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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.6806430331584603,4.6786046999262663E-2,-2.6338569861591976,0.99894358967101959,20.220730469313065,null,11.705995958545572,0.20430817170176988,-11.501687786843801,0.97991883132720337,1.0204926857519399,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC99","v":5.5447121391468919},5.5487832381668332,5.7742927288536077,5.1364157079671848,null,null,null,null,null,null,null,null,null,null,1.0474198788681102,1.82809255370887E-2,-1.0291389533310216,-1.7960897376816491E-2,{"$f":"ABS(AV99)*'Simple AR Calculator'!$C$8","v":4.0412019097837106},5.5406537096692512,22.390900352965581,45,null,null,null,null,8.6362779474584048,0.15073148530052702,-8.4855464621578776,-0.14755991548369057,1.0474198788681102,8.2452874169155184,67.984764587545385,1.5555586244734441,5.5518820130496733,30.823393886824494,0,null,null,14.642193477602227,0.25555448589819746,-14.386638991704029,0.96864112767932087]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.6338569861591976,4.5969476435132717E-2,-2.587887509724065,0.99898013733240387,20.201280681262396,null,11.501687786843801,0.20074232141684406,-11.300945465426958,0.98061142501080878,1.0197719244286569,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC100","v":5.5486310684318632},5.5541256052981183,5.7702144175375354,5.1327879212771919,null,null,null,null,null,null,null,null,null,null,1.0291389533310216,1.7961863196154591E-2,-1.0111770901348669,-1.7647453416440393E-2,{"$f":"ABS(AV100)*'Simple AR Calculator'!$C$8","v":3.9706770186990883},5.5447121391468919,22.016261066212426,null,null,null,null,null,8.4855464621578776,0.14810072459561138,-8.3374457375622661,-0.14500287610150731,1.0291389533310216,8.2452874169155166,67.984764587545357,1.5401570539341032,5.5095332261621017,30.354956370184176,0,null,null,14.386638991704029,0.25109421870103249,-14.135544773002996,0.96972069640663994]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.587887509724065,4.5167157715921703E-2,-2.5427203520081432,0.99901542079539951,20.182485886879082,null,11.300945465426958,0.19723870696002344,-11.103706758466934,0.9812802067031291,1.0190769090918128,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC101","v":5.5524152614173428},5.559297844699933,5.7662817857195776,5.1292897211006627,null,null,null,null,null,null,null,null,null,null,1.0111770901348669,1.76483695435889E-2,-0.99352872059127795,-1.7339478395798927E-2,{"$f":"ABS(AV101)*'Simple AR Calculator'!$C$8","v":3.9013826390547584},5.5486310684318632,21.647332920899927,null,null,null,null,null,8.3374457375622661,0.14551587932682861,-8.1919298582354383,-0.14248952176972696,1.0111770901348669,8.2452874169155184,67.984764587545385,1.5247554833947623,5.468054273856108,29.899617541836047,0,null,null,14.135544773002996,0.24671179785197675,-13.88883297515102,0.97076328391090672]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.5427203520081432,4.4378842100011306E-2,-2.4983415099081316,0.99904948377502079,20.164324599758782,null,11.103706758466934,0.19379624211119476,-10.90991051635574,0.98192598995245961,1.0184066927981155,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC102","v":5.5560693214347125},5.5643049057520084,5.7624894752743501,5.1259163412158806,null,null,null,null,null,null,null,null,null,null,0.99352872059127795,1.7340347387444582E-2,-0.97618837320383334,-1.7036876950805867E-2,{"$f":"ABS(AV102)*'Simple AR Calculator'!$C$8","v":3.83329731393132},5.5524152614173428,21.284058507422369,null,null,null,null,null,8.1919298582354383,0.14297614811864071,-8.0489537101167983,-0.14001913848581196,0.99352872059127795,8.2452874169155184,67.984764587545385,1.5093539128554214,5.4274413631311997,29.457119750227456,0,null,null,13.88883297515102,0.24240586467594508,-13.646427110475075,0.97177014445571408]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.4983415099081316,4.3604285187143432E-2,-2.4547372247209882,0.99908236847561094,20.14677600139218,null,10.90991051635574,0.19041385960836235,-10.719496656747378,0.98254956086162049,1.0177603653123379,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC103","v":5.5595976965195764},5.5691516242529548,5.7588323357831115,5.1226632001627506,null,null,null,null,null,null,null,null,null,null,0.97618837320383334,1.7037701232094079E-2,-0.95915067197173931,-1.6739555377320421E-2,{"$f":"ABS(AV103)*'Simple AR Calculator'!$C$8","v":3.766399959897095},5.5560693214347125,20.926379269437181,null,null,null,null,null,8.0489537101167983,0.14048074358215135,-7.9084729665346467,-0.13759102222555938,0.97618837320383334,8.2452874169155201,67.984764587545413,1.4939523423160805,5.3876910809875449,29.027215184152741,0,null,null,13.646427110475075,0.23817508421120603,-13.40825202626387,0.9727424906219142]
[null,null,"ITF=((Leverage*86)-194)+(StrikeWt-10)*(44+((Leverage-5)*8))",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.4547372247209882,4.2843246842649188E-2,-2.4118939778783388,0.99911411564298047,20.129819922767066,null,10.719496656747378,0.18709051081676617,-10.532406145930612,0.98315167898987987,1.0171370515559008,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC104","v":5.5630046845151417},5.5738427229899683,5.7553054157553234,5.1195258934340933,null,null,null,null,null,null,null,null,null,null,0.95915067197173931,1.6740337248622943E-2,-0.94241033472311642,-1.6447421602405816E-2,{"$f":"ABS(AV104)*'Simple AR Calculator'!$C$8","v":3.7006698605413089},5.5595976965195764,20.574235632244882,50,null,null,null,null,7.9084729665346467,0.13802889207099292,-7.7704440744636534,-0.13520447889594178,0.95915067197173931,8.2452874169155184,67.984764587545385,1.4785507717767397,5.3488004047579789,28.60966576993912,0,null,null,13.40825202626387,0.23401814479550573,-13.174233881468364,0.97368149463387621]
[null,null,"Example:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.4118939778783388,4.2095491123000289E-2,-2.3697984867553386,0.99914476461475255,20.113436826324602,null,10.532406145930612,0.18382516540377553,-10.348580980526837,0.9837330782268956,1.0165359101296301,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC105","v":5.5662944380172812},5.5783828124671864,5.7519039542699133,5.1165001860402848,null,null,null,null,null,null,null,null,null,null,0.94241033472311642,1.6448163245740225E-2,-0.92596217147737614,-1.6160385156077605E-2,{"$f":"ABS(AV105)*'Simple AR Calculator'!$C$8","v":3.6360866601174613},5.5630046845151417,20.227567123536453,null,null,null,null,null,7.7704440744636534,0.13561983344147419,-7.6348242410221792,-0.13285882428230297,0.94241033472311642,8.2452874169155184,67.984764587545385,1.4631492012373988,5.3107667132593974,28.204243082664021,0,null,null,13.174233881468364,0.22993375765941532,-12.944300123808949,0.97458828964767141]
[null,null,"    Leverage 5.4",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.3697984867553386,4.1360786202659892E-2,-2.3284377005526786,0.99917435336897276,20.097607788276527,null,10.348580980526837,0.18061681101945648,-10.16796416950738,0.98429446763942774,1.0159561319065806,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC106","v":5.5694709691655193},5.5827763917784905,5.7486233730129932,5.1135820054265606,null,null,null,null,null,null,null,null,null,null,0.92596217147737614,1.6161088641196541E-2,-0.90980108283617955,-1.5878357143533899E-2,{"$f":"ABS(AV106)*'Simple AR Calculator'!$C$8","v":3.5726303572951275},5.5662944380172812,19.886312486903559,null,null,null,null,null,7.6348242410221792,0.13325282081691414,-7.5015714202052646,-0.13055338399033331,0.92596217147737614,8.2452874169155184,67.984764587545385,1.4477476306980579,5.2735877988216151,27.810728271880208,0,null,null,12.944300123808949,0.22592065652677581,-12.718379467282173,0.97546397100197824]
[null,null,"    StrikeWt = 9.5 g",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.3284377005526786,4.0638904302210031E-2,-2.2877987962504687,0.99920291857104626,20.082314481283063,null,10.16796416950738,0.1774644529827146,-9.9904997165246652,0.98483653229155921,1.0153969386910919,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC107","v":5.5725381542841124},5.58702784961294,5.7454592686903432,5.1107674347236767,null,null,null,null,null,null,null,null,null,null,0.90980108283617955,1.5879024433701004E-2,-0.89392205840247851,-1.560125021785959E-2,{"$f":"ABS(AV107)*'Simple AR Calculator'!$C$8","v":3.5102812990184078},5.5694709691655193,19.550409788487649,null,null,null,null,null,7.5015714202052646,0.13092712035608894,-7.3706442998491752,-0.12828749338322776,0.90980108283617955,8.2452874169155184,67.984764587545385,1.432346060158717,5.2372618802568018,27.428912002391012,0,null,null,12.718379467282173,0.22197759722211635,-12.496401870060057,0.97630959743250811]
[null,null,"    Result in ITF calculator: 247",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.2877987962504687,3.9929621617733578E-2,-2.2478691746327351,0.99923049561905697,20.067539157494,null,9.9904997165246652,0.17436711397291554,-9.8161326025517504,0.98535993403915423,1.014857581940473,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC108","v":5.5754997383773688},5.5911414653806064,5.7424074057942738,5.1080527063138055,null,null,null,null,null,null,null,null,null,null,0.89392205840247851,1.5601883175328292E-2,-0.87832017522715022,-1.5328978553196872E-2,{"$f":"ABS(AV108)*'Simple AR Calculator'!$C$8","v":3.4490201744692963},5.5725381542841124,19.219796517125801,null,null,null,null,null,7.3706442998491752,0.12864201102572029,-7.2420022888234552,-0.12606049751440532,0.89392205840247851,8.2452874169155184,67.984764587545385,1.4169444896193761,5.2017876168381862,27.058594410691096,0,null,null,12.496401870060057,0.21810335728492458,-12.278298512775132,0.97712619225075736]
[null,null,"    Calculation:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.2478691746327351,3.9232718251428621E-2,-2.2086364563813063,0.9992571186875262,20.05326463195334,null,9.8161326025517504,0.17132383372688798,-9.6448087688248627,0.98586531229926688,1.0143373415459438,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC109","v":5.5783593394832192},5.5951214104475984,5.7394637097057783,5.1054341956946816,null,null,null,null,null,null,null,null,null,null,0.87832017522715022,1.5329578944407306E-2,-0.86299059628274288,-1.5061457818374455E-2,{"$f":"ABS(AV109)*'Simple AR Calculator'!$C$8","v":3.3888280091342526},5.5754997383773688,18.894409678333925,55,null,null,null,null,7.2420022888234552,0.12639678437693463,-7.1156055044465205,-0.12387175105614816,0.87832017522715022,8.2452874169155184,67.984764587545385,1.4015429190800353,5.1671641233627463,26.6995850777671,0,null,null,12.278298512775132,0.2142967355906491,-12.064001777184483,0.97791474448789351]
[null,null,"    ((5.4*86)-194)+(9.5-10)*(44+((Leverage-5)*8))",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.2086364563813063,3.8547978143433921E-2,-2.1700884782378722,0.99928282076966346,20.039474266367833,null,9.6448087688248627,0.16833366874121447,-9.4764751000836487,0.9863532847952039,1.013835524669672,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC110","v":5.5811204528890386},5.5989717494694595,5.7366242601140964,5.1029084156261,null,null,null,null,null,null,null,null,null,null,0.86299059628274288,1.5062027318883E-2,-0.84792856896385993,-1.4798605150987951E-2,{"$f":"ABS(AV110)*'Simple AR Calculator'!$C$8","v":3.3296861589722888},5.5783593394832192,18.574185882451076,null,null,null,null,null,7.1156055044465205,0.1241907443256238,-6.9914147601208967,-0.12172061822449834,0.86299059628274288,8.2452874169155184,67.984764587545385,1.3861413485406944,5.1333909863793519,26.351703019040777,0,null,null,12.064001777184483,0.21055655197831658,-11.853445225206167,0.97867621000458482]
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[null,null,"    270.4 + -0.5*(44+3.2)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.1322132892330279,3.7214142251894497E-2,-2.0949991469811335,0.99933158828457969,20.013282100359056,null,9.3110794081039305,0.16250899258605839,-9.148570415517872,0.9872793792244845,1.0128845198666132,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC112","v":5.5863606083589294},5.6062993430548174,5.7312431533251136,5.098121751226655,null,null,null,null,null,null,null,null,null,null,0.83312942361371678,1.4540851537301952E-2,-0.81858857207641478,-1.4286579760320887E-2,{"$f":"ABS(AV112)*'Simple AR Calculator'!$C$8","v":3.2144804460721996},5.5837864552135867,17.948972375326878,null,null,null,null,null,6.8693915531842578,0.11989350021175246,-6.7494980529725055,-0.11752869754969912,0.83312942361371678,8.2452874169155184,67.984764587545385,1.3553382074620126,5.0683965930893251,25.688644024839476,0,null,null,11.646563578321519,0.203270880984563,-11.443292697336956,0.98012154489383596]
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[null,"activation code"]
[null,{"$f":"DATEVALUE(MONTH(A71) & \"/\" & DAY(A71) & \"/\" & YEAR(A71))","v":{"$error":"#VALUE!"}}]

{"sheet":"HRK","index":2,"n_rows":30,"n_cols":14,"rows_kept":30,"cut":false,"hidden":true,"merged":[]}
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[null,null,null,null,{"$f":"'Max Summary'!E19","v":8.4026641998149856},null,{"$f":"'Max Summary'!E10","v":5.3382716049382708},null,{"$f":"'Max Summary'!E14","v":1.956521739130435}]
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[null,null,null,null,{"$f":"G22/E22","v":0.63530702619959656},null,{"$f":"E22/G22","v":1.574042091084676},null,null,null,null,null,null,{"$f":"E22/E27","v":1.120355226641998}]
[null,null,null,null,7.5,null,{"$f":"G22","v":5.3382716049382708},null,null,null,null,null,null,{"$f":"1/N26","v":0.89257404814120023}]
[null,null,null,null,{"$f":"E22/2","v":4.2013320999074928},null,{"$f":"IF(E22<E27,((E28 * N27)+0.4),E27/2)","v":3.75},null,null,null,null,null,null,{"$f":"G27*N26","v":5.9807604938271588}]
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[null,null,null,null,{"$f":"udfsizeoval(\"Oval 2\",E28)","v":{"$error":"#NAME?"}},null,{"$f":"udfsizeautoshape(\"AutoShape 12\",G28)","v":{"$error":"#NAME?"}}]

{"sheet":"Identities","index":3,"n_rows":91,"n_cols":35,"rows_kept":91,"cut":false,"hidden":true,"merged":[]}
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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,{"$f":"J38*I42","v":4.2070320558419692},4.2243478697051398,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1987]
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[null,null,null,null,0.19262655561729078,null,18.154468111598522,93.058388218696408,null,null,null,null,null,null,null,null,null,null,19.912307751739878]
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[null,null,null,null,"VR recession",null,"Shk I recession",null,null,null,null,null,null,null,null,null,null,null,19.912307751739878]
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["AR arc",{"$f":"AH9/AE30","v":5.0799886655115873},"WipRo =",{"$f":"D6/S10","v":1.4694942372116133},{"$f":"'Simple AR Calculator'!D9","v":94},null,{"$f":"G9*E35","v":43.933188150544808},"per 21.4",null,"arc",{"$f":"(J13/360) * (6.28 * M13)","v":112.24603962971473},null,"lift Ro",null,null,null,null,"arc L =",{"$f":"(T13/360) * (6.28 * U10)","v":4.8546944325346582},null,{"$f":"'Simple AR Calculator'!D7","v":124.61540835707277},null,{"$f":"U10/1000","v":0.12461540835707277},null,null,null,null,null,null,null,{"$f":"(AC17*360) /( 6.28*AC9)","v":18.734912735738853},"is Sk ang.  ",null,null,null,null,null,null,null,null,null,null,null,{"$f":"H33","v":22.291758566788758}]
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["Sk ro",{"$f":"E35","v":6.1645682496825547},{"$f":"AC15*M13","v":6.7774156798562339},null,null,null,null,null,null,"arc L =  θ / 360 * (2πr) ",null,null,null,null,{"$f":"O20*E35","v":31.280135381881774},"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,{"$f":"AN16/AR18","v":6.930128643102262},"sk ro"]
["Sk ro",{"$f":"E36","v":6.930128643102262},{"$f":"AE14/G8","v":7.2854847713182025},{"$f":"AC16 / C19","v":6.5195253751595903},null,"Si =",{"$f":"G8/ SIN(RADIANS(B14))","v":18.882499825345882},{"$f":"G20* AC15","v":6.0648721244712007},null,{"$f":"AE10 / 360 *(6.28 * M13)","v":6.8962148218009274},null,null,null,null,{"$f":"ABS(O14-O17)","v":4.7979160417204554},"NET RISE",null,{"$f":"AE14/O20","v":9.209317778512645},null,null,null,null,null,null,null,null,{"$f":"AE10","v":18.734912735738853}]
["AR =",{"$f":"B17*B18*B20","v":5.1972596677444605},{"$f":"B17*B18*C20","v":5.004059666277433},{"$f":"B17*B18*C20","v":5.004059666277433}," ","Sro =",{"$f":"AC9 / G20","v":7.2854847713182025},null,null,null,null,null,null,null,{"$f":"O14/O17","v":1.3838332833376363},"verticals ro",null,null,null,null,null,"arc L =  θ / 360 * (2πr) ",null,{"$f":"(T29/360) * (6.28 * U26)","v":4.8571543775543713},"mm"]
[{"$f":"AE30 * B17 * B18* B20","v":45.567724569892022},{"$f":"B21*AE30","v":45.567724569892015},{"$f":"C21*AE30","v":44.288043777065994},{"$f":"B13-C22","v":0.67200374621683778},null,"Ham rise>",{"$f":"G21*G8","v":44.185533502827205},{"$f":"AE14","v":44.185533502827205},null,null,null,null,null,null,{"$f":"K11/O20","v":1.437335451857561},"knk_arc/net rise",null,null,null,null,null,null,null,null,null,null,null,null,null,"arc L =  θ / 360 * (2πr) ",null,{"$f":"(AC29/360) * (6.28 * AC26)","v":8.7654188332024372},"mm",null,null,null,null,null,null,null,null,null,{"$f":"AP37","v":13.649536464724228},"mm"]
[null,null,null,null,null,null,null,null,null,null,"Knuckle",null,null,null,{"$f":"O21*P18","v":43.286492448755226},"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,{"$f":"(D6*E27) / H33","v":43.977693875152518},"jack_arc*sk ro",null,null,"Wippen",{"$f":"G8/V27","v":1.3551078793926612},null,null,null,null,null,null,null,{"$f":"V11/AE30","v":0.55342560538095165}]
[null,null,null,"arc L =  θ / 360 * (2πr) ",null,{"$f":"(B37/360) * (6.28 * E27)","v":44.960047523282832},"mm arc",null,null,null,null,null," ",null,{"$f":"(K11*E27) / H33","v":44.960047523282711},"knk_arc*sk ro",null,"arc L =",{"$f":"(T29/360) * (6.28 * U26)","v":4.8571543775543713},null,{"$f":"'Simple AR Calculator'!C10","v":64}]
[null,null,null,null,null,{"$f":"AE14","v":44.185533502827205},"mm vert",null,null,null,null,null,null,null,{"$f":"P18/O20","v":6.5195253751595921},"aka skro / 21.4",null,null,null,null,{"$f":"'Simple AR Calculator'!D10","v":64},null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C8","v":225}]
[null,null,null,null,{"$f":"'Simple AR Calculator'!D11","v":137.41906709041507},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":4.8409604567926019}]
[null,{"$f":"C28-2","v":44},{"$f":"'Simple AR Calculator'!C15","v":46}]
[null,null,{"$f":"DEGREES(ATAN(C30))","v":17.754466249801371},"degrees",null,null,null,null,null,360,"degrees",null,null,{"$f":"ABS(O33)","v":6.4230307567854359},{"$f":"M30*K30","v":19.829223116542266},"mm shortening",null,null,null,{"$f":"'Simple AR Calculator'!C149","v":4.3505562697043532},"degrees",null,{"$f":"U26*U30","v":63.815589510831643},"mm shortening",null,null,null,null,{"$f":"'Simple AR Calculator'!F72","v":2.2332277282044428},"degs",{"$f":"AC26*AC30","v":224.8291093516327},"mm shortening"]
[null,null,{"$f":"B28/E27","v":0.32018846388361916},null,{"$f":"B28/E27","v":0.32018846388361916},null,{"$f":"B28/D33","v":0.33846153846153848},{"$f":"DEGREES(ATAN(G30))","v":18.698982804181121},"degrees","cos =",{"$f":"COS(RADIANS(J29))","v":1},null,{"$f":"H34","v":19.829223116542266},null,{"$f":"K31*M30","v":-4.8587484126540095E-15},"mm vertical",null,null,null,"cos =",{"$f":"COS(RADIANS(T29))","v":0.99711858610674442},null,{"$f":"U31*W29","v":4.8409604567926019},"mm vertical rise",null,null,null,"cos =",{"$f":"COS(RADIANS(AC29))","v":0.99924048600725646},null,{"$f":"AC31*AC26","v":8.7676443901191075},"mm vertical rise",null,null,null,null,null,null,null,null,null,21.4]
[null,null,null,"degrees",{"$f":"DEGREES(ASIN(E30))","v":18.674322761263568},null,null,null,null,"sine =",{"$f":"SIN(RADIANS(J29))","v":-2.45029690981724E-16},null,null,null,{"$f":"O30*E36","v":-3.3671751544161197E-14},"ham rise",null,null,null,"sine =",{"$f":"SIN(RADIANS(T29))","v":7.5858587124246951E-2},null,{"$f":"U26-W29","v":0.18441048916835712},"run scrub",null,null,null,"sine =",{"$f":"SIN(RADIANS(AC29))","v":3.8967308400529366E-2},null,{"$f":"AC26-AE29","v":0.17089064836730472},"capstan scrub run"]
[null,null,null,null,null,null,null,null,null,341.1,"degrees",null,null,null,{"$f":"M30*K33","v":18.760137667485346},"mm lengthening",null,null,null,"Degrees =",{"$f":"(S25*360) / (6.28 * U26)","v":4.3505562697043532},null,{"$f":"W30/W31","v":26.251003826431255},"slope",null,null,null,"Degrees =",{"$f":"(AE30*360) / (6.28 * AC26)","v":2.2337947490749319},null,{"$f":"AE30/AE31","v":51.3055832714399},"slope",null,null,null,null,null,null,null,null,null,{"$f":"AR18","v":19.829223116542266}]
[null,null,null,130,null,null,null,{"$f":"'Simple AR Calculator'!D12","v":22.291758566788758},"mm","cos =",{"$f":"COS(RADIANS(J32))","v":0.9460853588275453},null,null,null,{"$f":"K34*M30","v":-6.4230307567854359},"mm vertical",null,null,null,null,null,null,null,null,null,null,null,"radians =",{"$f":"RADIANS(AC29)","v":3.8977176804000563E-2}]
[null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!F16","v":19.829223116542266},"mm","sine =",{"$f":"SIN(RADIANS(J32))","v":-0.32391741819814956},null,null,null,{"$f":"(O33*E36) * -1","v":44.512429423125546},"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,{"$f":"E27/H33","v":6.1645682496825547},"Ro",null,21.4,"?",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"sine",{"$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":6.930128643102262},"Ro",null,null,null,null,null,null,null,null,{"$f":"O33*-1","v":6.4230307567854359},"NET RISE",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"cos",{"$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":13.649536464724228}]
[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":14.38361024582416}]
[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 =",{"$f":"AN37-AP37","v":4.091867587953665}]
[null,null,null,null,94,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21.5,0.36649999999999999,0.93042000000000002,34.5,87.5,null,null,null,null,"ham rise =",{"$f":"AN40*AR11","v":25.224597014604303},null,{"$f":"AN40*AR19","v":28.357168775059456}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,22,0.37461,0.92718,35.200000000000003,87.2]
[null,null,null,null,null,{"$f":"D60-D57","v":6.608035777407899},"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,{"$f":"E10","v":94},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"cos",{"$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":7.133945492032983}]
[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":88.331106353875398},"mm horizontal",null,null,"Rθ = So ang. / Ki ang. ",null,null,{"$f":"B14/AC29","v":9.0497505238143869},{"$f":"K56^2","v":81.897984543278767},null,"Rθ = So ang. / Ki ang. ",null,null,{"$f":"B14/AC29","v":9.0497505238143869},{"$f":"Q56^2","v":81.897984543278767}]
[null,"sine = ",{"$f":"SIN(RADIANS(B55))","v":0.34202014332566871},{"$f":"C57*I49","v":32.14989347261286},"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,{"$f":"B55+T29","v":24.350556269704352},"degrees jack top deployed",null,null,null,null,"where x = (dip * So) / Ki ",null,null,{"$f":"(AE30 * AC9) / AC26","v":5.354851167425239},null,null,"where x = (dip * So) / Ki ",null,null,{"$f":"(AE30 * AC8) / AC26","v":4.9878154752677588}]
[null,"cos = ",{"$f":"COS(RADIANS(B58))","v":0.9110398125722684},{"$f":"C59*I49","v":85.637742381793231},"mm horizontal",null,null,"Then: Rθ =  (AR * dip) / x ",null,null,{"$f":"(B9 * AE30) / K58","v":8.2085287468061505},{"$f":"K59^2","v":67.379944187142954},null,"Then: Rθ =  (AR * dip) / x ",null,null,{"$f":" (A4 * AE30) / Q58","v":9.3836805555555536},{"$f":"Q59^2","v":88.053460768711389}]
[null,"sine = ",{"$f":"SIN(RADIANS(B58))","v":0.4123183962768166},{"$f":"C60*I49","v":38.757929250020759},"mm vertical",null,null,"SW_A61 = ",null,null,{"$f":"C4","v":9.3663274745605936},{"$f":"1/K59","v":0.12182451092579644},null,"SW_A61 = ",null,null,{"$f":"C4","v":9.3663274745605936},{"$f":"1/Q59","v":0.10656799259944498}]
[null,null,null,null,null,null,null,"I_SW =",null,null,{"$f":"K60*(AC9/1000)^2","v":0.17687372802960222},null,null,"I_SW =",null,null,{"$f":"Q60*(AC9/1000)^2","v":0.17687372802960222}]
[null,null,null,null,null,null,null,"SW_E44 = ",null,null,{"$f":"'Key Leads'!H189","v":10.455839500462533},null,8.74,"SW_E44 = ",null,null,{"$f":"'Key Leads'!H189","v":10.455839500462533}]
[null,null,null,null,null,null,null,"I_SW =",null,null,{"$f":"K62*(AC9/1000)^2","v":0.19744807312673446},null,{"$f":"M62*(AC9/1000)^2","v":0.16504616},"I_SW =",null,null,{"$f":"K62*(AC9/1000)^2","v":0.19744807312673446}]
[null,null,null,null,null,null,null,"I_sys =",null,null,{"$f":"(K61*L59) * 10","v":119.17741922806499},{"$f":"('Key Leads'!F60/1000*'Key Leads'!D67^2) * 10000","v":2.6399300000000006},{"$f":"(M63*L59) * 10","v":111.20801049102266},"I_sys =",null,null,{"$f":"(Q63*R59) * 10","v":173.8598616092257},{"$f":"('Key Leads'!F60 / 1000*'Key Leads'!D67^2) * 10000","v":2.6399300000000006}]
[null,null,null,null,null,null,null,"Plus I_ki (motor)",null,null,{"$f":"(AC26/10)^2 * A3","v":25.3125},null,null,"Plus I_ki (motor)",null,null,{"$f":"(AC26/10)^2 * A3","v":25.3125}]
[null,null,null,null,null,null,null,"Total I felt at key",null,null,{"$f":"K64+K65","v":144.48991922806499},null,null,"Total I felt at key",null,null,{"$f":"Q64+Q65","v":199.1723616092257}]
[null,null,null,null,null,null,null,"Force_capstan =",null,null,{"$f":"((K60/1000 * 'Simple AR Calculator'!C26* 'Simple AR Calculator'!C25)  ) + 'Key Leads'!F60 / 1000","v":0.11482608695652174},null,null,"Force_capstan =",null,null,{"$f":"((K60/1000 * 'Simple AR Calculator'!C26* 'Simple AR Calculator'!C25)  ) + 'Key Leads'!F60 / 1000","v":0.11482608695652174}]
[null,null,null,null,null,null,null,"I_capstan =",null,null,{"$f":" (K67 * W10 ^2)","v":1.7831343043478265E-3},{"$f":"K66+L64","v":147.12984922806498},null,"I_capstan =",null,null,{"$f":" (Q67 * W9 ^2)","v":1.5185750000000001E-3},{"$f":"Q66+R64","v":201.8122916092257}]
[null,null,null,null,null,null,null,"Torq_o =",{"$f":"(K64/10000) * K59","v":9.7827127170373951E-2},{"$f":"K60/50","v":0.18732654949121186},"Inertia =",{"$f":"I69/K59","v":1.1917741922806499E-2},null,"Torq_o =",{"$f":"(Q64/10000) * Q59","v":0.16314454027740707},{"$f":"Q60/50","v":0.18732654949121186},"Inertia =",{"$f":"O69/Q59","v":1.738598616092257E-2}]
[null,null,null,null,null,null,null,null,{"$f":"B4","v":0.18732654949121186},null,null,null,null,null,{"$f":"B4","v":0.18732654949121186}]
[null,{"$f":"G3","v":"Krakauer 5'10\""},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,{"$f":"(C79*(C80*C85)/(C84 * C82 + C80 * C85))","v":118.09342587568345},"is Kodar",null,"H",null,"KoDar",{"$f":"'Simple AR Calculator'!D7","v":124.61540835707277},"per sarc"]
[null,"WH  = ","line from balance hole to wippen center, aka the magic line",null,null,null,null,null,null,"ra = Widar",null,{"$f":"F72","v":118.09342587568345},"per here",null,null,null,null,null,"τ = Iα"]
[null,"v = ","kidar (e.g. 240 mm)",null,null,null,null,null,null,null,null,{"$f":"L72-L73","v":6.5219824813893155},"mm"]
[null,"Ss = ","(profile rise * Wodar) / Widar",null,null,{"$f":"(C81 * C82) /  U26","v":7.1604494680454955},null,null,null,null,"P",null,null,null,null,null,null,null,"τ = torque, around a defined axis (N∙m)"]
[null,"s = ","full dip, inc AT"]
[null,"rs = ","Wodar",null,null,null,null,null,null,null,{"$f":"C90","v":{"$error":"#REF!"}},null,null,null,null,null,null,null,"I = moment of inertia (kg∙m2)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"v"]
[null,"WH = ",{"$f":"((C83 * C86) / C87) + C83","v":179},null,206.5,"enter actual when available",null,null,null,null,{"$f":"C86","v":115},null,null,null,null,null,"A",null,"α = angular acceleration (radians/s2)"]
[null,"v = ",{"$f":"'Simple AR Calculator'!D8","v":225},null,null,null,null,null,"C",null,{"$f":"C88","v":179},null,"W","underside of key",null,{"$f":"C80","v":225}]
[null,"pro_rise =",{"$f":"S25","v":4.8571543775543713},{"$f":"C81/2","v":2.4285771887771856}]
[null,"Wod =",{"$f":"'Simple AR Calculator'!E9","v":94.349228032083857}]
[null,"Wid =",{"$f":"'Simple AR Calculator'!D10","v":64},null,null,null,null,null,null,{"$f":"C79-F72","v":60.906574124316549},"is Wid here",null,{"$f":"L73/J83","v":1.9389274076496683},"Ro key out to whip in"]
[null,"s = targ ",{"$f":"AF22","v":8.7654188332024372},{"$f":"Compare!H9","v":10.024308600277667},{"$f":"C84/2","v":4.3827094166012186},null,null,null,null,{"$f":"C83-J83","v":3.093425875683451},"diff"]
[null,"Ss =",{"$f":"G9","v":7.1267258907884026},{"$f":"H9","v":"per ratio"},{"$f":"C85/2","v":3.5633629453942013}]
[null,"Kom =",{"$f":"'Simple AR Calculator'!C7","v":115},null,null,null,null,null,null," S S = o/h"]
[null,"Wim = ",{"$f":"'Simple AR Calculator'!C10","v":64},null,null,null,null,null,null,"sine =",{"$f":"C90/F72","v":{"$error":"#REF!"}},"per here",null,"tan =",{"$f":"SQRT(L73^2 - K79^2)","v":26.852508915472708},"is new cap"]
[null,"CW = ",{"$f":"C86+C87","v":179},null,null,null,null,null,null,"Ang W =",{"$f":"DEGREES(ASIN(K87))","v":{"$error":"#REF!"}},"degrees per here"]
[null,"heel  ht. =",22,null,null,"heel + cap",{"$f":"C89+C90","v":{"$error":"#REF!"}}]
[null,"Cap ht",{"$f":"Archives!#REF!","v":{"$error":"#REF!"}},null,null,null,null,null,null,"sine =",{"$f":"C90/L72","v":{"$error":"#REF!"}},"per sarc"]
[null,"Cos HCW",{"$f":"C88/C79","v":1},null,null,null,null,null,null,"Ang W",{"$f":"DEGREES(ASIN(K90))","v":{"$error":"#REF!"}},"degrees per sarc"]
[null,"ang. HWC ",{"$f":"DEGREES(ACOS(C91))","v":0},"degrees",{"$f":"C92+C93","v":90}]
[null,"ang. CHW ",{"$f":"90 - C92","v":90},"degrees",null,"new cap",{"$f":"O87","v":26.852508915472708},null,null,null,{"$f":"SQRT(L73^2 - K77^2)","v":{"$error":"#REF!"}}]
[null,null,null,null,null,"new heel",{"$f":"G89-G93","v":{"$error":"#REF!"}},null,null,null,{"$f":"K79-K93","v":{"$error":"#REF!"}}]
[null,"Pfieffer","jack top rise",null,null,null,{"$f":"G93+G94","v":{"$error":"#REF!"}}]
[null,"Ss = (dip * kod * wod) / (ki * wid)"]
[null,"Ss = ",{"$f":"(C84 * L72 * C82) / (C80 * C83)","v":7.1568230006453186},"mm"]

{"sheet":"INSTRUCTIONS","index":5,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":false,"merged":[]}

{"sheet":"Compare Page Instructions","index":6,"n_rows":9,"n_cols":12,"rows_kept":9,"cut":false,"hidden":false,"merged":[]}
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null," "]

{"sheet":"DipCalc","index":7,"n_rows":41,"n_cols":12,"rows_kept":41,"cut":false,"hidden":true,"merged":[[2,9,2,10],[25,2,25,4],[26,2,26,4]]}
[]
[]
[null,null,"Carried In Action Ratio ",null,null,null,{"$f":"'Simple AR Calculator'!C47","v":5.0146401277255741},{"$f":"'Simple AR Calculator'!H9","v":5.0146401277255741},null,"Aftertouch Chart"]
[null,null,null,null,null,null,null,null,null,"mm","Dec. Inch"]
[null,null,"Dip Target (inc. Aftertouch)",null,null,null,{"$f":"Compare!F9","v":10},null,null,1.25,4.9212598425196853E-2]
[null,null,"Aftertouch Target from Main Page",null,null,null,{"$f":"'Simple AR Calculator'!C22","v":1.25},null,null,1.113,4.3818897637795277E-2]
[null,null,"Let-off Target from Main Page",null,null,null,{"$f":"'Simple AR Calculator'!C16","v":2},null,null,1,3.9370078740157473E-2]
["BACK TO MAIN",null,"Hammer Flange Center Height (optional)",null,null,null,146]
[null,null,"String Height from Keybed (optional)",null,null,null,203,null,null,1.2,4.7244094488188976E-2]
[null,null,null,null,null,null,null,null,null,1.1499999999999999,4.5275590551181098E-2]
[null,null,null,null,null,null,null,null,null,1.1000000000000001,4.3307086614173228E-2]
[null,null,"Computed Key Travel to Pt. Of A'touch",null,null,null,{"$f":"G5-G6","v":8.75},{"$f":"'Simple AR Calculator'!D47","v":8.7743086002776671},{"$f":"H12+G6","v":10.024308600277667},1.05,4.133858267716535E-2]
[null,null,"Computed Hammer Trvl. to Pt. of L-O",null,null,null,{"$f":"G3*H12","v":44.000000000000007},{"$f":"G12*G3","v":43.878101117598774},null,0.95,3.7401574803149595E-2]
[]
[null,null,"Computed Hammer Bore",null,null,null,{"$f":"G9-G8","v":57}]
[null,null,"Computed Hammer Trvl. to String ",null,null,null,{"$f":"G7+G13","v":46.000000000000007},{"$f":"G7+H13","v":45.878101117598774},null,{"$f":"'Simple AR Calculator'!E28","v":1609706.1171828848},{"$f":"(J16*G12) / J17","v":43.878101117598767}]
[null,null,null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!E27","v":321001.32336175814}]
[null,null,null,null,null,null,{"$f":"G16","v":46.000000000000007}]
[null,null,null,null,null,null,{"$f":"G7","v":2}]
[]
[]
[]
[]
[]
[null,null,null,"Convenience Conversions",null,null,null,null,null,null,"Dec. Units","Fractions"]
[null,null,"   Inches to mm --- enter inches -->",null,null,null,{"$f":"F26*25.4","v":0},null,1,16,{"$f":"I26/J26","v":6.25E-2},"1/16\""]
[null,null,"mm to inches --- enter mm -->",null,null,null,{"$f":"F27/25.4","v":0},null,2,16,0.125,"1/8\""]
[null,null,null,null,null,null,null,null,3,16,0.1875,"3/16\""]
[null,null,null,null,null,null,null,null,4,16,0.25,"1/4\""]
[null,null,null,null,null,null,null,null,5,16,0.3125,"5/16\""]
[null,null,null,null,null,null,null,null,6,16,0.375,"3/8\""]
[null,null,null,null,null,null,null,null,7,16,0.4375,"7/16\""]
[null,null,null,null,null,null,null,null,8,16,{"$f":"I33/J33","v":0.5},"1/2\""]
[null,null,null,null,null,null,null,null,9,16,0.5625,"9/16\""]
[null,null,null,null,null,null,null,null,10,16,0.625,"5/8\""]
[null,null,null,null,null,null,null,null,11,16,0.6875,"11/16'"]
[null,null,null,null,null,null,null,null,12,16,0.75,"3/4\""]
[null,null,null,null,null,null,null,null,13,16,0.8125,"13/16'"]
[null,null,null,null,null,null,null,null,14,16,0.875,"7/8\""]
[null,null,null,null,null,null,null,null,15,16,0.9375,"15/16\""]
[null,null,null,null,null,null,null,null,16,16,1,"1.00\""]

{"sheet":"Archives","index":8,"n_rows":305,"n_cols":85,"rows_kept":305,"cut":false,"hidden":false,"merged":[[41,42,41,43],[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],[227,63,227,64],[227,61,227,62],[227,53,227,54],[227,59,227,60],[227,55,227,56],[227,57,227,58],[2,12,4,14],[1,2,1,4],[2,9,2,10],[38,2,38,14],[2,6,2,7]]}
[]
[null,null,"ENTRY AND / OR OUTGOING DATA",null,null,"   Using this page: Read >"]
["Compare Page",null,"      Data Entry","            Inputs in mm",null," < Read","Archives Below",null,null,"INCOMING DATA",null,null,"Action Geometry Program ver. AGP2023 © Oct 2023 by Nick Gravagne. All rights reserved. Do not copy or distribute without express permission."]
[null,null,"Piano Name","Krakauer 5'10\"","orig",null,null,null,null,"Krakauer 5'10\"","mod",null,null,null,null,null,null,null,null,null,"SSBadRick Orig",null,null,"SSA ca 1916",null,null,"SSD orig ","note 44",null,"SSO 215,109 12/2017",null,null,"YC Model mod","Low Ratio Mdl. Orig",null,"SSA Jason 179---",null,null,"SSL 367 ca 1949","mod",null,"SSL 367 ca 1949",null,null,"SSBadRick Orig","new KB",null,"Louie B 185644",null,null,"Yamaha Model",null,null,"Louie B 185644",null,null,"Bechstein 275",null,null,null,null,null,null,null,null,null,null,null,"R 220",null,null,"R 220","Mod",null,"SSO 215,109 12/2017",null,null,"SSBadRick Orig","New Keyboard",null,"YC Model mod","cap chg.",null,"Steinert C revision 1"]
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[null,null,"Key Input Arm",225,null,null,null,null,null,225,225,null,null,null,null,null,null,null,null,null,245,245,null,245,245,null,288,308,null,240,240,null,276,276,null,236,236,null,241,241,null,241,241,null,254,254,null,260,260,null,246,246,null,260,260,null,290,290,null,null,null,null,null,null,null,null,null,null,280,280,null,280,280,null,240,240,null,254,254,null,276,276,null,234.79999999999998,234.79999999999998]
[null,null,"Whippen Output Arm",94,null,null,null,null,null,94,94,{"$f":"'Simple AR Calculator'!E9","v":94.349228032083857},null,null,null,null,null,null,null,null,95.2,95.2,null,91,94.246964305730003,null,93.9,93.9,null,94.8,94.8,null,92,92,null,92.3,92.3,null,92.8,92.8,null,93.5,93.5,null,94.5,94.5,null,89.5,93.012539033717601,null,92,93.189719920166382,null,93,93,null,95.2,95.2,null,null,null,null,null,null,null,null,null,null,92,95.428659930502107,null,92,93.213729633967816,null,93,93,null,94.5,94.5,null,92,92,null,95,95]
[null,null,"Whippen Input Arm",67,null,null,null,null,null,64,64,null,null,null,null,null,null,null,null,null,68.099999999999994,68.099999999999994,null,60,63.906181234681831,null,68,68,null,65.900000000000006,65.900000000000006,null,62,62,null,64,64,null,61,61,null,61,61,null,66.599999999999994,66.599999999999994,null,63,67.416615162732697,null,60,63.906181234681831,null,67.400000000000006,67.400000000000006,null,59.5,59.5,null,null,null,null,null,null,null,null,null,null,67,70.213958726167832,null,62,65.459911396212561,null,62.5,62.5,null,67,67,null,59,59,null,67.599999999999994,67.599999999999994]
[null,null,"Shank Output Arm",128,null,null,null,null,null,128,137.41906709041507,null,null,null,null,null,null,null,null,null,130,137.56816492197603,null,130,137.56816492197603,null,130,140.01428498549711,null,130,137.89851340750559,null,130,141.94717327231282,null,130,137.89851340750559,null,130,138.57849761056005,null,130,138.57849761056005,null,130,137.56816492197603,null,130,137.56816492197603,null,130,137.56816492197603,null,130,137.56816492197603,null,128,135.67977004697494,null,null,null,null,null,null,null,null,null,null,130,139.28388277184121,null,130,139.28388277184121,null,130,137.56816492197603,null,130,137.56816492197603,null,130,141.94717327231282,null,129.19999999999999,138.86486236625879]
[null,null,"Shank Input Arm",18,null,null,null,null,null,18,22.291758566788758,null,null,null,null,null,null,null,null,null,15.5,0,null,15.5,null,null,16.2,20.523157651784484,null,15.5,20.262095153265864,null,17,21.566012612441828,null,16.2,20.733634510138351,null,16.2,20.771133815947554,null,15.5,20.229928324143909,null,16.2,20.771133815947554,null,16.2,20.896889720721596,null,17,21.400934559032695,null,16.2,20.896889720721596,null,17,21.400934559032695,null,null,null,null,null,null,null,null,null,null,17,21.310150163713065,null,17,21.310150163713065,null,15.5,20.262095153265864,null,16.2,20.771133815947554,null,17,21.566012612441828,null,16.2,21.119718274636146]
[null,null,"Knuckle Diameter",10,null,null,null,null,null,10,null,null,null,null,null,null,null,null,null,null,10,null,null,9.5,null,null,9.6,null,null,10,null,null,10,null,null,10,null,null,10,null,null,10,null,null,10,null,null,10,null,null,10,null,null,10,null,null,10,null,null,null,null,null,null,null,null,null,null,null,9.75,null,null,9.75,null,null,10,null,null,10,null,null,10,null,null,10.4]
[null,null,"Shank Thickness",6.3,null,null,null,null,null,6.3,null,null,null,null,null,null,null,null,null,null,6,null,null,6,null,null,6,null,null,6.1,null,null,6.54,null,null,5.88,null,null,6,null,null,6,null,null,6,null,null,6.4,null,null,6,null,null,6.4,null,null,6,null,null,null,null,null,null,null,null,null,null,null,6.2,null,null,6.2,null,null,6.1,null,null,6,null,null,6.54,null,null,6.3]
[null,null,"Mfg. Blow Distance",46,null,null,null,null,null,46,null,null,null,null,null,null,null,null,null,null,45,null,null,45,null,null,45,null,null,45,null,null,46,null,null,45,null,null,45,null,null,45,null,null,45,null,null,45,null,null,47,null,null,45,null,null,46,null,null,null,null,null,null,null,null,null,null,null,46,null,null,46,null,null,45,null,null,45,null,null,46,null,null,45]
[null,null,"Let-Off ",2,null,null,null,null,null,2,null,null,null,null,null,null,null,null,null,null,1.5,null,null,2,null,null,2,null,null,1.6,null,null,2,null,null,2,null,null,2,null,null,2,null,null,1.5,null,null,2,null,null,2,null,null,2,null,null,2,null,null,null,null,null,null,null,null,null,null,null,2,null,null,2,null,null,1.6,null,null,1.5,null,null,2,null,null,2]
[null,null,"Spread",114,null,null,null,null,null,114,null,null,null,null,null,null,null,null,null,null,112.5,null,null,111,null,null,112.5,null,null,113,null,null,113.5,null,null,111.5,null,null,112,null,null,112,null,null,112.5,null,null,112.5,null,null,112.5,null,null,112.5,null,null,115,null,null,null,null,null,null,null,null,null,null,null,115.5,null,null,112.5,null,null,111,null,null,112.5,null,null,113.5,null,null,113]
[null,null,"Key Length (optional)",452,null,null,null,null,null,452,null,null,null,null,null,null,null,null,null,null,520,null,null,500,null,null,420,null,null,483,null,null,535,null,null,480,null,null,515,null,null,515,null,null,520,null,null,515,null,null,492,null,null,515,null,null,482,null,null,null,null,null,null,null,null,null,null,null,541,null,null,541,null,null,483,null,null,520,null,null,535,null,null,487.4]
[null,null,"Capstan Height ",48,null,null,null,null,null,48,null,null,null,null,null,null,null,null,null,null,39,null,null,39,null,null,39,null,null,40,null,null,36,null,null,44.3,null,null,37.9,null,null,37.9,null,null,39,null,null,44,null,null,39,null,null,44,null,null,39,null,null,null,null,null,null,null,null,null,null,null,37.75,null,null,37.75,null,null,40,null,null,39,null,null,36,null,null,43.2]
[null,null,null," ",null,null,null,null,null," ",null,null,null,null,null,null,null,null,null,null," ",null,null," ",null,null,0,null,null,0,null,null,0,null,null,0,null,null,0,null,null,0,null,null," ",null,null,null,null,null,null,null,null," ",null,null,0,null,null,null,null,null,null,null,null,null,null,null,21,null,null,21,null,null,0,null,null," ",null,null,0,null,null,0]
[null,null,"Hammer Bore ",50,null,null,null,null,null,50,null,null,null,null,null,null,null,null,null,null,45,null,null,45,null,null,52,null,null,46,null,null,57,null,null,46,null,null,48,null,null,48,null,null,45,null,null,45,null,null,45,null,null,45,null,null,45,null,null,null,null,null,null,null,null,null,null,null,50,null,null,50,null,null,45,null,null,45,null,null,57,null,null,50.9]
[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,null,null,null,null,null,null,null,null,null,1.3,null,null,1.3,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25]
[null,null,"Key Ratio Front",null,null,null,null,"Key Ratio Front",null,1.956521739130435,1.8055552115616826]
[null,null,"Key Ratio Back",null,null,null,null,"Key Ratio Back",null,0.51111111111111107,0.55384625936476783]
[null,null,"Whip ratio",null,null,null,null,"Whip Ratio",null,1.46875,1.46875]
[null,null,"Shank ratio",null,null,null,null,"Shank Ratio",null,7.1111111111111107,6.1645682496825547]
[null,null,"Whip Weight",null,null,null,null,"Whip Weight",null,17]
[null,null,"DW Target",null,null,null,null,"DW Target",null,50]
[]
[null,null,"MAR ",null,null,null,null,"MAR",null,5.3382716049382708]
[null,null,"DAR ",null,null,null,null,"DAR",null,5.0146401277255741]
[null,null,"Dip ",null,null,null,null,"DIP",null,10.024308600277667]
[null,null,"Inertia ",null,null,null,null,"Inertia",null,211.55635282638573]
[null,null,"Capstan Change",null,null,null,null,"Capstan Change",null,3]
[]
[]
[]
[]
[]
[null,"To copy any data block below, left click in the name-heading box and drag down to capture the entire two column grid of all cells of any color. Right click, then select copy."]
[null,null,"Go to top, left grid (Entry and / or Outgoing 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"]
[]
[null,null,"Piano Name",null,null,null,"Yamaha Model",null,null,"SSM 1927 mod",null,null,"SSA ca 1916","mod",null,null,null,null,"Standard Action",null,null,"Louie B 185644",null,null,"SSM c1957",null,null,"Yamaha",null,null,"SSBadRick Orig",null,null,"Louie B 185644",null,null,"M&H AA mod 18905",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Bosie D. Skol"]
[null,null,"Key Output Arm",null,null,null,119.8,125.95733404609673,null,113,119.21828718783037,null,122.8,128.84424705822141,null,null,null,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,152,157.6295102447508]
[null,null,"Key Input Arm",null,null,null,246,246,null,238,238,null,245,245,null,null,null,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,308,308]
[null,null,"Whippen Output Arm",null,null,null,92.9,92.9,null,93.4,93.4,null,89.5,89.5,null,null,null,null,93.5,93.5,null,93.6,93.6,null,93.5,93.5,null,94.2,94.2,null,95.2,95.2,null,93.6,93.6,null,93.6,93.6,null,null,null,null,null,null,null,null,null,null,null,null,null,89.3,89.3]
[null,null,"Whippen Input Arm",null,null,null,62.2,62.2,null,63,63,null,63.2,63.2,null,null,null,null,66.3,66.3,null,69.599999999999994,69.599999999999994,null,64.8,64.8,null,64.8,64.8,null,66.3,66.3,null,67.099999999999994,67.099999999999994,null,66.7,66.7,null,null,null,null,null,null,null,null,null,null,null,null,null,62.63,62.63]
[null,null,"Shank Output Arm",null,null,null,130,138.92803892663281,null,130,137.56816492197603,null,130,137.56816492197603,null,null,null,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,130,138.78746341078505]
[null,null,"Shank Input Arm",null,null,null,17,21.145463461461421,null,16.2,20.771133815947554,null,17,21.100947846009191,null,null,null,null,17,21.400934559032695,null,16.2,20.783657041050308,null,16.2,20.461915843830461,null,17,21.400934559032695,null,15.5,20.229928324143909,null,16.2,20.783657041050308,null,17,21.400934559032695,null,null,null,null,null,null,null,null,null,null,null,null,null,17,19.941931325726703]
[null,null,"Knuck Diameter",null,null,null,10,null,null,10,null,null,9.5,null,null,null,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",null,null,null,5.15,null,null,6,null,null,6,null,null,null,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",null,null,null,46,null,null,45,null,null,45,null,null,null,null,null,45,null,null,45,null,null,45,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 ",null,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,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",null,null,null,112.5,null,null,112,null,null,111,null,null,null,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)",null,null,null,492,null,null,482,null,null,500,null,null,null,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 ",null,null,null,38.9,null,null,38,null,null,39,null,null,null,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,"Whippen Heel Height ",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," "]
[null,null,"Hammer Bore ",null,null,null,49,null,null,45,null,null,45,null,null,null,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 ",null,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,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",null,null,null,null,null,null,null,null,null,1.995114006514658,1.9015206778249927]
[null,null,"Key Ratio Back",null,null,null,null,null,null,null,null,null,0.50122448979591838,0.52589488595192413]
[null,null,"Whip ratio",null,null,null,null,null,null,null,null,null,1.4161392405063291,1.4161392405063291]
[null,null,"Shank ratio",null,null,null,null,null,null,null,null,null,7.6470588235294121,6.5195253751595912]
[null,null,"Whip Weight",null,null,null,null,null,null,null,null,null,17]
[null,null,"DW Target",null,null,null,null,null,null,null,null,null,50]
[]
[null,null,"MAR ",null,null,null,null,null,null,null,null,null,5.4279104046681974]
[null,null,"DAR ",null,null,null,null,null,null,null,null,null,4.8553538338592634]
[null,null,"Dip ",null,null,null,null,null,null,null,null,null,10.106203166932033]
[null,null,"Inertia ",null,null,null,null,null,null,null,null,null,217.75692483384123]
[null,null,"Capstan Change",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"]
[]
[null,null,"Piano Name","Yamaha Model",null,null,"Krakauer 5'10\"","orig",null,"Krakauer 5'10\"","mod",null,"SSA1 60402 mod",null,null,"Scott SSL",null,null,"SSB-VB",null,null,"SSB-VB","mod",null,"Bechstein",null,null,"SSA1 59673 mod",null,null,null,null,null,null,null,null,"SSO Asu 186339 Orig"]
[null,null,"Key Output Arm",117,123.3288287465668,null,112,121.85236969382254,null,115,124.61540835707277,null,120,126.08604205065683,null,114,120.16655108639841,null,130,135.4400236266961,null,130,135.4400236266961,null,143.75,148.94650885468917,null,120,125.9942855847042,null,null,null,null,null,null,null,116.86,122.88311356732461]
[null,null,"Key Input Arm",246,246,null,225,225,null,225,225,null,230,230,null,237,237,null,245,245,null,245,245,null,290,290,null,230,230,null,null,null,null,null,null,null,236,236]
[null,null,"Whippen Output Arm",93.2,93.2,null,94,94,null,94,94,null,91.7,91.7,null,94.4,94.4,null,92.8,92.8,null,92.8,92.826750589471786,null,95.2,95.2,null,94.1,94.1,null,null,null,null,null,null,null,93.9,93.9]
[null,null,"Whippen Input Arm",63.9,63.9,null,67,67,null,64,64,null,66.5,66.5,null,66.7,66.7,null,65.8,65.8,null,65.8,65.787536813594102,null,62.3,62.3,null,68.099999999999994,68.099999999999994,null,null,null,null,null,null,null,65.900000000000006,65.900000000000006]
[null,null,"Shank Output Arm",130,137.56816492197603,null,128,137.41906709041507,null,128,137.41906709041507,null,129,136.23303564113954,null,130,137.56816492197603,null,127,134.73678042761748,null,127,134.73678042761748,null,128,135.67977004697494,null,128,135.28651078359587,null,null,null,null,null,null,null,130,137.56816492197603]
[null,null,"Shank Input Arm",17,21.400934559032695,null,18,22.291758566788758,null,18,22.291758566788758,null,16.2,20.896889720721596,null,16.2,20.771133815947554,null,17,21.507687579095993,null,17,21.507687579095993,null,17,21.400934559032695,null,16.2,20.523157651784484,null,null,null,null,null,null,null,16.2,20.843301681835342]
[null,null,"Knuck Diameter",10,null,null,10,null,null,10,null,null,10.1,null,null,10,null,null,10,null,null,10,null,null,10,null,null,9.5,null,null,null,null,null,null,null,null,10]
[null,null,"Shank Thickness",6,null,null,6.3,null,null,6.3,null,null,6.2,null,null,6,null,null,6.35,null,null,6.35,null,null,6,null,null,6.2,null,null,null,null,null,null,null,null,6.23]
[null,null,"Blow Distance",47,null,null,46,null,null,46,null,null,45,null,null,45,null,null,45,null,null,45,null,null,46,null,null,45,null,null,null,null,null,null,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,null,null,null,2]
[null,null,"Spread",112.5,null,null,114,null,null,114,null,null,112.5,null,null,113,null,null,112.5,null,null,112.5,null,null,115,null,null,112.5,null,null,null,null,null,null,null,null,112.85]
[null,null,"Key Length (optional)",492,null,null,452,null,null,452,null,null,541,null,null,485,null,null,515,null,null,515,null,null,482,null,null,541,null,null,null,null,null,null,null,null,500]
[null,null,"Capstan Height ",39,null,null,48,null,null,48,null,null,38.700000000000003,null,null,38,null,null,38,null,null,38,null,null,39,null,null,38.4,null,null,null,null,null,null,null,null,38]
[null,null,null,null,null,null," ",null,null," ",null,null,null,null,null,null,null,null,0,null,null,null,null,null,0,null,null,null,null,null,null,null,null,null,null,null,0]
[null,null,"Hammer Bore ",45,null,null,50,null,null,50,null,null,43.8,null,null,45,null,null,45,null,null,45,null,null,45,null,null,43.8,null,null,null,null,null,null,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,null,null,null,1.25]
[null,null,"Key Ratio Front",null,null,null,2.0089285714285716,1.8464967120898483,null,1.956521739130435,1.8055552115616826]
[null,null,"Key Ratio Back",null,null,null,0.49777777777777776,0.5415660875281002,null,0.51111111111111107,0.55384625936476783]
[null,null,"Whip ratio",null,null,null,1.4029850746268657,1.4029850746268657,null,1.46875,1.46875]
[null,null,"Shank ratio",null,null,null,7.1111111111111107,6.1645682496825547,null,7.1111111111111107,6.1645682496825547]
[null,null,"Whip Weight",null,null,null,17,null,null,17]
[null,null,"DW Target",null,null,null,50,null,null,50]
[]
[null,null,"MAR ",null,null,null,4.9662207481112954,null,null,5.3382716049382708]
[null,null,"DAR ",null,null,null,4.6838952862443257,null,null,5.0146401277255741]
[null,null,"Dip ",null,null,null,10.643890621171506,null,null,10.024308600277667]
[null,null,"Inertia ",null,null,null,211.93388981202236,null,null,211.55635282638573]
[null,null,"Capstan Change",null,null,null,0,null,null,3]
[]
[]
[]
[]
[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,"Piano Name","SSA1 60402 orig","hank lea",null,"SSA1 59673 orig","hank lea",null,"SSB Teflon",null,null,"SSB Teflon","mod",null,null,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","mod"]
[null,null,"Key Output Arm",120,126.08604205065683,null,120,125.9942855847042,null,133.9,139.18767905242188,null,134.9,140.1499554049162,null,null,null,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",230,230,null,230,230,null,262,262,null,262,262,null,null,null,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",92.4,92.4,null,94.5,94.5,null,94.6,94.6,null,94.6,94.6,null,null,null,null,93.9,93.9,null,93.4,93.4,null,null,null,null,93,93,null,94.6,94.6,null,93.5,93.5,null,93.5,93.5]
[null,null,"Whippen Input Arm",66.5,66.5,null,68.099999999999994,68.099999999999994,null,67.8,67.8,null,66.8,66.8,null,null,null,null,66.7,66.7,null,68.599999999999994,68.599999999999994,null,null,null,null,65.8,65.8,null,64.8,64.8,null,65.8,65.8,null,64.3,64.3]
[null,null,"Shank Output Arm",129,136.23303564113954,null,128,135.28651078359587,null,130,137.56816492197603,null,130,137.56816492197603,null,null,null,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",15.5,20.359027481684876,null,16,20.365657367244495,null,17,21.100947846009191,null,17,21.100947846009191,null,null,null,null,16.2,20.523157651784484,null,17,21.160340261914506,null,null,null,null,17,21.400934559032695,null,17.3,21.16908122711045,null,17,21.400934559032695,null,17,21.400934559032695]
[null,null,"Knuck Diameter",10.1,null,null,9.5,null,null,9.5,null,null,9.5,null,null,null,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",6.2,null,null,6.2,null,null,6,null,null,6,null,null,null,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",45,null,null,45,null,null,45,null,null,45,null,null,null,null,null,45,null,null,45,null,null,null,null,null,44.966764597454528,null,null,47,null,null,46,null,null,46]
[null,null,"Let-Off ",2,null,null,2,null,null,2,null,null,2,null,null,null,null,null,2,null,null,2,null,null,null,null,null,2,null,null,2,null,null,2,null,null,2]
[null,null,"Spread",112.5,null,null,112.5,null,null,114,null,null,114,null,null,null,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)",541,null,null,541,null,null,520,null,null,520,null,null,null,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 ",38.700000000000003,null,null,38.4,null,null,38,null,null,38,null,null,null,null,null,38,null,null,38,null,null,null,null,null,38,null,null,38,null,null,38,null,null,38]
[null,null,"Whippen Heel Height "," ",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,"Hammer Bore ",43.8,null,null,43.8,null,null,45,null,null,45,null,null,null,null,null,52,null,null,52,null,null,null,null,null,45,null,null,45,null,null,45,null,null,45]
[null,null,"Aftertouch ",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,null,null,null,1.25,null,null,1.25,null,null,1.25,null,null,1.25]
[null,null,"Key Ratio Front"]
[null,null,"Key Ratio Back"]
[null,null,"Whip ratio"]
[null,null,"Shank ratio"]
[null,null,"Whip Weight"]
[null,null,"DW Target"]
[]
[null,null,"MAR "]
[null,null,"DAR "]
[null,null,"Dip "]
[null,null,"Inertia "]
[null,null,"Capstan Change"]
[]
[]
[]
[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"]
[]
[null,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,{"$f":"Y146","v":250},null,232,232,null,237,237,null,231,231]
[null,null,"Whippen Output Arm",92.6,92.561364585253969,null,92,{"$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,{"$f":"AA147","v":0},null,92.154943335453993,93.572637343303441,null,92.3,92.994498423112617,null,93,94.025884859927345]
[null,null,"Whippen Input Arm",65.8,65.787536813594102,null,64,{"$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,"Whippen 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"]
[null,null,"Key Ratio Back"]
[null,null,"Whip ratio"]
[null,null,"Shank ratio"]
[null,null,"Whip Weight"]
[null,null,"DW Target"]
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[null,null,"MAR "]
[null,null,"DAR "]
[null,null,"Dip "]
[null,null,"Inertia "]
[null,null,"Capstan Change"]
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[null,null,"Piano Name","M&H AA JS",null,null,null,null,null,null,null,null,"M. I. ",null,null,"SSL 367,119 "]
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[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,{"$f":"O181","v":0},null,93,93.869758464276686]
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[null,null,"Shank Input Arm",17,null,null,null,null,null,null,null,null,16.2,null,null,16]
[null,null,"Knuck Diameter",10,null,null,null,null,null,null,null,null,10,"change to 16.2 k and +2 to cap ",null,10,"new shanks and Abel hammers"]
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[null,null,"Blow Distance",47.830045368896386,null,null,null,null,null,null,null,null,47,null,null,44.5]
[null,null,"Let-Off ",1.6,null,null,null,null,null,null,null,null,2,null,null,2]
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[null,null,"Capstan Height ",39,null,null,null,null,null,null,null,null,39,null,null,43.94]
[null,null,"Whippen Heel Height ",22,null,null,null,null,null,null,null,null,22,null,null,18]
[null,null,"Hammer Bore ",48,null,null,null,null,null,null,null,null,52,null,null,48]
[null,null,"Aftertouch ",1.25,null,null,null,null,null,null,null,null,1.25,null,null,1.25]
[null,null,"Key Ratio Front"]
[null,null,"Key Ratio Back"]
[null,null,"Whip ratio"]
[null,null,"Shank ratio"]
[null,null,"Whip Weight"]
[null,null,"DW Target"]
[]
[null,null,"MAR "]
[null,null,"DAR "]
[null,null,"Dip "]
[null,null,"Inertia "]
[null,null,"Capstan Change"]
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[]
[]
[]
[]
[null,null,"Stuff below is interesting, but you don't need to use it."]
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[null,null,"MEASURE WHIPPEN HEEL HEIGHT --- ONE SIMPLE MEASUREMENT"]
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[null,null,null,null,{"$f":"C239","v":{"$error":"#REF!"}}]
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[null,null,null,61]
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[null,null,{"$f":"#REF!","v":{"$error":"#REF!"}},"Whippen Heel Height here"]
[null,null,{"$f":"#REF!","v":{"$error":"#REF!"}}," is carried in from Main Form"]
[null,null,{"$f":"SQRT(C238^2 + C239^2)","v":{"$error":"#REF!"}}," is Whippen Input Distance Radial Arm "]
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[]
[]
[]
[null,null,"MEASURE CAPSTAN-KEY HEIGHT --- ONE SIMPLE MEASUREMENT"]
[null,null,null,null,null,null,null,null,null,null,null,"`"]
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[]
[]
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[null,null,null,null,null,null,{"$f":"C266","v":{"$error":"#REF!"}}]
[null,null,null,{"$f":"C264","v":{"$error":"#REF!"}}]
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[null,null,null,null,null,null,{"$f":"C265","v":{"$error":"#REF!"}}]
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[]
[]
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[null,null,{"$f":"#REF!","v":{"$error":"#REF!"}},"Height of Capstan Screw"]
[null,null,{"$f":"#REF!","v":{"$error":"#REF!"}}," is carried in from Main Form"]
[null,null,{"$f":"SQRT(C264^2 + C265^2)","v":{"$error":"#REF!"}}," is Key Out Distance Radial Arm"]
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[]
[]
[null,null,"MEASURE HAMMER BORE --- ONE SIMPLE MEASUREMENT"]
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[]
[]
[]
[]
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[]
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[null,null,{"$f":"#REF!","v":{"$error":"#REF!"}}," Hammer Bore Dimension"]
[null,null,{"$f":"#REF!","v":{"$error":"#REF!"}}," is carried in from Main Form"]
[null,null,{"$f":"SQRT(C297^2 + C298^2)","v":{"$error":"#REF!"}}," is Key Out Distance Radial Arm"]
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[null,null,{"$f":"C266","v":{"$error":"#REF!"}}]
[null,null,{"$f":"'Simple AR Calculator'!C8","v":225}]
[null,null,{"$f":"'Simple AR Calculator'!E9","v":94.349228032083857}]
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[null,null,{"$f":"C299","v":{"$error":"#REF!"}}]

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[null,"Click for Instructions for this Page"]
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[null,{"$f":"'Simple AR Calculator'!C6","v":"Krakauer 5'10\""},null,null,null,null,null,"Read Why You Are Here --->>>"]
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[null,"Piano Size","  = Large Grands to Medium Large",null,null,null,{"$f":"((H5/F6)-1) *100","v":-0.27704291454824226},{"$f":"'Simple AR Calculator'!H8","v":5.0146401277255741},"Action Ratio per your measurements",null,null,null,null,null,null,null,null,null,{"$f":"H9","v":10.024308600277667},"mm"]
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[{"$f":"'Simple AR Calculator'!C8","v":225},"Enter a trial knuckle dimension change >>",null,null,null,null,null,"The items under consideration are below."]
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[null,"Try a 2 to 1 Key Ratio",null,null,null,"Archives"]
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[null,"Comp_Res"]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,"  THEORETICAL MAXIMUM HAMMER WEIGHTS FOR THIS ACTION "]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Note # to Hammer Weight Summary for Action ",null,null,null,null,{"$f":"B3","v":"Krakauer 5'10\""}]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Changes (if any) made here on the Compare Page",null,null,"Original Input Data from the Archives Page"]
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[null,null,null,null,null,null,"B      75",{"$f":"'Key Leads'!I220","v":5.5715980573543016},{"$f":"'Key Leads'!C220","v":11.439000000000002},{"$f":"'Key Leads'!F220","v":47},{"$f":"'Key Leads'!L220","v":1.6740869565217393},{"$f":"'Key Leads'!J220","v":90.024796288592228},112.53099536074028,{"$f":"'Key Leads'!K220","v":2.0926086956521739},{"$f":"'Key Leads'!AG220","v":3.1389130434782611}]
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["Top"]

{"sheet":"Ham_Wts","index":13,"n_rows":97,"n_cols":15,"rows_kept":97,"cut":false,"hidden":false,"merged":[[6,2,6,13],[7,2,7,4],[7,6,7,8],[7,10,7,12]]}
[]
[null,null,"READ"]
[]
[]
[]
[]
[null,null,"PIANO SIZE"]
[null,null,"Heavy Zone Mdl D-B",null,null,null,"Less Heavy Mdl B-A",null,null,null,"Least Heavy Mdl A-M"]
[null,"Note","SW","Hammer","FW","Leads","SW","Hammer","FW","Leads","SW","Hammer","FW","Leads"]
[null,"A     1",12.5,11,41.740624999999994,6.1837962962962951,11.5,9.9,36.049999999999997,5.3407407407407401,10.7,9.1,31.489999999999995,4.6651851851851847,9.8797105494999027]
[null,"A#   2",12.454826418054548,10.954826418054548,41.483169463097383,6.1456547352736868,11.452039652386343,9.8520396523863436,35.776626018602144,5.3002408916447621,10.660148305748828,9.0601483057488288,31.262845342768316,4.6315326433730837,9.8494136709910354]
[null,"B     3",12.40942803391107,10.90942803391107,41.224432722267665,6.107323366261876,11.403985839253012,9.8039858392530128,35.502719283742167,5.2596621161099506,10.619605881559263,9.0196058815592632,31.03175352488779,4.5972968185018948,9.8039683532277273]
[null,"C     4",12.363786649415418,10.863786649415418,40.964311061680817,6.0687868239527134,11.355825561918476,9.7558255619184759,35.228205702935298,5.2189934374718963,10.578377926903903,8.978377926903903,30.796754183352235,4.562482101237368,9.7736714747188582]
[null,"C#   5",12.317884066413455,10.817884066413455,40.70270076550689,6.0300297430380576,11.307545821701208,9.7075458217012081,34.953011183696873,5.178223879066203,10.536469641255367,8.9364696412553677,30.557876955155592,4.527092882245273,9.7282261569555519]
[null,"D     6",12.271702086751045,10.771702086751045,40.439498117915903,5.9910367582097637,11.25913361991968,9.6591336199196807,34.677061633542166,5.1373424642284693,10.493886224086266,8.8938862240862662,30.315151477291707,4.4911335521913642,9.6979292784466811]
[null,"D#   7",12.225222512274049,10.725222512274049,40.174599403077877,5.9517925041596857,11.21057595789237,9.6105759578923706,34.400282959986498,5.0963382162942956,10.450632874869209,8.8506328748692091,30.068607386754479,4.4546085017414043,9.6524839606833748]
[null,"E     8",12.17842714482833,10.67842714482833,39.907900905162862,5.9122816155796833,11.161859836937747,9.5618598369377477,34.122601070545159,5.0552001585992832,10.406714793076809,8.806714793076809,29.818274320537796,4.4175221215611549,9.6070386429200703]
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[null,"G    11",12.035964303137444,10.535964303137444,39.095969554656079,5.791995489578678,11.014630733694727,9.414630733694727,33.283395182059934,4.9308733603051751,10.271024146973661,8.6710241469736609,29.044837637749865,4.3029389092962766,9.500999568139024]
[null,"G#  12",11.987723782275443,10.487723782275443,38.821034766133323,5.7512644097975292,10.965150790215578,9.3651507902155782,33.001359504228788,4.8890902969227836,10.224499129605993,8.6244991296059936,28.779645038754154,4.2636511168524676,9.4555542503757177]
[null,"A     13",11.939076477674021,10.439076477674021,38.543781615383665,5.7101898689457284,10.915447394401475,9.3154473944014757,32.718050148088409,4.8471185404575419,10.177335377026036,8.5773353770260368,28.510811649048406,4.2238239480071718,9.2623709282707694]
[null,"A#   14",11.890004191179049,10.390004191179049,38.264106386577197,5.6687565017151407,10.865507547570898,9.2655075475708983,32.433393021154117,4.8049471142450546,10.129538088706406,8.5295380887064063,28.238367105626509,4.1834617934261491,9.2169256105074648]
[null,"B    15",11.840488724636378,10.340488724636378,37.981905363883882,5.626948942797612,10.815318251042314,9.2153182510423139,32.147314030941189,4.7625650416209169,10.081112464119705,8.4811124641197058,27.962341045482319,4.1425690437751586,9.1866287319985922]
[null,"C    16",11.790511879891882,10.290511879891882,37.697074831473813,5.5847518268850092,10.764866506134199,9.1648665061341994,31.859739084964929,4.7199613459207299,10.032063702738549,8.4320637027385494,27.682763105609723,4.1011500897199591,9.1411834142352877]
[null,"C#  17",11.740055458791408,10.240055458791408,37.409511073516938,5.5421497886691764,10.714139314165024,9.1141393141650244,31.570594090740627,4.6771250504800932,9.9823970040355494,8.3823970040355498,27.399662923002637,4.0592093219263168,9.0957380964719832]
[null,"D    18",11.689101263180833,10.189101263180833,37.119110374183364,5.4991274628419795,10.66312367645326,9.0631236764532606,31.279804955783575,4.6340451786346035,9.9321175674833171,8.3321175674833174,27.113070134654905,4.0167511310599862,9.0654412179631105]
[null,"D#  19",11.637631094906004,10.137631094906004,36.82576901764304,5.4556694840952655,10.611806594317381,9.0118065943173811,30.987297587609078,4.590710753719863,9.8812305925544575,8.2812305925544578,26.823014377560412,3.9737799077867275,9.019995900199806]
[null,"E     20",11.585626755812788,10.085626755812788,36.529383288066029,5.4117604871208931,10.560175069075855,8.9601750690758557,30.692997893732368,4.5471107990714623,9.8297412787215848,8.2297412787215851,26.529525288713032,3.9303000427723012,8.9745505824365015]
[null,"F     21",11.533070047747053,10.033070047747053,36.229849469622394,5.3673851066107252,10.508216102047166,8.9082161020471666,30.396831781668851,4.503234338025015,9.7776548254573186,8.1776548254573189,26.232632505106722,3.8863159266824772,8.929105264673197]
[null,"F#   22",11.479942772554649,9.979942772554649,35.927063846482085,5.3225279772566054,10.455916694549773,8.8559166945497729,30.098725158933703,4.4590703939161038,9.7249764322342553,8.1249764322342557,25.932365663735254,3.8418319501830007,8.8836599469098889]
[null,"G    23",11.426226732081448,9.9262267320814477,35.620922702815193,5.2771737337503986,10.40326384790216,8.8032638479021603,29.798603933042315,4.4146079900803432,9.6717112985250164,8.0717112985250168,25.628754401592587,3.7968525039396428,8.8382146291465844]
[null,"G#  24",11.371903728173304,9.8719037281733044,35.31132232279171,5.231307010783957,10.350244563422793,8.7502445634227932,29.496394011509921,4.3698361498533211,9.6178646238022107,8.0178646238022111,25.321828355672601,3.7513819786181632,8.7927693113832781]
[null,"A     25",11.316955562676084,9.8169555626760836,34.998158990581672,5.1849124430491367,10.296845842430146,8.6968458424301467,29.192021301851838,4.3247438965706424,9.5634416075384436,7.963441607538444,25.011617162969131,3.7054247648843157,8.5844375500238943]
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[null,"G#    84",6.3135262182271115,4.8135262182271115,6.4823642992308663,0.96035026655272093,6.0068961271838663,4.4068961271838667,4.7393079249480365,0.70211969258489426,5.5194881397519584,3.9194881397519583,1.9610823965861641,0.29053072542017244,3.600438148871115]
[null,"A       85",6.1877657353117606,4.6877657353117606,5.7656238669755524,0.854166498811193,5.9069436281991123,4.3069436281991127,4.1695786807349364,0.61771536010887951,5.4399996659088874,3.8399996659088873,1.5079980956806622,0.22340712528602402,3.4943990740900679]
[null,"A#     86",6.0602700034048835,4.5602700034048835,5.0389938169052826,0.74651760250448629,5.8058187731279016,4.205818773127902,3.5931670068290416,0.53232103804874686,5.3602520183541307,3.7602520183541306,1.0534365046185457,0.15606466735089566,3.4035084385634562]
[null,"B       87",5.9310208243523421,4.4310208243523421,4.3023704331900916,0.63738821232445797,5.7035085632887048,4.1035085632887043,3.0099988107456142,0.44592574974009097,5.2802503965602963,3.6802503965602962,0.59742726039368677,8.8507742280546184E-2,3.2974693637824108]
[null,"C       88",5.8,4.3,3.55565,0.52676296296296299,5.6,3.9999999999999996,2.4199999999999946,0.35851851851851774,5.2,3.6,0.14000000000000057,2.0740740740740823E-2,3.2065787282557991]

{"sheet":"Key Leads","index":14,"n_rows":326,"n_cols":41,"rows_kept":326,"cut":false,"hidden":false,"merged":[[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],[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],[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],[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]]}
[]
[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",{"$f":"'Simple AR Calculator'!C6","v":"Krakauer 5'10\""}]
[null,null,"As a result of Action Geometry data you entered at the Main Form (AR Calculator) this worksheet has automatically been run."]
[]
[null,null,"Note that this form takes additional inputs:               "]
[null,null,"                                                                                               ",null,null,null,"  1) Friction (a default of 12 grams is already in place, but you may change)."]
[null,null,null,null,null,null,"  2) Weight of a single key lead that represents the keys you are working with, e.g.15 grams,"]
[null,null,"                                                                                                                                                                                                                                                  ",null,null,null,"       or plan to use on a new set of keys (if replacing). Default is 13.8 grams but you may change.."]
[]
[null,null,"Other optional inputs exist as well.",null,null,null,"   3) A trial hammer / strike weight value that is different from the carried over theoretical hammer."]
[null,null,null,null,null,null,"   4) Optional, downweight default is for 50 grams, but you may change in columns below. "]
[]
[]
[]
[]
[]
[]
[null,null,"The drawings below depict the transference of grams-force as it develops downward from the hammer mass, then through the whippen,"]
[null,null,"and finally through the key resulting in a balancing downweight of 50 gms (+ or -). The roadmap trail of the red arrows indicates the direction of the flow."]
[null,null,"A full grasp of what follows is not required to accomplish the basic task of working up an action per indications and program implications."]
[null,null,"Lastly, a useful and practical theoretical range of hammer weights for notes 1 to 88 is indicated at the bottom of this page."]
[]
[]
[null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C11","v":128}]
[null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!D11","v":137.41906709041507}]
[]
[null,null,{"$f":"'Simple AR Calculator'!H12","v":9.3663274745605936},null,null,"7.628 (128.3 / 18.3) + (2.544 / 2) (128.3 / 18.3) = 62.4"]
[null,"Diff SW-->",9.3663274745605936]
[null,null,null,null,null,null,{"$f":"(3.5/2)*(G26/(K34))","v":12.444444444444443},null,null,null,null,null,"Dr. Walter Pfeiffer Moments Box"]
[null,null,null,null,null,"Σm = (a x b) - (d x d) = 0",null,null,null,null,null,null,"pv = p'Ko",{"$f":"O37*N56","v":11250},{"$f":"G67*F59","v":11250}]
[null,null,null,null,null,null,null,null,null,null,null,null,"p'wi = qwo",{"$f":"F59*D49","v":6260.869565217391},{"$f":"F44*G44","v":6260.869565217391}]
[null,null,null,null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C12","v":18},null,"p' = p * (V / WD) ",null,{"$f":"O37*(N56/G67)","v":97.826086956521735}]
[null,null,null,null,null,null,null,null,null,null,null,null,"q' = p' (HD_2 / HD_3)",null,{"$f":"F59*(D49/G44)","v":66.6049953746531}]
[null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C26","v":7.1111111111111107},null,null,null,null,null,"q_h = q' (Si / So)",null,{"$f":"O35*(K34/G26)","v":9.3663274745605918}]
[null,null,null,null,null,null,null,null,null,null,null,null,"Related DW =",null,{"$f":"C29*C79","v":50}]
[]
[]
[null,"Read this"]
[]
[null,null,null,null,null,null,null,null,null,{"$f":"C30*G36","v":66.6049953746531},"grams force down onto top of jack"]
[]
[null,null,null,null,null,{"$f":"J42","v":66.6049953746531},{"$f":"'Simple AR Calculator'!C9","v":94}]
[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,{"$f":"'Simple AR Calculator'!C10","v":64},null,null,{"$f":"'Simple AR Calculator'!C25","v":1.46875}]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"L56*1000","v":225}]
[]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C8/1000","v":0.22500000000000001},"km",{"$f":"L56*1000","v":225}]
[null,null,null,null,null,null,null,null,null,null,"Center",{"$f":"(L56/2)","v":0.1125},{"$f":"L57*1000","v":112.5},"mm"]
[null,null,null,null,"Enter Whippen Weight -->",null,null,null,null,null,"Fr. 3rd",{"$f":"((L56*5)/8)","v":0.140625},null,{"$f":"L58*1000","v":140.625},"mm"]
[null,null,null,null,null,{"$f":"J42*G49","v":97.826086956521735},null,null,null,null,null,{"$f":"L56/L58","v":1.6},null,{"$f":"(H69*0.625)/C78","v":140.625}]
[null,null,null,null,null,{"$f":"'Simple AR Calculator'!F6","v":17},{"$f":"F60/1000","v":1.7000000000000001E-2},null,null,{"$f":"K60/1000","v":5.6250000000000001E-2},{"$f":"M57/2","v":56.25},{"$f":"L56/L57","v":2}]
[null,null,null,null,null,{"$f":"F59+F60","v":114.82608695652173},"grams force onto capstan",null,null,null,{"$f":"L56/J60","v":4},{"$f":"(L56/3)*2","v":0.15}]
[null,null,null,null,null,null,null,null,null,{"$f":"K62/1000","v":7.4999999999999997E-2},{"$f":"(L54/3)","v":75},{"$f":"L56-0.045","v":0.18},null,{"$f":" L62-L58","v":3.9374999999999993E-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":9.7826086956521729E-2},{"$f":"'Simple AR Calculator'!D7/1000","v":0.12461540835707277},{"$f":"(C67*D67^2)","v":1.5191413043478261E-3},null,{"$f":"G68*1000","v":115},null,null,{"$f":"'Simple AR Calculator'!C24","v":0.51111111111111107}]
[null,null,{"$f":"F61/1000","v":0.11482608695652173},null,{"$f":"(C68*D67^2)","v":1.7831343043478263E-3},null,{"$f":"'Simple AR Calculator'!C7/1000","v":0.115},null,null,null,{"$f":"E88","v":2.452016460905349},"number of                          ",{"$f":"D81","v":13.8},"gm leads required"]
[null,null,null,null,null,{"$f":"G69* (C67)","v":1.125E-2},{"$f":"'Simple AR Calculator'!C7/1000","v":0.115},{"$f":"G69*1000","v":115}]
[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":58.688888888888883},{"$f":"(P70-50)/1000","v":8.6888888888888832E-3}]
[null,null,null,null,null,null,null,null,null,null,null,"Friction -->",12,"DW w/o Lds. + Friction",null,{"$f":"P70+M71","v":70.688888888888883},{"$f":"M71/1000","v":1.2E-2}]
[null,null,"Below worksheets calculate number of leads required per leads of your choice. We suggest 1/2\" leads. Data is based on the Action Ratio numbers you entered at the Control Page.  ",null,null,null,null,null,null,null,null,"Lead gms",13.8,"UW w/ Friction",null,{"$f":"P71-(M71*2)","v":46.688888888888883}]
[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":9.3663274745605936},"SW_Bal",{"$f":"C75/1000","v":9.3663274745605929E-3},"Strikeweight ---- hammer",null,null,null,{"$f":"E75*1000","v":9.3663274745605936},null,null,null,"Balance Weight",null,{"$f":"K86","v":38}]
[null,null,{"$f":"G36","v":7.1111111111111107},"Shk_RO",{"$f":"$E$75*$C$76","v":6.66049953746531E-2},"per hammer ratio force at jack top",null,null,null,{"$f":"E76*1000","v":66.6049953746531},null,null,null,"Front Weight",null,{"$f":"M81","v":20.688888888888897}]
[null,null,{"$f":"G49","v":1.46875},"Wip_RO",{"$f":"$E$76*$C$77","v":9.7826086956521743E-2},"gram force at capstan",null,null,null,97.826086956521749]
["KIW      =",5.7,{"$f":"J67","v":0.51111111111111107},"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":11.15217391304348},{"$f":"'Simple AR Calculator'!C46","v":5.3382716049382708},"MAR",{"$f":"$E$77+$E$78","v":0.11482608695652174},"gram force at capstan plus WW",null,null,null,114.82608695652175,null,"FW = (SW * AR) + (WW * KR) - BW",null,null,null,"AR = BW + FW - (WW * KR)"]
["Ld. Adj. =",{"$f":"J84-B79","v":21.950048309178737},null,null,{"$f":"$E$79*$C$78","v":5.8688888888888888E-2},"gm force at key end or Bal. Weight (BW)",null,null,null,58.68888888888889,{"$f":"J80-J82","v":8.68888888888889},"SW =",{"$f":"J75","v":9.3663274745605936},"grams",null,null,"SW"]
[null,null,"Lead gms",{"$f":"M72","v":13.8},{"$f":"$E$80+M70","v":7.0688888888888884E-2},"DW plus friction at key end (w/o leads)",null,null,null,70.688888888888883,{"$f":"K80*C88","v":17.000000000000004},"FW =",{"$f":"(J75*D89) + (F60 * D88) - J86","v":20.688888888888897},"grams",{"$f":"M81/1000","v":2.0688888888888896E-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 =",{"$f":"C75","v":9.3663274745605936}]
[null,null,null,1.9E-2,{"$f":"$E$81-$E$82","v":2.0688888888888882E-2},"Diff = grams mass req'd at key end = FW",null,null,null,{"$f":"E83*1000","v":20.688888888888883},{"$f":"M71*C88","v":23.478260869565219},"Note     SW  FW_max",null,null,null,"BW =",{"$f":"J86","v":38}]
[null,null,{"$f":"L59","v":1.6},null,{"$f":"E83*C84","v":3.3102222222222213E-2},"Lead (LW) req'd center (or front 3rd of key)",null,null,null,{"$f":"E84*1000","v":33.102222222222217},{"$f":"K81+K83","v":40.478260869565219},"49         9      26.4",null,null,null,"FW =",{"$f":"M81","v":20.688888888888897}]
[null,null,{"$f":"1/C84","v":0.625},null,{"$f":"$E$79-$E$84","v":8.1723864734299531E-2},"pro-rata force at capstan (less LW required)",null,null,null,81.723864734299525,{"$f":"J79-K84","v":74.34782608695653},null,null,null,null,"WW =",{"$f":"F60","v":17}]
[null,null,{"$f":"L56*C85","v":0.140625},null,{"$f":"$E$85*1/$C$89","v":3.7999999999999999E-2},"x key ratio is adjusted BW",null,null,null,{"$f":"E86*1000","v":38},{"$f":"K85/C88","v":38},null,null,null,null,"KR = ",{"$f":"D88","v":0.51111111111111107}]
[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":5.3382716049382717}]
[null,null,{"$f":"'Simple AR Calculator'!C23","v":1.956521739130435},{"$f":"1/C88","v":0.51111111111111107},{"$f":"$K$88/(D81)","v":2.452016460905349},{"$f":"D81","v":13.8},"gram leads are required",null,null,null,{"$f":"(J84*C87)/C88","v":33.837827160493816},"BW = (SW * AR) + (WW * KR) - FW",null,null,null,null,{"$f":"(J75*D89) + (F60 * D88) - M81","v":38}]
[null,null,{"$f":"J85/(D82-M71)","v":2.1506280193236718},{"$f":"C76*C77*D88","v":5.3382716049382717},null,7.6164059638977051,"kg cm2","Fr 3rd",140.625,"mm",{"$f":"J84/1000","v":3.3102222222222213E-2},null,{"$f":"O81*L56^2","v":1.0473750000000003E-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":0.51230298913043482},null,null,"UWwf =",{"$f":"P71-(M71*2)","v":46.688888888888883}]
[null,null,null,null,null,null,null,null,null,null,null,null,3.7328280000000001E-4]
[null,null,"Try Out Different Hammer or Strike Weight Values Here",null,null,null,null,null,null,null,null,null,{"$f":"M89+M90+M91","v":0.51372364693043482}]
[null,null,"Enter Hammer Weight Here --->>",null,null,7.7,null,null,null,null,null,"SW = (((BW + FW) - (WW * KR)) / AR) "]
[null,null,{"$f":"'Simple AR Calculator'!H20/1000","v":1.2E-2},null,null,{"$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":9.3663274745605936},null,null,null,null,null,"BW = (SW * AR) + (WW * KR) - FW"]
[null,null,{"$f":"F96","v":9.3663274745605936},"SW_Bal",{"$f":"C94","v":1.2E-2},"Strikeweight ---- hammer",null,null,null,{"$f":"E97*1000","v":12},null,"FW = (SW * Sro * Wro + WW) * Kro - BW",null,null,null,{"$f":"(C75*C76*C77+F60) * C78 -Q83","v":20.688888888888883}]
[null,null,{"$f":"C76","v":7.1111111111111107},"Shk_RO",{"$f":"E97*C98","v":8.533333333333333E-2},"per hammer ratio force at jack top",null,null,null,85.333333333333329]
[null,null,{"$f":"C77","v":1.46875},"Wip_RO",{"$f":"E98*C99","v":0.12533333333333332},"gram force at capstan",null,null,null,125.33333333333333]
[null,null,{"$f":"C78","v":0.51111111111111107},"Key_RO",{"$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,{"$f":"C79","v":5.3382716049382708},"MAR",{"$f":"E99+E100","v":0.14233333333333331},"gram force at capstan plus WW",null,null,null,142.33333333333331,null,"FW = (SW * AR) + (WW * KR) - BW",null,null,null,"AR = BW + FW - (WW * KR)"]
[null,null,null,null,{"$f":"E101*C100","v":7.2748148148148131E-2},"gram force at key end or BW",null,null,null,72.748148148148132,null,"SW =",{"$f":"J97","v":12},"grams",null,null,"SW"]
[null,null,"Lead gms",{"$f":"M72","v":13.8},{"$f":"E102+(M71/1000)","v":8.4748148148148128E-2},"DW plus friction at key end",null,null,null,84.748148148148132,null,"FW =",{"$f":"(J97*D111) + (F60 * D110) - J108","v":34.748148148148147},"grams"]
[null,null,"Enter DW",{"$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":12}]
[null,null,null,null,{"$f":"E103-E104","v":3.4748148148148125E-2},"Diff = grams mass req'd at key end = FW",null,null,null,34.748148148148125,null,"Note     SW  FW_max",null,null,null,"BW =",{"$f":"J108","v":38}]
[null,null,{"$f":"C87","v":2},null,{"$f":"E105*C106","v":6.949629629629625E-2},"Lead (LW) req'd center (or front 3rd of key)",null,null,null,69.496296296296251,{"$f":"J106/1000","v":6.949629629629625E-2},"60         8.7      21.3",null,null,null,"FW =",{"$f":"M103","v":34.748148148148147}]
[null,null,{"$f":"1/C106","v":0.5},null,{"$f":"E101-E106","v":7.2837037037037061E-2},"pro-rata frc. at capstan minus (LW required)",null,null,null,72.837037037037064,{"$f":"K106 + (E109/10)*D110","v":7.2051851851851811E-2},null,null,null,null,"WW =",{"$f":"F60","v":17}]
[null,null,{"$f":"L56*C107","v":0.1125},null,{"$f":"E107*(1/C111)","v":3.7999999999999999E-2},"x key ratio is adjusted BW",null,null,null,38,{"$f":"E101-K107","v":7.02814814814815E-2},null,null,null,null,"KR = ",{"$f":"D110","v":0.51111111111111107}]
[null,null,{"$f":"L60","v":2},null,{"$f":"E108+(M71/1000)","v":0.05},"plus gram friction = practical DW",null,null,null,50,{"$f":"K108*D110","v":3.5921646090534984E-2},null,null,null,null,"AR = ",{"$f":"((J108+Q106) - (Q107*Q108)) / Q104","v":5.3382716049382717}]
[null,null,{"$f":"'Simple AR Calculator'!C23","v":1.956521739130435},{"$f":"1/C110","v":0.51111111111111107},{"$f":"E106/(D103/1000)","v":5.0359634997316114},{"$f":"D103","v":13.8},"gram leads are required",null,null,null,{"$f":"K109+Q71","v":4.7921646090534981E-2},"BW = (SW * AR) + (WW * KR) - FW",null,null,null,null,{"$f":"(Q104*Q109) + (Q107 * Q108) - M103","v":38}]
[null,null,{"$f":"J107/(D104-M71)","v":1.9167641325536069},{"$f":"C98*C99*D110","v":5.3382716049382717},{"$f":"K107*L57^2","v":9.1190624999999952E-4},9.2887503957748283,"kg cm2","Fr. 3rd",150,"mm",null,null,null,null,null,"UW =",{"$f":"(Q110*2) - D104","v":26}]
[null,null,{"$f":"1/C111","v":0.52171260042713297},null,null,"Lead Inert",null,null,null,null,null,null,null,null,null,null,{"$f":"(J108*2) - D104","v":26}]
[]
[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",{"$f":"'Simple AR Calculator'!C18/1000","v":0.45200000000000001},null,"Key Ln est.",{"$f":"IF(N56*2>0.275,G117+0.245,N56*2)","v":0.47},null,"I (whip) = 0.019 * ((0.1118^2) / 3) = 0.0000792 ",null,null,null,null,{"$f":"J118*((K118^2)/3)","v":5.0443402038084239E-5}]
[null,null,null,null,null,"Key Front",{"$f":"L56","v":0.22500000000000001}]
[null,null,"Key Ht.",{"$f":"0.0254","v":2.5399999999999999E-2},null,null,null,null,null,{"$f":"G60","v":1.7000000000000001E-2},{"$f":"'Simple AR Calculator'!E9/1000","v":9.4349228032083857E-2}]
[null,null,"Key Wid",{"$f":"D118/2","v":1.2699999999999999E-2},1.29E-2]
[null,null,"Key Vol",{"$f":"IF(D116>0.1,PRODUCT(D116:D119),(G120))","v":1.4580615999999999E-4},null,null,{"$f":"PRODUCT(G116,D118,D119)","v":1.5161259999999999E-4}]
[null,null,"Spruce fac",450,null,null,{"$f":"G120*D121","v":6.8225669999999988E-2}]
[null,null,"W. Spruce",435,null,null,null,null,null,null,null,null,null,null,"Inertia per leverage = SW x (AR x K)2"]
[null,null,"S. Pine ",425]
[null,null,null,null,"Key Inert","Lead Avg","C&B Inert",null,null,null,null,null,null,null,"SW",{"$f":"H146/1000","v":1.3247754394079556E-2}]
[null,null,"Spruce",{"$f":"D120*D121","v":6.5612772E-2},{"$f":"IF(D116<>0,(D125*D116^2)/12,(D125*G116^2)/12)","v":1.1170793142240001E-3},{"$f":"E85*L57^2","v":1.0343176630434785E-3},3.7328280000000001E-4,{"$f":"IF(E125<>0,E125+F125+G125,0)","v":2.5246797772674788E-3},"taken @ IMA",null,null,null,null,null,"AR",{"$f":"'Simple AR Calculator'!C47","v":5.0146401277255741}]
[null,null,"Spruce2",{"$f":"D120*D122","v":6.3425679599999993E-2},{"$f":"IF(D116>1, (D126*D116^2)/12,(D126*G116^2/12))","v":1.1675610519699998E-3},{"$f":"F125","v":1.0343176630434785E-3},{"$f":"G125","v":3.7328280000000001E-4},{"$f":"IF(E126<>0,E126+F126+G126,0)","v":2.5751615150134783E-3},null,null,null,null,null,null,"K = ",{"$f":"L54/10","v":22.5}]
[null,null,"Sug. Pine",{"$f":"D120*D123","v":6.1967617999999995E-2},{"$f":"(D127*G116^2)/12","v":1.1407205680166665E-3},{"$f":"F125","v":1.0343176630434785E-3},{"$f":"G125","v":3.7328280000000001E-4},{"$f":"IF(E127<>0,E127+F127+G127,0)","v":2.548321031060145E-3}]
[null,null,"Spruce @ trial ham",null,{"$f":"E125","v":1.1170793142240001E-3},{"$f":"K89*L57^2","v":4.1894999999999991E-4},{"$f":"G125","v":3.7328280000000001E-4},{"$f":"IF(E128<>0,E128+F128+G128,0)","v":1.9093121142240001E-3},{"$f":"H128+N116","v":1.9597555162620844E-3}]
[]
[null,null,null,null,null,{"$f":"F131/1000","v":9.3663274745605929E-3}]
[null,"FW = (SW * AR) + (WW * KR) - BW",null,null,null,{"$f":"C29","v":9.3663274745605936},null,"SW = (((BW + FW) - (WW * KR)) / AR) ",null,null,null,null,{"$f":"(((G146+D146)-(F60*D88))/D89)","v":12.68577474560592},"Iham = ",{"$f":"(F130*E133^2) +C133","v":1.7687372802960221E-4}]
[null,null,null,"shank","So","Ham","Wo ","Si","Ko","Wi","Rots Avg","Inertia =","Iham*(Wo/Si * Ko/Wi)^2",null,{"$f":"O131*(G133/H134 * I133/J133)^2","v":1.3034549545408154E-2}]
[null,null,null,{"$f":"(0.004 * E134^2)/3","v":2.1845333333333336E-5},{"$f":"'Simple AR Calculator'!D11/1000","v":0.13741906709041507},{"$f":"I146/1000","v":1.1747754394079555E-2},{"$f":"'Simple AR Calculator'!E9/1000","v":9.4349228032083857E-2},{"$f":"'Simple AR Calculator'!F16/1000","v":1.9829223116542265E-2},{"$f":"'Simple AR Calculator'!D7/1000","v":0.12461540835707277},{"$f":"'Simple AR Calculator'!D10/1000","v":6.4000000000000001E-2},{"$f":"'Simple AR Calculator'!C54","v":8.2411115245841842},"Isw = (SW * So^2) + SS",null,null,{"$f":"(F131/1000*(E133^2+C133))","v":1.7687372802960221E-4},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"FW * (Ki / Kfac) e.g. 250/160 or 250/125"]
[null,null,null,null,{"$f":"'Simple AR Calculator'!C11/1000","v":0.128},null,null,2.1399999999999999E-2,null,null,{"$f":"K133^2","v":67.91591916063426},null,null,null,null,null,null,null,null,null,null,null,null,"Wf = (((((SW * Sro * Wro) + WW) * KR + F) - DW) * KR^ -1) / 14.2",null,null,null,null,null,null,null,null,null,null,"Prac. Pos  = (L_total_req * Ctr_mm) / (Lds_on_hand * rounded(#ctr_Lds)) ",null,null,null,null,null,{"$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":8.2411115245841842},{"$f":"'Simple AR Calculator'!#REF!","v":{"$error":"#REF!"}},null,null,null,null,null,null,null,null,null,null,null,"FW = (SW * AR) + (WW * KR) - BW"]
[null,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"]
[null,null,"THESE COLUMNS DISPLAY THEORETICAL HAMMER WEIGHTS FOR THIS ACTION ",null,null,null,null,null,null,null,null,null,null,"My Hammers RE Inertia and Leads"]
[null,null,"Note # to Hammer Weight Summary for Action ",null,null,null,null,{"$f":"G4","v":"Krakauer 5'10\""},null,null,null,null,null,"Try Different Strikeweight for  ",null,null,{"$f":"H138","v":"Krakauer 5'10\""}]
[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",{"$f":"I146","v":11.747754394079555},{"$f":"I165","v":10.706780758556894},{"$f":"I171","v":10.205869565217391},{"$f":"I172","v":10.153605457909343},{"$f":"I185","v":9.2171600370027758},{"$f":"I194","v":8.4026641998149856},{"$f":"I206","v":7.2397409805735435},{"$f":"I233","v":4.0733603145235895},{"$f":"J235","v":127.64380408702566},null,{"$f":"Q146","v":9.8000000000000007},{"$f":"Q171","v":8.8000000000000007},{"$f":"Q185","v":7.8},{"$f":"Q194","v":7.2},{"$f":"Q206","v":6.5},{"$f":"Q233","v":2.125605920444035},{"$f":"R235","v":91.417188553444717},53,50,null,null,null,null,"Note    SW     Ham.","Note  SW  FW_max"]
[null,null,"% FW Mx",{"$f":"(M81/B146)","v":0.50094161958568761},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,53,50,null,null,null,null,{"$f":"A146 &\"      \"&ROUND(H146,2)&\"      \"&ROUND(I146,1)","v":"1      13.25      11.7"},{"$f":"A146 &\"         \"&ROUND(H146,1)&\"      \"&ROUND(B146,1)","v":"1         13.2      41.3"}]
[null,null,0.93,null,null,null,{"$f":"H146","v":13.247754394079555},"Enter Std. Lead Weight You Will Use -->>",null,null,null,13.8,{"$f":"D146*2","v":70.817999999999998},{"$f":"C79","v":5.3382716049382708},null,{"$f":"H146-Q143","v":1.9477543940795545},null,null,null,null,53,50,null,null,null,null,"2      13.21      11.7","2         13.2      41.1"]
[null,"Frontweight Factors",null,null,null,null,null,{"$f":"G4","v":"Krakauer 5'10\""},null,null,"Ctr. mm @","Fr. 3rd",{"$f":"M142/L142","v":5.1317391304347826},"Enter a trial SW note# 1 -->>",null,null,{"$f":"'My Summary'!K10 + 1.5","v":11.3},"Inertia","Ctr. mm @","Fr. 3rd",53,50,null,null,null,null,"3      13.16      11.7","3         13.2      40.8"]
["open","Max","%","per dw tar",null,null,null,"SW-Hammers This Action",null,null,{"$f":"$L$57*1000","v":112.5},{"$f":"N59","v":140.625},null,"Trial SW-Ham. Columns",null,null,null,null,{"$f":"$L$57*1000","v":112.5},{"$f":"$L$58*1000","v":140.625},53,50,null,null,null,null,"4      13.13      11.6","4         13.1      40.6",null,"Accel 1st 4th",null,"Accel 1st 3rd"]
[null,null,null,{"$f":"C146/H146","v":2.8992838225597728},"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      13.07      11.6","5         13.1      40.3","Fw ",null,"# of Lds",null,"# of Lds",null,"%","FW / SW"]
[1,41.3,{"$f":"B146*$C$142","v":38.408999999999999},{"$f":"C146-(F146-$D$82)","v":35.408999999999999},"A     1",53,{"$f":"(F146-$M$71)","v":41},{"$f":"(((G146+C146) - ($F$60 * $Q$86)) / $Q$87)","v":13.247754394079555},{"$f":"(((G146+C146) - ($F$60 * $Q$86)) / $Q$87) - 1.5","v":11.747754394079555},{"$f":"(H146 / 1000) *($P$125 *$P$126)^2","v":168.65019489732029},{"$f":"P237/$L$142","v":5.1317391304347826},{"$f":"Q237/$L$142","v":4.1053913043478261},1,{"$f":"Q146 + 1.5","v":11.3},{"$f":"(N146*$C$79) + ($F$60*$C$78) -P146","v":30.602358024691348},{"$f":"C146","v":38.408999999999999},{"$f":"'My Summary'!K10","v":9.8000000000000007},{"$f":"(N146/1000) * ($P$125*$P$126)^2","v":143.85435792736325},{"$f":"AC146/$L$142","v":4.1053913043478261},{"$f":"S146 *0.8","v":3.284313043478261},53,50,null,null,null,null,"6      13.04      11.5","6         13      40.1",{"$f":"D146*($L$54/$N$58)","v":56.654400000000003},{"$f":"D146 *$K$61","v":141.636},{"$f":"AD146/$M$72","v":10.263478260869565},{"$f":"D146 *$K$63","v":106.227},{"$f":"AF146/$M$72","v":7.6976086956521739},"Note",{"$f":"(1/AJ146) * 100","v":34.491276508317206},{"$f":"C146/H146","v":2.8992838225597728}]
[2,41.1,{"$f":"B147*$C$142","v":38.223000000000006},{"$f":"C147-(F147-$D$82)","v":35.223000000000006},"A#   2",53,{"$f":"(F147-$M$71)","v":41},{"$f":"(((G147+C147) - ($F$60 * $Q$86)) / $Q$87)","v":13.212911655874194},11.712911655874194,{"$f":"(H147 / 1000) *($P$125 *$P$126)^2","v":168.20663031918193},{"$f":"P238/$L$142","v":5.1047826086956531},{"$f":"Q238/$L$142","v":4.0838260869565222},2,{"$f":"Q147 + 1.5","v":11},{"$f":"(N147*$C$79) + ($F$60*$C$78) -P147","v":29.186876543209856},{"$f":"C147","v":38.223000000000006},{"$f":"'My Summary'!K11","v":9.5},{"$f":"(N147/1000) * ($P$125*$P$126)^2","v":140.03521568150401},{"$f":"AC147/$L$142","v":4.0838260869565222},{"$f":"S147 *0.8","v":3.2670608695652179},53,50,null,null,null,null,"7      12.99      11.5","7         13      39.8",{"$f":"D147*($L$54/$N$58)","v":56.356800000000014},{"$f":"D147 *$K$61","v":140.89200000000002},{"$f":"AD147/$M$72","v":10.209565217391306},{"$f":"D147 *$K$63","v":105.66900000000001},{"$f":"AF147/$M$72","v":7.6571739130434784},"A     1",{"$f":"(1/AJ147) * 100","v":34.567960798142984},{"$f":"C147/H147","v":2.8928521582150162}]
[3,40.799999999999997,37.944000000000003,{"$f":"C148-(F148-$D$82)","v":34.944000000000003},"B     3",53,41,13.160647548566144,11.660647548566144,167.54128345197429,{"$f":"P239/$L$142","v":5.0643478260869568},4.0514782608695654,3,10.7,27.864395061728374,37.944000000000003,{"$f":"'My Summary'!K12","v":9.1999999999999993},136.21607343564483,{"$f":"AC148/$L$142","v":4.0514782608695654},3.2411826086956523,53,50,null,null,null,null,"8      12.93      11.4","8         12.9      39.5",55.91040000000001,139.77600000000001,10.128695652173914,104.83200000000001,7.5965217391304352,"A#   2",34.684396870562253,2.883140807469919]
[4,40.6,37.758000000000003,34.758000000000003,"C     4",53,41,13.12580481036078,11.62580481036078,167.0977188738359,5.0373913043478264,4.0299130434782615,4,10.6,27.516567901234559,37.758000000000003,{"$f":"'My Summary'!K13","v":9.1},134.94302602035842,4.0299130434782615,3.2239304347826092,53,50,null,null,null,null,"9      12.9      11.4","9         12.9      39.3",55.612800000000007,139.03200000000001,10.074782608695653,104.274,7.5560869565217388,"B     3",34.762976880027487,2.8766236086488153]
[5,40.299999999999997,37.478999999999999,34.478999999999999,"C#   5",53,41,13.07354070305273,11.57354070305273,166.43237200662827,4.9969565217391301,3.9975652173913043,5,10.6,27.795567901234563,37.478999999999999,{"$f":"'My Summary'!K14","v":9.1},134.94302602035842,3.9975652173913043,3.1980521739130436,53,50,null,null,null,null,"10      12.85      11.3","10         12.8      39",55.166400000000003,137.916,9.9939130434782601,103.437,7.4954347826086947,"C     4",34.882309301349373,2.8667826758858435]
[6,40.1,37.293000000000006,34.293000000000006,"D     6",53,41,13.038697964847366,11.538697964847366,165.98880742848985,4.9700000000000006,3.9760000000000009,6,10.6,27.981567901234556,37.293000000000006,{"$f":"'My Summary'!K15","v":9.1},134.94302602035842,3.9760000000000009,3.180800000000001,53,50,null,null,null,null,"11      12.81      11.3","11         12.8      38.8",54.868800000000014,137.17200000000003,9.9400000000000013,102.87900000000002,7.455000000000001,"C#   5",34.962856205849256,2.8601782248919951]
[7,39.799999999999997,37.013999999999996,34.013999999999996,"D#   7",53,41,12.986433857539316,11.486433857539316,165.32346056128222,4.9295652173913034,3.9436521739130428,7,10.4,27.192913580246909,37.013999999999996,{"$f":"'My Summary'!K16","v":8.9},132.39693118978562,3.9436521739130428,3.1549217391304345,52,50,null,null,null,null,"12      12.76      11.3","12         12.8      38.5",54.422399999999996,136.05599999999998,9.8591304347826068,102.04199999999999,7.3943478260869551,"D     6",35.085194406276862,2.8502050991089751]
[8,39.5,36.734999999999999,33.734999999999999,"E     8",53,41,12.934169750231268,11.434169750231268,164.65811369407461,4.8891304347826088,3.9113043478260865,8,10.199999999999999,26.404259259259248,36.734999999999999,{"$f":"'My Summary'!K17","v":8.6999999999999993},129.85083635921282,3.9113043478260865,3.1290434782608694,52,50,null,null,null,null,"13      12.54      11","13         12.5      38.3",53.975999999999999,134.94,9.7782608695652176,101.205,7.3336956521739127,"D#   7",35.209390908483108,2.8401513749533991]
[9,39.299999999999997,36.548999999999999,33.548999999999999,"F     9",53,41,12.899327012025903,11.399327012025903,164.21454911593619,4.8621739130434776,3.8897391304347826,9,10.199999999999999,26.590259259259248,36.548999999999999,{"$f":"'My Summary'!K18","v":8.6999999999999993},129.85083635921282,3.8897391304347826,3.1117913043478262,52,50,null,null,null,null,"14      12.49      11","14         12.5      38",53.678400000000003,134.196,9.7243478260869551,100.64699999999999,7.2932608695652164,"E     8",35.293241982067649,2.8334036315170366]
[10,39,36.270000000000003,33.270000000000003,"F#   10",53,41,12.847062904717857,11.347062904717857,163.54920224872862,4.821739130434783,3.8573913043478263,10,10.199999999999999,26.869259259259245,36.270000000000003,{"$f":"'My Summary'!K19","v":8.6999999999999993},129.85083635921282,3.8573913043478263,3.0859130434782611,52,50,null,null,null,null,"15      12.45      11","15         12.5      37.8",53.232000000000006,133.08000000000001,9.6434782608695659,99.81,7.232608695652174,"F     9",35.420631113090309,2.8232133888501849]
[11,38.799999999999997,36.083999999999996,33.083999999999996,"G    11",53,41,12.812220166512491,11.312220166512491,163.1056376705902,4.7947826086956518,3.8358260869565215,11,10.3,27.589086419753087,36.083999999999996,{"$f":"'My Summary'!K20","v":8.8000000000000007},131.12388377449923,3.8358260869565215,3.0686608695652176,52,50,null,null,null,null,"16      12.4      10.9","16         12.4      37.5",52.934399999999997,132.33599999999998,9.5895652173913035,99.251999999999981,7.1921739130434768,"F#   10",35.506651608780878,2.8163737065893808]
[12,38.5,35.805,32.805,"G#  12",53,41,12.759956059204443,11.259956059204443,162.44029080338257,4.7543478260869563,3.8034782608695652,12,10.199999999999999,27.334259259259248,35.805,{"$f":"'My Summary'!K21","v":8.6999999999999993},129.85083635921282,3.8034782608695652,3.0427826086956524,52,50,null,null,null,null,"17      12.35      10.8","17         12.3      37.2",52.488,131.22,9.5086956521739125,98.414999999999992,7.1315217391304335,"G    11",35.637358076258749,2.8060441457533019]
[13,38.299999999999997,35.619,33.619,"A     13",52,40,12.537786771507864,11.037786771507864,159.61197042880107,4.8723188405797098,3.8978550724637682,13,10.8,30.723222222222219,35.619,{"$f":"'My Summary'!K22","v":9.3000000000000007},137.48912085093124,3.8978550724637682,3.1182840579710147,52,50,null,null,null,null,"18      12.31      10.8","18         12.3      37",53.790400000000005,134.476,9.7446376811594195,100.857,7.3084782608695651,"G#  12",35.199715801981704,2.8409320280469452]
[14,38,35.340000000000003,33.340000000000003,"A#   14",52,40,12.485522664199816,10.985522664199816,158.94662356159347,4.8318840579710152,3.8655072463768119,14,10.6,29.934567901234558,35.340000000000003,{"$f":"'My Summary'!K23","v":9.1},134.94302602035842,3.8655072463768119,3.0924057971014496,52,50,null,null,null,null,"19      12.26      10.8","19         12.3      36.7",53.344000000000008,133.36000000000001,9.6637681159420303,100.02000000000001,7.2478260869565219,"A     13",35.32971891397797,2.8304782226964069]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,30.18,24.144000000000002,null,5.6935476410730805]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,28.878000000000004,23.102400000000003,null,5.5715980573543016]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,27.576000000000001,22.0608,null,5.4496484736355217]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,26.46,21.168000000000003,null,5.3451202590194269]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,25.158000000000001,20.126400000000004,null,5.223170675300647]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23.856000000000002,19.084800000000001,null,5.1012210915818681]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,22.740000000000002,18.192000000000004,null,4.9966928769657732]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21.438000000000002,17.150400000000001,null,4.8747432932469934]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,20.135999999999999,16.108799999999999,null,4.7527937095282136]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19.020000000000003,15.216000000000003,null,4.6482654949121178]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,17.718,14.1744,null,4.5263159111933398]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16.416,13.132800000000001,null,4.4043663274745599]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15.3,12.240000000000002,null,4.2998381128584642]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13.998000000000001,11.198400000000001,null,4.1778885291396852]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.882000000000001,10.305600000000002,null,4.0733603145235895]
[]
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{"sheet":"Simple AR Calculator","index":15,"n_rows":234,"n_cols":19,"rows_kept":234,"cut":false,"hidden":false,"merged":[[174,10,174,11],[211,12,211,13],[230,10,230,11],[230,12,230,13],[230,14,230,15],[193,14,193,15],[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],[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],[5,2,5,3],[126,8,126,10],[143,7,143,8],[144,7,144,8],[145,7,145,8],[142,7,142,8]]}
[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"]
[{"$f":"F7","v":50},null,"Krakauer 5'10\"",null,"WRW ->",{"$f":"Compare!C24","v":17},"Action Ratios and Dip"]
[null,"Key Out",115,{"$f":"SQRT(C19^2 + C7^2)","v":124.61540835707277},"DW ->",{"$f":"Compare!L24","v":50},"MAR-SW RO",{"$f":"C46","v":5.3382716049382708},{"$f":"((1/(COS(RADIANS(F89))))) * H9","v":5.0367218391669812},null,{"$f":"C12","v":18}]
[null,"Key In",225,{"$f":"C8","v":225},{"$f":"C9+1.5","v":95.5},{"$f":"B109","v":5.6413218840251957},"DAR Computed ",{"$f":"C47","v":5.0146401277255741},null,null,null,{"$f":"C14","v":6.3}]
[null,"Whip_out",94,{"$f":"C9","v":94},{"$f":"Generic!H62","v":94.349228032083857},{"$f":"Generic!O5","v":4.8729767050021735},"DAR per dip below ",{"$f":"(A15 - C16) / (H10 - C22)","v":5.0146401277255741},{"$f":"(1/H8*F7) -1.6","v":8.3708052275882583},{"$f":"C13","v":10}]
[null,"Whip_in",64,{"$f":"C10","v":64},null,{"$f":"Generic!O24","v":5.2222222222222223},"Regulation Dip mm",{"$f":"H47","v":10.024308600277667},{"$f":"H10/25.4","v":0.3946578189085696}]
[{"$f":"(C15-C16)/(H47-C22)","v":5.0146401277255732},"Shank_out",128,{"$f":"SQRT(C21^2 + C11^2)","v":137.41906709041507},null,"Inherent Mechanical Advantage (IMA)",null,null,null,null,{"$f":"K12/K7","v":0.73055555555555562},{"$f":"DEGREES(ATAN(K11))","v":36.150203858817534}]
[{"$f":"(D7*E9*D11)/(D8*D10*A11)","v":22.37457672610757},"Shank_Input",18,{"$f":"K13","v":22.291758566788758},null,null,"56      9.02      7.5",{"$f":"C64","v":9.3663274745605936},{"$f":"H12*C49^2","v":297.66388367602349},null,{"$f":"J9+(L8/2)","v":13.15}]
[2,"Knuckle Diameter",10,null,null,null,"Key Inertia (est.)",{"$f":"'Key Leads'!H125*10000","v":25.246797772674789},null,"Radial Arm",{"$f":"SQRT(K12^2+K7^2)","v":22.291758566788758},{"$f":"AVERAGE(K13,K16)","v":20.97126526735245}]
[null,"Shank Thickness",6.3,null,null,null,"Inertia per SW H12",186.30955505371094,{"$f":"'Key Leads'!J189","v":133.10779450713272},null,{"$f":"AVERAGE(C12,K13)","v":20.145879283394379},{"$f":"K16+(K13-L13)/2","v":20.311018617634296}]
[{"$f":"DipCalc!G16","v":46.000000000000007},"Blow Distance",46,null,null,null," Plus Key Inertia",{"$f":"H13+H14","v":211.55635282638573},{"$f":"H13+I14","v":158.35459227980752},"Compute Shank_Input as Radial Arm "]
[{"$f":"K141","v":8.2452874169155184},"Let-Off ",2,null,null,{"$f":"G128","v":19.829223116542266},"Est. Key Leads Req'd",3.1595588583259371,null,null,{"$f":"$C$17-$E$9","v":19.650771967916143}," Convergence"]
[{"$f":"K141","v":8.2452874169155184},"Spread",114,null,null,{"$f":"D11/F16","v":6.930128643102262},"SW @ C40",{"$f":"'Key Leads'!H185","v":10.717160037002776},"Rhodes",{"$f":"((F8*86)-194)+(H12-10)*(44+(( C53-5*8)))","v":285.03345847845122}]
[{"$f":"D150","v":7.6419605869027132},"Key Length (optional)",452,null,null,{"$f":"Generic!X89","v":20.45649611273193},"Inertia @ C40",{"$f":"'Key Leads'!J185","v":136.43452884317085},{"$f":"H20*F71^2","v":286.73288985028222}]
[{"$f":"P148","v":10.43444018019899},"Capstan Height ",48,null,null,{"$f":"D11/F18","v":6.717624872467125},"Try Out a S' Weight in Box Below",null,{"$f":"'Key Leads'!H128","v":1.9093121142240001E-3}]
[null,"Whipen Heel Height "," ",null,null,{"$f":"Generic!X76","v":20.909866128536176},"30      9.99      8.5",12]
[{"$f":"E56/A23","v":5.6583381825993957},"Hammer Bore ",50,null,null,{"$f":"D11/F20","v":6.5719725915832674},null,null,{"$f":"((F8*86)-194)+(H20-10)*(44+(C53-5*8))","v":310.47035839136561}]
[{"$f":"(D7*E9*D11) / (C8*D10*F16)","v":5.6583381825993957},"Aftertouch",1.25,null,null,{"$f":"K13","v":22.291758566788758},"Reflected Inertia",{"$f":"C67","v":153.90290609153007},{"$f":"C67","v":153.90290609153007}]
[{"$f":"(C8*D10*F16*E56) / (D7*E9*D11)","v":7.7761347201391118},"Key ratio Front to Back",{"$f":"1/C24","v":1.956521739130435},{"$f":"1/D24","v":1.8055552115616826},null,{"$f":"D11/F22","v":6.1645682496825547},null,null,{"$f":"(H12/1000)*(D11/1000)^2","v":1.7687372802960221E-4}]
[{"$f":"P148","v":10.43444018019899},"Key ratio Back / Front",{"$f":"C7/D8","v":0.51111111111111107},{"$f":"D7/D8","v":0.55384625936476783},{"$f":"C15/D43","v":5.1103810973876564},{"$f":"E77","v":0},"Est. Key Leads Req'd",{"$f":"'Key Leads'!E110","v":5.0359634997316114},{"$f":"(H20/1000)*(D11/1000)^2","v":2.2660799999999997E-4}]
[null,"Whip ratio",{"$f":"C9/C10","v":1.46875},{"$f":"D9/D10","v":1.46875},null,null,"Relative DW",{"$f":"C46*H20","v":64.05925925925925}]
[{"$f":"AVERAGE(C47,C48,C49)","v":5.3721882713932319},"Shank ratio",{"$f":"C11/C12","v":7.1111111111111107},{"$f":"F23","v":6.1645682496825547},null,null,"DAR Run Up Slope",{"$f":"((C48-C47)+(C50-C48)/2)","v":-2.2823748753929611}]
[null,"Whip Wt.",{"$f":"Compare!C24","v":17},null,{"$f":"C8*D12*D10","v":321001.32336175814},"input",null,{"$f":"(E28*D47 ) / E27","v":43.999999999999993}]
[null,"DW Target",{"$f":"Compare!L24","v":50},null,{"$f":"D7*D9*D11","v":1609706.1171828848},"out"]
[null,null,null,null,{"$f":" E28 / E27","v":5.0146401277255732},"AT","LO","Blow","AR"]
[null,"MAR =",{"$f":"H7","v":5.3382716049382708},null,{"$f":"((C15 - C16) * E27) / E28","v":8.7743086002776689},{"$f":"H47-E30","v":1.2499999999999982},{"$f":"C15-H30","v":1.9999999999999929},{"$f":"(E30 * E28) / E27","v":44.000000000000007},{"$f":"H30/E30","v":5.0146401277255732},{"$f":"H30/E30","v":5.0146401277255732}]
[null,"DAR =",{"$f":"H8","v":5.0146401277255741},null,{"$f":"(C15  * E27) / E28","v":9.1731408093811986},{"$f":"H47-E31","v":0.85116779089646855},{"$f":"C15-H31","v":0},{"$f":"(E31 * E28) / E27","v":46},{"$f":"H31/E31","v":5.0146401277255732},{"$f":"H31/E31","v":5.0146401277255732}]
[null,"Dip =",{"$f":"H10","v":10.024308600277667},null,9,{"$f":"(C32 * E28) / E27","v":50.26830015965696},{"$f":"F32 - C15","v":4.2683001596569596},null,{"$f":"F32/C32","v":5.0146401277255732}]
[null,"Inertia =",{"$f":"H15","v":211.55635282638573},null,10,{"$f":"(E33 * E28) / E27","v":50.146401277255727},{"$f":"F33 - C15","v":4.1464012772557268},null,{"$f":"F33/E33","v":5.0146401277255723}]
[null,"Capstan Chg",{"$f":"Compare!P13","v":3}]
[]
[]
[]
[]
[{"$f":"AVERAGE(D47,D48,D49)","v":8.2104200073850695},null,null,{"$f":"IF(C20<112.5,K16+0.25,C39+0.15)","v":0.15}]
[null,null,"Cos ang",{"$f":"I157","v":6.9939966836844238}]
[]
[null,"Show Summary Page"]
[null,{"$f":"D159","v":5.5028479082941786},{"$f":"D159","v":5.5028479082941786},{"$f":"$E$56/C51","v":9.0012856425745724},{"$f":"E56/D43","v":4.8881906148925411},{"$f":"J143","v":3.8625452577416297}]
[null,"ACTION RATIOS ",null,"Δ Dips","AT Min.","Dip Min.","Additional AT","Δ TOT DIPS"]
[null,"& Related Dips","ARs",1,2,3,4,5]
[null,"MAR",{"$f":"C24*C25*C26","v":5.3382716049382708},null,null,null,"Max Dip Possible >",{"$f":"(((D8+6) / (D7)) / D23)*H47","v":10.291623496285071},{"$f":"G72","v":2.5509822810930349}]
[null,"DAR / Max Dip Normal",{"$f":"D24*C25*F23","v":5.0146401277255741},{"$f":"$E$56/C47","v":8.7743086002776671},{"$f":"(($D$8*$D$10*$F$22)*$C$16)/(($D$7*$D$9*$D$11))","v":0.39883220910353034},{"$f":"D47+E47","v":9.1731408093811968},{"$f":"IF(C22=0,G47=0,(C22-E47))","v":0.85116779089646966},{"$f":"D47+G47+E47","v":10.024308600277667}]
[null,"DAR / Avg. Dip Normal",{"$f":"D24*D25*F19","v":5.4645305046652259},{"$f":"$E$56/C48","v":8.0519268695519113},{"$f":"(($D$8*$D$10*$F$20)*$C$16)/(($D$7*$D$9*$D$11))","v":0.374108129473812},{"$f":"D48+E48","v":8.4260349990257239},{"$f":"C22-E48","v":0.875891870526188},{"$f":"D48+E48+G48","v":9.3019268695519113}]
[null,"DAR / Min Dip Normal",{"$f":"D24*D25*F17","v":5.6373941817888955},{"$f":"$E$56/C49","v":7.8050245523256327},{"$f":"(($D$8*$D$10*D39)*$C$16)/(($D$7*$D$9*$D$11))","v":2.6837196888835507E-3},7.8077082720145166,{"$f":"C22-E49","v":1.2473162803111164},9.0550245523256336]
[null,null,null,6,{"$f":"(($D$8*$D$10*F20)*$C$16)/(($D$7*$D$9*$D$11))","v":0.374108129473812},6.3741081294738118,{"$f":"C22-E50","v":0.875891870526188},7.25,{"$f":"A26*A39","v":44.107922066886402}]
[null,"Sys. Rotate Ratio (per Dip)",{"$f":"F71","v":4.8881906148925411},{"$f":"$E$56/C51","v":9.0012856425745724},{"$f":"(($D$8*$D$10*D39*$C$16)/(($D$7*$D$9*$D$11)))","v":2.6837196888835507E-3},9.0039693622634562,{"$f":"C22-E51","v":1.2473162803111164},10.251285642574572]
[null,"Sys. Rotate Ratio (end stroke)",{"$f":"C54*(D11/D8)","v":5.0332704777618975},{"$f":"$E$56/C52","v":8.7418310210829588},{"$f":"(($D$8*$D$10*D39)*$C$16)/(($D$7*$D$9*$D$11))","v":2.6837196888835507E-3},8.7445147407718427,{"$f":"C22-E52","v":1.2473162803111164},9.9918310210829588]
[null,"RO Per Layout Configs ",{"$f":"A21","v":5.6583381825993957},{"$f":"$E$56/C53","v":7.7761347201391118},{"$f":"C16/C53","v":0.35346066909723234},8.1295953892363446,{"$f":"C22-E53","v":0.89653933090276761},9.0261347201391118]
[null,{"$f":"G144","v":8.2106075425173106},{"$f":"($E$9/$F$22)*($D$7/$D$10)","v":8.2411115245841842},{"$f":"F75","v":8.2147679780326079},{"$f":"C54^2","v":67.91591916063426},{"$f":"C65","v":120.12541814498474}]
[null,"INERTIA RE STRIKEWEIGHT        ",null,null," IMPACT ON DIP "]
[null,{"$f":"D7*E9","v":11757.367579392707},{"$f":"C11/1000","v":0.128},"Plus Shk I",{"$f":"C15-C16","v":44}," Adjusted Hammer Rise to Let-Off ",null,null,{"$f":"AVERAGE(Generic!BC60,Generic!BC59,Generic!BC58)","v":33.787278373035605}]
[null,{"$f":"D10*F22","v":1426.6725482744805},{"$f":"AVERAGE(C11,D11)/1000","v":0.13270953354520754},{"$f":"((0.004*((C11/1000)^2)/3))","v":2.1845333333333336E-5}]
[{"$f":"C58^2","v":1.8883999999999998E-2},{"$f":"B57/B56","v":0.12134285490699706},{"$f":"D11/1000","v":0.13741906709041507},{"$f":"C59+$D$57","v":1.9871906136293555E-4},{"$f":"E56/C47","v":8.7743086002776671}," Dip mm to Point of Let-Off"]
[{"$f":"C64/1000*A58","v":1.7687372802960221E-4},{"$f":"B56/B57","v":8.2411115245841842},{"$f":"($C$64/1000)*$C$58^2","v":1.7687372802960221E-4},{"$f":"C60+$D$57","v":1.8680340962805026E-4}]
[null,{"$f":"B59^2","v":67.91591916063426},{"$f":"(C64/1000)*C57^2","v":1.6495807629471692E-4},{"$f":"C61+$D$57","v":1.7530324267653409E-4},{"$f":"E48","v":0.374108129473812}," Additional Key Dip -- Jack Scrubs Knuckle;"]
[{"$f":"D63*(E9/F16 * D7/D10)^2","v":1.6856840455530667E-2},null,{"$f":"(C64/1000)*C56^2","v":1.5345790934320075E-4},{"$f":"C62+$D$57","v":2.4845333333333331E-4},null," mm of Additional Key Travel per Formula*"]
[null,{"$f":"(C66/1000 * C58^2)","v":2.2660799999999997E-4},{"$f":"(C66/1000)*C58^2","v":2.2660799999999997E-4},{"$f":"($C$64/1000 - 0.0016)*$C$58^2","v":1.4665932802960223E-4}]
[null,"MA Hammer Factor*",{"$f":"1/C46","v":0.18732654949121186},{"$f":"($C$66/1000 - 0.0016)*$C$58^2","v":1.9639359999999996E-4},{"$f":"G48","v":0.875891870526188},"Add in Additional Aftertouch**"]
[null,"Balance Strikeweight gm ",{"$f":"F7*C63","v":9.3663274745605936},"ham only"]
[null,"Inertia SW End Rotation",{"$f":"((C59*E54)*10000)","v":120.12541814498474},{"$f":"A59*10000","v":1.768737280296022},{"$f":"E58+E60+E63","v":10.024308600277667},"Regulator's Final Dip minimum"]
[null,"Est. Note  S'weight",{"$f":"H20","v":12},"ham only",{"$f":"E65/25.4","v":0.3946578189085696},"Decimal Inches Regulator's Dip"]
[null,"Inertia SW End Rotation",{"$f":"(B62*E54)*10000","v":153.90290609153007},{"$f":"A61*10000","v":168.56840455530667},"*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",{"$f":"(F7/1000 * (C8/1000)^2) * 10000","v":25.312500000000004}]
[null,"Rotations",null,null,null,null,{"$f":"F74/F72","v":8.2147679780326079}]
[null,"System Rotations Ratio (Shank & Key)",null,null,null,{"$f":"(F73/F72)*(C11/C8)","v":4.8881906148925411},{"$f":"H47/D8","v":4.4552482667900746E-2}]
[null,"Degrees Key Angle Down From Rest (to pt. Of Let-Off)",null,null,{"$f":"D47/D8","v":3.8996927112345189E-2},{"$f":"DEGREES(ATAN(E72))","v":2.2332277282044428},{"$f":"DEGREES(ATAN(G71))","v":2.5509822810930349}]
[null,"Theoretical Angle of Shank Rotation to String ",null,null,{"$f":"C15/D11","v":0.3347424849692382},{"$f":"(C15 * 360) / (6.28 * D11)","v":19.189059647918111}]
[null,"Theoretical Angle of Shank Rotation to Let-Off ",null,null,null,{"$f":"'Unit Circle'!AE11","v":18.345447629308364},{"$f":"(C15/D11)*57.3","v":19.180744388737349}]
[null,"Ratio Key Angle to Shank Angle (end of stroke)",null,null,"Rθ =",{"$f":"F74/F72","v":8.2147679780326079},{"$f":"F75^2","v":67.482412932909938}]
[null,"Hammer Nose Arc Travel to String",null,null,null,{"$f":"D11*RADIANS(F73)","v":46.023331867875953},{"$f":"G75*C62","v":1.5292054629900853E-2}]
[null,"Hammer Nose Arc Travel to Let-Off",null,null,null,{"$f":"D11*RADIANS(F74)","v":43.999999999999993},{"$f":"G75*C59","v":1.1935865951876823E-2}]
[]
[]
[null,null,null,null,null,null,{"$f":"(E56/D11)*57.3","v":18.346798980531378}]
[null,null,null,null,null,null,{"$f":"G80/F72","v":8.2153730892829948}]
[]
[]
[null,null,null,"UNDERSTANDING THE READOUTS BELOW IS NOT ESSENTIAL TO YOUR ACTION ANALYSIS"]
[null,null,null,"Read here to Interpret the meaning of the columns below"]
[]
[null,{"$f":"C6","v":"Krakauer 5'10\""},null,null,null,null,{"$f":"F144","v":18.336156429354197},{"$f":"Generic!BI55","v":2.2332277282044428}]
[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$55","v":5.033270477761894},{"$f":"Generic!BA55","v":8.7676443901191075},{"$f":"Generic!BC55","v":44.12992566830119},{"$f":"Generic!AJ74","v":19.733966701783839},{"$f":"Generic!BR156","v":5.3670891237473208},{"$f":"(D89/$D$11)*57.3","v":18.400974437775311},{"$f":"DEGREES(ATAN(K89))","v":2.2315332759219215},{"$f":"G89/H89","v":8.2458884374794952},{"$f":"I89^2","v":67.994676123358033},{"$f":"C89/$D$8","v":3.8967308400529366E-2},{"$f":"(J89*$C$59) * 10000","v":120.26471852103717},{"$f":"(((($C$59 *( ($E$9/E109)*($D$7/$D$10))^2))) * 10000)","v":120.12541814498458},{"$f":"L89+$C$69","v":145.57721852103717}]
[null,{"$f":"Generic!$BB$56","v":5.1821416906756079},{"$f":"Generic!BA56","v":8.1716582383044329},{"$f":"Generic!BC56","v":42.346690838670192},{"$f":"Generic!AJ73","v":19.749943159436253},{"$f":"Generic!BR151","v":5.8610143371044909},{"$f":"(D90/$D$11)*57.3","v":17.657414188813448},2.0799814837090014,8.4892170084740037,72.066805416964314,3.6318481059130811E-2,{"$f":"(J90*$C$59) * 10000","v":127.46724541282408},{"$f":"(((($C$59 *( ($E$9/E108)*($D$7/$D$10))^2))) * 10000)","v":124.60648953848796},{"$f":"L90+$C$69","v":152.7797454128241}]
[null,{"$f":"Generic!$BB$57","v":5.2581000898779342},{"$f":"Generic!BA57","v":7.4832738776713148},{"$f":"Generic!BC57","v":39.347803048764739},{"$f":"Generic!AJ72","v":19.768978421437566},{"$f":"Generic!BR146","v":6.4003947517383608},16.406959837755142,1.9048978776695593,8.613039066339514,74.184441958290648,3.3258995011872509E-2,131.21278810958512,{"$f":"(((($C$59 *( ($E$9/E107)*($D$7/$D$10))^2))) * 10000)","v":128.63121403372188},156.52528810958512]
[null,{"$f":"Generic!$BB$58","v":5.3220676437659229},{"$f":"Generic!BA58","v":6.8528400522208139},{"$f":"Generic!BC58","v":36.471278309827568},{"$f":"Generic!AJ71","v":19.79165424756798},{"$f":"Generic!BR141","v":6.9894135420794523},15.207527538941374,1.7445220976405198,8.7173028988911501,75.991369831016044,3.0457066898759173E-2,134.40876880088049,{"$f":"(((($C$59 *( ($E$9/E106)*($D$7/$D$10))^2))) * 10000)","v":132.21295733883721},159.72126880088049]
[null,{"$f":"Generic!$BB$59","v":5.3758998607885822},{"$f":"Generic!BA59","v":6.2754874109037502},{"$f":"Generic!BC59","v":33.736391898657971},{"$f":"Generic!AJ70","v":19.818661436190276},{"$f":"Generic!BR136","v":7.6326388538668439},14.067154556661478,1.5976255625685545,8.805038481010067,77.528702652068063,2.7891055159572221E-2,137.12790667369785,{"$f":"(((($C$59 *( ($E$9/E105)*($D$7/$D$10))^2))) * 10000)","v":135.37446904528503},162.44040667369785]
[null,{"$f":"Generic!$BB$60","v":5.4211763521603871},{"$f":"Generic!BA60","v":5.7467536355289486},{"$f":"Generic!BC60","v":31.154164910621269},{"$f":"Generic!AJ69","v":19.850819598470796},{"$f":"Generic!BR131","v":8.3350592324839603},12.990436386852105,1.4630807053464681,8.8788242093424881,78.833519340406255,2.5541127269017548E-2,139.43578459431401,{"$f":"(((($C$59 *( ($E$9/E104)*($D$7/$D$10))^2))) * 10000)","v":138.1449368398743},164.74828459431401]
[null,{"$f":"Generic!$BB$61","v":5.4592384251779125},{"$f":"Generic!BA61","v":5.2625499097632336},{"$f":"Generic!BC61","v":28.729514681796001},{"$f":"Generic!AJ68","v":19.889100247736156},{"$f":"Generic!BR126","v":9.1021223117113195},11.979423424434911,1.3398530434564835,8.9408487616903223,79.938776579419368,2.3389110710058815E-2,141.39069427727355,{"$f":"(((($C$59 *( ($E$9/E103)*($D$7/$D$10))^2))) * 10000)","v":140.55737839078827},166.70319427727355]
[null,{"$f":"Generic!$BB$62","v":5.4912226390659971},{"$f":"Generic!BA62","v":4.8191300350238624},{"$f":"Generic!BC62","v":26.462915948925943},{"$f":"Generic!AJ67","v":19.934653649559024},{"$f":"Generic!BR121","v":9.9397770629475186},11.034313621673681,1.226993783162331,8.992966201699037,80.873441104901204,2.1418355711217165E-2,143.04387026806347,{"$f":"(((($C$59 *( ($E$9/E102)*($D$7/$D$10))^2))) * 10000)","v":142.64648630608121},168.35637026806347]
[null,{"$f":"Generic!$BB$63","v":5.5180903846852489},{"$f":"Generic!BA63","v":4.4130620116957173},{"$f":"Generic!BC63","v":24.35167505375788},{"$f":"Generic!AJ66","v":19.988839892434335},{"$f":"Generic!BR116","v":10.854519932563072},10.153983796602645,1.1236329432883254,9.0367444789282239,81.66275077743974,1.9613608940869855E-2,144.43995171158062,{"$f":"(((($C$59 *( ($E$9/E101)*($D$7/$D$10))^2))) * 10000)","v":144.44695750215215},169.75245171158062]
[null,{"$f":"Generic!$BB$64","v":5.5406537096692512},{"$f":"Generic!BA64","v":4.0412019097837106},{"$f":"Generic!BC64","v":22.390900352965581},{"$f":"Generic!AJ65","v":20.05326463195334},{"$f":"Generic!BR111","v":11.853445225206167},9.3363942674765568,1.0289729786963342,9.0735077215588102,82.328542373187346,1.7960897376816491E-2,145.6175621278872,{"$f":"(((($C$59 *( ($E$9/E100)*($D$7/$D$10))^2))) * 10000)","v":145.99228071369228},170.9300621278872]
[null,{"$f":"Generic!$BB$65","v":5.5595976965195764},{"$f":"Generic!BA65","v":3.7006698605413089},{"$f":"Generic!BC65","v":20.574235632244882},{"$f":"Generic!AJ64","v":20.129819922767066},{"$f":"Generic!BR106","v":12.944300123808949},8.5788946664291537,0.94228287976002711,9.1043728488561264,82.889604970988614,1.6447421602405816E-2,146.60993446119804,{"$f":"(((($C$59 *( ($E$9/E99)*($D$7/$D$10))^2))) * 10000)","v":147.31392275585529},171.92243446119804]
[null,{"$f":"Generic!$BB$66","v":5.5754997383773688},{"$f":"Generic!BA66","v":3.3888280091342526},{"$f":"Generic!BC66","v":18.894409678333925},{"$f":"Generic!AJ63","v":20.220730469313065},{"$f":"Generic!BR101","v":14.135544773002996},7.8784530960045229,0.86289272189816657,9.1302810836945394,83.362032667270327,1.5061457818374455E-2,147.44553493985586,{"$f":"(((($C$59 *( ($E$9/E98)*($D$7/$D$10))^2))) * 10000)","v":148.44084021173674},172.75803493985586]
[null,{"$f":"Generic!$BB$67","v":5.5888460633360308},{"$f":"Generic!BA67","v":3.1032602775157083},{"$f":"Generic!BC67","v":17.343643985500744},{"$f":"Generic!AJ62","v":20.328605482909332},{"$f":"Generic!BR96","v":15.43641789192198},7.2318261316337304,0.79018863814901474,9.1520249501106399,83.75956068744766,1.3792267900069814E-2,148.14865756910578,{"$f":"(((($C$59 *( ($E$9/E97)*($D$7/$D$10))^2))) * 10000)","v":149.3992423884639},173.46115756910578]
[null,{"$f":"Generic!$BB$68","v":5.60004584540496},{"$f":"Generic!BA68","v":2.841753796049507},{"$f":"Generic!BC68","v":15.913951539230816},{"$f":"Generic!AJ61","v":20.45649611273193},{"$f":"Generic!BR91","v":16.857008425252754},6.6356834062769465,0.72360818752843004,9.1702713162242038,84.09387601316439,1.2630016871331142E-2,148.73997354907527,{"$f":"(((($C$59 *( ($E$9/E96)*($D$7/$D$10))^2))) * 10000)","v":150.21253828864974},174.05247354907527]
[null,{"$f":"Generic!$BB$69","v":5.6094432167685957},{"$f":"Generic!BA69","v":2.6022818717667779},{"$f":"Generic!BC69","v":14.597352393702037},{"$f":"Generic!AJ60","v":20.607958105527253},{"$f":"Generic!BR86","v":18.408333788225907},6.0866975003461308,0.6626360922733423,9.1855810018801733,84.374898342101972,1.1565697207852346E-2,149.23702821886278,{"$f":"(((($C$59 *( ($E$9/E95)*($D$7/$D$10))^2))) * 10000)","v":150.90141090521888},174.54952821886278]
[null,{"$f":"Generic!$BB$70","v":5.6173274672227551},{"$f":"Generic!BA70","v":2.3829883702989783},{"$f":"Generic!BC70","v":13.386026026552841},{"$f":"Generic!AJ59","v":20.787118932419251},{"$f":"Generic!BR81","v":20.102425312376184},5.581607469484684,0.60680031784729926,9.1984254215392323,84.611030235619197,1.0591059423551014E-2,149.65468350199359,{"$f":"(((($C$59 *( ($E$9/E94)*($D$7/$D$10))^2))) * 10000)","v":151.48397363571198},174.96718350199359]
[null,{"$f":"Generic!$BB$71","v":5.62394168610082},{"$f":"Generic!BA71","v":2.1821733973746826},{"$f":"Generic!BC71","v":12.272415935795728},{"$f":"Generic!AJ58","v":20.9987480999159},{"$f":"Generic!BR76","v":21.952421554748891},5.1172624586253193,0.55566847063838398,9.2092006817416028,84.809377196590006,9.6985484327763681E-3,150.00550716629607,{"$f":"(((($C$59 *( ($E$9/E93)*($D$7/$D$10))^2))) * 10000)","v":151.97597441755241},175.31800716629607]
[null,{"$f":"Generic!$BB$72","v":5.6294900717954501},{"$f":"Generic!BA72","v":1.9982801742186973},{"$f":"Generic!BC72","v":11.249298401429838},{"$f":"Generic!AJ57","v":21.248328753383767},{"$f":"Generic!BR71","v":23.97267019421351},4.6906503737055951,0.50884448950954686,9.2182395022626853,84.975939521076199,8.881245218749766E-3,150.30011215910758,{"$f":"(((($C$59 *( ($E$9/E92)*($D$7/$D$10))^2))) * 10000)","v":152.39102251465971},175.61261215910758]
[null,{"$f":"Generic!$BB$73","v":5.6341441054141796},{"$f":"Generic!BA73","v":1.829883009201412},{"$f":"Generic!BC73","v":10.309824569889697},{"$f":"Generic!AJ56","v":21.542128029178098},{"$f":"Generic!BR66","v":26.178839305143189},4.2989154297343095,0.46596560869145859,9.2258212828338948,85.115778342790847,8.132813374228498E-3,150.54745029630692,{"$f":"(((($C$59 *( ($E$9/E91)*($D$7/$D$10))^2))) * 10000)","v":152.74082047684868},175.85995029630692]
[null,{"$f":"Generic!$BB$74","v":5.638047758862732},{"$f":"Generic!BA74","v":1.6756762756284256},{"$f":"Generic!BC74","v":9.4475428703862949},{"$f":"Generic!AJ55","v":21.887262996092851},{"$f":"Generic!BR61","v":28.588038871445129},3.9393674977938575,0.42669957088294713,9.232180594047307,85.23315852110369,7.447450113904114E-3,150.75506499365665,{"$f":"(((($C$59 *( ($E$9/E90)*($D$7/$D$10))^2))) * 10000)","v":153.03538969539696},176.06756499365665]
[null,{"$f":"Generic!$BB$75","v":5.6413218840251957},{"$f":"Generic!BA75","v":1.5344643126264712},{"$f":"Generic!BC75","v":8.6564071070753918},{"$f":"Generic!AJ54","v":22.291758566788772},{"$f":"Generic!BR56","v":31.218953483346098},3.6094854792535309,0.39074207080392376,9.2375143322224655,85.331671038015457,6.8198413894509828E-3,150.9293077548943,{"$f":"(((($C$59 *( ($E$9/E89)*($D$7/$D$10))^2))) * 10000)","v":153.28328239440904},176.2418077548943]
[null,"AR","Dip","Blow","Shank Input","Cos Ang. ∆","Shank Ang","Key Ang","Shk/Key RO","Squared","Key Tan","Inertia"]
["Average >>",{"$f":"AVERAGE(B89:B109)","v":5.4914079432122094},4.2416124202557661,22.941255659639552,20.432325593218895,14.863353718901624,9.5658774079178315,1.0798772761639064,8.993204299086953,80.950473985391397,null,{"$f":"AVERAGE(L89:L109)","v":143.18012119559506},{"$f":"AVERAGE(M89:M109)","v":143.51985740659089},168.49262119559506]
[]
[]
[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":0.99711858610674442},null,null,null,null,"Cos Angles Changing per Stroke",null,null,null,null,null,null,null,null,{"$f":"(E9*Q144)/19.96","v":18.285627331033567},3]
[null,null,"Angle A",null,{"$f":"G128","v":19.829223116542266},{"$f":"((E130^2+E131^2)-(2*E130*E131*C132))","v":393.19808940561416},{"$f":"SQRT(F128)","v":19.829223116542266},{"$f":"H159","v":22.291758566788758},"cosA = (b2 + c2 - a2) / (2bc)",null,null,null,null,null,null,null,null,null,4]
[null,{"$f":" (E130^2 +E131^ 2 - E129^2) / (2*E130*E131)","v":0.99485070671048903},{"$f":"DEGREES(ACOS(B129))","v":5.8169854825638767},"a",{"$f":"K13","v":22.291758566788758},null,"a 2 = b 2 + c 2 - 2 b c cos(A)",null,"a2-b2-c2",{"$f":"C131","v":1.4664292128595235},"A",null,null,null,null,null,null,null,5]
["W Rot Degs",{"$f":"J143","v":3.8625452577416297},{"$f":"C149","v":4.3505562697043532},"b",{"$f":"E9","v":94.349228032083857},null,null,null,null,null,null,null,null,null,null,null,null,null,6]
[null,"Cos angle change deg.",{"$f":"C129-C130","v":1.4664292128595235},"c",{"$f":"C17","v":114},null,null,null,{"$f":"(G128^2 - E130^2 + E131^2) / (2*G128*E131)","v":0.99255891537470953},{"$f":"DEGREES(ACOS(I131))","v":6.9939966836844238},"B",null,null,null,null,null,null,null,7]
[null,null,{"$f":"COS(RADIANS(C131))","v":0.99967249099959077},null,null,{"$f":"((E129^2+E131^2)-2*E129*E131*B134)","v":8901.776830250159},{"$f":"SQRT(F132)","v":94.349228032083857},null,"cosB = (a2 - b2 + c2) / 2ac",null,null,{"$f":"J129+J131+J134","v":179.99999999999991},null,null,null,null,null,null,{"$f":"D49","v":7.8050245523256327}]
[null,null,"Angle B",null,null,null,"b 2 = a 2 + c 2 - 2 a c cos(B)",null,null,null,null,null,null,null,null,null,null,null,9]
[null,{"$f":"(E129^2 - E130^2 + E131^2) / (2*E129*E131)","v":0.90332055922643473},{"$f":"DEGREES(ACOS(B134))","v":25.401968000782219},{"$f":"C129+C134+C137","v":180},null,null,null,null,{"$f":"(G128^2+E130^2-E131^2)/(2*G128*E130)","v":-0.98911771916607438},{"$f":"DEGREES(ACOS(I134))","v":171.53957410345598},"C",{"$f":"L132-J134","v":8.4604258965439385},"Cosine Angle"]
[null,{"$f":"B134*E129","v":20.136603814692286},null,null,null,null,null,null,"cosC = (a2 + b2 - c2) / 2ab",null,null,{"$f":"COS(RADIANS(L134))","v":0.98911771916607472}]
[null,null,"Angle C",null,null,{"$f":"(E130^2 + E129^2) - (2*(E130 * E129 * B137))","v":12996},{"$f":"SQRT(F136)","v":114},null,null,null,null,{"$f":"1/L135","v":1.0110020077722399}]
[null,{"$f":"(E129^2 + E130^2 - E131^2) / (2*E129*E130)","v":-0.85519284967108455},{"$f":"DEGREES(ACOS(B137))","v":148.7810465166539},null,null,null,"c 2 = b 2 + a 2 - 2 b a cos(C)",null,null,null,null,{"$f":"C47*L136","v":5.0698112373857969}]
[null,{"$f":"COS(RADIANS(C138))","v":0.85519284967108466},{"$f":"D134-C137","v":31.218953483346098},"Cosine Ang"]
[null,{"$f":"1/B138","v":1.1693268955471383}]
[null,{"$f":"C47","v":5.0146401277255741},{"$f":"B140*B139","v":5.8637535728394505}]
[null,null,null,null,null,null,null,"Rotational RO shk ang to key ang --->>",null,null,{"$f":"J145/E144","v":8.2452874169155184},null,null,null,null,null,"Ki / Dip"]
[null,null,null,null,"θ Key","θKey*Ki/So",null,null,null,null,null,null,null,null,null,null,{"$f":"S132/D8","v":3.4688998010336147E-2}]
[null,"Thus Shk_ang = (AR * K_ang * Ki / So)",null,null,{"$f":"D47/D8","v":3.8996927112345189E-2},{"$f":"E144*(D8/D11)","v":3.6565248875936169},null,"θw = (θsk * Si) / Wo =",null,{"$f":"(C148 * G128) /E9","v":3.8625452577416297},null,null,1,null,"Key ang",{"$f":"$E$144","v":2.2332277282044428},{"$f":"DEGREES(ATAN(Q142))","v":1.9867365394526562}]
[null,null,null,null,{"$f":"DEGREES(ATAN(E143))","v":2.2332277282044428},{"$f":"F143*C47","v":18.336156429354197},{"$f":"F144/E144","v":8.2106075425173106}," θw = (Ko * θkey) / Wi =",null,{"$f":"(D7 * E144) / D10","v":4.3483528953833526},null,null,2,null,"Whip ang",{"$f":"$J$144","v":4.3483528953833526},{"$f":"(D7*Q143) / D10","v":3.8684060181532867}]
[null,"cap rise mm",{"$f":"D24*D47","v":4.8596179967758975},null,null,"θShank",null," θs =(Wo * θw) / SiDar =",null,{"$f":"(E130*J148)/E129","v":18.413604486470923},"angle",null,3,null,"Shk ang",{"$f":"$F$144","v":18.336156429354197},{"$f":"19.49","v":19.489999999999998}]
[null,"whip tan change per WiDar",{"$f":"C145/D10","v":7.5931531199623398E-2},null,null,null,null,"shk_o dar x θs_rads = mm",null,{"$f":"D11*RADIANS(J145)","v":44.163468440549877},"mm",null,4,null,"Whip rat",{"$f":"$P$144/$P$143","v":1.947115755579262},{"$f":"$Q$144/$Q$143","v":1.947115755579262}]
[null,"whip angle change",{"$f":"DEGREES(ATAN(C146))","v":4.3422238901049557},"degrees",{"$f":"J143","v":3.8625452577416297},null,null,"Pfeiffer θ =",null,null,null,null,5,null,"AR",{"$f":"$P$145/$P$144","v":4.2168050456120296},{"$f":"$R$127/$Q$144","v":4.7269152320683299}]
[null,"Shnk Degrees per end stroke",{"$f":"(E130*C147)/E129","v":18.378337929078512},"θs = (Wo * θw) / SiDar",null,null,null,"profile_rise * 360 / 2π*r",null,{"$f":"(C145*360) / (2*PI()*D10)","v":4.3505562697043532},"degrees",{"$f":"(K149*360) / (2*PI()*G128)","v":20.623717174832038},6,null,"Dip",{"$f":"$E$56/$P$147","v":10.43444018019899},{"$f":"$E$56/$Q$147","v":9.3083962457154463}]
[null,null,{"$f":"J148","v":4.3505562697043532},null,null,null,null,"cap rise x whip Ro x shk Ro",null,{"$f":"K149*D26","v":43.999999999999993},{"$f":"C145*D25","v":7.137563932764599},null,7,null,null,null,{"$f":"Q145/Q146","v":10.009677105304801}]
[null,"Whip_Rot * KeyRO = Key_Rot",{"$f":"C147*D24","v":2.4049244588589604},{"$f":"C148/C150","v":7.6419605869027132},null,null,null,null,null,{"$f":"J148/D10","v":6.7977441714130518E-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":3.8888378565110258},null,null,9]
[null,"Action Rat = (Shk_ang * So) / (Key_ang * Ki)",null,null,{"$f":"(F144*C11) / (E144*D8)","v":4.6709234019654033},null,null,"Si = [So(Z)]  * (D / B - Lo)",null,null,{"$f":"(D11*K153)*(D49/E56)","v":19.829223116542266},null,10]
["Go Top","capstanrise  @ 6mm =",{"$f":"6*D24","v":3.3230775561886068},"mm",{"$f":"(F144*C11) / (E144*D8)","v":4.6709234019654033},null,null,"Z = (KeyRAT * WhipRAT)",null,null,{"$f":"D24*D25","v":0.81346169344200281},null,8.3699999999999992]
[null,"Whip rise tan",{"$f":"C153/C10","v":5.1923086815446981E-2},"tan",{"$f":"6/D8","v":2.6666666666666668E-2},{"$f":"DEGREES(ATAN(E154))","v":1.527525442212927},null,null,null,null,null,null,9.2899999999999991]
[null,"Whip degrees",{"$f":"DEGREES(ATAN(C154))","v":2.9723045335820784},"degrees",{"$f":"(D7*F154) / C10","v":2.9742688555809695},null,null,null,"B"]
[null,"WhipRot degrees",{"$f":"B165-C155","v":2.8446809489817984},null,{"$f":"B165-E155","v":2.8427166269829072},null,null,null,{"$f":"C134","v":25.401968000782219}]
["     ","WhipRotCos  ",{"$f":"COS(RADIANS(C156))","v":0.99876773914117711},null,{"$f":"COS(RADIANS(E156))","v":0.9987694400173307},null,null,null,{"$f":"J131","v":6.9939966836844238},"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,{"$f":"(F164^2 + E162^2) - (2  * F164 * E162 * C157)","v":412.66077118925023},{"$f":"SQRT(B159)","v":20.314053539095791},{"$f":"D24*D25*(D11/C159)","v":5.5028479082941786},null,null,null,{"$f":"K13","v":22.291758566788758},{"$f":"E162-F164","v":19.650771967916143},"is Spread Segment",null,null,null,null,1.113]
[null,null,null,null,null,null,null,"a",{"$f":"G128","v":19.829223116542266},"Use this for Knuckle",null,null,null,null,{"$f":"O165-0.05","v":0.99999999999999978}]
[]
[null,null,null,"c",{"$f":"C17","v":114},null,null,{"$f":"C137","v":148.7810465166539},{"$f":"180-H162","v":31.218953483346098},{"$f":"L134","v":8.4604258965439385},"Δ Cosine Angle",null,null,null,{"$f":"O158-0.05","v":1.2}]
[null,null,null,null,null,null,null,"C",{"$f":"COS(RADIANS(I162))","v":0.85519284967108466},{"$f":"J134","v":171.53957410345598},"Δ Angle (flattening out)",null,null,null,{"$f":"O162-0.05","v":1.1499999999999999}]
[null,"A",null,null,null,{"$f":"E9","v":94.349228032083857},null,null,"cosine",{"$f":"COS(RADIANS(J162))","v":0.98911771916607472},{"$f":"1/J164","v":1.0110020077722399},null,null,null,{"$f":"O163-0.05","v":1.0999999999999999}]
[null,{"$f":"C129","v":5.8169854825638767},null,null,null,"b",null,null,null,"Δ cosine",null,null,null,null,{"$f":"O164-0.05","v":1.0499999999999998}]
[null,{"$f":"J129","v":1.4664292128595235},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":114.80572414481578},null,null,null,null,null,{"$f":"O166-0.05","v":0.89999999999999969}]
[null,{"$f":"COS(RADIANS(B166))","v":0.99967249099959077},null,null,null,null,null,null,{"$f":"F164+H159","v":116.64098659887262},null,null,null,null,null,{"$f":"O167-0.05","v":0.84999999999999964}]
[null,null,null,null,null,"Δ PROOF",{"$f":"I157+B166+J163","v":179.99999999999991},"b + a",{"$f":"F164+I159","v":114},null,null,null,null,null,{"$f":"O168-0.05","v":0.7999999999999996}]
[null,null,null,null,null,null,null,"LIMIT",{"$f":"E162","v":114},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":114.17845114862612},null,null,null,null,null,{"$f":"O170-0.05","v":0.69999999999999951}]
[]
[]
[]
[null,null,null,null,null,null,null,null,{"$f":"J178-I183","v":29.156207175133112},"angle"]
[]
[null,null,null,null,null,null,null,{"$f":"H194","v":18}]
[null,null,null,null,null,null,null,null,null,{"$f":"J194","v":36.150203858817534},"angle"]
[null,null,null,{"$f":"C134","v":25.401968000782219},"CosAng"]
[null,null,null,{"$f":"C148","v":18.378337929078512},"shank ang.",null,null,{"$f":"H197","v":22.291758566788758}]
[null,null,null,{"$f":"D179-D180","v":7.0236300717037068},"diff"]
[null,null,null,{"$f":"I191","v":10.748235858035347}]
[null,null,null,{"$f":"D180","v":18.378337929078512},null,null,null,null,{"$f":"I157","v":6.9939966836844238},"angle"]
[null,null,null,{"$f":"D181","v":7.0236300717037068}]
[null,null,null,{"$f":"SUM(D182:D184)","v":36.150203858817562}]
[]
[null,null,null,null,null,null,null,null,{"$f":"I175-I191","v":18.407971317097765}]
[null,null,null,null,null,null,null,null,{"$f":"I201-I183","v":18.407971317097797}]
[]
[]
[null,null,null,null,null,null,null,null,{"$f":"Generic!E47","v":10.748235858035347},"angle"]
[]
[]
[null,null,null,null,null,null,null,{"$f":"C12","v":18},null,{"$f":"Generic!K56","v":36.150203858817534},"angle"]
[]
[]
[null,null,null,null,null,null,null,{"$f":"K13","v":22.291758566788758}]
[]
[]
[]
[null,null,null,null,null,null,null,null,{"$f":"C134","v":25.401968000782219},"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,{"$f":"J194","v":36.150203858817534},null,{"$f":"(180*J213 - 3.1416*J212)/3.1416","v":5.7074482929522654}]
[null,null,null,null,null,null,null,null,null,{"$f":"TAN(RADIANS(J212))","v":0.73055555555555562}]
[null,null,null,null,null,null,null,null,null,{"$f":"I201","v":25.401968000782219},null,{"$f":"(180*J215 - 3.1416*J214)/3.1416","v":1.8064165024870398}]
[null,null,null,null,null,null,null,null,null,{"$f":"TAN(RADIANS(J214))","v":0.47487700419705942},null,"`"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"AR = Outs/Ins = B/Dip",{"$f":"(D7*D9*D11)/(D8*D10*K13)","v":5.0146401277255732},{"$f":"(D7*D9*D11)/(D8*D10*F16)","v":5.6373941817888946}]
[null,null,{"$f":"E56/D47","v":5.0146401277255732},{"$f":"E56/D49","v":5.6373941817888955}]

{"sheet":"Sheet1","index":16,"n_rows":93,"n_cols":39,"rows_kept":93,"cut":false,"hidden":true,"merged":[]}
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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,{"$f":"(I6*I7*I8) / (I9*I10*I11)","v":5.0332704777618957},null,"Given",null,null,null,null,"A     1",38.299999999999997,{"$f":"(P5*$C$20) + ($C$23*$C$22) - $C$24","v":41.408999999999978},{"$f":"'Key Leads'!H146","v":13.247754394079555},{"$f":"P5-1.6","v":11.647754394079556},8.3840294599018019,{"$f":"Q5-R5","v":3.2637249341777537},{"$f":"((Q5/R5) - 1)*100","v":38.927880081852436},41.3,{"$f":"U5-P5","v":28.05224560592044},null,null,null,null,null,null,null,null,null,null,null,null,"1                  41.3               "]
[null,"K = (Rkws) / (WS)",null,null,null,{"$f":"(F5*I9*I10*I11) / (I7*I8)","v":124.61540835707272},null,"K",{"$f":"'Simple AR Calculator'!D7","v":124.61540835707277},127.1,null,null,"A#   2",38.1,{"$f":"(P6*$C$20) + ($C$23*$C$22) - $C$24","v":41.222999999999999},{"$f":"'Key Leads'!H147","v":13.212911655874194},{"$f":"P6-1.6","v":11.612911655874194},8.3541963993453372,{"$f":"Q6-R6","v":3.2587152565288573},{"$f":"((Q6/R6) - 1)*100","v":39.006926588226023},41.1,{"$f":"U6-P6","v":27.887088344125807},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,{"$f":"(F5*I9*I10*I11) / (I6*I8)","v":94.349228032083829},null,"W",{"$f":"'Simple AR Calculator'!E9","v":94.349228032083857},94,"`",null,"B     3",37.799999999999997,40.943999999999988,{"$f":"'Key Leads'!H148","v":13.160647548566144},11.560647548566145,8.309446808510641,3.2512007400555039,39.126560587951317,40.799999999999997,27.639352451433851,null,null,null,null,null,null,null,null,null,null,null,null,"3                  40.9553282         "]
[null,"S = (Rkws) / (KW)",null,null,null,{"$f":"(F5*I9*I10*I11) / (I6*I7)","v":137.41906709041501},null,"S",{"$f":"'Simple AR Calculator'!D11","v":137.41906709041507},137.6,null,null,"C     4",37.6,40.757999999999996,{"$f":"'Key Leads'!H149","v":13.12580481036078},11.52580481036078,8.2796137479541745,3.2461910624066057,39.207035028762213,40.6,27.474195189639222,null,null,null,null,null,null,null,null,null,null,null,null,"4                  40.7738213         "]
[null,"k = (KWS) / (wsR)",null,null,null,{"$f":"(I6*I7*I8) / (I10*I11*F5)","v":225.00000000000006},null,"k",{"$f":"'Simple AR Calculator'!C8","v":225},240,null,null,"C#   5",37.299999999999997,40.478999999999985,{"$f":"'Key Leads'!H150","v":13.07354070305273},11.473540703052731,8.2348641571194783,3.2386765459332523,39.32883996797014,40.299999999999997,27.226459296947269,null,null,null,null,null,null,null,null,null,null,null,null,"5                  40.5862004         "]
[null,"w = (KWS) / (ksR)",null,null,null,{"$f":"(I6*I7*I8) / (I9*I11*F5)","v":64.000000000000014},null,"w",{"$f":"'Simple AR Calculator'!D10","v":64},65.8,null,null,"D     6",37.1,40.292999999999992,{"$f":"'Key Leads'!H151","v":13.038697964847366},11.438697964847366,8.2050310965630135,3.2336668682843523,39.410781388005887,40.1,27.061302035152636,null,null,null,null,null,null,null,null,null,null,null,null,"6                  40.3924655         "]
[null,"s = (KWS) / (kwR)",null,null,null,{"$f":" (I6*I7*I8) / (I9*I10*F5)","v":22.291758566788765},null,"s",{"$f":"'Simple AR Calculator'!K13","v":22.291758566788758},21.4,null,null,"D#   7",36.799999999999997,40.013999999999982,{"$f":"'Key Leads'!H152","v":12.986433857539316},11.386433857539316,8.1602815057283156,3.2261523518110007,39.534816899960148,39.799999999999997,26.813566142460679,null,null,null,null,null,null,null,null,null,null,null,null,"7                  40.1926166         "]
[null,null,null,null,null,null,null,null,null,null,null,null,"E     8",36.5,39.734999999999985,{"$f":"'Key Leads'!H153","v":12.934169750231268},11.334169750231268,8.1155319148936194,3.218637835337649,39.660220292286773,39.5,26.56583024976873,null,null,null,null,null,null,null,null,null,null,null,null,"8                  39.9866537         "]
[null,"Key Ratio",null,null,null,{"$f":"I9/I6","v":1.8055552115616826},null,null,null,null,null,null,"F     9",36.299999999999997,39.548999999999992,{"$f":"'Key Leads'!H154","v":12.899327012025903},11.299327012025904,8.0856988543371546,3.2136281576887491,39.7445937028061,39.299999999999997,26.400672987974094,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",36,39.269999999999996,{"$f":"'Key Leads'!H155","v":12.847062904717857},11.247062904717858,8.0409492635024566,3.206113641215401,39.872327708468717,39,26.152937095282141,null,null,null,null,null,null,null,null,null,null,null,null,"10                 39.5563859         "]
[null,"Outs (O) = ",null,{"$f":"(I6*I7*I8)","v":1615686.4841992373},null,null,"Blow =",43.5,null,"Blow = ",{"$f":"(D15*H16) / D16","v":44.041116680416593},null,"G    11",35.799999999999997,39.084000000000003,{"$f":"'Key Leads'!H156","v":12.812220166512491},11.212220166512491,8.0111162029459919,3.2011039635664993,39.958276505705051,38.799999999999997,25.987779833487508,null,null,null,null,null,null,null,null,null,null,null,null,"11                 39.332081          "]
[null,"Ins (I) = ",null,{"$f":"(I9*I10*I11)","v":321001.32336175814},null,null,"Dip =",8.75,null,"Blow + LO",{"$f":"K15+2","v":46.041116680416593},null,"G#  12",35.5,38.804999999999993,{"$f":"'Key Leads'!H157","v":12.759956059204443},11.159956059204443,7.9663666121112957,3.1935894470931476,40.088406705234014,38.5,25.740043940795559,null,null,null,null,null,null,null,null,null,null,null,null,"12                 39.1016621         "]
[null,"AR =",null,{"$f":"D15/D16","v":5.0332704777618957},null,null,null,{"$f":"H15/H16","v":4.9714285714285715},null,null,null,null,"A     13",36.299999999999997,37.618999999999986,{"$f":"'Key Leads'!H158","v":12.537786771507864},10.937786771507865,8.0856988543371546,2.8520879171707101,35.273239438553361,38.299999999999997,25.762213228492133,null,null,null,null,null,null,null,null,null,null,null,null,"13                 38.8651292         "]
[null,"Inverse",null,{"$f":"1/D17","v":0.1986779777518855},null,null,"% =",{"$f":"((D17/H17) - 1)*100","v":1.2439463917622628},null,null,null,null,"A#   14",36,37.339999999999989,{"$f":"'Key Leads'!H159","v":12.485522664199816},10.885522664199817,8.0409492635024566,2.8445734006973602,35.376089407860874,38,25.514477335800184,null,null,null,null,null,null,null,null,null,null,null,null,"14                 38.6224823         "]
[null,null,null,null,null,null,null,null,null,null,null,null,"B    15",35.799999999999997,37.153999999999982,{"$f":"'Key Leads'!H160","v":12.45067992599445},10.85067992599445,8.0111162029459919,2.8395637230484585,35.445294402348601,37.799999999999997,25.349320074005547,null,null,null,null,null,null,null,null,null,null,null,null,"15                 38.3737214         "]
[null,"MAR",{"$f":"'Simple AR Calculator'!H7","v":5.3382716049382708},null,null,null,null,null,null,null,null,null,"C    16",35.5,36.874999999999986,{"$f":"'Key Leads'!H161","v":12.398415818686402},10.798415818686403,7.9663666121112957,2.8320492065751068,35.550073759717925,37.5,25.101584181313598,null,null,null,null,null,null,null,null,null,null,null,null,"16                 38.1188465         "]
[null,"DAR",{"$f":"'Simple AR Calculator'!H8","v":5.0146401277255741},null,null,null,null,null,null,null,null,null,"C#  17",35.200000000000003,36.595999999999989,{"$f":"'Key Leads'!H162","v":12.346151711378354},10.746151711378355,7.9216170212765977,2.824534690101757,35.65603692422097,37.200000000000003,24.853848288621649,null,null,null,null,null,null,null,null,null,null,null,null,"17                 37.8578576         "]
[null,"Kro",{"$f":"'Simple AR Calculator'!C24","v":0.51111111111111107},null,null,null,null,null,null,null,null,null,"D    18",35,36.409999999999982,{"$f":"'Key Leads'!H163","v":12.311308973172988},10.711308973172988,7.891783960720133,2.8195250124528553,35.72734664920516,37,24.688691026827012,null,null,null,null,null,null,null,null,null,null,null,null,"18                 37.5907547         "]
[null,"WrW",{"$f":"'Simple AR Calculator'!F6","v":17},null,null,null,null,null,null,null,null,null,"D#  19",34.700000000000003,36.130999999999986,{"$f":"'Key Leads'!H164","v":12.25904486586494},10.65904486586494,7.8470343698854368,2.8120104959795036,35.835327888598975,36.700000000000003,24.440955134135063,null,null,null,null,null,null,null,null,null,null,null,null,"19                 37.3175378         "]
[null,"BW ",{"$f":"'Key Leads'!P75","v":38},null,null,null,null,null,null,null,null,null,"E     20",34.4,35.85199999999999,{"$f":"'Key Leads'!H165","v":12.206780758556894},10.606780758556894,7.8022847790507388,2.8044959795061555,35.944547769344084,36.4,24.193219241443103,null,null,null,null,null,null,null,null,null,null,null,null,"20                 37.0382069         "]
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{"sheet":"BF","index":17,"n_rows":96,"n_cols":23,"rows_kept":96,"cut":false,"hidden":true,"merged":[]}
[]
[null,"PTW = BF + FW",null,null,"MAR =",{"$f":"1/ F3","v":0.18732654949121186},null,"TW = ",55,{"$f":"Compare!L24","v":50},null,null,null,null,"WWR =",16,"Kro =",{"$f":"'Simple AR Calculator'!C24","v":0.51111111111111107},18]
[null,"DF = FW + BF",null,null,null,{"$f":"'Simple AR Calculator'!H7","v":5.3382716049382708},null,"F = ",12,null,null,null,null,null,"ewrw",{"$f":"P2*R2","v":8.1777777777777771},null,null,{"$f":"Archives!#REF!","v":{"$error":"#REF!"}}]
[null,"BF = (TW - F - W)  ",null,{"$f":"J2-I3-I5","v":30},null,{"$f":"I2*F2","v":10.302960222016653},null,"Wwt",{"$f":"P3","v":8.1777777777777771},null,null,null,null,null,"SW = (((BW + FW) - (WW * KR)) / AR) "]
[null,"BW = ",{"$f":"J2-I3","v":38},null,null,null,null,null,8,null,null,null,null,null,"FW = (SW * AR) + (WW * KR) - BW"]
[null,null,30,null,null,"SIMPLE",null,null,"POLYNOMIAL"]
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[]
[]
[null,null,null,null,null,null,null,{"$f":"E25","v":115},null,null,null,null,{"$f":"'Simple AR Calculator'!D8","v":225},"Key Input"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M19/H19","v":1.9565217391304348}]
[null,null,null,null,null,null,null,null,null,null,null,"Proposed Key Ratio",null,{"$f":"M19/I25","v":1.9067796610169492}]
[null,null,null,null,null,null,"Move Capstan by + or -"]
[null,null,null,null,null,null,null,null,282.66666666666669]
[null,null,null,null,null,null,null,"New Values Below "]
[null,null,null,null,{"$f":"'Simple AR Calculator'!C7","v":115},{"$f":"'Simple AR Calculator'!D7","v":124.61540835707277},{"$f":"Compare!F13","v":3},null,{"$f":"E25+G25","v":118},{"$f":"(F25*I25)/E25","v":127.8662450968225}]
[]
[null,null,null,null,{"$f":"'Simple AR Calculator'!C10","v":64},{"$f":"'Simple AR Calculator'!D10","v":64},{"$f":"G25 * -1","v":-3},null,{"$f":"E27+G27","v":61},{"$f":"(F27*I27)/E27","v":61}]
[]
[]
[]
[]
[null,null,null,null,null,null,"What IF scenario if CHANGING KNUCKLE DIMENSION "]
[null,null,null,null,null,null,null,null,"plus",null,"minus"]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C12","v":18}]
[]
[]
[]
[null,null,282.66666666666669,null,null,null,null,null,null,null,"New Knuckle Dimension"]
[null,null,null,null,null,{"$f":"'Simple AR Calculator'!E9","v":94.349228032083857},{"$f":"'Simple AR Calculator'!D9","v":94},null,null,null,null,{"$f":"Compare!F11","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"L42-J37","v":-18}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(L42>J37,G45-L43,G45+ABS(L43))","v":112},{"$f":"F42-L43","v":112.34922803208386}]
[null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C9","v":94},null,null,null,null,"New Values Above"]
[]
[]
[]
[]
[]
[null,null,null," What IF scenario for a quick change 2 to 1 KEY RATIO"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,{"$f":"F70","v":122.8093879461007}]
[]
[]
[]
[null,null,null,null,null,null,{"$f":"E70","v":113.33333333333334}," ",null,null,{"$f":"E71","v":226.66666666666666}]
[]
[null,null,null,null,{"$f":"'Simple AR Calculator'!C7","v":115},{"$f":"'Simple AR Calculator'!D7","v":124.61540835707277},null,null,null,"Current Key Ratio =",null,null,null,{"$f":"'Simple AR Calculator'!C23","v":1.956521739130435}]
[null,null,null,null,{"$f":"'Simple AR Calculator'!C8","v":225},null,{"$f":"E69+E68","v":340}]
[null,null,null,null,{"$f":"G69-E71","v":113.33333333333334},{"$f":"(F68*E70)/E68","v":122.8093879461007},{"$f":"SQRT(F68^2-E68^2)","v":48.000000000000021}]
[null,null,null,null,{"$f":"(G69*2)/3","v":226.66666666666666},{"$f":"E71","v":226.66666666666666}]
[]
[]
[]
[]
[]
[]
[null,null,null,"Use this What IF scenario to try a Custom KEY RATIO"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,{"$f":"I99","v":104.02677567199119}]
[null,null,{"$f":"L100","v":48.000000000000021},null,null,null,null,{"$f":"'Simple AR Calculator'!D7","v":124.61540835707277}]
[]
[]
[]
[null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C7","v":115}," ",null,null,{"$f":"'Simple AR Calculator'!D8","v":225}]
[null,null,null,null,null,null,{"$f":"H99","v":96},null,null,null,{"$f":"H100","v":244},null,null,"Front Key Segment Trial Options"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Front Seg","Rear Seg","Ratio"]
[null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C7","v":115},{"$f":"'Simple AR Calculator'!D7","v":124.61540835707277},{"$f":"H97+H96","v":340},{"$f":"J96/H97","v":1.5111111111111111},null,null,{"$f":"K93","v":225},{"$f":"$L$99-N96","v":115},{"$f":"N96/O96","v":1.9565217391304348},{"$f":"N96+O96","v":340}]
[null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C8","v":225},null,null,{"$f":"H97/J96","v":0.66176470588235292},330,null,{"$f":"N96+2","v":227},113,2.0088495575221237,{"$f":"N97+O97","v":340}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,229,111,2.0630630630630629,340]
[null,null,null,null,null,null,null,{"$f":"$L$99-H102","v":96},{"$f":"(I96*H99)/H96","v":104.02677567199119},null,null,{"$f":"H97+H96","v":340},null,231,109,2.1192660550458715,340]
[null,null,null,null,null,null,null,{"$f":"L99-H99","v":244},{"$f":"H100","v":244},{"$f":"+H100+H99","v":340},{"$f":"J100/H100","v":1.3934426229508197},{"$f":"SQRT(I96^2-H96^2)","v":48.000000000000021},null,233,{"$f":"$L$99-N100","v":107},{"$f":"N100/O100","v":2.1775700934579438},340]
[null,null,null,"Current Key Ratio =",null,null,null,{"$f":"'Simple AR Calculator'!C23","v":1.956521739130435},null,null,{"$f":"H100/J100","v":0.71764705882352942},null,null,235,105,2.2380952380952381,340]
[null,null,null,"Enter the Key Front you want to try -->>",null,null,null,244,null,null,null,null,null,237,103,2.3009708737864076,340]
[null,null,null,"New Trial Ratio = ",null,null,null,{"$f":"H100/H99","v":2.5416666666666665}]
[null,null,null,"        Millimeter Change at Balance Rail =",null,null,null,{"$f":"H102-K93","v":19}]
[]
[]
[]
[]
[]
[]
[null,"Use this What IF scenario to try a Spread Change"]
[]
[]
[]
[]
[]
[]
[]
[{"$f":"'Simple AR Calculator'!C9","v":94},"sarc",null,null,null,{"$f":"SQRT(G125^2-D124^2)","v":94.677082760296329},null,null,null,null,null,null,null,{"$f":"SQRT(O125^2-L124^2)","v":92.259145888090686}]
[{"$f":"F119","v":94.677082760296329}]
[{"$f":"A119-A120","v":-0.67708276029632941},"dif",null,null,"Your Setup",null,null,null,null,null,null,null,"Proposed Change"]
[null,null,null,null,null,null,null,null,null,null,null,null,"if moving whippen rail / center"]
[]
[{"$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":64.498061986388393},null,{"$f":"D125/25.4","v":2.5392937789916692},{"$f":"A125","v":64.498061986388393},null,null,{"$f":"'Simple AR Calculator'!$C$17","v":114},{"$f":"F119","v":94.677082760296329},null,null,null,null,null,null,112,"<< enter proposed spread change here"]
[]
[{"$f":"A124-A125","v":-0.99806198638839305},"dif",null,null,null,null,null,null,null,null,null,null,null,null,"IMPACTS","Whip in"]
[{"$f":"A127/25.4","v":-3.9293778991669019E-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,{"$f":"N119-F119","v":-2.4179368722056438},"mm*"]
[]
[]
[]
[null,null,null,"Carry In These Values",null,null,null,null,null,null,"Changed Values"]
[null,null,null,null,"MAR","DAR",null,null,null,null,null,"MAR","DAR"]
[null,null,null,"Whip Out",{"$f":"'Simple AR Calculator'!C9","v":94},{"$f":"'Simple AR Calculator'!E9","v":94.349228032083857},null,null,null,null,"Whip Out",{"$f":"E136+P130","v":91.582063127794356},{"$f":"F136+P130","v":91.931291159878214},null,{"$f":"L136","v":91.582063127794356},{"$f":"M136","v":91.931291159878214}]
[null,null,null,"Whip In",{"$f":"'Simple AR Calculator'!C10","v":64},{"$f":"'Simple AR Calculator'!D10","v":64},null,null,null,null,"Whip In",{"$f":"E137+P130","v":61.582063127794356},{"$f":"F137+P130","v":61.582063127794356},null,{"$f":"L137","v":61.582063127794356},{"$f":"M137","v":61.582063127794356}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
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[]
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[]
[]
[null,null,null,"Touchweight Perspective"]
[null,null,null,50,"Grams DW"]
[null,null,null,240,"Front Key Input"]
[null,null,null,55,"Touch Distance (mm) In From Very Front of Key"]
[null,null,null,{"$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":"UPGRADE","index":19,"n_rows":276,"n_cols":17,"rows_kept":276,"cut":false,"hidden":true,"merged":[[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],[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]]}
[]
[]
[]
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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"]
[]
[]
[]
[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  "]
[]
[]
[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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[]
[]
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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":20,"n_rows":273,"n_cols":64,"rows_kept":273,"cut":false,"hidden":true,"merged":[[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],[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],[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],[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]]}
[]
[]
[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":7.1111111111111107},{"$f":"'Simple AR Calculator'!C25","v":1.46875},{"$f":"(0.0035 * E6^2)/3","v":1.9114666666666665E-5},{"$f":"'Simple AR Calculator'!D11/1000","v":0.13741906709041507},{"$f":"'Simple AR Calculator'!H12","v":9.3663274745605936},{"$f":"'Simple AR Calculator'!E9/1000","v":9.4349228032083857E-2},{"$f":"'Simple AR Calculator'!F16/1000","v":1.9829223116542265E-2},{"$f":"'Simple AR Calculator'!D7/1000","v":0.12461540835707277},{"$f":"'Simple AR Calculator'!D10/1000","v":6.4000000000000001E-2},{"$f":"'Simple AR Calculator'!#REF!","v":{"$error":"#REF!"}},{"$f":"(Z41/1000*$E$5^2) + $D$5","v":2.3868527591736053E-4},{"$f":"'Simple AR Calculator'!H12","v":9.3663274745605936},{"$f":"'Simple AR Calculator'!C46","v":5.3382716049382708},{"$f":"'Simple AR Calculator'!C24","v":0.51111111111111107},{"$f":"'Key Leads'!F60","v":17},0,{"$f":"'Key Leads'!L59","v":1.6}]
[{"$f":"'Key Leads'!M71","v":12},"friction",null,null,{"$f":"'Simple AR Calculator'!C11/1000","v":0.128},null,null,null,null,null,{"$f":"K5^2","v":{"$error":"#REF!"}},null,null,null,{"$f":"1/O5","v":1.956521739130435},null,null,{"$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,{"$f":"(M5 * N5) + (P5 * O5) -W41","v":20.68888888888889},null,"Inertia =","Isw*(Wo/Si * Ko/Wi)^2"]
[null,null,null,null,null,null,null,"BW =",{"$f":"'Key Leads'!J86","v":38},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":115},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,{"$f":"Y41","v":13.227335800185017},{"$f":"Z41","v":11.627335800185017},{"$f":"AA41","v":349.34474420876347},{"$f":"AB41","v":4.1540642722117198},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":12.140841813135989},{"$f":"Z52","v":10.540841813135989},{"$f":"AA52","v":303.31365557899824},{"$f":"AB52","v":3.3317580340264676},null,null,{"$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,{"$f":"Y56","v":11.728723404255319},{"$f":"Z56","v":10.12872340425532},{"$f":"AA56","v":287.04320463353031},{"$f":"AB56","v":3.0198487712665405}]
[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":10.829555966697503},{"$f":"Z64","v":9.2295559666975038},{"$f":"AA64","v":254.1749568253812},{"$f":"AB64","v":2.3393194706994334}]
[null,null,null,null,null,null,null,{"$f":"H26/H27","v":2.1014492753623188},{"$f":"I26/I27","v":2.1014492753623188},null,49,{"$f":"Y69","v":10.192645698427384},{"$f":"Z69","v":8.5926456984273845},{"$f":"AA69","v":232.94529403770531},{"$f":"AB69","v":1.8572778827977319}]
[null,null,null,null,null,null,null,{"$f":"1/H29","v":0.47586206896551725},{"$f":"1/I29","v":0.47586206896551725},null,61,{"$f":"Y76","v":9.0686864014801127},{"$f":"Z76","v":7.4686864014801131},{"$f":"AA76","v":199.55918895127738},{"$f":"AB76","v":1.0066162570888471},null,null,{"$f":"R25-R26","v":38}]
[null,null,null,null,null,null,null,{"$f":"H23/H24","v":1.8947368421052631},{"$f":"I23/I24","v":2.8173913043478263},null,88,{"$f":"Y92","v":6.2962534690101757},{"$f":"Z92","v":4.6962534690101752},{"$f":"AA92","v":126.71346468829913},{"$f":"AB92","v":-1.0916824196597359},null,null,{"$f":"R30/36","v":1.0555555555555556}]
[null,null,null,null,null,null,null,null,0,null,"Averages",{"$f":"AVERAGE(L25:L31)","v":10.497720364741644},{"$f":"AVERAGE(M25:M31)","v":8.8977203647416427},{"$f":"AVERAGE(N25:N31)","v":250.44207270342213},{"$f":"AVERAGE(O25:O31)","v":2.0881717526330008},null,null,null,null,null,{"$f":"I29","v":2.1014492753623188}]
[null,null,null,null,null,null,null,null,{"$f":"H27+I35","v":136.5},null,null,null,null,null,null,null,null,null,null,null,{"$f":"I30","v":0.47586206896551725}]
[null,null,3]
[null,{"$f":"D38","v":1.8947368421052631},2,null,null,null,"Capstan Move --->>",null,-1.5]
[null,{"$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,{"$f":"'Simple AR Calculator'!C23","v":1.956521739130435},{"$f":"'Simple AR Calculator'!C24","v":0.51111111111111107},null,"Enter Lead gm -->>",null,13.8,null,{"$f":"'Simple AR Calculator'!A6","v":50},null,null,{"$f":"N5","v":5.3382716049382708}]
[null,{"$f":"'Simple AR Calculator'!D47","v":8.7743086002776671},{"$f":"'Simple AR Calculator'!F74","v":18.345447629308364},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":1.9565217391304348},"A     1",324,{"$f":"IF($I$35<>0,C41*$E$37,C41*$E$38)","v":165.6},{"$f":"((((W41 + U41) - ($I$36 * $O$5)) / $N$5))","v":13.227335800185017},{"$f":"E41-1.6","v":11.627335800185017},{"$f":"($AD41*$S41) * 10000","v":349.34474420876347},50,{"$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":1.9565217391304348},{"$f":"$B$38/C41","v":2.7081199383573045E-2},{"$f":"DEGREES(ATAN(P41))","v":1.5512592762515021},{"$f":"$C$38/Q41","v":11.826164658714381},{"$f":"R41^2","v":139.85817053502504},"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$5))","v":13.227335800185017},{"$f":"Y41-1.6","v":11.627335800185017},{"$f":"($AD41*$S41) * 10000","v":349.34474420876347},{"$f":"(((((Y41 * $B$5 * $C$5) + $P$5) * $O$5 +$Q$5) - X41) * $O$6) / $I$37","v":4.1540642722117198},{"$f":"(((((Y41 * $B$5 * $C$5) + $P$5) * $O$5 +$Q$5) - X41) * $R$5) / $I$37","v":3.397101449275362},{"$f":"(Y41/1000 * $E$5^2)","v":2.4978500925069383E-4},"A#   2",{"$f":"I25","v":282.80769230769164},{"$f":"AF41*$I$30","v":134.57745358090153},{"$f":"AF41/AG41","v":2.1014492753623188},{"$f":"$B$38/AF41","v":3.1025707004925865E-2},{"$f":"DEGREES(ATAN(AI41))","v":1.7770720141708729},{"$f":"$C$38/AJ41","v":10.323412604000623},{"$f":"AK41^2","v":106.57284779243892},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$5))","v":13.189870490286774},{"$f":"AQ41-1.6","v":11.589870490286774},{"$f":"(AV41*AL41) * 10000","v":265.44900024124024},{"$f":"((((((AQ41 * $B$5 * $C$5) + $P$5) * $H$30 +$Q$5) - AP41) *$H$29))  / $I$37","v":3.6006091157319897},{"$f":"(((((((AQ41*$B$5*$C$5)+$P$5)*$H$30+$Q$5)-AP41)*$H$29))*$R$6)/ $I$37","v":2.2503806973324938},{"$f":"(AQ41/1000 * $E$5^2)","v":2.4907751433857542E-4},null,null,41.3,null,"A     1",null,53,50,null,41.1,null,"A#   2",null,"Note","Center"]
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[136,"D#     79",256.22222222222263,120.60114942528755,7.2890841813135996,5.6890841813135999,113.76660187802963,50,1.3913043478260869,1.1130434782608694,0.92521739130434788,128.11111111111131,160.13888888888914,192.64828738512978,null,null,47]
[137,"F#     82",255.16666666666708,120.10431034482778,6.9144310823311761,5.3144310823311756,107.00691640571326,50,1.1014492753623186,0.88115942028985506,0.73246376811594205,127.58333333333354,159.47916666666691,191.85463659147899,null,null,47]
[138,"G#    84",254.11111111111154,119.60747126436802,6.6709065679926001,5.0709065679925995,102.36185142404474,50,0.91304347826086951,0.73043478260869565,0.60717391304347823,127.05555555555577,158.81944444444471,191.06098579782821,null,null,46]
[139,"A#     86",253.055555555556,119.11063218390825,6.4273820536540249,4.8273820536540253,97.784368213272884,50,0.72463768115942029,0.57971014492753625,0.48188405797101447,126.527777777778,158.15972222222251,190.26733500417743]
[]
[null,"Averages",{"$f":"AVERAGE(C104:C139)","v":271.527777777778},{"$f":"AVERAGE(D104:D139)","v":127.80531609195411},{"$f":"AVERAGE(E104:E139)","v":10.417437557816839},{"$f":"AVERAGE(F104:F139)","v":8.8174375578168398},{"$f":"AVERAGE(G104:G139)","v":186.35126471655423},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$150","v":50},11.340729528535981,9.7407295285359812,38,31.2287833103575,40.799999999999997,{"$f":"(S42*U153) * 10000","v":298.02719843024312},{"$f":"(((((E153 * $B$5 * $C$5) + $G$149) * $O$5 +$G$150) - D153) * $B$148) / $J$149","v":4.5259106246894945},{"$f":"(((((E153 * $B$5 * $C$5) + $G$149) * $O$5 +$G$150) - D153) * $B$149) / $J$149","v":3.6207284997515958},{"$f":"(((((E153 * $B$5 * $C$5) + $G$149) * $O$5 +$G$150) - D153) * $B$150) / $J$149","v":3.009730565418514},{"$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,2.1415833641687346E-4]
[null,"C     4",1.6,50,11.265431761786601,9.6654317617866017,38,30.826823380204019,40.6,294.57128181779342,4.4676555623484084,3.574124449878727,2.9709909489616919,162,202.5,243,null,null,null,null,2.1273641338957817E-4]
[null,"D     6",1.6,50,11.144955334987593,9.5449553349875931,38,30.183687491958452,40.1,289.96334928615397,4.3744474626026744,3.4995579700821398,2.9090075626307783,162,202.5,243,null,null,null,null,2.1046133654590568E-4]
[null,"E     8",1.6,50,11.069657568238213,9.4696575682382136,38,29.781727561804971,39.5,286.56008827279993,4.3161924002615901,3.4529539202092718,2.8702679461739571,162,202.5,243,null,null,null,null,2.0903941351861041E-4]
[null,"F     9",1.6,50,10.994359801488834,9.3943598014888341,38,29.37976763165149,39.299999999999997,283.18008194276825,4.2579373379205059,3.4063498703364048,2.8315283297171363,162,202.5,243,null,null,null,null,2.0761749049131513E-4]
[null,"G    11",1.6,50,10.919062034739452,9.3190620347394528,38,28.977807701498008,38.799999999999997,279.82325618129056,4.1996822755794216,3.3597458204635369,2.7927887132603155,162,202.5,243,null,null,null,null,2.0619556746401981E-4]
[null,"A     13",1.6,50,10.873883374689825,9.2738833746898255,38,28.736631743405923,38.299999999999997,277.25750062277689,4.1647292381747709,3.3317833905398171,2.7695449433862227,162,202.5,243,null,null,null,null,2.0534241364764263E-4]
[null,"B    15",1.6,50,10.798585607940446,9.198585607940446,38,28.334671813252442,37.799999999999997,273.94292368714969,4.1064741758336893,3.2851793406669514,2.7308053269294033,162,202.5,243,null,null,null,null,2.0392049062034737E-4]
[null,"C    16",1.6,50,10.708228287841193,9.1082282878411931,38,27.852319897068284,37.5,270.2712180091159,4.0365681010243888,3.2292544808195109,2.6843177871812185,162,202.5,243,null,null,null,null,2.0221418298759305E-4]
[null,"D    18",1.6,50,10.663049627791564,9.063049627791564,38,27.611143938976184,37,267.76076176689196,4.001615063619739,3.2012920508957912,2.6610740173071261,162,202.5,243,null,null,null,null,2.0136102917121587E-4]
[null,"E     20",1.6,50,10.572692307692309,8.9726923076923093,38,27.128792022792013,36.4,264.13670505849205,3.9317089888104384,3.1453671910483507,2.6145864775589418,162,202.5,243,null,null,null,null,1.9965472153846153E-4]
[null,"F     21",1.6,50,10.482334987593052,8.8823349875930528,38,26.646440106607841,36.1,260.5392494920639,3.8618029140011361,3.0894423312009089,2.5680989378107557,162,202.5,243,null,null,null,null,1.9794841390570716E-4]
[null,"G    23",1.6,50,10.391977667493796,8.7919776674937964,38,26.164088190423655,35.5,256.96830612988651,3.791896839191836,3.0335174713534689,2.521611398062571,162,202.5,243,null,null,null,null,1.9624210627295282E-4]
[null,"A     25",1.6,50,10.346799007444169,8.746799007444169,38,25.922912232331576,34.9,254.53519828703313,3.7569438017871857,3.0055550414297487,2.498367628188479,162,202.5,243,null,null,null,null,1.9538895245657567E-4]
[null,"B     27",1.6,50,10.241382133995037,8.6413821339950374,38,25.360168330116707,34.299999999999997,250.64272097609137,3.6753867145096675,2.940309371607734,2.4441321651489289,162,202.5,243,null,null,null,null,1.9339826021836227E-4]
[null,"C     28",1.6,50,10.151024813895784,8.5510248138957845,38,24.87781641393255,34,247.14696968913745,3.6054806397003691,2.8843845117602953,2.397644625400746,162,202.5,243,null,null,null,null,1.9169195258560796E-4]
[null,"D      30",1.6,50,10.105846153846155,8.5058461538461554,38,24.636640455840457,33.299999999999997,244.77164788990186,3.5705276022957171,2.8564220818365738,2.3744008555266518,162,202.5,243,null,null,null,null,1.9083879876923075E-4]
[null,"E      32",1.6,50,10.000429280397023,8.4004292803970237,38,24.073896553625588,32.700000000000003,240.95959480450486,3.4889705150181989,2.791176412014559,2.3201653924871026,162,202.5,243,null,null,null,null,1.8884810653101736E-4]
[null,"F      33",1.6,50,9.8950124069478917,8.2950124069478921,38,23.511152651410711,32.4,237.1773262672518,3.4074134277406825,2.7259307421925465,2.2659299294475539,162,202.5,243,null,null,null,null,1.8685741429280396E-4]
[null,"G     35",1.6,50,9.8046550868486353,8.2046550868486356,38,23.028800735226532,31.7,233.78382100365167,3.3375073529313801,2.6700058823451043,2.2194423896993678,162,202.5,243,null,null,null,null,1.851511066600496E-4]
[null,"A      37",1.6,50,9.7444168734491328,8.1444168734491331,38,22.707232791103756,31,231.13053473649268,3.2909033030585162,2.6327226424468133,2.1884506965339137,162,202.5,243,null,null,null,null,1.8401356823821342E-4]
[null,"B     39",1.6,50,9.6390000000000011,8.0390000000000015,38,22.144488888888887,30.4,227.42949404084951,3.2093462157810002,2.5674769726247999,2.1342152334943649,162,202.5,243,null,null,null,null,1.8202287600000002E-4]
[null,"C     40",1.6,50,9.5185235732009943,7.9185235732009946,38,21.501353000643327,30,223.40438755750094,3.1161381160352635,2.4929104928282113,2.0722318471634504,162,202.5,243,null,null,null,null,1.7974779915632755E-4]
[null,"D     42",1.6,50,9.45828535980149,7.8582853598014903,38,21.179785056520537,29.3,220.81865495579061,3.0695340661623955,2.4556272529299163,2.0412401539979932,162,202.5,243,null,null,null,null,1.7861026073449132E-4]
[null,"E     44",1.6,50,9.3378089330024814,7.7378089330024817,38,20.53664916827497,28.5,216.85202067018614,2.9763259664166632,2.3810607731333309,1.9792567676670809,162,202.5,243,null,null,null,null,1.7633518389081884E-4]
[null,"F     45",1.6,50,9.2022729528535994,7.6022729528535997,38,19.813121293998712,28.1,212.5703142485755,2.8714668542027129,2.2971734833621706,1.9095254580448042,162,202.5,243,null,null,null,null,1.7377572244168735E-4]
[null,"G     47",1.6,50,9.0817965260545908,7.4817965260545911,38,19.169985405753145,27.3,208.6710124058373,2.7782587544569783,2.2226070035655829,1.8475420717138908,162,202.5,243,null,null,null,null,1.7150064559801488E-4]
[null,"A      49",1.6,50,9.0064987593052113,7.4064987593052116,38,18.768025475599664,26.4,205.8367929006188,2.7200036921158941,2.1760029536927155,1.8088024552570698,162,202.5,243,null,null,null,null,1.7007872257071959E-4]
[null,"B     51",1.6,50,8.8709627791563275,7.2709627791563278,38,18.0444976013234,25.6,201.65463090559328,2.6151445799019419,2.0921156639215539,1.7390711456347916,162,202.5,243,null,null,null,null,1.6751926112158806E-4]
[null,"C     52",1.6,50,8.7354267990074455,7.1354267990074458,38,17.320969727047149,25.1,197.508476982541,2.5102854676879938,2.008228374150395,1.6693398360125158,162,202.5,243,null,null,null,null,1.6495979967245659E-4]
[null,"D      54",1.6,50,8.660129032258066,7.0601290322580663,38,16.919009796893668,24.2,194.75286165620932,2.4520304053469095,1.9616243242775275,1.6306002195556948,162,202.5,243,null,null,null,null,1.6353787664516131E-4]
[null,"E      56",1.6,50,8.509533498759307,6.9095334987593073,38,{"$f":"((E184*$N$5) + ($G$149*$O$5)) -G184 +$J$150","v":16.115089936586713},23.3,{"$f":"(S73*U184) * 10000","v":190.33417847498055},2.335520280664741,1.868416224531793,1.5531209866420528,162,202.5,243,null,null,null,null,{"$f":"((E184/1000)*$E$5^2)","v":1.6069403059057076E-4}]
[null,"F      57",1.6,50,8.3589379652605462,6.7589379652605466,38,15.311170076279751,22.8,185.9547658276729,2.2190101559825726,1.7752081247860581,1.4756417537284108,162,202.5,243,null,null,null,null,1.5785018453598013E-4]
[null,"G      59",1.6,50,8.1932828784119103,6.5932828784119106,38,14.426858229942091,21.8,181.28127387853746,2.0908490188321882,1.6726792150657506,1.390414597523405,162,202.5,243,null,null,null,null,1.547219538759305E-4]
[null,"A       61",1.6,50,8.1029255583126556,6.502925558312656,38,13.944506313757927,20.8,178.30732930466479,2.0209429440228877,1.6167543552183103,1.3439270577752205,162,202.5,243,null,null,null,null,1.5301564624317616E-4]
[null,"B       63",1.6,50,7.9372704714640214,6.3372704714640218,38,13.060194467420274,19.7,173.70983558079803,1.8927818068725033,1.5142254454980026,1.2586999015702147,162,202.5,243,null,null,null,null,1.4988741558312658E-4]
[null,"C       64",1.6,50,7.7565558312655085,6.1565558312655089,38,12.095490635051917,19.100000000000001,168.82685598709313,1.7529696572539009,1.4023757258031209,1.1657248220738441,162,202.5,243,null,null,null,null,1.4647480031761785E-4]
[null,"D       66",1.6,50,{"$f":"F190+C190","v":7.6661985111662538},6.0661985111662542,38,11.613138718867752,18,165.94551234454448,1.6830635824446016,1.3464508659556813,1.1192372823256602,162,202.5,243,null,null,null,null,1.4476849268486354E-4]
[null,"E       68",1.6,50,7.4704243176178657,5.8704243176178661,38,10.568042900468697,16.8,160.81886343416141,1.5316004203577831,1.2252803362862266,1.0185142795379258,162,202.5,243,null,null,null,null,1.4107149281389578E-4]
[null,"F       69",1.6,50,7.2746501240694776,5.674650124069478,38,9.5229470820696491,16.2,155.74118844683244,1.3801372582709646,1.1041098066167718,0.91779127675019156,162,202.5,243,null,null,null,null,1.3737449294292799E-4]
[null,"G      71",1.6,50,7.0788759305210913,5.4788759305210917,38,8.4778512636706083,14.9,150.71229468417494,1.228674096184146,0.98293927694731686,0.81706827396245718,162,202.5,243,null,null,null,null,1.3367749307196028E-4]
[null,"A       73",1.6,50,6.9734590570719597,5.37345905707196,38,7.915107361455739,13.6,147.64507347916739,1.1471170089066287,0.91769360712530312,0.76283281092290822,162,202.5,243,null,null,null,null,1.3168680083374686E-4]
[null,"B      75",1.6,50,6.7776848635235734,5.1776848635235737,38,6.8700115430566981,12.3,142.70253177653001,0.99565384681981128,0.79652307745584905,0.6621098081351745,162,202.5,243,null,null,null,null,1.2798980096277913E-4]
[null,"C      76",1.6,50,6.581910669975187,4.9819106699751874,38,5.8249157246576644,11.6,137.80822284932196,0.84419068473299375,0.67535254778639509,0.5613868053474409,162,202.5,243,null,null,null,null,1.2429280109181143E-4]
[null,"D       78",1.6,50,6.4764937965260554,4.8764937965260557,38,5.262171822442788,10.3,134.84323008570888,0.76263359745547654,0.61010687796438123,0.50715134230789194,162,202.5,243,null,null,null,null,1.2230210885359801E-4]
[null,"E       80",1.6,50,6.2807196029776691,4.6807196029776694,38,4.2170760040437472,9,130.03426525775328,0.61117043536866,0.48893634829492799,0.40642833952015894,162,202.5,243,null,null,null,null,1.1860510898263029E-4]
[null,"F       81",1.6,50,6.069885856079404,4.4698858560794044,38,3.0915881996140016,8.3000000000000007,124.96294825273472,0.44805626081362337,0.35844500865089873,0.29795741344105958,162,202.5,243,null,null,null,null,1.1462372450620346E-4]
[null,"G      83 ",1.6,50,5.8741116625310177,4.274111662531018,38,2.0464923812149607,7,120.25090672289058,0.29659309872680484,0.23727447898144391,0.19723441065332523,162,202.5,243,null,null,null,null,1.1092672463523573E-4]
[null,"A       85",1.6,50,5.783754342431763,4.1837543424317634,38,1.5641404650307891,5.6,117.731986473631,0.22668702391750564,0.18134961913400452,0.15074687090514124,162,202.5,243,null,null,null,null,1.092204170024814E-4]
[null,"B       87",1.6,50,5.9795285359801493,4.3795285359801497,38,2.6092362834298299,4.3,121.02721962815021,0.37815018600432215,0.30252014880345768,0.25146987369287427,162,202.5,243,null,null,null,null,1.1291741687344913E-4]
[null,"C       88",1.6,50,5.8741116625310177,4.274111662531018,38,2.0464923812149607,3.7,118.21776940664762,0.29659309872680484,0.23727447898144391,0.19723441065332523,162,202.5,243,null,null,null,null,1.1092672463523573E-4]
[]
[null,null,null,null,{"$f":"AVERAGE(E152:E203)","v":8.9517630750143162},{"$f":"AVERAGE(F152:F203)","v":7.3517630750143184},null,null,null,{"$f":"AVERAGE(J152:J203)","v":210.80397518610425},2.3749798404210174,1.8999838723368137,1.8999838723368137,{"$f":"AVERAGE(N152:N203)","v":162},{"$f":"AVERAGE(O152:O203)","v":202.5},{"$f":"AVERAGE(P152:P203)","v":243}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[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"]
[null,"A#   2",1.6,{"$f":"G236+$G$150","v":50},{"$f":"F236+C236","v":11.41602729528536},9.8160272952853607,38,{"$f":"((E236*$N$5)+($G$149*$O$5)-G236)","v":31.630743240510967},41.1,{"$f":"W236*AL41*10000","v":229.75002176797886},{"$f":"(((((E236 * $B$5 * $C$5) + $P$5) * $C$98 +$G$150) - D236) * $A$98) / $J$149","v":3.8882062343518067},{"$f":"(((((E236 * $B$5 * $C$5) + $P$5) * $C$98 +$G$150) - D236) * $A$99) / $J$149","v":3.1105649874814456},{"$f":"(((((E236 * $B$5 * $C$5) + $P$5) * $C$98 +$G$150) - D236) * $A$100) / $J$149","v":2.5856571458439515},{"$f":"L104","v":145},{"$f":"M104","v":181.25},{"$f":"N104","v":218.04511278195488},null,null,null,null,null,null,{"$f":"((E236/1000)*$E$5^2)","v":2.1558025944416872E-4}]
[null,"C#   5",1.6,{"$f":"G237+$G$150","v":50},{"$f":"F237+C237","v":11.29555086848635},9.6955508684863503,38,{"$f":"((E237*$N$5)+($G$149*$O$5)-G237)","v":30.987607352265385},40.299999999999997,{"$f":"W237*AL42*10000","v":225.63271514540628},{"$f":"(((((E237 * $B$5 * $C$5) + $P$5) * $C$98 +$G$150) - D237) * $A$98) / $J$149","v":3.801426279416122},{"$f":"(((((E237 * $B$5 * $C$5) + $P$5) * $C$98 +$G$150) - D237) * $A$99) / $J$149","v":3.0411410235328979},{"$f":"(((((E237 * $B$5 * $C$5) + $P$5) * $C$98 +$G$150) - D237) * $A$100) / $J$149","v":2.5279484758117214},{"$f":"L105","v":144.47222222222223},{"$f":"M105","v":180.59027777777777},{"$f":"N105","v":217.2514619883041},null,null,null,null,null,null,{"$f":"((E237/1000)*$E$5^2)","v":2.1330518260049622E-4}]
[null,"D#   7",1.6,50,11.220253101736974,9.6202531017369743,38,30.585647422111933,39.799999999999997,222.45349375004452,3.7471888075813209,2.9977510460650572,2.4918805570415787,143.94444444444446,179.93055555555557,216.45781119465332,null,null,null,null,null,null,2.1188325957320099E-4]
[null,"F#   10",1.6,50,11.099776674937965,9.4997766749379657,38,29.942511533866366,39,218.41400512922135,3.6604088526456384,2.9283270821165108,2.4341718870093496,143.41666666666669,179.27083333333337,215.66416040100253,null,null,null,null,null,null,2.0960818272952852E-4]
[null,"G#  12",1.6,50,11.024478908188586,9.4244789081885862,38,29.540551603712885,38.5,215.29880809226992,3.6061713808108351,2.8849371046486683,2.3981039682392056,142.88888888888891,178.61111111111114,214.87050960735175,null,null,null,null,null,null,2.0818625970223323E-4]
[null,"A#   14",1.6,50,10.949181141439206,9.3491811414392068,38,29.138591673559404,38,212.21206089907258,3.551933908976034,2.8415471271808275,2.3620360494690629,142.36111111111114,177.95138888888891,214.07685881370097,null,null,null,null,null,null,2.0676433667493794E-4]
[null,"C#  17",1.6,50,10.828704714640198,9.2287047146401981,38,28.495455785313837,37.200000000000003,208.28464833248344,3.4651539540403471,2.772123163232278,2.3043273794368311,141.83333333333337,177.29166666666671,213.28320802005018,null,null,null,null,null,null,2.0448925983126547E-4]
[null,"D#  19",1.6,50,10.75340694789082,9.1534069478908204,38,28.09349585516037,36.700000000000003,205.26103941737887,3.410916482205546,2.7287331857644372,2.2682594606666884,141.3055555555556,176.63194444444451,212.4895572263994,null,null,null,null,null,null,2.0306733680397021E-4]
[null,"F#   22",1.6,50,10.617870967741936,9.0178709677419366,38,27.369967980884098,35.799999999999997,201.1244389177788,3.3132890329029037,2.6506312263223233,2.2033372068804313,140.77777777777783,175.97222222222229,211.69590643274861,null,null,null,null,null,null,{"$f":"((E244/1000)*$E$5^2)","v":2.0050787535483871E-4}]
[null,"G#  24",1.6,50,10.527513647642682,8.927513647642682,38,26.887616064699941,35.200000000000003,197.88248006286418,3.2482040667011409,2.5985632533609127,2.1600557043562589,140.25000000000006,175.31250000000006,210.90225563909783,null,null,null,null,null,null,1.9880156772208437E-4]
[null,"A#   26",1.6,50,10.437156327543425,8.8371563275434255,38,26.405264148515755,34.6,194.67264065821246,3.1831191004993777,2.5464952803995025,2.1167742018320865,139.72222222222229,174.65277777777786,210.10860484544705,null,null,null,null,null,null,1.9709526008933003E-4]
[null,"C#   29",1.6,50,10.301620347394541,8.7016203473945417,38,25.681736274239498,33.700000000000003,190.65861870083091,3.0854916511967354,2.4683933209573881,2.051851948045829,139.19444444444451,173.99305555555566,209.31495405179626,null,null,null,null,null,null,1.9453579864019848E-4]
[null,"D#    31",1.6,50,10.196203473945411,8.5962034739454118,38,25.118992372024636,33,187.24250147231254,3.0095591906280106,2.407647352502408,2.0013568617676269,138.66666666666674,173.33333333333343,208.52130325814548,null,null,null,null,null,null,1.9254510640198514E-4]
[null,"F#    34",1.6,50,10.060667493796528,8.460667493796528,38,24.395464497748371,32.1,183.31353903409152,2.91193174132537,2.3295453930602963,1.9364346079813712,138.13888888888897,172.6736111111112,207.72765246449467,null,null,null,null,null,null,1.8998564495285362E-4]
[null,"G#   36",1.6,50,9.9552506203473996,8.3552506203474,38,23.832720595533516,31.4,179.97343746196461,2.8359992807566452,2.2687994246053163,1.8859395217031691,137.6111111111112,172.013888888889,206.93400167084388,null,null,null,null,null,null,1.8799495271464025E-4]
[null,"A#    38",1.6,50,9.8498337468982626,8.249833746898263,38,23.269976693318618,30.7,176.66891397514414,2.7600668201879204,2.2080534561503362,1.835444435424967,137.08333333333343,171.3541666666668,206.1403508771931,null,null,null,null,null,null,1.8600426047642678E-4]
[null,"C#   41",1.6,50,9.6841786600496285,8.0841786600496288,38,22.385664846980973,29.6,172.32786537463704,2.6407443821513561,2.1125955057210852,1.7560950141306519,136.55555555555566,170.69444444444457,205.34670008354232,null,null,null,null,null,null,1.8287602981637715E-4]
[null,"D#   43",1.6,50,9.5787617866004986,7.978761786600499,38,21.822920944766111,28.9,169.10245330830679,2.5648119215826353,2.0518495372661083,1.7055999278524527,136.02777777777789,170.03472222222234,204.55304928989153,null,null,null,null,null,null,1.8088533757816379E-4]
[null,"F#   46",1.6,50,9.3980471464019857,7.798047146401986,38,20.858217112397753,27.7,164.5933214958248,2.4346419891791093,1.9477135913432877,1.6190369228041079,135.50000000000011,169.37500000000014,203.75939849624075,null,null,null,null,null,null,1.7747272231265508E-4]
[null,"G#   48",1.6,50,9.2775707196029789,7.6775707196029792,38,20.215081224152193,26.9,161.18664017204148,2.3478620342434247,1.8782896273947398,1.5613282527718775,134.97222222222234,168.71527777777794,202.96574770258997,null,null,null,null,null,null,{"$f":"((E255/1000)*$E$5^2)","v":1.7519764546898264E-4}]
[null,"A#    50 ",1.6,50,9.1420347394540951,7.5420347394540954,38,19.491553349875929,26,157.55922248858934,2.2502345849407801,1.8001876679526243,1.4964059989856189,134.44444444444457,168.05555555555571,202.17209690893918,null,null,null,null,null,null,1.7263818401985111E-4]
[null,"C#    53",1.6,50,8.946260545905707,7.3462605459057073,38,18.446457531476881,24.7,152.94475803476476,2.1092171581702943,1.6873737265362356,1.4026294101832459,133.9166666666668,167.39583333333348,201.3784461152884,null,null,null,null,null,null,1.6894118414888335E-4]
[null,"D#    55",1.6,50,8.8107245657568232,7.2107245657568235,38,17.722929657200616,23.8,149.41099517637434,2.0115897088676489,1.6092717670941192,1.3377071563969867,133.38888888888903,166.73611111111128,200.58479532163761,null,null,null,null,null,null,1.6638172269975185E-4]
[null,"F#    58",1.6,50,8.5848312655086865,6.9848312655086868,38,16.517049866740194,22.3,144.39968529969241,1.8488772933632447,1.479101834690596,1.2295034000865577,132.86111111111126,166.07638888888908,199.79114452798683,null,null,null,null,null,null,1.6211595361786604E-4]
[null,"G#    60",1.6,50,8.4342357320099257,6.8342357320099261,38,15.713130006433225,21.3,140.71141216512399,1.7404023496936392,1.3923218797549115,1.15736756254627,132.33333333333348,165.41666666666686,198.99749373433605,null,null,null,null,null,null,1.5927210756327541E-4]
[null,"A#     62",1.6,50,8.2685806451612898,6.6685806451612901,38,14.828818160095572,20.2,136.81984417509236,1.6210799116570742,1.2968639293256592,1.0780181412519545,131.80555555555571,164.75694444444463,198.20384294068526,null,null,null,null,null,null,1.5614387690322579E-4]
[null,"C#     65",1.6,50,8.0276277915632761,6.4276277915632765,38,13.542546383604446,18.600000000000001,131.74228949110773,1.4475200017857079,1.1580160014285663,0.9626008011874958,131.27777777777794,164.09722222222243,197.41019214703448,null,null,null,null,null,null,1.5159372321588087E-4]
[null,"D#     67",1.6,50,7.846913151364765,6.2469131513647653,38,12.577842551236095,17.399999999999999,127.71498963976431,1.3173500693821829,1.0538800555057464,0.87603779613915167,130.75000000000017,163.43750000000023,196.6165413533837,null,null,null,null,null,null,1.4818110795037222E-4]
[null,"F#     70",1.6,50,7.5607816377171222,5.9607816377171225,38,11.050394816652883,15.5,122.03933736201853,1.1112476764099342,0.88899814112794739,0.73897970481260622,130.2222222222224,162.777777777778,195.82289055973291,null,null,null,null,null,null,1.4277780044665012E-4]
[null,"G#    72",1.6,50,7.3800669975186111,5.7800669975186114,38,10.085690984284533,14.3,118.13226079425094,0.98107774400640912,0.78486219520512734,0.65241669976426209,129.69444444444463,162.11805555555577,195.02923976608213,null,null,null,null,null,null,1.3936518518114144E-4]
[null,"A#     74",1.6,50,7.1842928039702247,5.5842928039702251,38,9.0405951658854917,13,114.03866420543656,0.84006031723592334,0.67204825378873878,0.55864011096188904,129.16666666666686,161.45833333333357,194.23558897243134,null,null,null,null,null,null,1.356681853101737E-4]
[null,"C#     77",1.6,50,6.883101736972705,5.2831017369727054,38,7.4327554452715745,11,108.34200428878083,0.62311042989671372,0.49848834391737101,0.41436843588131467,128.63888888888908,160.79861111111137,193.44193817878056,null,null,null,null,null,null,1.2998049320099255E-4]
[null,"D#     79",1.6,50,6.6722679900744435,5.0722679900744438,38,6.3072676408418431,9.6,104.13945526878557,0.47124550875926913,0.37699640700741532,0.31337826332491397,128.11111111111131,160.13888888888914,192.64828738512978,null,null,null,null,null,null,1.2599910872456577E-4]
[null,"F#     82",1.6,50,6.3710769230769237,4.7710769230769241,38,4.6994279202279188,7.6,98.598031798186881,0.25429562142005951,0.20343649713604761,0.16910658824433958,127.58333333333354,159.47916666666691,191.85463659147899,null,null,null,null,null,null,1.2031141661538461E-4]
[null,"G#    84",1.6,50,6.1753027295285357,4.575302729528536,38,3.6543321018288708,6.3,94.75704899412392,0.11327819464957266,9.0622555719658132E-2,7.532999944196582E-2,127.05555555555577,158.81944444444471,191.06098579782821,null,null,null,null,null,null,1.1661441674441685E-4]
[null,"A#     86",1.6,50,5.9795285359801493,4.3795285359801497,38,2.6092362834298299,5,90.970851774968907,-2.7739232120912109E-2,-2.2191385696729689E-2,-1.8446589360406555E-2,126.527777777778,158.15972222222251,190.26733500417743,null,null,null,null,null,null,1.1291741687344913E-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":164.12151372569235},{"$f":"AVERAGE(K236:K271)","v":2.2827770680416615},1.8262216544333301,1.5180467502477051,135.763888888889,169.70486111111126,204.15622389306617]

{"sheet":"Balance Weight","index":21,"n_rows":200,"n_cols":28,"rows_kept":200,"cut":false,"hidden":false,"merged":[[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],[1,1,1,5],[3,9,3,11],[27,1,27,11],[26,1,26,11],[9,5,9,9],[1,11,1,13]]}
[]
[null,"SW = (((BW + FW) - (WW * KR)) / AR) ",null,null,null,null,null,null,null,null,"Inertia =","Iham*(Wo/Si * Ko/Wi)^2      =",null,null,{"$f":"O3*(E4/F4 * G4/H4)^2","v":1.9041348224207544E-2}]
[null,"shank","So","Ham","Wo ","Si","Ko","Wi","Rots Avg",null,null,null,null,"iham =",{"$f":"D4*C4^2","v":2.2184459397779827E-4},"KR"]
[null,{"$f":"'Key Leads'!D133","v":2.1845333333333336E-5},{"$f":"'Key Leads'!E133","v":0.13741906709041507},{"$f":"'Key Leads'!F133","v":1.1747754394079555E-2},{"$f":"'Key Leads'!G133","v":9.4349228032083857E-2},{"$f":"'Key Leads'!H133","v":1.9829223116542265E-2},{"$f":"'Key Leads'!I133","v":0.12461540835707277},{"$f":"'Key Leads'!J133","v":6.4000000000000001E-2},{"$f":"'Key Leads'!K133","v":8.2411115245841842},"Isw = (SW * So^2) + SS",null,null,null,null,null,{"$f":"'Key Leads'!Q86","v":0.51111111111111107}]
[null,null,{"$f":"'Key Leads'!E134","v":0.128},null,null,null,null,null,{"$f":"I4^2","v":67.91591916063426}]
[null,null,null,null,null,null,null,"Rots avg.>",{"$f":"'Key Leads'!K135","v":8.2411115245841842},{"$f":"'Key Leads'!L135","v":{"$error":"#REF!"}}]
[null,{"$f":"'Key Leads'!N56","v":225},{"$f":"'Key Leads'!H69","v":115},{"$f":"'Key Leads'!N59","v":140.625},null,null,null,null,null,null,null,null,"#Lds = (Ld_tot - KIW_fac) / Std. Ld,"]
[null,{"$f":"B7/2","v":112.5},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,{"$f":"'Simple AR Calculator'!C6","v":"Krakauer 5'10\""}]
[null,"Note -->>","A 1","  E 20","A# 26","B27","C 40","A 49","A 61","C 88","Inert. Avg","MAR"]
[null,"Ham gms",{"$f":"E39","v":11.408974068554395},{"$f":"E58","v":10.395297764530552},{"$f":"E64","v":9.9075219076005965},{"$f":"E65","v":9.8566283159463488},{"$f":"E78","v":8.9447391952309996},{"$f":"E87","v":8.151601788375558},{"$f":"E99","v":7.019173770491804},{"$f":"E126","v":3.9358247391952315},{"$f":"I128","v":125.33237925795761},{"$f":"'Simple AR Calculator'!H7","v":5.3382716049382708}]
[]
[null,"Shank radii weights below","Enter Whip Radius Weight -->",null,null,17,null,null,null,null,null,null,{"$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":112.5},{"$f":"'Key Leads'!L144","v":140.625}]
[null,null,"DW","SW","Hammer","BW","FW ","FW Max","Inertia","# of Lds","# of Lds","Note","Tot. Ld. Ms.","Tot. Ld. Ms.","Front Weight, Strike Weight RO, and Balance Weight"]
[{"$f":"G39/H39","v":0.88621062004690732},1.5,{"$f":"F39+$F$37","v":53},{"$f":"E39+B39","v":12.908974068554395},11.408974068554395,41,{"$f":"((D39*$L$33) +($F$35*$P$4)-F39) + $I$37","v":36.600498607937269},41.3,{"$f":"(((D39/1000*$C$4^2)*$I$4^2))*10000","v":165.56071865089362},{"$f":"(M39 - $M$35*2) / $I$36","v":5.3044200881068502},{"$f":"(N39 - $N$35*2) / $I$36","v":4.2435360704854803},"A     1",{"$f":"G39*($B$7/$B$8)","v":73.200997215874537},{"$f":"G39*($B$7/$D$7)","v":58.56079777269963},"FW = (SW * AR) + (WW * KR) - BW",null,null,null,"AR = BW + FW - (WW * KR)",null,null,null,{"$f":"(M39*$J$37)/($I$36*ROUND(J39,0))","v":119.34945198240413},{"$f":"ROUND(J39,0)","v":5},{"$f":"(N39*$K$37)/($I$36*ROUND(K39,0))","v":149.18681497800517},{"$f":"ROUND(K39,0)","v":4},null,"Note   SW  FW_max"]
[{"$f":"G40/H40","v":0.88611620594817098},1.5,{"$f":"F40+$F$37","v":53},{"$f":"E40+B40","v":12.875045007451567},11.375045007451567,41,{"$f":"((D40*$L$33) +($F$35*$P$4)-F40) + $I$37","v":36.41937606446983},41.1,{"$f":"(((D40/1000*$C$4^2)*$I$4^2))*10000","v":165.12557022550345},{"$f":"(M40 - $M$35*2) / $I$36","v":5.2781704441260624},4.2225363553008499,"A#   2",{"$f":"G40*($B$7/$B$8)","v":72.83875212893966},58.271001703151732,"SW =",{"$f":"D39","v":12.908974068554395},"grams",null,null,"SW",null,null,118.75883499283641,5,148.44854374104551,4,null,{"$f":"L39 &\"         \"&ROUND(D39,1)&\"      \"&ROUND(H39,1)","v":"A     1         12.9      41.3"}]
[0.88597284924678021,1.5,53,12.824151415797317,11.324151415797317,41,36.14769224926863,40.799999999999997,164.47284758741807,5.2387959781548732,4.1910367825238994,"B     3",72.29538449853726,57.836307598829812,"FW =",{"$f":"((P40*L33) + (F35 * P4)) - F39 + I37","v":36.600498607937269},"grams",{"$f":"P41/1000","v":3.6600498607937265E-2},null,null,null,null,117.87290950848465,5,147.34113688560583,4,null,{"$f":"L40 &\"         \"&ROUND(D40,1)&\"      \"&ROUND(H40,1)","v":"A#   2         12.9      41.1"}]
[0.88587610112810777,1.5,53,12.790222354694487,11.290222354694487,41,35.966569705801177,40.6,164.03769916202785,5.2125463341740836,4.1700370673392673,"C     4",71.933139411602355,57.546511529281887,"Click 2 cells below for FW max values",null,null,null,"SW =",{"$f":"P40","v":12.908974068554395},null,null,117.28229251891689,5,146.60286564864609,4,null,"B     3         12.8      40.8"]
[0.8857291784267981,1.5,53,12.739328763040238,11.239328763040238,41,35.694885890599963,40.299999999999997,163.38497652394247,5.1731718682028927,4.138537494562315,"C#   5",71.389771781199926,57.111817424959945,"Note    SW  FW_max",null,null,null,"BW =",{"$f":"F39","v":41},null,null,116.3963670345651,5,145.49545879320638,4,null,"C     4         12.8      40.6"]
[0.88563000865667107,1.5,53,12.705399701937408,11.205399701937408,41,35.51376334713251,40.1,162.94982809855225,5.1469222242221031,4.117537779377682,"D     6",71.027526694265021,56.822021355412019,"A     1         12.8      41.3",null,null,null,"FW =",{"$f":"P41","v":36.600498607937269},null,null,115.80575004499731,5,144.75718755624666,4,null,"C#   5         12.7      40.3"]
[0.88547938522440484,1.5,53,12.654506110283158,11.154506110283158,41,35.24207953193131,39.799999999999997,162.29710546046684,5.1075477582509139,4.0860382066007315,"D#   7",70.48415906386262,56.387327251090099,null,null,null,null,"WW =",{"$f":"F35","v":17},null,null,114.91982456064558,5,143.64978070080696,4,null,{"$f":"L44 &\"         \"&ROUND(D44,1)&\"         \"&ROUND(H44,1)","v":"D     6         12.7         40.1"}]
[0.88532647384126895,1.5,53,12.603612518628912,11.103612518628912,41,34.970395716730124,39.5,161.64438282238152,5.0681732922797282,4.0545386338237828,"E     8",69.940791433460248,55.9526331467682,null,null,null,null,"KR = ",{"$f":"P4","v":0.51111111111111107},null,null,114.03389907629388,5,142.54237384536736,4,null,{"$f":"L45 &\"         \"&ROUND(D45,1)&\"         \"&ROUND(H45,1)","v":"D#   7         12.7         39.8"}]
[0.88522323596088226,1.5,53,12.569683457526082,11.069683457526082,41,34.789273173262671,39.299999999999997,161.20923439699129,5.0419236482989378,4.0335389186391497,"F     9",69.578546346525343,55.662837077220274,null,null,null,null,"AR = ",{"$f":"((T43+T44) - (T45 * T46)) /P40","v":5.3382716049382708},null,null,113.4432820867261,5,141.80410260840762,4,null,{"$f":"L46 &\"         \"&ROUND(D46,1)&\"         \"&ROUND(H46,1)","v":"E     8         12.6         39.5"}]
[0.88506639379644836,1.5,53,12.518789865871835,11.018789865871835,41,34.517589358061485,39,160.55651175890594,5.0025491823277513,4.002039345862201,"F#   10",69.035178716122971,55.228142972898382,"BW = (SW * AR) + (WW * KR) - FW",null,null,null,"BW =",{"$f":"(P40*T47)+(T45*T46)-T44","v":41},null,null,112.55735660237441,5,140.69669575296803,4,null,{"$f":"L47 &\"         \"&ROUND(D47,1)&\"       \"&ROUND(H47,1)","v":"F     9         12.6       39.3"}]
[0.88496048491221702,1.5,53,12.484860804769003,10.984860804769003,41,34.336466814594019,38.799999999999997,160.12136333351572,4.976299538346959,3.9810396306775675,"G    11",68.672933629188037,54.938346903350435,null,null,null,null,"UW =",{"$f":"T48*2 -C39","v":29},null,null,111.96673961280658,5,139.95842451600825,4,null,{"$f":"L48 &\"        \"&ROUND(D48,1)&\"       \"&ROUND(H48,1)","v":"F#   10        12.5       39"}]
[0.8847995584257875,1.5,53,12.433967213114755,10.933967213114755,41,34.064782999392818,38.5,159.46864069543034,4.9369250723757707,3.949540057900617,"G#  12",68.129565998785637,54.503652799028515,"SW = (((BW + FW) - (WW * KR)) / AR) ",null,null,null,"SW=",{"$f":"((T43+T44) - (T45 * T46)) / L33","v":12.908974068554395},null,null,111.08081412845485,5,138.85101766056857,4,null,{"$f":"L49 &\"        \"&ROUND(D49,1)&\"       \"&ROUND(H49,1)","v":"G    11        12.5       38.8"}]
[0.88537554413861363,1.5,52,12.217623845007452,10.717623845007452,40,33.909883340508898,38.299999999999997,156.6939846066517,4.9144758464505651,3.931580677160452,"A     13",67.819766681017796,54.255813344814243,null,null,null,null,null,null,null,null,110.57570654513772,5,138.21963318142215,4,null,{"$f":"L50 &\"        \"&ROUND(D50,1)&\"       \"&ROUND(H50,1)","v":"G#  12        12.4       38.5"}]
[0.88521577698178189,1.5,52,12.166730253353204,10.666730253353204,40,33.638199525307712,38,156.04126196856632,4.8751013804793786,3.9000811043835029,"A#   14",67.276399050615424,53.821119240492344,null,null,null,null,null,null,null,null,109.68978106078602,5,137.11222632598253,4,null,{"$f":"L51 &\"       \"&ROUND(D51,1)&\"       \"&ROUND(H51,1)","v":"A     13       12.2       38.3"}]
[0.88510785666244041,1.5,52,12.132801192250373,10.632801192250373,40,33.457076981840245,37.799999999999997,155.60611354317609,4.8488517364985864,3.8790813891988694,"B    15",66.914153963680491,53.531323170944397,null,null,null,null,null,null,null,null,109.0991640712182,5,136.37395508902273,4,null,{"$f":"L52 &\"        \"&ROUND(D52,1)&\"       \"&ROUND(H52,1)","v":"A#   14        12.2       38"}]
[0.88494381777704123,1.5,52,12.081907600596125,10.581907600596125,40,33.185393166639045,37.5,154.95339090509071,4.809477270527398,3.8475818164219184,"C    16",66.37078633327809,53.096629066622477,null,null,null,null,null,null,null,null,108.21323858686645,5,135.26654823358308,4,null,"B    15         12.1      37.8"]
[0.88477713310316852,1.5,52,12.031014008941879,10.531014008941879,40,32.913709351437873,37.200000000000003,154.30066826700539,4.7701028045562133,3.8160822436449706,"C#  17",65.827418702875747,52.661934962300599,null,null,null,null,null,null,null,null,107.32731310251481,5,134.15914137814349,4,null,"C    16         12.1      37.5"]
[0.88466450832352417,1.5,52,11.997084947839046,10.497084947839046,40,32.732586807970392,37,153.86551984161514,4.7438531605754193,3.7950825284603353,"D    18",65.465173615940785,52.372138892752631,null,null,null,null,null,null,null,null,106.73669611294693,5,133.42087014118366,4,null,"C#  17         12      37.2"]
[0.88449326955774432,1.5,52,11.9461913561848,10.4461913561848,40,32.460902992769221,36.700000000000003,153.21279720352982,4.7044786946042345,3.7635829556833875,"D#  19",64.921805985538441,51.937444788430753,null,null,null,null,null,null,null,null,105.85077062859528,5,132.31346328574409,4,null,"D    18         12      37"]
[0.88431920817494569,1.5,52,11.895297764530552,10.395297764530552,40,32.18921917756802,36.4,152.56007456544444,4.6651042286330462,3.732083382906437,"E     20",64.378438355136041,51.502750684108833,null,null,null,null,null,null,null,null,104.96484514424354,5,131.20605643030441,4,null,"D#  19         11.9      36.7"]
[0.88414225380517542,1.5,52,11.844404172876306,10.344404172876306,40,31.917535362366834,36.1,151.90735192735909,4.6257297626618596,3.7005838101294883,"F     21",63.835070724733669,51.068056579786941,null,null,null,null,null,null,null,null,104.07891965989185,5,130.09864957486482,4,null,"E     20         11.9      36.4"]
[0.88396233371971056,1.5,52,11.793510581222057,10.293510581222057,40,31.645851547165634,35.799999999999997,151.25462928927371,4.5863552966906713,3.6690842373525374,"F#   22",63.291703094331268,50.63336247546502,null,null,null,null,null,null,null,null,103.19299417554011,5,128.99124271942514,4,null,"F     21         11.8      36.1"]
[0.88377937273139251,1.5,52,11.742616989567809,10.242616989567809,40,31.374167731964434,35.5,150.60190665118833,4.546980830719483,3.6375846645755869,"G    23",62.748335463928868,50.1986683711431,null,null,null,null,null,null,null,null,102.30706869118836,5,127.88383586398547,4,null,"F#   22         11.8      35.8"]
[0.88359329308986534,1.5,52,11.691723397913563,10.191723397913563,40,31.102483916763262,35.200000000000003,149.94918401310298,4.5076063647482982,3.6060850917986391,"G#  24",62.204967833526524,49.763974266821222,null,null,null,null,null,null,null,null,101.42114320683673,5,126.7764290085459,4,null,"G    23         11.7      35.5"]
[0.8841553864225099,1.5,51,11.458415499254842,9.9584154992548424,39,30.857022986145594,34.9,146.95695371162921,4.4720323168326948,3.5776258534661558,"A     25",61.714045972291188,49.371236777832955,null,null,null,null,null,null,null,null,125.77590891091954,4,125.77590891091955,4,null,"G#  24         11.7      35.2"]
[0.88396934020070539,1.5,51,11.407521907600596,9.9075219076005965,39,30.585339170944408,34.6,146.30423107354386,4.4326578508615082,3.5461262806892067,"A#   26",61.170678341888816,48.936542673511056,null,null,null,null,null,null,null,null,124.66850205547992,4,124.66850205547992,4,null,"A     25         11.5      34.9"]
[0.88378003952604112,1.5,51,11.356628315946349,9.8566283159463488,39,30.313655355743208,34.299999999999997,145.65150843545851,4.3932833848903199,3.5146267079122562,"B     27",60.627310711486416,48.501848569189136,null,null,null,null,null,null,null,null,123.56109520004024,4,123.56109520004024,4,null,"A#   26         11.4      34.6"]
[0.88358739825123633,1.5,51,11.305734724292103,9.8057347242921029,39,30.041971540542036,34,144.99878579737319,4.3539089189191351,3.4831271351353084,"C     28",60.083943081084072,48.067154464867258,null,null,null,null,null,null,null,null,122.45368834460068,4,163.27158445946756,3,null,"B     27         11.4      34.3"]
[0.88339132716144908,1.5,51,11.254841132637855,9.7548411326378552,39,29.770287725340836,33.700000000000003,144.34606315928781,4.3145344529479468,3.4516275623583574,"C#   29",59.540575450681672,47.632460360545338,null,null,null,null,null,null,null,null,121.346281489161,4,161.79504198554798,3,null,"C     28         11.3      34"]
[0.88312440355573285,1.5,51,11.18698301043219,9.6869830104321899,39,29.408042638405902,33.299999999999997,143.47576630850727,4.2620351649863624,3.40962813198909,"D      30",58.816085276811805,47.052868221449444,null,null,null,null,null,null,null,null,119.86973901524145,4,159.82631868698857,3,null,"C#   29         11.3      33.7"]
[0.88291996433953646,1.5,51,11.136089418777942,9.6360894187779422,39,29.136358823204702,33,142.82304367042195,4.222660699015174,3.3781285592121391,"D#    31",58.272717646409404,46.618174117127523,null,null,null,null,null,null,null,null,118.76233215980177,4,158.34977621306902,3,null,"D      30         11.2      33.3"]
[0.88271177394506162,1.5,51,11.085195827123696,9.5851958271236963,39,28.864675008003516,32.700000000000003,142.1703210323366,4.1832862330439875,3.3466289864351904,"E      32",57.729350016007032,46.183480012805632,null,null,null,null,null,null,null,null,117.65492530436215,4,156.87323373914955,3,null,"D#    31         11.1      33"]
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[0.88228371892838453,1.5,51,10.983408643815203,9.4834086438152028,39,28.321307377601144,32.1,140.8648757561659,4.1045373011016153,3.2836298408812921,"F#    34",56.642614755202288,45.314091804161833,null,null,null,null,null,null,null,null,115.44011159348291,4,153.92014879131057,3,null,"F      33         11      32.4"]
[0.88198934670871332,1.5,51,10.915550521609537,9.4155505216095374,39,27.959062290666211,31.7,139.9945789053854,4.05203801314003,3.2416304105120246,"G     35",55.918124581332421,44.73449966506594,null,null,null,null,null,null,null,null,113.96356911956335,4,151.95142549275113,3,null,"F#    34         11      32.1"]
[0.88176364571544619,1.5,51,10.86465692995529,9.3646569299552898,39,27.68737847546501,31.4,139.34185626730002,4.0126635471688417,3.2101308377350737,"G#   36",55.374756950930021,44.299805560744019,null,null,null,null,null,null,null,null,112.85616226412368,4,150.47488301883158,3,null,"G     35         10.9      31.7"]
[0.88230181526173024,1.5,50,10.614384500745157,9.1143845007451567,38,27.351356273113637,31,136.13205175313118,3.9639646772628456,3.1711717418102769,"A      37",54.702712546227275,43.762170036981821,null,null,null,null,null,null,null,null,111.48650654801754,4,148.6486753973567,3,null,"G#   36         10.9      31.4"]
[0.88207402143037306,1.5,50,10.563490909090909,9.063490909090909,38,27.079672457912451,30.7,135.4793291150458,3.9245902112916595,3.1396721690333274,"A#    38",54.159344915824903,43.327475932659922,null,null,null,null,null,null,null,null,110.37909969257792,4,147.17213292343723,3,null,"A      37         10.6      31"]
[0.88184173166813284,1.5,50,10.51259731743666,9.0125973174366596,38,26.807988642711237,30.4,134.82660647696042,3.885215745320469,3.1081725962563751,"B     39",53.615977285422474,42.892781828337981,null,null,null,null,null,null,null,null,109.27169283713818,4,145.6955904495176,3,null,"A#    38         10.6      30.7"]
[{"$f":"G78/H78","v":0.8815247851925444},1.5,50,10.444739195231,8.9447391952309996,38,26.445743555776332,30,133.95630962618,3.8327164573588886,3.0661731658871112,"C     40",52.891487111552664,42.313189689242137,null,null,null,null,null,null,null,null,107.79515036321874,4,143.72686715095833,3,null,"B     39         10.5      30.4"]
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[{"$f":"SUM(A39:A126)","v":77.30905103599477},null,null,{"$f":"AVERAGE(D39:D126)","v":9.7723206747053286},{"$f":"AVERAGE(E39:E126)","v":8.2723206747053286},null,null,null,{"$f":"AVERAGE(I39:I126)","v":125.33237925795761},{"$f":"AVERAGE(J39:J127)","v":3.3388418902663335},{"$f":"AVERAGE(K39:K126)","v":2.6710735122130682},null,"kgs","kgs"]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M127*2.2","v":8.9203171013867628},{"$f":"N127*2.2","v":7.1362536811094097}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,95,null,null,null,null,null,210]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,{"$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},{"$f":"P168","v":4.7248677248677238}]
[null,"Sk.RadWt","DW","SW","Hammer","BW ","FW ","FW Max","Inertia","# of Lds","# of Lds","Note"]
["A#   2",1.6,{"$f":"F160+$F$37","v":53},{"$f":"E160+B160","v":12.975045007451566},{"$f":"E40","v":11.375045007451567},{"$f":"F40","v":41},{"$f":"((D160*$P$168) +($F$35*$P$165)-F160) +$I$158","v":27.995847574890192},41.1,{"$f":"(((D160/1000*$C$4^2 + $B$4)*$I$4^2))*10000","v":181.24455336997059},{"$f":"(M160 - $I$157*2) / $I$36","v":4.0573692137522013},{"$f":"(N160 - $I$157*2) / $I$36","v":3.2458953710017613},"A#   2",{"$f":"G160*($P$161/$P$162)","v":55.991695149780384},{"$f":"G160*($B$7/$D$7)","v":44.79335611982431},null,{"$f":"F149","v":95}]
["C#   5",1.6,{"$f":"F161+$F$37","v":53},{"$f":"E161+B161","v":12.839328763040237},{"$f":"E43","v":11.239328763040238},{"$f":"F43","v":41},{"$f":"((D161*$P$168) +($F$35*$P$165)-F161) +$I$158","v":27.354606271930834},40.299999999999997,{"$f":"(((D161/1000*$C$4^2 + $B$4)*$I$4^2))*10000","v":179.50395966840964},{"$f":"(M161 - $I$157*2) / $I$36","v":3.9644356915841787},{"$f":"(N161 - $I$157*2) / $I$36","v":3.1715485532673431},"C#   5",{"$f":"G161*($P$161/$P$162)","v":54.709212543861668},{"$f":"G161*($B$7/$D$7)","v":43.767370035089336},null,{"$f":"L149","v":210}]
["D#   7",1.6,53,12.754506110283158,{"$f":"E45","v":11.154506110283158},{"$f":"F45","v":41},26.953830457581262,39.799999999999997,178.41608860493403,3.9063522402291682,3.1250817921833347,"D#   7",53.907660915162523,43.12612873213002,null,{"$f":"P161/2","v":105}]
["F#   10",1.6,53,12.618789865871834,{"$f":"E48","v":11.018789865871835},{"$f":"F48","v":41},26.312589154621932,39,176.67549490337311,3.8134187180611492,3.0507349744489196,"F#   10",52.625178309243864,42.100142647395096]
["G#  12",1.6,53,12.533967213114755,{"$f":"E50","v":10.933967213114755},{"$f":"F50","v":41},25.911813340272346,38.5,175.58762383989747,3.7553352667061368,3.0042682133649099,"G#  12",51.823626680544692,41.458901344435759,null,{"$f":"P161/P160","v":2.2105263157894739}]
["A#   14",1.6,52,12.266730253353204,{"$f":"E52","v":10.666730253353204},{"$f":"F52","v":40},25.649154054203223,38,172.16024511303351,3.7172687035077132,2.9738149628061707,"A#   14",51.298308108406445,41.038646486725156,null,{"$f":"1/P164","v":0.45238095238095233},"Kro"]
["C#  17",1.6,52,12.131014008941879,{"$f":"E55","v":10.531014008941879},{"$f":"F55","v":40},25.007912751243879,37.200000000000003,170.41965141147256,3.6243351813396925,2.8994681450717543,"C#  17",50.015825502487758,40.01266040199021,null,{"$f":"'Simple AR Calculator'!C25","v":1.46875}]
["D#  19",1.6,52,12.046191356184799,{"$f":"E57","v":10.4461913561848},{"$f":"F57","v":40},24.607136936894307,36.700000000000003,169.33178034799695,3.5662517299846819,2.8530013839877459,"D#  19",49.214273873788613,39.371419099030895,null,{"$f":"'Simple AR Calculator'!C26","v":7.1111111111111107}]
["F#   22",1.6,52,11.893510581222056,{"$f":"E60","v":10.293510581222057},{"$f":"F60","v":40},23.885740471065048,35.799999999999997,167.37361243374087,3.3864471367294491,2.7693612140365276,"F#   22",{"$f":"G168*($B$7/$C$7)","v":46.7329704868664},38.217184753704082,null,{"$f":"P165*P166*P167","v":4.7248677248677238},"Aro"]
["G#  24",1.6,52,11.791723397913563,{"$f":"E62","v":10.191723397913563},{"$f":"F62","v":40},23.404809493845548,35.200000000000003,166.06816715757017,3.3182622155735655,2.7136011007357155,"G#  24",45.792018574915204,37.447695190152878]
["A#   26",1.6,51,11.507521907600596,{"$f":"E64","v":9.9075219076005965},{"$f":"F64","v":39},23.06199504490651,34.6,162.42321421801105,3.2696590328317354,2.6738544979601748,"A#   26",45.121294653077953,36.899192071850415]
["C#   29",1.6,51,11.354841132637855,{"$f":"E67","v":9.7548411326378552},{"$f":"F67","v":39},22.340598579077259,33.700000000000003,160.46504630375497,3.1673816510979096,2.5902143280089573,"C#   29",43.709866785151156,35.744957726523616]
["D#    31",1.6,51,11.236089418777942,{"$f":"E69","v":9.6360894187779422},{"$f":"F69","v":39},21.77951243898783,33,158.94202681488909,3.0878325764160439,2.5251608624913429,"D#    31",42.612089554541406,34.84721990238053]
["F#    34",1.6,51,11.083408643815202,{"$f":"E72","v":9.4834086438152028},{"$f":"F72","v":39},21.058115973158586,32.1,156.98385890063307,2.985555194682219,2.4415206925401258,"F#    34",41.200661686614623,33.692985557053738]
["G#   36",1.6,51,10.964656929955289,{"$f":"E74","v":9.3646569299552898},{"$f":"F74","v":39},20.497029833069156,31.4,155.46083941176721,2.9060061200003529,2.3764672270225109,"G#   36",40.102884456004873,32.795247732910653]
["A#    38",1.6,50,10.663490909090909,{"$f":"E76","v":9.063490909090909},{"$f":"F76","v":38},20.074060221260204,30.7,151.59831225951297,2.8460387837325429,2.3274272720301687,"A#    38",39.275335215509095,32.11849635401633]
["C#   41",1.6,50,10.476881073025336,{"$f":"E79","v":8.876881073025336},{"$f":"F79","v":38},19.192353429691124,29.6,149.20499591986669,2.7210330949467569,2.2252003976453478,"C#   41",37.550256710265245,30.707765487505799]
["D#   43",1.6,50,10.358129359165424,{"$f":"E81","v":8.7581293591654248},{"$f":"F81","v":38},18.631267289601702,28.9,147.68197643100081,2.6414840202648913,2.1601469321277333,"D#   43",36.452479479655501,29.810027663362725]
["F#   46",1.6,50,10.154554992548434,{"$f":"E84","v":8.5545549925484341},{"$f":"F84","v":38},17.669405335162693,27.7,145.07108587865937,2.5051141779531227,2.0486267055261091,"F#   46",34.570575655753096,28.271048536260309]
["G#   48",1.6,50,10.018838748137108,{"$f":"E86","v":8.4188387481371088},{"$f":"F86","v":38},17.028164032203364,26.9,143.33049217709845,2.4142009497452781,1.9742798877916945,"G#   48",33.31597310648484,27.245062451525385]
["A#    50 ",1.6,49,9.6837436661698959,{"$f":"E88","v":8.0837436661698963},{"$f":"F88","v":37},16.444884094654576,26,139.03281659945398,2.3315053064255067,1.906653228365748,"A#    50 ",32.174773228671995,26.311814551447323]
["C#    53",1.6,49,9.4632047690014911,{"$f":"E91","v":7.8632047690014915},{"$f":"F91","v":37},15.40286697734566,24.7,136.20435183441742,2.1837713105877588,1.785839649547323,"C#    53",30.136044086111074,24.644587163753059]
["D#    55",1.6,49,9.3105239940387481,{"$f":"E93","v":7.7105239940387484},{"$f":"F93","v":37},14.681470511516402,23.8,134.24618392016134,2.081493928853932,1.7021994795961046,"D#    55",28.724616218184266,23.490352818426246]
["F#    58",1.6,49,9.0560560357675115,{"$f":"E96","v":7.4560560357675119},{"$f":"F96","v":37},13.47914306846765,22.3,130.98257072973456,1.9110316259642224,1.5627991963440755,"F#    58",26.37223643830627,21.566628909548243]
["G#    60",1.6,49,8.8864107302533526,{"$f":"E98","v":7.286410730253353},{"$f":"F98","v":37},12.677591439768477,21.3,128.80682860278333,1.7973900907044154,1.4698656741760554,"G#    60",24.803983251720933,20.284146303629566]
["A#     62",1.6,48,8.5173865871833083,{"$f":"E100","v":6.9173865871833087},{"$f":"F100","v":36},11.934001176479853,20.2,124.07400459974865,1.6919661403326822,1.3836523103165046,"A#     62",23.349132736591017,19.094401882367766]
["C#     65",1.6,48,8.2459540983606558,{"$f":"E103","v":6.6459540983606562},{"$f":"F103","v":36},10.651518570561187,18.600000000000001,120.59281719662673,1.5101396839169925,1.2349586748476737,"C#     65",20.839927638054498,17.042429712897899]
["D#     67",1.6,48,8.0423797317436669,{"$f":"E105","v":6.4423797317436664},{"$f":"F105","v":36},9.6896566161221855,17.399999999999999,117.98192664428527,1.3737698416052249,1.1234384482460504,"D#     67",18.958023814152103,15.503450585795498]
["F#     70",1.6,48,{"$f":"E188+B188","v":7.7200536512667668},{"$f":"E108","v":6.1200536512667663},{"$f":"F108","v":36},8.1667085215937618,15.5,113.84801660307801,1.1578509246115918,0.94686475612681287,"F#     70",15.978342759639968,13.066733634550019]
["G#    72",1.6,48,7.5164792846497761,{"$f":"E110","v":5.9164792846497765},{"$f":"F110","v":36},7.2048465671547532,14.3,111.23712605073656,1.0214810822998233,0.83534452952518878,"G#    72",14.096438935737561,11.527754507447606]
["A#     74",1.6,47,7.1135260804769018,{"$f":"E112","v":5.5135260804769013},{"$f":"F112","v":35},6.3009459781263075,13,106.06915362231163,0.89332882487613052,0.73054446123203565,"A#     74",12.327937783290603,10.081513565002092]
["C#     77",1.6,47,6.7742354694485858,{"$f":"E115","v":5.1742354694485853},{"$f":"F115","v":35},4.6978427207279694,11,101.71766936840925,0.66604575435651736,0.54467741689599647,"C#     77",9.1914314101199395,7.516548353164751]
["D#     79",1.6,47,6.5367320417287633,{"$f":"E117","v":4.9367320417287628},{"$f":"F117","v":35},3.5756704405491178,9.6,98.671630390677564,0.50694760499278602,0.41457048586076728,"D#     79",6.995876948900448,5.7210727048785888]
["F#     82",1.6,47,6.1974414307004473,{"$f":"E120","v":4.5974414307004468},{"$f":"F120","v":35},1.9725671831507867,7.6,94.320146136775136,0.27966453447317391,0.22870344152472891,"F#     82",3.8593705757298,3.1561074930412589]
["G#    84",1.6,47,5.9769025335320425,{"$f":"E122","v":4.376902533532042},{"$f":"F122","v":35},0.93055006584186373,6.3,91.491681371738579,0.13193053863542492,0.10788986270630303,"G#    84",1.8206414331688638,1.488880105346982]
["A#     86",1.6,46,5.7563636363636359,{"$f":"E124","v":4.1563636363636363},{"$f":"F124","v":34},0.88853294853294074,5,88.663216606702008,0.12597348041582335,0.10301831287338442,"A#     86",1.7384340297383623,1.4216527176527052]
[]
[null,null,null,{"$f":"AVERAGE(D160:D195)","v":9.9018503725782416},{"$f":"AVERAGE(E160:E195)","v":8.3018503725782384},null,null,null,{"$f":"AVERAGE(I160:I195)","v":141.83008792897866},{"$f":"AVERAGE(J160:J195)","v":2.369946454783078},{"$f":"AVERAGE(K160:K195)","v":1.9230748456175855},null,{"$f":"SUM(M160:M195)/1000","v":1.1773893987362325},{"$f":"SUM(N160:N195)/1000","v":0.9553835833028167}]
[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,{"$f":"M197*2.2","v":2.5902566772197115},{"$f":"N197*2.2","v":2.1018438832661968}]
[null,null,null,null,null,null,null,null,null,null,null,null,"lb","lb"]

{"sheet":"FW Adjust","index":22,"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,{"$f":"AY17-4","v":10},6,2,-2,-6,-10,-14,-18,-22,-26,-30,-34,-38,-42]
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[81,25,50,12.5,37.5,{"$f":"'Balance Weight'!F119","v":35},2.5,14.9,8.3000000000000007,{"$f":"$G$99*J18","v":3.202247191011236},{"$f":"$G$99*K18","v":3.2386363636363642},3.3928571428571432,3.475609756097561,3.5625,3.6538461538461537,3.75,3.8513513513513513,3.9583333333333339,4.0714285714285712,4.1911764705882355,4.3181818181818183,4.453125,4.596774193548387,4.75,4.9137931034482758,5.0892857142857153,5.2777777777777777,5.4807692307692317,5.7000000000000011,5.9375,6.1956521739130448,6.4772727272727284,6.7857142857142865,7.125,7.5,7.9166666666666679,8.382352941176471,8.90625,9.5,10.178571428571431,10.961538461538463,11.875,12.954545454545457,14.25,15.833333333333336,17.8125,20.357142857142861,23.75,28.5,35.625,47.5,71.25,142.5,{"$error":"#DIV/0!"},-142.5,-71.25,-47.5,-35.625,-28.5,-23.75,-20.357142857142861,-17.8125,-15.833333333333336,-14.25,-12.954545454545457]
[82,29,58,14.5,43.5,{"$f":"'Balance Weight'!F120","v":35},8.5,11.79,7.6,{"$f":"$G$100*J18","v":10.887640449438202},{"$f":"$G$100*K18","v":11.011363636363638},11.535714285714286,11.817073170731707,12.112500000000001,12.423076923076922,12.75,13.094594594594595,13.458333333333334,13.842857142857143,14.25,14.681818181818182,15.140625,15.629032258064516,16.150000000000002,16.706896551724139,17.303571428571431,17.944444444444446,18.634615384615387,19.380000000000003,20.1875,21.065217391304351,22.022727272727277,23.071428571428573,24.225000000000001,25.5,26.916666666666668,28.5,30.28125,32.300000000000004,34.607142857142861,37.269230769230774,40.375,44.045454545454554,48.45,53.833333333333336,60.5625,69.214285714285722,80.75,96.9,121.125,161.5,242.25,484.5,{"$error":"#DIV/0!"},-484.5,-242.25,-161.5,-121.125,-96.9,-80.75,-69.214285714285722,-60.5625,-53.833333333333336,-48.45,-44.045454545454554]
[83,24,54,15,39,{"$f":"'Balance Weight'!F121","v":35},4,12.41,7,{"$f":"$G$101*J18","v":5.1235955056179776},{"$f":"$G$101*K18","v":5.1818181818181825},5.4285714285714288,5.5609756097560972,5.7,5.8461538461538458,6,6.1621621621621623,6.3333333333333339,6.5142857142857142,6.7058823529411766,6.9090909090909092,7.125,7.354838709677419,7.6000000000000005,7.8620689655172411,8.1428571428571441,8.4444444444444446,8.7692307692307701,9.120000000000001,9.5,9.913043478260871,10.363636363636365,10.857142857142858,11.4,12,12.666666666666668,13.411764705882353,14.25,15.200000000000001,16.285714285714288,17.53846153846154,19,20.72727272727273,22.8,25.333333333333336,28.5,32.571428571428577,38,45.6,57,76,114,228,{"$error":"#DIV/0!"},-228,-114,-76,-57,-45.6,-38,-32.571428571428577,-28.5,-25.333333333333336,-22.8,-20.72727272727273]
[84,27,52,12.5,39.5,{"$f":"'Balance Weight'!F122","v":35},4.5,11.15,6.3,{"$f":"$G$102*J18","v":5.7640449438202248},{"$f":"$G$102*K18","v":5.829545454545455},6.1071428571428577,6.2560975609756095,6.4125000000000005,6.5769230769230766,6.75,6.9324324324324325,7.1250000000000009,7.3285714285714283,7.5441176470588234,7.7727272727272725,8.015625,8.2741935483870961,8.5500000000000007,8.8448275862068968,9.1607142857142865,9.5,9.8653846153846168,10.260000000000002,10.6875,11.15217391304348,11.65909090909091,12.214285714285715,12.825000000000001,13.5,14.250000000000002,15.088235294117647,16.03125,17.100000000000001,18.321428571428573,19.730769230769234,21.375,23.31818181818182,25.650000000000002,28.500000000000004,32.0625,36.642857142857146,42.75,51.300000000000004,64.125,85.5,128.25,256.5,{"$error":"#DIV/0!"},-256.5,-128.25,-85.5,-64.125,-51.300000000000004,-42.75,-36.642857142857146,-32.0625,-28.500000000000004,-25.650000000000002,-23.31818181818182]
[85,29,53,12,41,{"$f":"'Balance Weight'!F123","v":34},7,8.85,5.6,{"$f":"$G$103*J18","v":8.9662921348314608},{"$f":"$G$103*K18","v":9.0681818181818201},9.5,9.7317073170731696,9.9749999999999996,10.23076923076923,10.5,10.783783783783784,11.083333333333334,11.4,11.73529411764706,12.090909090909092,12.46875,12.870967741935484,13.3,13.758620689655173,14.250000000000002,14.777777777777779,15.346153846153847,15.96,16.625,17.347826086956523,18.13636363636364,19,19.95,21,22.166666666666668,23.47058823529412,24.9375,26.6,28.500000000000004,30.692307692307693,33.25,36.27272727272728,39.9,44.333333333333336,49.875,57.000000000000007,66.5,79.8,99.75,133,199.5,399,{"$error":"#DIV/0!"},-399,-199.5,-133,-99.75,-79.8,-66.5,-57.000000000000007,-49.875,-44.333333333333336,-39.9,-36.27272727272728]
[86,25,48,11.5,36.5,{"$f":"'Balance Weight'!F124","v":34},2.5,11.22,5,{"$f":"$G$104*J18","v":3.202247191011236},{"$f":"$G$104*K18","v":3.2386363636363642},3.3928571428571432,3.475609756097561,3.5625,3.6538461538461537,3.75,3.8513513513513513,3.9583333333333339,4.0714285714285712,4.1911764705882355,4.3181818181818183,4.453125,4.596774193548387,4.75,4.9137931034482758,5.0892857142857153,5.2777777777777777,5.4807692307692317,5.7000000000000011,5.9375,6.1956521739130448,6.4772727272727284,6.7857142857142865,7.125,7.5,7.9166666666666679,8.382352941176471,8.90625,9.5,10.178571428571431,10.961538461538463,11.875,12.954545454545457,14.25,15.833333333333336,17.8125,20.357142857142861,23.75,28.5,35.625,47.5,71.25,142.5,{"$error":"#DIV/0!"},-142.5,-71.25,-47.5,-35.625,-28.5,-23.75,-20.357142857142861,-17.8125,-15.833333333333336,-14.25,-12.954545454545457]
[87,23,58,17.5,40.5,{"$f":"'Balance Weight'!F125","v":34},6.5,7.46,4.3,{"$f":"$G$105*J18","v":8.3258426966292127},{"$f":"$G$105*K18","v":8.4204545454545467},8.8214285714285712,9.0365853658536572,9.2625000000000011,9.5,9.75,10.013513513513514,10.291666666666668,10.585714285714285,10.897058823529411,11.227272727272727,11.578125,11.951612903225806,12.350000000000001,12.775862068965516,13.232142857142859,13.722222222222223,14.250000000000002,14.820000000000002,15.4375,16.108695652173914,16.840909090909093,17.642857142857142,18.525000000000002,19.5,20.583333333333336,21.794117647058822,23.15625,24.700000000000003,26.464285714285719,28.500000000000004,30.875,33.681818181818187,37.050000000000004,41.166666666666671,46.3125,52.928571428571438,61.75,74.100000000000009,92.625,123.5,185.25,370.5,{"$error":"#DIV/0!"},-370.5,-185.25,-123.5,-92.625,-74.100000000000009,-61.75,-52.928571428571438,-46.3125,-41.166666666666671,-37.050000000000004,-33.681818181818187]
[88,24,46,11,35,{"$f":"'Balance Weight'!F126","v":34},1,11.8,3.7,{"$f":"$G$106*J18","v":1.2808988764044944},{"$f":"$G$106*K18","v":1.2954545454545456},1.3571428571428572,1.3902439024390243,1.425,1.4615384615384615,1.5,1.5405405405405406,1.5833333333333335,1.6285714285714286,1.6764705882352942,1.7272727272727273,1.78125,1.8387096774193548,1.9000000000000001,1.9655172413793103,2.035714285714286,2.1111111111111112,2.1923076923076925,2.2800000000000002,2.375,2.4782608695652177,2.5909090909090913,2.7142857142857144,2.85,3,3.166666666666667,3.3529411764705883,3.5625,3.8000000000000003,4.0714285714285721,4.384615384615385,4.75,5.1818181818181825,5.7,6.3333333333333339,7.125,8.1428571428571441,9.5,11.4,14.25,19,28.5,57,{"$error":"#DIV/0!"},-57,-28.5,-19,-14.25,-11.4,-9.5,-8.1428571428571441,-7.125,-6.3333333333333339,-5.7,-5.1818181818181825]
[]
[]
[" ",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":23,"n_rows":376,"n_cols":11,"rows_kept":376,"cut":false,"hidden":false,"merged":[[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],[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]]}
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[null,null,null,null,null,null,null,"Shank Output Arm (e.g. 130 mm)"]
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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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[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":24,"n_rows":317,"n_cols":21,"rows_kept":317,"cut":false,"hidden":false,"merged":[[315,2,315,5],[316,2,316,5],[301,2,301,5],[302,2,302,5],[303,2,303,5],[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],[267,8,267,12],[268,7,274,12],[275,2,275,5],[276,2,276,5],[277,2,277,5],[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],[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],[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],[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],[3,11,3,14],[4,11,4,14],[5,11,5,14],[8,11,8,14],[171,2,171,5],[172,2,172,5],[28,1,28,9],[31,5,31,9],[26,1,26,2],[164,7,170,12]]}
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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,{"$f":"'Simple AR Calculator'!H14","v":186.30955505371094}]
[null,"INPUTS","Calculating an Estimate of Key Inertia",null,null,null,null,null,null,null,null,"Total Sys Inertia of Hammer and Key ",null,null,null,{"$f":"P6+P11","v":225.95643917819226}]
[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"]
[]
[null,null,null,null,null,null,{"$f":"J19","v":482},"mm",{"$f":"G34/1000","v":0.48199999999999998}]
[]
[]
[]
[]
[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,{"$f":"L39/2","v":123}]
[]
[]
[]
[1881146979]
[]
[]
[]
[null,null,null,null,{"$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"]
[]
[]
[null,null,null,null,null,null,null,null,{"$f":"J22","v":146.19999999999999},"grams",{"$f":"I52/1000","v":0.1462}]
[]
[]
[]
[null,null,null,null,"INERTIA ITEMS OF LEAD, POSITIONS, CAPSTAN AND BACKCHECK"]
[]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"D27","v":170}]
[]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"E27","v":138}]
[]
[null,null,null,null,{"$f":"J21","v":228},null,null,null,null,null,{"$f":"F27","v":108}]
[]
[null,null,null,null,null,null,{"$f":"J20","v":124},null,null,{"$f":"G27","v":78}]
[]
[]
[]
[]
[]
[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"]
[]
[]
[]
[]
[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}]
[]
[]
[]
[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":25,"n_rows":222,"n_cols":18,"rows_kept":222,"cut":false,"hidden":false,"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":26,"n_rows":49,"n_cols":12,"rows_kept":49,"cut":false,"hidden":false,"merged":[[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],[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]]}
[]
[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,{"$f":"F26","v":44}]
[null,null,null,190]
[null,null,null,"mm",null,null,null,null,null,null,"Keybed to hammer flange center pin"]
[]
[null,null,null,null,null,null,null,null,"Enter"]
[null,null,null,null,null,null,null,null,146]
[null,null,null,null,null,null,null,null,"mm "]
[]
[]
[]
[]
[null,null,null,"HAMMER BORE Relation of  BLOW DISTANCE"]
[null,null,null,null,null,"mm","inches",null,"Convenience Conversions"]
[null,null,null,"Keybed to String",null,{"$f":"D12","v":190},{"$f":"F24/25.4","v":7.4803149606299213},"Inches to mm --- enter inches -->",null,null,7.5,{"$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},{"$f":"F26/25.4","v":1.7322834645669292}]
[]
[]
[]
[null,null,null,"Relationship of Shank Length and Hammer Bore to Angular Geometry"]
[]
[null,null,null,{"$f":"F35/H38","v":0.33846153846153848},null,null,null,{"$f":"SQRT(F35^2 + H38^2)","v":137.2443077143821}]
[null,null,null,{"$f":"DEGREES(ATAN(D32))","v":18.698982804181121}]
[null,null,null,null,null,null,null,{"$f":"H32","v":137.2443077143821}]
[null,null,null,null,null,{"$f":"F26","v":44}]
[]
[null,null,null,null,null,null,null,null,{"$f":"D33","v":18.698982804181121},"degrees per hammer bore"]
[null,null,null,null,null,null,null,130]
[]
[]
[null,null,null,"Relationship of Shank Length and Blow Distance to Shank / Hammer Rotations"]
[]
[null,null,null,{"$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":27,"n_rows":65,"n_cols":16,"rows_kept":65,"cut":false,"hidden":false,"merged":[[48,7,48,11],[64,4,64,12],[42,10,42,12],[37,10,37,12],[39,10,39,12],[42,3,42,5],[1,9,1,11],[2,2,2,3],[17,2,17,3],[46,2,46,15],[43,3,43,5],[19,5,19,12]]}
[]
[null,null,"Drawing and calculations by Nick Gravagne ",null,null,null,null,"2014-09-30",null,"Enter data in tan boxes only"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[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,{"$f":"180 - (N38+F34)","v":67.819655697982768},"°"]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,{"$f":"SQRT(D30^2+J35^2)","v":140.38874598770374},"mm"]
[]
[null,null,null,null,{"$f":"D30-N43","v":48.460299966072796}]
[]
[null,null,null,{"$f":"G41","v":53},"mm"]
[]
[null,null,null,null,null,{"$f":"G43","v":92}]
[null,null,null,null,null,{"$f":"180-F32","v":88},null,null,null,{"$f":"J35/(COS(RADIANS(N38-N40)))","v":130.07924075884682}]
[null,null,null,null,null,90]
[null,null,null,null,null,null,null,null,null,{"$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,{"$f":"(D30/J35)","v":0.40769230769230769}]
[null,null,null,null,null,"Shank L.",130,"mm",null,null,"Red Angle",null,null,{"$f":"DEGREES(ATAN(N37))","v":22.180344302017236},"°"]
[null,null,null,null,null,"String Ht.",199,"mm"]
[null,null,null,null,null,"Flg. Ht.",146,"mm",null,null,"Angle RE 91° Rake",null,null,{"$f":"N38-(F34-F33)","v":20.180344302017236},"°"]
[null,null,null,null,null,"Std. Bore",{"$f":"G39-G40","v":53}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"TAN(RADIANS(N38-N40))","v":3.492076949174773E-2}]
[null,null,null,"Enter Rake Angle Here --- >>",null,null,92,"°",null,null,"Decrease Bore By --- >",null,null,{"$f":"N42*J35","v":4.5397000339272049},"mm"]
[null,null,null,"Bore RE Rake Angle --- >>",null,null,{"$f":"E28","v":48.460299966072796},"mm"]
[]
[]
[null,null,"Below the trigonometry was double checked per oblique triangle model and Law of Cosines. Note that solving for bore dimension is same as above."]
[]
[null,null,null,null,null,null,null,"Method 2 per Law of Cosines"]
[]
[]
[null,null,null,null,null,{"$f":"180 - (F61+O60)","v":67.819655697982768},"°"]
[]
[]
[null,null,null,"Bore Dimension",null,null,null,null,null,null,{"$f":"J26","v":140.38874598770374}]
[null,null,null,null,{"$f":"H58","v":48.463130132030244},null,null,{"$f":"COS(RADIANS(N40))","v":0.93861142437483147}]
[null,null,null,null,null,null,null,{"$f":"(J35^2+J26^2)-(2*J35*J26*H56)","v":2348.6749821940975}]
[null,null,null,null,null,null,null,{"$f":"SQRT(H57)","v":48.463130132030244}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"N40","v":20.180344302017236},"°"]
[null,null,null,null,null,{"$f":"F32","v":92},"°",null,null,{"$f":"J33","v":130.07924075884682}]
[]
[]
[]
[null,null,null,null,"Exaggerated oblique triangle describes shank at rest and hammer rake angle"]

{"sheet":"Archives2","index":28,"n_rows":117,"n_cols":18,"rows_kept":117,"cut":false,"hidden":true,"merged":[[100,16,100,17],[106,2,116,2],[106,5,116,5],[106,8,116,8],[106,11,116,11],[106,14,116,14],[106,17,116,17],[100,1,100,2],[100,4,100,5],[100,7,100,8],[100,10,100,11],[60,10,60,11],[60,12,60,13],[60,6,60,7],[60,8,60,9],[100,13,100,14],[60,14,60,15],[79,10,79,11],[79,12,79,13],[79,14,79,15],[79,2,79,3],[79,4,79,5],[79,6,79,7],[79,8,79,9],[60,2,60,3],[60,4,60,5],[41,14,41,15],[3,12,3,13],[3,14,3,15],[22,14,22,15],[22,12,22,13],[41,12,41,13],[22,8,22,9],[41,10,41,11],[41,2,41,3],[3,8,3,9],[3,10,3,11],[3,2,3,3],[3,4,3,5],[3,6,3,7],[22,2,22,3],[22,4,22,5],[22,6,22,7],[22,10,22,11],[41,4,41,5],[41,6,41,7],[41,8,41,9]]}
[]
[]
[]
[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":29,"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]
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[null,86,4.665936961589134,4.5659369615891343,4.4659369615891347,4.365936961589135,4.2659369615891354,4.1659369615891357,{"$f":"H89-0.1","v":4.0659369615891361},3.965936961589136,3.8659369615891359,3.7659369615891358,3.6659369615891357,3.5659369615891356,3.4659369615891356,4.1855260545905697,{"$f":"P89-0.1","v":4.0855260545905701},3.98552605459057,3.8855260545905699,3.7855260545905698,3.6855260545905697,3.5855260545905696,3.4855260545905695,3.3855260545905694,3.2855260545905693,3.1855260545905693,3.0855260545905692,2.9855260545905691,2.885526054590569,2.7855260545905689,2.6855260545905688,2.5855260545905687,2.4855260545905686,2.3855260545905685,2.2855260545905685,2.1855260545905684,2.0855260545905683]
[null,87,4.5444283976892663,4.4444283976892667,4.344428397689267,4.2444283976892674,4.1444283976892677,4.0444283976892681,{"$f":"H90-0.1","v":3.944428397689268},3.8444283976892679,3.7444283976892678,3.6444283976892677,3.5444283976892677,3.4444283976892676,3.3444283976892675,4.095168734491315,{"$f":"P90-0.1","v":3.9951687344913149},3.8951687344913148,3.7951687344913148,3.6951687344913147,3.5951687344913146,3.4951687344913145,3.3951687344913144,3.2951687344913143,3.1951687344913142,3.0951687344913141,2.995168734491314,2.895168734491314,2.7951687344913139,2.6951687344913138,2.5951687344913137,2.4951687344913136,2.3951687344913135,2.2951687344913134,2.1951687344913133,2.0951687344913132,1.9951687344913132]
[null,88,4.4402782000608081,4.3402782000608084,4.2402782000608088,4.1402782000608092,4.0402782000608095,3.9402782000608094,{"$f":"H91-0.1","v":3.8402782000608093},3.7402782000608092,3.6402782000608092,3.5402782000608091,3.440278200060809,3.3402782000608089,3.2402782000608088,3.5379652605459051,{"$f":"P91-0.1","v":3.437965260545905},3.3379652605459049,3.2379652605459048,3.1379652605459047,3.0379652605459047,2.9379652605459046,2.8379652605459045,2.7379652605459044,2.6379652605459043,2.5379652605459042,2.4379652605459041,2.337965260545904,2.2379652605459039,2.1379652605459039,2.0379652605459038,1.9379652605459037,1.8379652605459036,1.7379652605459035,1.6379652605459034,1.5379652605459033,1.4379652605459032]
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[null,null,11,11.027441687344913,11.027441687344913,{"$f":"ROUND(E133,1)","v":11}]
[null,null,10.9,{"$f":"D133-0.1","v":10.927441687344913},10.927441687344913,{"$f":"ROUND(E134,1)","v":10.9}]
[null,null,10.8,10.827441687344914,10.827441687344914,{"$f":"ROUND(E135,1)","v":10.8}]
[null,null,10.7,10.727441687344914,10.727441687344914,10.7]
[null,null,10.6,10.627441687344914,10.627441687344914,10.6]
[null,null,10.5,10.527441687344915,10.527441687344915,10.5]
[null,null,10.4,10.427441687344915,10.427441687344915,10.4]
[null,null,10.3,10.327441687344916,10.327441687344916,10.3]
[null,null,10.199999999999999,10.227441687344916,10.227441687344916,10.199999999999999]
[null,null,10.1,10.127441687344916,10.127441687344916,10.1]
[null,null,10,10.027441687344917,10.027441687344917,10]
[null,null,9.9,9.9274416873449169,9.9274416873449169,9.9]
[null,null,9.8000000000000007,9.8274416873449173,9.8274416873449173,9.8000000000000007]
[null,null,9.6999999999999993,9.7274416873449123,9.7274416873449123,9.6999999999999993]
[null,null,9.6,{"$f":"D146-0.1","v":9.6274416873449127},9.6274416873449127,9.6]
[null,null,9.5,9.527441687344913,9.527441687344913,9.5]
[null,null,9.4,9.4274416873449134,9.4274416873449134,9.4]
[null,null,9.3000000000000007,9.3274416873449137,9.3274416873449137,9.3000000000000007]
[null,null,9.1999999999999993,9.2274416873449141,9.2274416873449141,9.1999999999999993]
[null,null,9.1,9.1274416873449145,9.1274416873449145,9.1]
[null,null,9,9.0274416873449148,9.0274416873449148,9]
[null,null,8.9,8.9274416873449152,8.9274416873449152,8.9]
[null,null,8.8000000000000007,8.8274416873449155,8.8274416873449155,8.8000000000000007]
[null,null,8.6999999999999993,8.7274416873449159,8.7274416873449159,8.6999999999999993]
[null,null,8.6,8.6274416873449162,8.6274416873449162,8.6]
[null,null,8.5,8.5274416873449166,8.5274416873449166,8.5]
[null,null,8.4,8.4274416873449169,8.4274416873449169,8.4]
[null,null,8.3000000000000007,8.3274416873449173,8.3274416873449173,8.3000000000000007]
[null,null,8.1999999999999993,8.2274416873449177,8.2274416873449177,8.1999999999999993]
[null,null,8.1,8.127441687344918,8.127441687344918,8.1]
[null,null,8,8.0274416873449184,8.0274416873449184,8]
[null,null,7.9,7.9274416873449187,7.9274416873449187,7.9]
[null,null,7.8,7.8274416873449191,7.8274416873449191,7.8]
[null,null,7.7,7.7274416873449194,7.7274416873449194,7.7]
[null,null,7.6,7.6274416873449198,7.6274416873449198,7.6]

{"sheet":"BenchSheets","index":31,"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":32,"n_rows":104,"n_cols":7,"rows_kept":104,"cut":false,"hidden":true,"merged":[]}
[]
[]
[]
[]
[null,{"$f":"Compare!B3","v":"Krakauer 5'10\""}]
[null,"Carry Ins",null,null,null,"Compliance","Resistance"]
[null,"DAR = ",{"$f":"'Simple AR Calculator'!H8","v":5.0146401277255741}]
[null,"MAR =",{"$f":"'Simple AR Calculator'!H7","v":5.3382716049382708},5.61,"SW ratio",null,{"$f":"C8* C16","v":72.066666666666663}]
[null,"Key Ro =",{"$f":"'Simple AR Calculator'!C23","v":1.956521739130435},null,"Friction",null,{"$f":"(C14 - C15) / 2","v":16}]
[null,"DW target =",50,null,"WRW Ro",null,{"$f":"C17/C9","v":9.5577777777777762}]
[null,null,null,null,"KIW ",null,{"$f":"C18","v":0}]
[null,"User Inputs",null,null,"Total Res. ",null,{"$f":"SUM(G8:G11)","v":97.624444444444435}]
[null,"FW=",0]
[null,"DW =",100,null,"DW target",56]
[null,"UW =",68,null,"FW trial",{"$f":"C13","v":0}]
[null,"SW = ",13.5,null,"Total Comp.",{"$f":"SUM(F14 + F15)","v":56}]
[null,"WRW = ",18.7,null,"Add req'd",{"$f":"G12-F16","v":41.624444444444435}]
[null,"KIW = ",0]
[null,"Leads trial =",88,null,"Leads req'd"]
[null,null,null,null,"key center"]
[null,null,null,null,"loaded",null,{"$f":"F17*2","v":83.248888888888871}]
[]
[null,null,null,null,"Actual trial",null,{"$f":"C19","v":88}]
[null,null,null,null,"Difference",null,{"$f":"G21-G23","v":-4.751111111111129}]
[null,"Back to Compare",null,null,"Effect @ DW",null,{"$f":"G24/2","v":-2.3755555555555645}]
[]
[]
[]
[null,"Snippet capture below Yamaha Adj. taken 9/13/2018"]
[]
[]
[]
[]
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[]
[]
[]
[]
[]
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[]
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[]
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[null,"Snippet capture below ADJUSTABLE taken 9/15/2018 Re 44 g DW target"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
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[]
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[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":33,"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":34,"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]
[]
[]
[]
[]
[]
[]
[]
[]
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[]
[]
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[]
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[]
[]
[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]
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[42,12.2,11.291560799999999,10.356194800000001,9.4661524999999997,8.4753612999999994,7.5866731999999999,6.6019166]
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[null,"s =( KWS / kw) / A"]
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[null,"s = (KWS) / (kwA)"]
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[]
[]
[]
[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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