null,null,"Weight of backcheck (default is 5.2 grams)"]
[null,null,"Lead # -->>",null,null,null,1,2,3,4,5,6,7]
[null,null,"Lead Positions in mm -->>"]
[null,null,"Lead Weights in grams -->>"]
[]
[]
[null,null,"Front Key Length (very front to balance)",null,null,null,null,"Action -->>"]
[null,null,"Rear Key Length (balance hole rear of key)"]
[null,null,"Total Length (should = Front + Rear) "]
[null,null,"Underside key @ balance to top of capstan"]
[null,null,"Measure from Bal. hole to center of B'Chk"]
[null,null,"Total Weight of Key (weigh on gram scale) "]
[null,null,"Weight of capstan screw (default is 6 grams)"]
[null,null,"Weight of backcheck (default is 5.2 grams)"]
[null,null,"Lead # -->>",null,null,null,1,2,3,4,5,6,7]
[null,null,"Lead Positions in mm -->>"]
[null,null,"Lead Weights in grams -->>"]
[]
[]
[null,null,"Front Key Length (very front to balance)",null,null,null,null,"Action -->>"]
[null,null,"Rear Key Length (balance hole rear of key)"]
[null,null,"Total Length (should = Front + Rear) "]
[null,null,"Underside key @ balance to top of capstan"]
[null,null,"Measure from Bal. hole to center of B'Chk"]
[null,null,"Total Weight of Key (weigh on gram scale) "]
[null,null,"Weight of capstan screw (default is 6 grams)"]
[null,null,"Weight of backcheck (default is 5.2 grams)"]
[null,null,"Lead # -->>",null,null,null,1,2,3,4,5,6,7]
[null,null,"Lead Positions in mm -->>"]
[null,null,"Lead Weights in grams -->>"]
[]
[]
[null,null,"Front Key Length (very front to balance)",null,null,null,null,"Action -->>"]
[null,null,"Rear Key Length (balance hole rear of key)"]
[null,null,"Total Length (should = Front + Rear) "]
[null,null,"Underside key @ balance to top of capstan"]
[null,null,"Measure from Bal. hole to center of B'Chk"]
[null,null,"Total Weight of Key (weigh on gram scale) "]
[null,null,"Weight of capstan screw (default is 6 grams)"]
[null,null,"Weight of backcheck (default is 5.2 grams)"]
[null,null,"Lead # -->>",null,null,null,1,2,3,4,5,6,7]
[null,null,"Lead Positions in mm -->>"]
[null,null,"Lead Weights in grams -->>"]

{"sheet":"Graphs","index":21,"n_rows":222,"n_cols":18,"rows_kept":222,"cut":false,"hidden":true,"merged":[[0,2,0,7]]}
[null,null,"Note that graphs only appear in the full AGP program. ",null,null,null,null,null,"Also, if graph data does not appear, and you have the full AGP program,"]
[null,null,null,null,null,null,null,null,"go to the Main Page and click on the button that says \"More Advanced Detail\""]
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["Back"]
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[null,null,44]
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["Back"]
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["Back"]
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["Back"]
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["Back"]
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["Back"]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.8]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.29]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.41]
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["Back"]

{"sheet":"Shank_Bore_Angs","index":22,"n_rows":49,"n_cols":12,"rows_kept":49,"cut":false,"hidden":false,"merged":[[1,3,1,5],[23,7,23,9],[24,7,24,9],[22,8,22,11],[6,10,10,10],[24,3,24,4],[21,3,21,11],[22,3,22,4],[40,3,40,11],[8,7,8,8],[12,10,18,10],[10,4,13,4],[23,3,23,4],[29,3,29,11],[25,3,25,4]]}
[]
[null,null,null,"Enter data in tan boxes only"]
[]
[]
[null,null,null,null,"String"]
[]
[null,null,null,null,null,null,null,null,null,null,"Hammer Bore Length"]
[]
[]
[null,null,null,null,null,null,null,null,"mm"]
[null,null,null,"Enter","Keybed to String Dimension",null,null,null,{"$f":"F26","v":44.5}]
[null,null,null,190.5]
[null,null,null,"mm",null,null,null,null,null,null,"Keybed to hammer flange center pin"]
[]
[null,null,null,null,null,null,null,null,"Enter"]
[null,null,null,null,null,null,null,null,146]
[null,null,null,null,null,null,null,null,"mm "]
[]
[]
[]
[]
[null,null,null,"HAMMER BORE Relation of  BLOW DISTANCE"]
[null,null,null,null,null,"mm","inches",null,"Convenience Conversions"]
[null,null,null,"Keybed to String",null,{"$f":"D12","v":190.5},{"$f":"F24/25.4","v":7.5},"Inches to mm --- enter inches -->",null,null,7.5,{"$f":"K24*25.4","v":190.5}]
[null,null,null,"Keybed to Ham Center",null,{"$f":"I16","v":146},{"$f":"F25/25.4","v":5.7480314960629926},"mm to inches --- enter mm -->",null,null,146,{"$f":"K25/25.4","v":5.7480314960629926}]
[null,null,null,"BORE =",null,{"$f":"F24-F25","v":44.5},{"$f":"F26/25.4","v":1.7519685039370079}]
[]
[]
[]
[null,null,null,"Relationship of Shank Length and Hammer Bore to Angular Geometry"]
[]
[null,null,null,{"$f":"F35/H38","v":0.34230769230769231},null,null,null,{"$f":"SQRT(F35^2 + H38^2)","v":137.40542201820131}]
[null,null,null,{"$f":"DEGREES(ATAN(D32))","v":18.896469861126516}]
[null,null,null,null,null,null,null,{"$f":"H32","v":137.40542201820131}]
[null,null,null,null,null,{"$f":"F26","v":44.5}]
[]
[null,null,null,null,null,null,null,null,{"$f":"D33","v":18.896469861126516},"degrees per hammer bore"]
[null,null,null,null,null,null,null,130]
[]
[]
[null,null,null,"Relationship of Shank Length and Blow Distance to Shank / Hammer Rotations"]
[]
[null,null,null,{"$f":"F46/H49","v":0.35384615384615387},null,null,null,{"$f":"SQRT(F47^2 + H49^2)","v":137.2443077143821}]
[null,null,null,{"$f":"DEGREES(ATAN(D43))","v":19.486129572465757}]
[null,null,null,{"$f":"F47/H49","v":0.33846153846153848}]
[null,null,null,{"$f":"DEGREES(ATAN(D45))","v":18.698982804181121},null,46]
[null,null,null,null,null,{"$f":"F46-D49","v":44}]
[null,null,null,null,null,null,null,null,{"$f":"D44","v":19.486129572465757},"degrees rotation to string"]
[null,null,null,2,"Let Off",null,null,130,{"$f":"D46","v":18.698982804181121},"degrees rotation to let-off"]

{"sheet":"Rake Change","index":23,"n_rows":65,"n_cols":16,"rows_kept":65,"cut":false,"hidden":false,"merged":[[1,9,1,11],[2,2,2,3],[17,2,17,3],[46,2,46,15],[43,3,43,5],[19,5,19,12],[48,7,48,11],[64,4,64,12],[42,10,42,12],[37,10,37,12],[39,10,39,12],[42,3,42,5]]}
[]
[null,null,"Drawing and calculations by Nick Gravagne ",null,null,null,null,"2014-09-30",null,"Enter data in tan boxes only"]
[]
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[]
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[]
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[]
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[]
[]
[]
[]
[null,null,"Note Color Coding ",null,null,"for data entry ",null,null,"an auto-calculated value",null,null,null,"a carried or restated value"]
[]
[null,null,null,null,null,"Method 1 per Shank Angle \"Rotation\""]
[]
[null,null,null,null,null,{"$f":"180 - (N38+F34)","v":70.513870427534243},"°"]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,{"$f":"SQRT(D30^2+J35^2)","v":137.89851340750559},"mm"]
[]
[null,null,null,null,{"$f":"D30-N43","v":43.730841559331715}]
[]
[null,null,null,{"$f":"G41","v":46},"mm"]
[]
[null,null,null,null,null,{"$f":"G43","v":91}]
[null,null,null,null,null,{"$f":"180-F32","v":89},null,null,null,{"$f":"J35/(COS(RADIANS(N38-N40)))","v":130.01980264570798}]
[null,null,null,null,null,90]
[null,null,null,null,null,null,null,null,null,{"$f":"G38","v":130},"mm"]
[null,null,null,null,null,null,null,null,null,null,null,"Method 1 per Angle \"Rotation\""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"(D30/J35)","v":0.35384615384615387}]
[null,null,null,null,null,"Shank L.",130,"mm",null,null,"Red Angle",null,null,{"$f":"DEGREES(ATAN(N37))","v":19.486129572465757},"°"]
[null,null,null,null,null,"String Ht.",190,"mm"]
[null,null,null,null,null,"Flg. Ht.",144,"mm",null,null,"Angle RE 91° Rake",null,null,{"$f":"N38-(F34-F33)","v":18.486129572465757},"°"]
[null,null,null,null,null,"Std. Bore",{"$f":"G39-G40","v":46}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"TAN(RADIANS(N38-N40))","v":1.7455064928217585E-2}]
[null,null,null,"Enter Rake Angle Here --- >>",null,null,91,"°",null,null,"Decrease Bore By --- >",null,null,{"$f":"N42*J35","v":2.2691584406682863},"mm"]
[null,null,null,"Bore RE Rake Angle --- >>",null,null,{"$f":"E28","v":43.730841559331715},"mm"]
[]
[]
[null,null,"Below the trigonometry was double checked per oblique triangle model and Law of Cosines. Note that solving for bore dimension is same as above."]
[]
[null,null,null,null,null,null,null,"Method 2 per Law of Cosines"]
[]
[]
[null,null,null,null,null,{"$f":"180 - (F61+O60)","v":70.513870427534243},"°"]
[]
[]
[null,null,null,"Bore Dimension",null,null,null,null,null,null,{"$f":"J26","v":137.89851340750559}]
[null,null,null,null,{"$f":"H58","v":43.731191645369854},null,null,{"$f":"COS(RADIANS(N40))","v":0.94840044199727824}]
[null,null,null,null,null,null,null,{"$f":"(J35^2+J26^2)-(2*J35*J26*H56)","v":1912.4171227240658}]
[null,null,null,null,null,null,null,{"$f":"SQRT(H57)","v":43.731191645369854}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"N40","v":18.486129572465757},"°"]
[null,null,null,null,null,{"$f":"F32","v":91},"°",null,null,{"$f":"J33","v":130.01980264570798}]
[]
[]
[]
[null,null,null,null,"Exaggerated oblique triangle describes shank at rest and hammer rake angle"]

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[]
[]
[]
[null,null,"Standard Action",null,"Yamaha Mdl",null,"SSM 1927",null,"SSBad",null,"17 Kn & 2 to 1",null,"16.2 Kn Cap - 3",null,"17 Knuckle Chg."]
[null,"Key Out",125,131,116.5,124,111,120,133,140,128.33333333333331,135.08771929824559,130,136.84210526315789,133,140]
[null,"Key In",250,250,246,246,238,238,252,252,256.66666666666669,256.66666666666669,252,252,252,252]
[null,"Whippen Out",93,94.2,92,93,92,93.5,93,94,91.5,92.5,92.3,93.3,91.5,92.5]
[null,"Whippen In",63,67,60,64,61,66,62,66,62,66,65,69.193548387096769,62,66]
[null,"Shank Out",130,138,129,140,130,138,127,137,127,137,127,137,127,137]
[null,"Shank In",17,null,17,null,16.2,null,15.5,null,17,null,16.2,null,17]
[null,"Knuckle Diameter",10,null,10,null,10,null,9.5,null,9.5,null,9.5,null,9.5]
[null,"Shank Thick",6,null,6,null,6,null,6,null,6,null,6,null,6]
[null,"Blow",46,null,46,null,44.45,null,46,null,46,null,46,null,46]
[null,"Let Off  /  Aftertouch",2,1.25,2,1.25,1.6,1.25,2,1.25,2,1.25,2,1.25,2,1.25]
[null,"Spread",113,null,112.5,null,112,null,112.5,null,112.5,null,112.5,null,112.5]
[null,"Key Length (optional)",515,null,492,null,482,null,520,null,520,null,520,null,520]
[null,"IMA Inertia w/ key"]
[null,"Key Leads per IMA"]
[null,"Inertia @ 10.6 SW"]
[null,"Key Leads per 10.6"]
[]
[]
[null,null,"Scott SSL"]
[null,"Key Out",114,122]
[null,"Key In",237,237]
[null,"Whippen Out",93,94]
[null,"Whippen In",63,67]
[null,"Shank Out",130,138]
[null,"Shank In",16.2]
[null,"Knuckle Diameter",10]
[null,"Shank Thick",6]
[null,"Blow",44.5]
[null,"Let Off  /  Aftertouch",2,1.25]
[null,"Spread",113]
[null,"Key Length (optional)",485]
[null,"IMA Inertia w/ key"]
[null,"Key Leads per IMA"]
[null,"Inertia @ 10.6 SW"]
[null,"Key Leads per 10.6"]
[]
[]
[]
[null,"Key Out"]
[null,"Key In"]
[null,"Whippen Out"]
[null,"Whippen In"]
[null,"Shank Out"]
[null,"Shank In"]
[null,"Knuckle Diameter"]
[null,"Shank Thick"]
[null,"Blow"]
[null,"Let Off  /  Aftertouch"]
[null,"Spread"]
[null,"Key Length (optional)"]
[null,"IMA Inertia w/ key"]
[null,"Key Leads per IMA"]
[null,"Inertia @ 10.6 SW"]
[null,"Key Leads per 10.6"]
[]
[]
[]
[null,"Key Out"]
[null,"Key In"]
[null,"Whippen Out"]
[null,"Whippen In"]
[null,"Shank Out"]
[null,"Shank In"]
[null,"Knuckle Diameter"]
[null,"Shank Thick"]
[null,"Blow"]
[null,"Let Off  /  Aftertouch"]
[null,"Spread"]
[null,"Key Length (optional)"]
[null,"IMA Inertia w/ key"]
[null,"Key Leads per IMA"]
[null,"Inertia @ 10.6 SW"]
[null,"Key Leads per 10.6"]
[]
[]
[null,null,"Mario BW DW"]
[null,"Key Out",119,119]
[null,"Key In",238.5,238.5]
[null,"Whippen Out",93,93.5]
[null,"Whippen In",62,66]
[null,"Shank Out",130,136]
[null,"Shank In",18.57]
[null,"Knuckle Diameter",10]
[null,"Shank Thick",6]
[null,"Blow",44.5]
[null,"Let Off  /  Aftertouch",1.6,1.25]
[null,"Spread",112.5]
[null,"Key Length (optional)",482]
[null,"IMA Inertia w/ key"]
[null,"Key Leads per IMA"]
[null,"Inertia @ 10.6 SW"]
[null,"Key Leads per 10.6"]
[]
[]
[]
[]
[null,"SSD Renner Class Note 1",null,null,"SSD Renner Class C40 Start",null,null,"SSD Renner Class D42 16.2",null,null,"SSD Ren E44 4cap new whip",null,null,"SSD Ren C64 ",null,null,"SSD Ren E44 orig. guess "]
[null,155,159.8311609167624,null,148,153.05227865013967,null,148,153.05227865013967,null,152,156.92354826475216,null,146,151.11915828246265,null,151,155.95512174981621]
[null,324,324,null,297,297,null,297,297,null,297,297,null,294,294,null,297,297]
[null,92.5,93.941264614784984,null,91,92.861455943787576,null,91,93.419485328317393,null,94,94.492203489637518,null,91,93.419485328317393,null,94,94.492203489637518]
[null,63,66.730802482811484,null,69,72.422372233999624,null,69,72.422372233999624,null,65,68.622153857191051,null,65,68.622153857191051,null,62,65.787536813594102]
[null,128,138.15932831336434,null,128,136.70405992508049,null,128,136.70405992508049,null,128,136.70405992508049,null,128,136.70405992508049,null,128,136.70405992508049]
[null,16.2,"NOTES: ",null,17,"NOTES: ",null,16.2,"NOTES: ",null,16.2,"NOTES: ",null,16.2,"NOTES: ",null,16.2,"NOTES: "]
[null,9.6,null,null,10,null,null,10,null,null,10,null,null,10,null,null,10]
[null,6,null,null,6,null,null,6,null,null,6,null,null,6,null,null,6]
[null,44.5,null,null,44.5,null,null,44.5,null,null,44,null,null,42.449928963073781,null,null,44.5]
[null,2,null,null,2,null,null,2,null,null,2,null,null,2,null,null,2]
[null,112.5,null,null,112.5,null,null,112.5,null,null,112.5,null,null,112.5,null,null,112.5]
[null,620,null,null,590,null,null,589,null,null,588,null,null,573,null,null,588]
[null,39,null,null,39,null,null,39,null,null,39,null,null,39,null,null,39]
[null,22,null,null,22,null,null,22,null,null,22,null,null,22,null,null,22]
[null,52,null,null,48,null,null,48,null,null,48,null,null,48,null,null,48]
[null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25]

{"sheet":"Ham. Wts Archive","index":25,"n_rows":95,"n_cols":11,"rows_kept":95,"cut":false,"hidden":false,"merged":[]}
[]
[]
[]
[]
[]
[]
[null,"Note","Ren Mdl AB BP Actual Weights","Ren Mdls SMOL BP Actual Weights","Ren G5-PBP Mdl D tapered no T-Pins","Ren G4L Mdl D stnd taper 8 mm tail","NY Steinway MDL D replacements","NY Steinway MDL D smooth curve","Original S&S O 106529 trendline","Generic taken off M&H AA 21500","Jason SSO Actual trendline"]
[null,"A     1",9.8000000000000007,9.1,10.6,10.8,12.08,12.075188300000001,7.4661164000000007,9.9582274999999996,8.6626314000000004]
[null,"A#   2",9.5,9,10.6,11.1,11.9,12.0047651,7.3904162000000007,9.8711345000000001,8.6492824000000006]
[null,"B     3",9.1999999999999993,8.8000000000000007,10.6,10.6,11.8,11.9336225,7.3173513000000003,9.7854016999999995,8.6348154000000008]
[null,"C     4",9.1,8.8000000000000007,10.7,10.8,11.7,11.861760500000001,7.2468379000000009,9.7009921000000006,8.6192302999999999]
[null,"C#   5",9.1,8.9,10.6,10.9,11.6,11.7891791,7.1787922999999996,9.6178691000000001,8.6025273000000002]
[null,"D     6",9.1,8.8000000000000007,10.5,10.9,11.55,11.715878200000001,7.1131308999999998,9.5359958999999996,8.5847063000000006]
[null,"D#   7",8.9,8.6999999999999993,10.6,11,11.5,11.6418579,7.0497700000000005,9.4553357000000009,8.5657671999999998]
[null,"E     8",8.6999999999999993,8.8000000000000007,10.5,11,11.45,11.567118199999999,6.9886258000000012,9.3758517999999995,8.5457102000000003]
[null,"F     9",8.6999999999999993,9,10.199999999999999,11,11.4,11.4916591,6.9296147000000001,9.2975074000000006,8.5245350999999996]
[null,"F#   10",8.6999999999999993,9.1,10.5,11,11.36,11.415480499999999,6.8726529000000003,9.2202657000000006,8.5022421000000001]
[null,"G    11",8.8000000000000007,9.3000000000000007,10.5,11,11.32,11.338582600000001,6.8176569000000011,9.1440900999999997,8.4788309999999996]
[null,"G#  12",8.6999999999999993,9.3000000000000007,10.4,10.4,11.28,11.2609651,6.764542800000001,9.0689437000000002,8.4543019000000008]
[null,"A     13",9.3000000000000007,9.1999999999999993,10.3,10.5,11.23,11.182628299999999,6.713227100000001,8.9947897999999995,8.4286548000000003]
[null,"A#   14",9.1,9.1,10.1,10.4,11.18,11.103572099999999,6.6636258999999995,8.9215917000000005,8.4018896999999999]
[null,"B    15",8.9,9.1999999999999993,10,10.4,11.13,11.0237964,6.6156556999999996,8.8493124999999999,8.3740065999999995]
[null,"C    16",9,9.1,9.8000000000000007,10.4,11.08,10.9433013,6.5692328,8.7779155000000006,8.3450054999999992]
[null,"C#  17",8.9,8.8000000000000007,9.9,10.199999999999999,11.02,10.8620868,6.5242734000000002,8.7073640999999995,8.3148864000000007]
[null,"D    18",8.8000000000000007,8.8000000000000007,10.1,10.199999999999999,10.95,10.7801528,6.4806938000000009,8.6376213000000011,8.2836493000000004]
[null,"D#  19",8.6999999999999993,8.5,9.9,10,10.88,10.6974994,6.4384104000000004,8.568650400000001,8.2512942000000002]
[null,"E     20",8.6999999999999993,8.3000000000000007,9.9,10.1,10.81,10.614126600000001,6.3973394999999993,8.5004147999999997,8.2178210000000007]
[null,"F     21",8.6999999999999993,8,9.5,9.9,10.73,10.5300344,6.3573973000000006,8.4328776000000012,8.1832299000000006]
[null,"F#   22",8.6,7.9,9.6,9.8000000000000007,10.65,10.4452228,6.3185003000000002,8.3660021000000011,8.1475206999999994]
[null,"G    23",8.8000000000000007,7.9,9.5,9.6999999999999993,10.56,10.359691700000001,6.2805645999999999,8.2997515000000011,8.1106935999999994]
[null,"G#  24",8.8000000000000007,7.9,9.5,9.5,10.47,10.273441200000001,6.2435066999999993,8.2340891000000003,8.0727484]
[null,"A     25",8.9,7.8,9.4,9.6,10.38,10.186471299999999,6.2072427000000001,8.1689781000000004,8.0336853000000001]
[null,"A#   26",8.8000000000000007,7.7,9.4,9.1,10.29,10.098781900000001,6.1716891,8.1043817000000011,7.9935041]
[null,"B     27",8.1999999999999993,7.7,9.4,9.1999999999999993,10.19,10.0103732,6.1367621999999997,8.0402633000000012,7.9522048999999999]
[null,"C     28",8.1999999999999993,7.6,9.3000000000000007,9.1999999999999993,10.09,9.9212450000000008,6.1023780999999993,7.9765858999999999,7.9097876999999999]
[null,"C#   29",8.3000000000000007,7.6,9.3000000000000007,9.1,9.99,9.8313974000000002,6.0684533999999992,7.9133130000000005,7.8662524999999999]
[null,"D      30",8.1999999999999993,7.7,8.6,9.1999999999999993,9.89,9.7408303000000007,6.0349041000000003,7.8504076999999999,7.8215992999999999]
[null,"D#    31",8.1999999999999993,7.7,8.6999999999999993,9.1,9.8000000000000007,9.6495438999999994,6.0016467999999996,7.7878333000000008,7.7758281]
[null,"E      32",7.9,7.6,8.6,9.3000000000000007,9.6999999999999993,9.5575379999999992,5.9685976000000007,7.7255529000000003,7.7289389000000002]
[null,"F      33",7.8,7.6,8.4,9.1,9.6,9.4648126999999995,5.9356729999999995,7.6635299999999997,7.6809317000000004]
[null,"F#    34",8,7.6,8.4,8.8000000000000007,9.5,9.3713678999999992,5.9027890999999997,7.6017276000000003,7.6318064000000003]
[null,"G     35",8,7.5,8.3000000000000007,8.8000000000000007,9.4,9.2772038000000006,5.8698622999999994,7.5401091000000005,7.5815631999999997]
[null,"G#   36",8.1,7.3,8.4,8.8000000000000007,9.3000000000000007,9.1823201999999995,5.8368090000000006,7.4786377000000002,7.5302020000000001]
[null,"A      37",8.1,7.3,8.4,8.9,9.1999999999999993,9.0867172000000007,5.8035453999999991,7.417276600000001,7.4777227000000002]
[null,"A#    38",7.9,7.3,8.4,8.5,9.1,8.9903946999999995,5.7699877999999991,7.355989000000001,7.4241254999999997]
[null,"B     39",7.9,7.3,8.3000000000000007,8.4,9,8.8933529,5.7360526000000007,7.2947383000000006,7.3694101999999999]
[null,"C     40",7.8,7.1,8.1,8.4,8.9,8.7955915999999998,5.7016559999999998,7.2334876999999995,7.3135769000000002]
[null,"C#   41",7.8,7,8,8.3000000000000007,8.8000000000000007,8.6971109000000002,5.6667144,7.1722003000000001,7.2566256999999998]
[null,"D     42",7.8,6.8,7.9,8.3000000000000007,8.6999999999999993,8.5979107999999993,5.631143999999999,7.1108395000000009,7.1985564000000002]
[null,"D#   43",7.7,6.9,7.8,8.3000000000000007,8.6,8.4979911999999995,5.5948612000000004,7.0493684999999999,7.1393690999999997]
[null,"E     44",7.6,6.7,7.7,8.3000000000000007,8.5399999999999991,8.3973522000000003,5.5577822999999995,6.9877505000000006,7.0790638000000001]
[null,"F     45",7.7,6.8,7.9,8.4,8.4499999999999993,8.2959937999999998,5.5198236999999999,6.9259488000000005,7.0176404999999997]
[null,"F#   46",7.6,6.8,7.7,8.3000000000000007,8.35,8.1939159999999998,5.4809014999999999,6.863926600000001,6.9550992000000003]
[null,"G     47",7.5,6.7,7.4,8.3000000000000007,8.3000000000000007,8.0911187000000009,5.4409320999999995,6.8016471999999997,6.8914397999999997]
[null,"G#   48",7.3,6.7,7.2,8.1999999999999993,8.1999999999999993,7.9876021000000001,5.3998319000000006,6.7390737999999999,6.8266625000000003]
[null,"A      49",7.2,6.7,7,8.1999999999999993,8,7.8833659999999997,5.357517099999999,6.6761695999999997,6.7607672000000001]
[null,"A#    50 ",7.2,6.5,6.9,8.1,7.9,7.7784104000000003,5.3139039999999991,6.6128979000000001,6.6937538999999999]
[null,"B     51",7.2,6.5,6.6,7.8,7.8,7.6727354999999999,5.2689090000000007,6.5492220000000003,6.6256225000000004]
[null,"C     52",7.1,6.5,6.6,7.6,7.7,7.5663410999999998,5.2224483999999993,6.4851050000000008,6.5563732000000003]
[null,"C#    53",7,6.5,6.7,7.6,7.6,7.4592273000000002,5.1744383999999997,6.4205103000000001,6.4860058]
[null,"D      54",6.9,6.2,6.3,7.6,7.5,7.3513941000000003,5.1247954,6.3554010000000005,6.4145203999999998]
[null,"D#    55",6.9,6.1,6.2,7.6,7.4,7.2428413999999997,5.0734356999999992,6.2897403999999995,6.3419170999999999]
[null,"E      56",6.6,6,5.9,7.6,7.2,7.1335693999999998,5.0202755999999997,6.2234917999999997,6.2681956999999997]
[null,"F      57",6.5,5.8,5.8,7.5,7.16,7.0235779000000003,4.9652314000000004,6.1566183999999993,6.1933562999999996]
[null,"F#    58",6.4,5.9,6.6,7.5,7,6.9128669,4.9082194000000001,6.0890833999999998,6.1173989000000004]
[null,"G      59",6.3,5.8,6.4,7.5,6.9,6.8014365999999997,4.8491560000000007,6.0208501000000005,6.0403235000000004]
[null,"G#    60",6.5,5.7,6.4,7,6.8,6.6892867999999996,4.7879573000000004,5.9518816999999995,5.9621301000000004]
[null,"A       61",6.5,5.7,6.3,7,6.65,6.5764176000000001,4.7245398999999999,5.8821414999999995,5.8828186999999996]
[null,"A#     62",6.4,5.6,6.2,6.8,6.5,6.4628290000000002,4.6588197999999998,5.8115927000000003,5.8023892999999997]
[null,"B       63",6.3,5.75,6.1,6.9,6.4,6.3485209999999999,4.5907135999999991,5.7401985999999994,5.7208417999999996]
[null,"C       64",6.3,5.6,6,6.8,6.2,6.2334934999999998,4.5201373999999994,5.6679223000000007,5.6381763999999999]
[null,"C#     65",6.2,5.4,5.9,6.9,6,6.1177466000000003,4.4470075999999992,5.5947271999999995,5.5543930000000001]
[null,"D       66",6,5.3,5.8,6.7,5.9,6.0012803000000003,4.3712403999999996,5.5205765000000007,5.4694915000000002]
[null,"D#     67",5.8,5.4,5.5,6.7,5.8,5.8840946000000001,4.2927523000000001,5.4454334000000006,5.3834720000000003]
[null,"E       68",5.8,5.0999999999999996,5.5,6.5,5.7,5.7661894,4.2114595000000001,5.3692612000000004,5.2963345999999998]
[null,"F       69",5.6,4.8,5.4,6.5,5.5,5.6475647999999996,4.1272783000000004,5.2920230999999998,5.2080791]
[null,"F#     70",5.6,4.7,5.2,6.4,5.4,5.5282207999999997,4.0401249999999997,5.2136823999999997,5.1187056000000002]
[null,"G      71",5.5,4.7,4.7,5.9,5.23,5.4081574000000003,3.9499159000000001,5.1342022000000007,5.0282141999999999]
[null,"G#    72",5.3,4.5999999999999996,4.7,5.7,5,5.2873745000000003,3.8565673999999999,5.0535458999999996,4.9366047000000002]
[null,"A       73",5.3,4.5,4.5999999999999996,5.6,4.9000000000000004,5.1658721999999999,3.7599958,4.9716766999999997,4.8438771999999997]
[null,"A#     74",5,4.4000000000000004,4.4000000000000004,5.5,4.8,5.0436505,3.6601173,4.8885577999999992,4.7500317000000001]
[null,"B      75",5.0999999999999996,4.5,4.3,5.3,4.7,4.9207093999999998,3.5568483,4.8041525000000007,4.6550681999999997]
[null,"C      76",5.2,4.4000000000000004,4.3,5.0999999999999996,4.5999999999999996,4.7970487999999998,3.4501050000000002,4.7184240000000006,4.5589865999999999]
[null,"C#     77",5.2,4.4000000000000004,4.3,5.0999999999999996,4.5,4.6726688000000003,3.3398039000000002,4.6313355999999999,4.4617870999999996]
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{"sheet":"BenchSheets","index":28,"n_rows":105,"n_cols":6,"rows_kept":105,"cut":false,"hidden":false,"merged":[[104,5,104,8],[387,3,387,11],[363,0,363,5]]}
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[null,null,null,null,null,"Shank Output Arm (e.g. 130 mm)"]

{"sheet":"Comp_Res","index":29,"n_rows":104,"n_cols":7,"rows_kept":104,"cut":false,"hidden":true,"merged":[]}
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[null,{"$f":"Compare!B3","v":"Standard Action"}]
[null,"Carry Ins",null,null,null,"Compliance","Resistance"]
[null,"DAR = ",{"$f":"'Simple AR Calculator'!H8","v":4.9290580577654328}]
[null,"MAR =",{"$f":"'Simple AR Calculator'!H7","v":5.7220392156862747},5.61,"SW ratio",null,{"$f":"C8* C16","v":77.247529411764702}]
[null,"Key Ro =",{"$f":"'Simple AR Calculator'!C23","v":1.9672131147540985},null,"Friction",null,{"$f":"(C14 - C15) / 2","v":16}]
[null,"DW target =",50,null,"WRW Ro",null,{"$f":"C17/C9","v":9.5058333333333316}]
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[null,"User Inputs",null,null,"Total Res. ",null,{"$f":"SUM(G8:G11)","v":102.75336274509803}]
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[null,"WRW = ",18.7,null,"Add req'd",{"$f":"G12-F16","v":46.75336274509803}]
[null,"KIW = ",0]
[null,"Leads trial =",88,null,"Leads req'd"]
[null,null,null,null,"key center"]
[null,null,null,null,"loaded",null,{"$f":"F17*2","v":93.506725490196061}]
[]
[null,null,null,null,"Actual trial",null,{"$f":"C19","v":88}]
[null,null,null,null,"Difference",null,{"$f":"G21-G23","v":5.5067254901960609}]
[null,"Back to Compare",null,null,"Effect @ DW",null,{"$f":"G24/2","v":2.7533627450980305}]
[]
[]
[]
[null,"Snippet capture below Yamaha Adj. taken 9/13/2018"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"Snippet capture below ADJUSTABLE taken 9/15/2018 Re 44 g DW target"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"Snippet capture below ADJUSTABLE taken 9/15/2018 Re 50 g DW target"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"Snippet capture below YC mdl. taken 9/23/2018 Re 56 g DW target"]

{"sheet":"Nicks WS","index":30,"n_rows":20,"n_cols":10,"rows_kept":20,"cut":false,"hidden":true,"merged":[]}
[]
[]
[]
[null,null,null,null,null,null,null,"D Remain","B Remain"]
[null,null,null,"Pennies","Ham Rise","AR",null,8.8000000000000007,46]
[null,null,1,1.51,8.6999999999999993,{"$f":"E6/D6","v":5.7615894039735096},null,{"$f":"$H$5-D6","v":7.2900000000000009},{"$f":"$I$5-E6","v":37.299999999999997},{"$f":"I6/H6","v":5.1165980795610411}]
[null,null,2,3.02,17,5.629139072847682,null,5.7800000000000011,29,5.0173010380622829]
[null,null,3,4.45,24.45,5.4943820224719095,null,4.3500000000000005,21.55,4.9540229885057467]
[null,null,4,5.9,32.5,5.508474576271186,null,2.9000000000000004,13.5,4.6551724137931032]
[null,null,5,7.34,39.25,5.3474114441416898,null,1.4600000000000009,6.75,4.6232876712328741]
[null,null,6,8.8000000000000007,44.25,5.0284090909090908,null,0,1.75,{"$error":"#DIV/0!"}]
[]
[]
[]
[null,null,46,{"$f":"$C$16-D6","v":7.2900000000000009},{"$f":"$C$15-E6","v":37.299999999999997},{"$f":"E15/D15","v":5.1165980795610411}]
[null,null,8.8000000000000007,5.7800000000000011,29,5.0173010380622829]
[null,null,null,4.3500000000000005,21.55,4.9540229885057467]
[null,null,null,2.9000000000000004,13.5,4.6551724137931032]
[null,null,null,1.4600000000000009,6.75,4.6232876712328741]
[null,null,null,0,1.75,{"$error":"#DIV/0!"}]

{"sheet":"Misc","index":31,"n_rows":126,"n_cols":18,"rows_kept":126,"cut":false,"hidden":true,"merged":[[36,1,36,7]]}
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14.8,12.4,10.3]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.4,10.5,8.6]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.9,5.8,4.5999999999999996]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"f(x)=-(6.10*10^(-4))*x^2-0.0366*x+14.84"]
[null,"f(x)=-(5.8760684*10^(-4))*x^2-0.0310363*x+13.6316239"]
[null,"f(x)=-(5.6550251*10^(-4))*x^2-0.0255323*x+12.4260978"]
[null,"f(x)=-(5.3787209*10^(-4))*x^2-0.022819*x+11.3733569"]
[null,"f(x)= -(4.57*10^(-4)) * x^2-0.025 * x+10.33"]
[null,"f(x)=-(4.4392868*10^(-4))*x^2-0.0202605*x+9.2207044"]
[null,"f(x)=-(3.8314176*10^(-4))*x^2-0.0176245*x+8.0180077"]
[]
[null,"Strike Weight Curve Data Below -- Bass SWs are found in first column"]
["Note"]
[1,14.8,13.6,12.4,11.35,10.2737695,9.1999999999999993,8.0000000999999994]
[2,14.8,13.5672009,12.372771200000001,11.325567400000001,10.3,9.1784076999999993,7.9812260999999998]
[3,14.7,13.5332265,12.3444114,11.3000591,10.246625399999999,9.1559275000000007,7.9616859]
[4,14.7,13.498077,12.314920600000001,11.2734749,10.2185676,9.1325594999999993,7.9413793999999998]
[5,14.6,13.461752199999999,12.284298700000001,11.2458151,10.1895962,9.1083037000000004,7.9203067000000003]
[6,14.6,13.424252299999999,12.252545899999999,11.217079500000001,10.1597112,9.0831599999999995,7.8984676]
[7,14.6,13.385577100000001,12.219662100000001,11.1872682,10.1289125,9.0571283999999999,7.8758622999999996]
[8,14.5,13.3457267,12.1856472,11.156381100000001,10.0972001,9.0302089999999993,7.8524906000000003]
[9,14.5,13.304701,12.1505014,11.1244183,10.0645741,9.0024017000000001,7.8283526999999999]
[10,14.4,13.2625002,12.114224500000001,11.091379699999999,10.031034500000001,8.9737065000000005,7.8034485]
[11,14.4,13.2191242,12.0768167,11.0572654,9.9965811999999996,8.9441234999999999,7.7777779999999996]
[12,14.3,13.174572899999999,12.038277799999999,11.022075299999999,9.9612143,8.9136527000000001,7.7513413]
[13,14.3,13.1288464,11.998608000000001,10.9858095,9.9249337000000004,8.8822939999999999,7.7241381999999996]
[14,14.2,13.0819448,11.9578071,10.948468,9.8877395000000003,8.8500473999999993,7.6961689]
[15,14.2,13.033867900000001,11.9158752,10.910050699999999,9.8496316999999998,8.8169129000000002,7.6674332999999999]
[16,14.1,12.984615700000001,11.872812400000001,10.8705576,9.8106100999999999,8.7828906999999994,7.6379314000000003]
[17,14,12.9341884,11.828618499999999,10.8299889,9.7706750000000007,8.7479805000000006,7.6076632000000002]
[18,14,12.8825859,11.7832936,10.7883443,9.7298261999999998,8.7121825000000008,7.5766287999999999]
[19,14,12.829808099999999,11.736837700000001,10.745624100000001,9.6880637000000007,8.6754966000000007,7.5448279999999999]
[20,13.9,12.775855200000001,11.6892508,10.7018281,9.6453877000000006,8.6379228999999995,7.5122609999999996]
[21,13.8,12.720727,11.6405329,10.656956299999999,9.6017978999999993,8.5994613999999991,7.4789276999999998]
[22,13.7,12.664423599999999,11.590684,10.6110088,9.5572944999999994,8.5601119000000008,7.4448280999999996]
[23,13.7,12.606945,11.5397041,10.563985600000001,9.5118775000000007,8.5198745999999996,7.4099621999999998]
[24,13.6,12.5482912,11.487593199999999,10.5158866,9.4655468000000003,8.4787494999999993,7.3743299999999996]
[25,13.5,12.4884621,11.4343512,10.466711800000001,9.4183024999999994,8.4367365000000003,7.3379316000000001]
[26,13.5,12.4274579,11.379978299999999,10.416461399999999,9.3701445000000003,8.3938355999999992,7.3007669000000002]
[27,13.4,12.365278399999999,11.3244744,10.3651351,9.3210729000000008,8.3500469000000006,7.2628358999999998]
[28,13.3,12.3019237,11.2678394,10.3127332,9.2710877000000007,8.3053702999999999,7.2241385999999999]
[29,13.3,12.2373938,11.2100735,10.2592555,9.2201888000000007,8.2598058999999999,7.1846750000000004]
[30,13.2,12.171688700000001,11.1511765,10.204701999999999,9.1683762000000009,8.2133535999999996,7.1444451000000004]
[31,13.1,12.1048084,11.0911486,10.149072800000001,9.1156500000000005,8.1660134000000006,7.1034490000000003]
[32,13,12.0367529,11.0299896,10.092367899999999,9.0620101999999996,8.1177854000000007,7.0616865000000004]
[33,13,11.967522199999999,10.967699700000001,10.034587200000001,9.0074567000000005,8.0686695999999998,7.0191578000000003]
[34,12.9,11.897116199999999,10.904278700000001,9.9757307999999991,8.9519895999999992,8.0186658000000008,6.9758627999999998]
[35,12.8,11.825535,10.8397267,9.9157986000000005,8.8956087999999998,7.9677743000000003,6.9318014999999997]
[36,12.7,11.752778599999999,10.7740437,9.8547907000000006,8.8383143999999998,7.9159948,6.8869740000000004]
[37,12.7,11.678846999999999,10.7072298,9.7927070000000001,8.7801062999999999,7.8633274999999996,6.8413801000000003]
[38,12.6,11.603740200000001,10.6392848,9.7295476000000001,8.7209845999999995,7.8097723999999999,6.7950200000000001]
[39,12.5,11.5274582,10.5702088,9.6653125000000006,8.6609491999999992,7.7553293999999999,6.7478936000000003]
[40,12.4,11.450001,10.5000018,9.6000016000000006,8.6000002000000002,7.6999985000000004,6.7000009]
[41,12.3,11.371368500000001,10.428663800000001,9.5336148999999999,8.5381376000000007,7.6437797999999999,6.6513419000000003]
[42,12.2,11.291560799999999,10.356194800000001,9.4661524999999997,8.4753612999999994,7.5866731999999999,6.6019166]
[43,12.1,11.210578,10.2825948,9.3976144000000001,8.4116713000000001,7.5286787999999998,6.5517250999999996]
[44,12,11.128419900000001,10.207863700000001,9.3280004999999999,8.3470677000000002,7.4697965000000002,6.5007672999999997]
[45,12,11.0450865,10.1320017,9.2573109000000002,8.2815504999999998,7.4100263000000002,6.4490430999999999]
[46,11.9,10.960578,10.0550087,9.1855455999999993,8.2151195999999995,7.3493683000000001,6.3965527]
[47,11.8,10.874894299999999,9.9768846999999994,9.1127044999999995,8.1477751000000005,7.2878223999999996,6.3432960999999999]
[48,11.7,10.788035300000001,9.8976296000000001,9.0387875999999991,8.0795168999999998,7.2253886999999999,6.2892730999999999]
[49,11.6,10.700001200000001,9.8172435999999994,8.9637949999999993,8.0103451000000003,7.1620670999999998,6.2344837999999996]
[50,11.5,10.610791799999999,9.7357265000000002,8.8877267,7.9402596000000001,7.0978576999999996,6.1789282999999999]
[51,11.4,10.520407199999999,9.6530784999999995,8.8105826,7.8692605000000002,7.0327603999999999,6.1226064999999998]
[52,11.3,10.4288474,9.5692994000000002,8.7323628000000006,7.7973477999999998,6.9667751999999998,6.0655184000000002]
[53,11.2,10.336112399999999,9.4843893000000001,8.6530672000000006,7.7245214000000004,6.8999021999999997,6.0076640000000001]
[54,11.1,10.242202199999999,9.3983483000000003,8.5726958999999994,7.6507813000000002,6.8321414000000003,5.9490432999999996]
[55,11,10.1471167,9.3111762000000002,8.4912487999999993,7.5761276000000004,6.7634926000000002,5.8896563999999998]
[56,10.9,10.050856,9.2228730999999993,8.4087259999999997,7.5005603000000001,6.6939561000000003,5.8295031000000002]
[57,10.8,9.9534202000000001,9.1334389999999992,8.3251275000000007,7.4240792999999998,6.6235315999999997,5.7685836000000004]
[58,10.7,9.8548091000000007,9.0428739999999994,8.2404531999999993,7.3466847,6.5522193,5.7068978000000001]
[59,10.6,9.7550228000000008,8.9511778999999994,8.1547032000000002,7.2683764000000002,6.4800192000000001,5.6444457000000003]
[60,10.5,9.6540613000000004,8.8583508000000002,8.0678774000000004,7.1891544999999999,6.4069311999999998,5.5812274000000004]
[61,10.3,9.5519245000000002,8.7643927000000001,7.9799759000000003,7.1090188999999997,6.3329553000000001,5.5172426999999997]
[62,10.199999999999999,9.4486126000000006,8.6693035999999992,7.8909985999999996,7.0279696999999999,6.2580916000000002,5.4524917999999998]
[63,10.1,9.3441255000000005,8.5730833999999998,7.8009456000000004,6.9460068000000001,6.1823399999999999,5.3869746000000003]
[64,10,9.2384631000000006,8.4757323000000007,7.7098167999999996,6.8631302999999999,6.1057005000000002,5.3206911000000003]
[65,9.9,9.1316255000000002,8.3772502000000006,7.6176123000000002,6.7793402,6.0281732000000003,5.2536413]
[66,9.8000000000000007,9.0236126999999993,8.2776370999999997,7.5243320999999996,6.6946364000000003,5.9497581000000004,5.1858252]
[67,9.6999999999999993,8.9144246999999996,8.1768929000000004,7.4299761000000002,6.6090188999999997,5.8704551,5.1172427999999996]
[68,9.5,8.8040614999999995,8.0750177999999995,7.3345444000000004,6.5224878000000004,5.7902642000000002,5.0478942]
[69,9.4,8.6925229999999996,7.9720116000000001,7.2380369,6.4350430999999997,5.7091855000000002,4.9777792999999999]
[70,9.3000000000000007,8.5798094000000003,7.8678745000000001,7.1404537000000001,6.3466847,5.6272188999999999,4.9068981000000003]
[71,9.1999999999999993,8.4659204999999993,7.7626062999999998,7.0417946999999996,6.2574126999999997,5.5443644000000001,4.8352506000000002]
[72,9,8.3508563999999996,7.6562071999999999,6.9420599999999997,6.1672269999999996,5.4606221000000001,4.7628367999999996]
[73,8.9,8.2346170999999995,7.5486769999999996,6.8412495,6.0761276999999998,5.3759920000000001,4.6896567999999998]
[74,8.8000000000000007,8.1172026000000006,7.4400158999999997,6.7393632999999999,5.9841148000000004,5.2904739000000003,4.6157104000000002]
[75,8.6999999999999993,7.9986129000000004,7.3302237000000003,6.6364013999999996,5.8911882000000002,5.2040680999999998,4.5409978000000004]
[76,8.5,7.8788479999999996,7.2193005000000001,6.5323637000000003,5.7973479000000001,5.1167743000000003,4.4655189000000002]
[77,8.4,7.7579077999999999,7.1072462999999999,6.4272502999999999,5.7025940000000004,5.0285928000000002,4.3892737000000004]
[78,8.3000000000000007,7.6357925,6.9940610999999997,6.3210610999999997,5.6069265000000001,4.9395233000000003,4.3122622000000002]
[79,8.1999999999999993,7.5125019000000002,6.8797449000000004,6.2137962,5.5103453,4.8495660000000003,4.2344844999999998]
[80,8,7.3880360999999999,6.7642977000000002,6.1054554999999997,5.4128504,4.7587207999999999,4.1559404000000004]
[81,7.9,7.2623951,6.6477195,5.9960391,5.3144419000000003,4.6669878000000002,4.0766301]
[82,7.7,7.1355788999999996,6.5300102999999998,5.8855469999999999,5.2151198000000001,4.5743669999999996,3.9965535000000001]
[83,7.6,7.0075874999999996,6.4111700999999996,5.7739791,5.114884,4.4808582000000001,3.9157106000000002]
[84,7.5,6.8784207999999998,6.2911989000000004,5.6613353999999996,5.0137346000000003,4.3864615999999996,3.8341014000000002]
[85,7.3,6.7480789999999997,6.1700967000000002,5.5476159999999997,4.9116716,4.2911771999999999,3.7517260000000001]
[86,7.1,6.6165618999999998,6.0478633999999998,5.4328209000000003,4.8086948999999999,4.1950048999999998,3.6685842000000002]
[87,7,6.4838696000000002,5.9244991999999996,5.3169500999999997,4.7048044999999998,4.0979447000000002,3.5846762000000001]
[88,6.9,6.3500021000000002,5.8000040000000004,5.2000033999999999,4.6000005000000002,3.9999967000000001,3.5000019]

{"sheet":"Geometry","index":32,"n_rows":28,"n_cols":15,"rows_kept":28,"cut":false,"hidden":true,"merged":[]}
[]
[]
[]
[]
[null,null,null,null,null,"cos = a/h","h = a/cos",{"$f":"COS(RADIANS(O12))","v":0.92643017089289548},{"$f":"N15/H5","v":23.100429186590961},null,{"$f":"I19-I5","v":89.899570813409042}]
[null,null,null,null,null,"invCos =",null,{"$f":"1/H5","v":1.0794121687943277},{"$f":"N15*H6","v":23.100429186590961}]
[]
[null,null,null,null,null,"cos = a/h","h = a/cos",{"$f":"COS(RADIANS(O13))","v":0.99751195586932828},{"$f":"N17/H8","v":19.586270962088985},null,{"$f":"I19-I8","v":93.413729037911011}]
[null,null,null,null,null,"invCos =",null,{"$f":"1/H8","v":1.0024942499345819},{"$f":"N17*H9","v":19.586270962088985}]
[null,null,null,null,null,null,"a = cos*h",null,{"$f":"I9*COS(RADIANS(O13))","v":19.537539455580013}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C134","v":22.114989794920287}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"I5","v":23.100429186590961},null,{"$f":"'Simple AR Calculator'!J131","v":4.0425626231570266}]
[null,null,null,null,null,"tan = o/a","o = tan*a"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!E129","v":21.400934559032695}]
[null,null,null,null,null,"a2 + b2 = c2 ",null,"a = sqrt(c2-b2)"]
[null,null,null,null,null,null,null,{"$f":"SQRT(M13^2 - N15^2)","v":8.696541186282257},null,null,null,null,null,{"$f":"'Simple AR Calculator'!G128","v":19.537539455580013}]
[]
[null,null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!E131","v":113},null,null,null,{"$f":"'Simple AR Calculator'!C137","v":152.9429229661564}]
[]
[]
[null,null,null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!E130","v":93.521213902840955}]
[]
[]
[null,null,null,null,{"$f":"'Simple AR Calculator'!C129","v":4.9420872389233885}]
[null,null,null,null,null,null,null,null,null,null,null,null,169.75]
[]
[null,null,null,null,{"$f":"'Simple AR Calculator'!J129","v":0.84386271728307349}]

{"sheet":"Sheet3","index":33,"n_rows":15,"n_cols":3,"rows_kept":15,"cut":false,"hidden":true,"merged":[]}
[]
[]
[null,"K =",{"$f":"'Simple AR Calculator'!D7","v":130.38404810405297}]
[null,"k =",{"$f":"'Simple AR Calculator'!D8","v":240}]
[null,"W = ",{"$f":"'Simple AR Calculator'!D9","v":93.521213902840955}]
[null,"w = ",{"$f":"'Simple AR Calculator'!D10","v":66.258961658027815}]
[null,"S =",{"$f":"'Simple AR Calculator'!D11","v":137.56816492197603}]
[null,"A =",{"$f":"'Simple AR Calculator'!H8","v":4.9290580577654328}]
[]
[null,"s =( KWS / kw) / A"]
[null,null,{"$f":"((C3*C5*C7) / (C4*C6)) /C8","v":21.400934559032702}]
[]
[]
[null,"s = (KWS) / (kwA)"]
[null,null,{"$f":"(C3*C5*C7) / (C4*C6*C8)","v":21.400934559032702}]

{"sheet":"Sheet2","index":34,"n_rows":91,"n_cols":7,"rows_kept":91,"cut":false,"hidden":true,"merged":[]}
["f(x)=-(2.0880146*10^(-4))*x^2-0.0490457*x+9.8838828"]
[]
["x                  f(x)               "]
["1                  9.8346283          ",null,null,9.8000000000000007,null,40.616800000000012,40.656800000000004]
["2                  9.7849562          ",null,null,9.8000000000000007,null,40.467200000000005,40.507199999999997]
["3                  9.7348665          ",null,null,9.6999999999999993,null,40.311199999999999,40.351199999999992]
["4                  9.6843592          ",null,null,9.6999999999999993,null,40.148800000000008,40.188800000000001]
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{"sheet":"Sheet5","index":35,"n_rows":97,"n_cols":18,"rows_kept":97,"cut":false,"hidden":true,"merged":[[3,2,6,3],[3,4,6,5],[3,16,6,17],[3,6,6,7],[3,8,6,9],[3,10,6,11],[3,12,6,13],[3,14,6,15]]}
[]
[]
[]
[null,null,"M&H A 18905     MAR = 5.73         Ww = 8.39",null,"S&S A 186---           MAR = 5.69          Ww = 7.66",null,"Renner Action Model MAR =  5.75          Ww = 8.12",null,"S&S A circa 1916   Knuckle = 15.5      MAR 6.62            Ww = 8.04",null,"S&S O 1927  Knuckle = 16.2          MAR = 5.64                     Ww  = 7.46",null,"Young Chang mdl. MAR = 5.58          Ww = 7.36             ",null,"Petrov                MAR = 5.72         Ww = 8.07",null,"S&S B circa 1924 Knuckle = 15.5          MAR = 6.70         Ww = 8.82"]
[]
[]
[]
[null,"Note","Simple","Stanwood","Simple","Stanwood","Simple","Stanwood","Simple","Stanwood","Simple","Stanwood","Simple","Stanwood","Simple","Stanwood","Simple","Stanwood"]
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