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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.5731452363433465,4.4909856506199053E-2,-2.5282353798371475,0.99902660462312554,19.436822283339961,null,11.673184494967908,0.20373550362994144,-11.469448991337966,0.98003087142110767,1.0203760199410206,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC99","v":5.4472301467041762},5.4575387085740692,5.6714774798236398,5.0576595629661441,null,null,null,null,null,null,null,null,null,null,0.97719144223827281,1.7055208089369847E-2,-0.96013623414890292,-1.6756754269636683E-2,{"$f":"ABS(AV99)*'Simple AR Calculator'!$C$8","v":4.0216210247128039},5.4432656898300635,21.890751741318429,45,null,null,null,null,8.4538353957393113,0.1475472620772888,-8.3062881336620222,-0.14446479923722982,0.97719144223827281,8.6511557821010641,74.842496366180669,1.4512600022237994,5.8251694271083769,33.932598854518133,0,null,null,14.499391858783881,0.2530621274726394,-14.246329731311242,0.96924667587299973]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.5282353798371475,4.4126031643567681E-2,-2.4841093481935799,0.99906028074225228,19.418389723725618,null,11.469448991337966,0.20017964828839011,-11.269269343049576,0.98071961343245706,1.0196594279378821,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC100","v":5.4510583284042937},5.4627191797163528,5.6674945016581431,5.0541076582500502,null,null,null,null,null,null,null,null,null,null,0.96013623414890292,1.6757538553597573E-2,-0.94337869559530541,-1.6464320399447289E-2,{"$f":"ABS(AV100)*'Simple AR Calculator'!$C$8","v":3.9514368958673494},5.4472301467041762,21.524386181967795,null,null,null,null,null,8.3062881336620222,0.14497207655173713,-8.1613160571102856,-0.14196064177907239,0.96013623414890292,8.6511557821010641,74.842496366180669,1.4368910913106925,5.7807360515300115,33.416909297458787,0,null,null,14.246329731311242,0.24864536013614028,-13.997684371175101,0.97030550284097083]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.4841093481935799,4.3355887105548226E-2,-2.4407534610880317,0.99909279196018941,19.400578155933147,null,11.269269343049576,0.19668585433027347,-11.072583488719303,0.98138467502178761,1.0189684284379101,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC101","v":5.454754889037698},5.467734473189501,5.663653772332804,5.0506826069349078,null,null,null,null,null,null,null,null,null,null,0.94337869559530541,1.6465064331307407E-2,-0.92691363126399795,-1.6176989091274789E-2,{"$f":"ABS(AV101)*'Simple AR Calculator'!$C$8","v":3.8824773819059493},5.4510583284042937,21.163610667479723,null,null,null,null,null,8.1613160571102856,0.14244183649245606,-8.0188742206178301,-0.13949930483000167,0.94337869559530541,8.6511557821010641,74.842496366180669,1.4225221803975856,5.7372153275172488,32.915639714298855,0,null,null,13.997684371175101,0.24430567993195756,-13.753378691243144,0.97132805195690275]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.4407534610880317,4.2599184125433454E-2,-2.3981542769625981,0.9991241785604118,19.383367192473838,null,11.072583488719303,0.19325303858011225,-10.879330450139191,0.98202686530054928,1.0183020804567806,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC102","v":5.4583243258262746},5.4725894076954011,5.6599500616468941,5.0473797448789988,null,null,null,null,null,null,null,null,null,null,0.92691363126399795,1.6177694747173413E-2,-0.9107359365168245,-1.589467135919383E-2,{"$f":"ABS(AV102)*'Simple AR Calculator'!$C$8","v":3.814721126206519},5.454754889037698,20.808368713490403,null,null,null,null,null,8.0188742206178301,0.13995575745307529,-7.8789184631647551,-0.13708008648174325,0.92691363126399795,8.6511557821010641,74.842496366180669,1.4081532694844787,5.6946032753618638,32.428506463762069,0,null,null,13.753378691243144,0.24004174143582147,-13.513336949807323,0.97231555411702442]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.3981542769625981,4.1855688103781333E-2,-2.3562985888588166,0.99915447943416624,19.366737080651017,null,10.879330450139191,0.18988013676740567,-10.689450313371786,0.98264696608040325,1.0176594794657687,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC103","v":5.461770984253592},5.4772886904621032,5.6563783420280354,5.0441945886387032,null,null,null,null,null,null,null,null,null,null,0.9107359365168245,1.5895340708452645E-2,-0.89484059580837183,-1.5617279766745056E-2,{"$f":"ABS(AV103)*'Simple AR Calculator'!$C$8","v":3.7481471440188132},5.4583243258262746,20.458602732974164,null,null,null,null,null,7.8789184631647551,0.13751306867839655,-7.7414053944863586,-0.13470229474642761,0.9107359365168245,8.6511557821010658,74.842496366180711,1.3937843585713718,5.6528963140615538,31.955236737530701,0,null,null,13.513336949807323,0.23585222270554551,-13.277484727101777,0.97326919927778954]
[null,null,"ITF=((Leverage*86)-194)+(StrikeWt-10)*(44+((Leverage-5)*8))",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.3562985888588166,4.112516853568253E-2,-2.3151734203231342,0.99918373212853173,19.350668685005953,null,10.689450313371786,0.18656610319667732,-10.502884210175109,0.98324573277063443,1.0170397558524404,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC104","v":5.4650990630529268},5.4818369178734265,5.6529337799763812,5.0411228278386728,null,null,null,null,null,null,null,null,null,null,0.89484059580837183,1.5617914677363858E-2,-0.87922268113100799,-1.5344728400078668E-2,{"$f":"ABS(AV104)*'Simple AR Calculator'!$C$8","v":3.6827348160188804},5.461770984253592,20.114254160832413,50,null,null,null,null,7.7414053944863586,0.13511301286543745,-7.6062923816209214,-0.13236524750264103,0.89484059580837183,8.6511557821010658,74.842496366180711,1.379415447658265,5.6120912721605292,31.495568447060386,0,null,null,13.277484727101777,0.2317358248711868,-13.04574890223059,0.97419013776084529]
[null,null,"Example:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.3151734203231342,4.0407398939297297E-2,-2.274766021383837,0.99921197289282582,19.335143470107155,null,10.502884210175109,0.18330991042327979,-10.31957429975183,0.98382389524770164,1.0164420734548489,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC105","v":5.4683126190404092},5.4862385762485886,5.6496117279173541,5.0381603179063346,null,null,null,null,null,null,null,null,null,null,0.87922268113100799,1.534533064394831E-2,-0.86387735048705971,-1.5076932841557087E-2,{"$f":"ABS(AV105)*'Simple AR Calculator'!$C$8","v":3.6184638819737009},5.4650990630529268,19.775263571065331,null,null,null,null,null,7.6062923816209214,0.13275484592864611,-7.4735375356922749,-0.13006827243634361,0.87922268113100799,8.6511557821010658,74.842496366180711,1.3650465367451581,5.5721853994498272,31.04925012584183,0,null,null,13.04574890223059,0.22769127173235962,-12.818057630498231,0.97507948152036761]
[null,null,"    Leverage 5.4",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.274766021383837,3.9702156785639695E-2,-2.2350638645981973,0.99923923672341108,19.320143483687591,null,10.31957429975183,0.18011054893485767,-10.139463750816972,0.98438215869767809,1.0158656281651672,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC106","v":5.4714155717975048},5.4904980427586425,5.6464077164403212,5.035303073150569,null,null,null,null,null,null,null,null,null,null,0.86387735048705971,1.5077504099404232E-2,-0.84879984638765549,-1.4813810143809218E-2,{"$f":"ABS(AV106)*'Simple AR Calculator'!$C$8","v":3.5553144345142123},5.4683126190404092,19.441570786910585,null,null,null,null,null,7.4735375356922749,0.13043783676921342,-7.3430996989230612,-0.12781070697705263,0.86387735048705971,8.6511557821010641,74.842496366180669,1.3506776258320512,5.5331763795882747,30.616040847633606,0,null,null,12.818057630498231,0.22371730936257686,-12.594340321135654,0.97593830537356252]
[null,null,"    StrikeWt = 9.5 g",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.2350638645981973,3.9009223429587271E-2,-2.1960546411686099,0.99926555740695933,19.305651340129504,null,10.139463750816972,0.17696702683837004,-9.9624967239786031,0.9849212044323169,1.0153096465989624,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC107","v":5.4744117082068806},5.4946195864682634,5.6433174469021266,5.032547260165753,null,null,null,null,null,null,null,null,null,null,0.84879984638765549,1.4814352009886686E-2,-0.83398549437776881,-1.45552788042289E-2,{"$f":"ABS(AV107)*'Simple AR Calculator'!$C$8","v":3.4932669130149359},5.4714155717975048,19.113114984314919,null,null,null,null,null,7.3430996989230612,0.12816126704841174,-7.2149384318746499,-0.12559189822966479,0.84879984638765549,8.6511557821010641,74.842496366180669,1.3363087149189443,5.4950623437103507,30.195710161263491,0,null,null,12.594340321135654,0.21981270572049716,-12.374527615415158,0.97676764819513573]
[null,null,"    Result in ITF calculator: 247",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.1960546411686099,3.8328384042094855E-2,-2.157726257126515,0.99929096756222324,19.291650204300172,null,9.9624967239786031,0.17387836955257535,-9.7886183544260277,0.98544169067946807,1.0147733848265481,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC108","v":5.4773046868457227},5.4986073694907605,5.6403367843756653,5.0298891915435,null,null,null,null,null,null,null,null,null,null,0.83398549437776881,1.4555792790764724E-2,-0.81942970158700412,-1.4301258739910266E-2,{"$f":"ABS(AV108)*'Simple AR Calculator'!$C$8","v":3.4323020975784639},5.4744117082068806,18.789834789086576,null,null,null,null,null,7.2149384318746499,0.12592443096488923,-7.0890140009097609,-0.12341120290227225,0.83398549437776881,8.6511557821010658,74.842496366180711,1.3219398040058374,5.4578418850929689,29.788038042675172,0,null,null,12.374527615415158,0.21597625026795711,-12.158551365147201,0.97756851407653722]
[null,null,"    Calculation:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.157726257126515,3.7659427543591445E-2,-2.1200668295829237,0.99931549868037028,19.27812377573715,null,9.7886183544260277,0.17084361950588345,-9.617774734920145,0.98594425334855951,1.0142561271630754,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC109","v":5.4800980422404493},5.5024654482459727,5.6374617509249374,5.0273253198755521,null,null,null,null,null,null,null,null,null,null,0.81942970158700412,1.4301746281327826E-2,-0.80512795530567627,-1.4051671263012742E-2,{"$f":"ABS(AV109)*'Simple AR Calculator'!$C$8","v":3.3724011031230581},5.4773046868457227,18.471668368059611,55,null,null,null,null,7.0890140009097609,0.12372663503585163,-6.965287365873909,-0.12126798723030492,0.81942970158700412,8.6511557821010641,74.842496366180669,1.3075708930927306,5.4215140749596209,29.392814864985272,0,null,null,12.158551365147201,0.21220675359466998,-11.946344611552531,0.97834187345079171]
[null,null,"    ((5.4*86)-194)+(9.5-10)*(44+((Leverage-5)*8))",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.1200668295829237,3.7002146538539539E-2,-2.083064683044384,0.99933918116392439,19.265056273183983,null,9.617774734920145,0.16786183583948139,-9.4499128990806636,0.98642950677184249,1.0137571850142317,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC110","v":5.4827951889867199},5.5061977748104036,5.6346885191891838,5.0248522320322966,null,null,null,null,null,null,null,null,null,null,0.80512795530567627,1.40521337199338E-2,-0.79107582158574252,-1.3806439056548667E-2,{"$f":"ABS(AV110)*'Simple AR Calculator'!$C$8","v":3.3135453735716802},5.4800980422404493,18.158553514585062,null,null,null,null,null,6.965287365873909,0.12156719788206263,-6.8437201679918465,-0.11916162689731431,0.80512795530567627,8.6511557821010641,74.842496366180669,1.2932019821796237,5.3860784795073426,29.009841387412127,0,null,null,11.946344611552531,0.2085030470494747,-11.737841564503057,0.97908866418372054]
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[null,null,"    270.4 + -0.5*(44+3.2)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.0467083457932476,3.5721799462138805E-2,-2.0109865463311087,0.99938411661844218,19.240237426767798,null,9.2849808049650235,0.16205348603111314,-9.1229273189339111,0.98735043960740376,1.0128116217759786,{"$f":"($AG$47/$AG$48) * ($AG$49/$AG$50)* ($AG$51/$AG$52) *  Generic!AC112","v":5.4879139390702605},5.5133004666264638,5.6294328678344883,5.0201653941795046,null,null,null,null,null,null,null,null,null,null,0.77726894386615208,1.3565902243963337E-2,-0.76370304162218872,-1.332873789886254E-2,{"$f":"ABS(AV112)*'Simple AR Calculator'!$C$8","v":3.1988970957270095},5.4853994257385486,17.54722829189765,null,null,null,null,null,6.7242747179752493,0.11736073363728124,-6.6069139843379681,-0.11505702172662025,0.77726894386615208,8.6511557821010641,74.842496366180669,1.2644641603534099,5.3178847837773873,28.279898573531067,0,null,null,11.532977582125037,0.20128843136677663,-11.33168915075826,0.98050613467138914]
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[null,"activation code"]
[null,{"$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,{"$f":"'Max Summary'!E19","v":8.151601788375558},null,{"$f":"'Max Summary'!E10","v":5.4820261437908497},null,{"$f":"'Max Summary'!E14","v":1.9672131147540985}]
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[null,null,null,null,{"$f":"G22/E22","v":0.67250907074587385},null,{"$f":"E22/G22","v":1.4869687912029335},null,null,null,null,null,null,{"$f":"E22/E27","v":1.0868802384500744}]
[null,null,null,null,7.5,null,{"$f":"G22","v":5.4820261437908497},null,null,null,null,null,null,{"$f":"1/N26","v":0.92006457070746972}]
[null,null,null,null,{"$f":"E22/2","v":4.075800894187779},null,{"$f":"IF(E22<E27,((E28 * N27)+0.4),E27/2)","v":3.75},null,null,null,null,null,null,{"$f":"G27*N26","v":5.9583058823529411}]
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[null,null,null,null,{"$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,{"$f":"J38*I42","v":4.2070320558419692},4.2243478697051398,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1987]
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[null,null,null,null,"VR recession",null,"Shk I recession",null,null,null,null,null,null,null,null,null,null,null,19.912307751739878]
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["AR arc",{"$f":"AH9/AE30","v":5.0799886655115873},"WipRo =",{"$f":"D6/S10","v":1.4108783453246099},{"$f":"'Simple AR Calculator'!D9","v":93.5},null,{"$f":"G9*E35","v":42.943165052274217},"per 21.4",null,"arc",{"$f":"(J13/360) * (6.28 * M13)","v":112.24603962971473},null,"lift Ro",null,null,null,null,"arc L =",{"$f":"(T13/360) * (6.28 * U10)","v":4.738855411965659},null,{"$f":"'Simple AR Calculator'!D7","v":130.38404810405297},null,{"$f":"U10/1000","v":0.13038404810405296},null,null,null,null,null,null,null,{"$f":"(AC17*360) /( 6.28*AC9)","v":18.734912735738853},"is Sk ang.  ",null,null,null,null,null,null,null,null,null,null,null,{"$f":"H33","v":21.400934559032695}]
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["Sk ro",{"$f":"E35","v":6.4281381984747306},{"$f":"AC15*M13","v":6.7774156798562339},null,null,null,null,null,null,"arc L =  θ / 360 * (2πr) ",null,null,null,null,{"$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,{"$f":"AN16/AR18","v":7.2082829174177805},"sk ro"]
["Sk ro",{"$f":"E36","v":7.2082829174177805},{"$f":"AE14/G8","v":7.2854847713182025},{"$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 =",{"$f":"B17*B18*B20","v":5.094629974556061},{"$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":4.7409452874963733},"mm"]
[{"$f":"AE30 * B17 * B18* B20","v":44.452623052508152},{"$f":"B21*AE30","v":44.452623052508144},{"$f":"C21*AE30","v":44.288043777065994},{"$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":8.7228868516501024},"mm",null,null,null,null,null,null,null,null,null,{"$f":"AP37","v":13.13706424660673},"mm"]
[null,null,null,null,null,null,null,null,null,null,"Knuckle",null,null,null,{"$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,{"$f":"(D6*E27) / H33","v":42.978200832535421},"jack_arc*sk ro",null,null,"Wippen",{"$f":"G8/V27","v":1.3018315913016767},null,null,null,null,null,null,null,{"$f":"V11/AE30","v":0.54290771880423461}]
[null,null,null,"arc L =  θ / 360 * (2πr) ",null,{"$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":4.7409452874963733},null,{"$f":"'Simple AR Calculator'!C10","v":66.3}]
[null,null,null,null,null,{"$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":66.3},null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C8","v":240}]
[null,null,null,null,{"$f":"'Simple AR Calculator'!D11","v":137.56816492197603},null,null,null,null,null,null,null,null,null,{"$f":"G8*C20","v":44.185533502827205},"sk ro * jack_vert",null,null,null,null,null,{"$f":"W30","v":4.7271806127485068}]
[null,{"$f":"C28-2","v":43},{"$f":"'Simple AR Calculator'!C15","v":45}]
[null,null,{"$f":"DEGREES(ATAN(C30))","v":17.357799361388246},"degrees",null,null,null,null,null,360,"degrees",null,null,{"$f":"ABS(O33)","v":6.1818778921827739},{"$f":"M30*K30","v":19.084734394867095},"mm shortening",null,null,null,{"$f":"'Simple AR Calculator'!C149","v":4.0991543541196993},"degrees",null,{"$f":"U26*U30","v":66.130393864364933},"mm shortening",null,null,null,null,{"$f":"'Simple AR Calculator'!F72","v":2.0834920824005021},"degs",{"$f":"AC26*AC30","v":239.84133839875656},"mm shortening"]
[null,null,{"$f":"B28/E27","v":0.31257231659947005},null,{"$f":"B28/E27","v":0.31257231659947005},null,{"$f":"B28/D33","v":0.33076923076923076},{"$f":"DEGREES(ATAN(G30))","v":18.302626241748182},"degrees","cos =",{"$f":"COS(RADIANS(J29))","v":1},null,{"$f":"H34","v":19.084734394867095},null,{"$f":"K31*M30","v":-4.6763265712425638E-15},"mm vertical",null,null,null,"cos =",{"$f":"COS(RADIANS(T29))","v":0.99744183807488584},null,{"$f":"U31*W29","v":4.7271806127485068},"mm vertical rise",null,null,null,"cos =",{"$f":"COS(RADIANS(AC29))","v":0.999338909994819},null,{"$f":"AC31*AC26","v":8.7253879623282522},"mm vertical rise",null,null,null,null,null,null,null,null,null,21.4]
[null,null,null,"degrees",{"$f":"DEGREES(ASIN(E30))","v":18.214318808027489},null,null,null,null,"sine =",{"$f":"SIN(RADIANS(J29))","v":-2.45029690981724E-16},null,null,null,{"$f":"O30*E36","v":-3.3708284939754631E-14},"ham rise",null,null,null,"sine =",{"$f":"SIN(RADIANS(T29))","v":7.1482722792246947E-2},null,{"$f":"U26-W29","v":0.16960613563506399},"run scrub",null,null,null,"sine =",{"$f":"SIN(RADIANS(AC29))","v":3.6355783176367715E-2},null,{"$f":"AC26-AE29","v":0.15866160124343764},"capstan scrub run"]
[null,null,null,null,null,null,null,null,null,341.1,"degrees",null,null,null,{"$f":"M30*K33","v":18.055787788096232},"mm lengthening",null,null,null,"Degrees =",{"$f":"(S25*360) / (6.28 * U26)","v":4.0991543541196993},null,{"$f":"W30/W31","v":27.871518887263768},"slope",null,null,null,"Degrees =",{"$f":"(AE30*360) / (6.28 * AC26)","v":2.084089481447831},null,{"$f":"AE30/AE31","v":54.993696609305715},"slope",null,null,null,null,null,null,null,null,null,{"$f":"AR18","v":19.084734394867095}]
[null,null,null,130,null,null,null,{"$f":"'Simple AR Calculator'!D12","v":21.400934559032695},"mm","cos =",{"$f":"COS(RADIANS(J32))","v":0.9460853588275453},null,null,null,{"$f":"K34*M30","v":-6.1818778921827739},"mm vertical",null,null,null,null,null,null,null,null,null,null,null,"radians =",{"$f":"RADIANS(AC29)","v":3.6363796777121767E-2}]
[null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!F16","v":19.084734394867095},"mm","sine =",{"$f":"SIN(RADIANS(J32))","v":-0.32391741819814956},null,null,null,{"$f":"(O33*E36) * -1","v":44.560724807783728},"ham rise",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"degrees =",56,null,43.5]
[null,null,"SkRo @ 21.4",null,{"$f":"E27/H33","v":6.4281381984747306},"Ro",null,21.4,"?",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"sine",{"$f":"SIN(RADIANS(AN34))","v":0.82903757255504174},null,{"$f":"SIN(RADIANS(AP34))","v":0.68835457569375391}]
[null,null,"SkRo @ 19.3",null,{"$f":"E27/H34","v":7.2082829174177805},"Ro",null,null,null,null,null,null,null,null,{"$f":"O33*-1","v":6.1818778921827739},"NET RISE",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"cos",{"$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":13.13706424660673}]
[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":13.84357720761329}]
[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 =",{"$f":"AN37-AP37","v":4.6043398060711631}]
[null,null,null,null,94,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21.5,0.36649999999999999,0.93042000000000002,34.5,87.5,null,null,null,null,"ham rise =",{"$f":"AN40*AR11","v":29.597332586163777},null,{"$f":"AN40*AR19","v":33.189383970089459}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,22,0.37461,0.92718,35.200000000000003,87.2]
[null,null,null,null,null,{"$f":"D60-D57","v":6.1987549339417995},"mm net rise",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,22.5,0.38268000000000002,0.92388000000000003,36,86.8]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23,0.39073000000000002,0.92049999999999998,36.700000000000003,86.5]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23.5,0.39874999999999999,0.91705999999999999,37.5,86.2]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,24,0.40673999999999999,0.91354999999999997,38.200000000000003,85.9]
[null,null,null,null,null,null,null,null,null,null,null,null,19.100000000000001,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,24.5,0.41469,0.90995999999999999,39,85.5]
[null,null,null,null,null,null,null,null,null,null,null,21.4,null,null,null,null,null,null,null,null,null,null,null,null,null,"sine",{"$f":"SIN(RADIANS(AD52))","v":0.70710678118654746},null,{"$f":"AA48*Z39","v":66.468037431535464},25,0.42262,0.90630999999999995,39.700000000000003,85.2]
[null,null,null,null,null,null,null,null,{"$f":"E10","v":93.5},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"cos",{"$f":"COS(RADIANS(AD52))","v":0.70710678118654757},null,{"$f":"AA49*Z39","v":66.468037431535478},30,0.55000000000000004,0.86602999999999997,{"$f":"AG48-AG40","v":6},{"$f":"AH48-AH40","v":-2.5999999999999943}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,35,0.57357999999999998,0.81915000000000004]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,40,0.64278999999999997,0.76604000000000005]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,45,0.70711000000000002,0.70711000000000002]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"arc L =",{"$f":"(D13/360) * (6.28 *E41)","v":6.7217022175665031}]
[null,20,"degrees jack top at rest",null,null,null,null,null,"INERTIA Torque Rads",null,null,null,null,null,"INERTIA Torque "]
[null,"cos = ",{"$f":"COS(RADIANS(B55))","v":0.93969262078590843},{"$f":"C56*I49","v":87.861260043482432},"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":31.978883400950025},"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,{"$f":"B55+T29","v":24.099154354119698},"degrees jack top deployed",null,null,null,null,"where x = (dip * So) / Ki ",null,null,{"$f":"(AE30 * AC9) / AC26","v":5.0013983758741558},null,null,"where x = (dip * So) / Ki ",null,null,{"$f":"(AE30 * AC8) / AC26","v":4.7262518129278028}]
[null,"cos = ",{"$f":"COS(RADIANS(B58))","v":0.91284020380738984},{"$f":"C59*I49","v":85.350559055990956},"mm horizontal",null,null,"Then: Rθ =  (AR * dip) / x ",null,null,{"$f":"(B9 * AE30) / K58","v":8.5900182557832974},{"$f":"K59^2","v":73.788413634690329},null,"Then: Rθ =  (AR * dip) / x ",null,null,{"$f":" (A4 * AE30) / Q58","v":10.120663650075416},{"$f":"Q59^2","v":102.42783271795784}]
[null,"sine = ",{"$f":"SIN(RADIANS(B58))","v":0.40831698753895002},{"$f":"C60*I49","v":38.177638334891824},"mm vertical",null,null,"SW_A61 = ",null,null,{"$f":"C4","v":9.1207153502235467},{"$f":"1/K59","v":0.11641418798228306},null,"SW_A61 = ",null,null,{"$f":"C4","v":9.1207153502235467},{"$f":"1/Q59","v":9.880774962742174E-2}]
[null,null,null,null,null,null,null,"I_SW =",null,null,{"$f":"K60*(AC9/1000)^2","v":0.17260953800298062},null,null,"I_SW =",null,null,{"$f":"Q60*(AC9/1000)^2","v":0.17260953800298062}]
[null,null,null,null,null,null,null,"SW_E44 = ",null,null,{"$f":"'Key Leads'!H189","v":10.190271236959761},null,8.74,"SW_E44 = ",null,null,{"$f":"'Key Leads'!H189","v":10.190271236959761}]
[null,null,null,null,null,null,null,"I_SW =",null,null,{"$f":"K62*(AC9/1000)^2","v":0.1928508831594635},null,{"$f":"M62*(AC9/1000)^2","v":0.16540450000000001},"I_SW =",null,null,{"$f":"K62*(AC9/1000)^2","v":0.1928508831594635}]
[null,null,null,null,null,null,null,"I_sys =",null,null,{"$f":"(K61*L59) * 10","v":127.36583987456734},{"$f":"('Key Leads'!F60/1000*'Key Leads'!D67^2) * 10000","v":2.8899999999999997},{"$f":"(M63*L59) * 10","v":122.04935663039137},"I_sys =",null,null,{"$f":"(Q63*R59) * 10","v":197.5329799976796},{"$f":"('Key Leads'!F60 / 1000*'Key Leads'!D67^2) * 10000","v":2.8899999999999997}]
[null,null,null,null,null,null,null,"Plus I_ki (motor)",null,null,{"$f":"(AC26/10)^2 * A3","v":28.8},null,null,"Plus I_ki (motor)",null,null,{"$f":"(AC26/10)^2 * A3","v":28.8}]
[null,null,null,null,null,null,null,"Total I felt at key",null,null,{"$f":"K64+K65","v":156.16583987456735},null,null,"Total I felt at key",null,null,{"$f":"Q64+Q65","v":226.33297999767962}]
[null,null,null,null,null,null,null,"Force_capstan =",null,null,{"$f":"((K60/1000 * 'Simple AR Calculator'!C26* 'Simple AR Calculator'!C25)  ) + 'Key Leads'!F60 / 1000","v":0.11536065573770492},null,null,"Force_capstan =",null,null,{"$f":"((K60/1000 * 'Simple AR Calculator'!C26* 'Simple AR Calculator'!C25)  ) + 'Key Leads'!F60 / 1000","v":0.11536065573770492}]
[null,null,null,null,null,null,null,"I_capstan =",null,null,{"$f":" (K67 * W10 ^2)","v":1.9611311475409834E-3},{"$f":"K66+L64","v":159.05583987456734},null,"I_capstan =",null,null,{"$f":" (Q67 * W9 ^2)","v":1.717028E-3},{"$f":"Q66+R64","v":229.2229799976796}]
[null,null,null,null,null,null,null,"Torq_o =",{"$f":"(K64/10000) * K59","v":0.10940748896857057},{"$f":"K60/50","v":0.18241430700447092},"Inertia =",{"$f":"I69/K59","v":1.2736583987456734E-2},null,"Torq_o =",{"$f":"(Q64/10000) * Q59","v":0.199916485035359},{"$f":"Q60/50","v":0.18241430700447092},"Inertia =",{"$f":"O69/Q59","v":1.9753297999767959E-2}]
[null,null,null,null,null,null,null,null,{"$f":"B4","v":0.18241430700447095},null,null,null,null,null,{"$f":"B4","v":0.18241430700447095}]
[null,{"$f":"G3","v":"Standard Action"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"torque = (moment of inertia)(angular acceleration)"]
[null,"Kodar =","WH * (v * Ss) / (s*rs + v * Ss) ",null,null,{"$f":"(C79*(C80*C85)/(C84 * C82 + C80 * C85))","v":124.53949904709994},"is Kodar",null,"H",null,"KoDar",{"$f":"'Simple AR Calculator'!D7","v":130.38404810405297},"per sarc"]
[null,"WH  = ","line from balance hole to wippen center, aka the magic line",null,null,null,null,null,null,"ra = Widar",null,{"$f":"F72","v":124.53949904709994},"per here",null,null,null,null,null,"τ = Iα"]
[null,"v = ","kidar (e.g. 240 mm)",null,null,null,null,null,null,null,null,{"$f":"L72-L73","v":5.8445490569530278},"mm"]
[null,"Ss = ","(profile rise * Wodar) / Widar",null,null,{"$f":"(C81 * C82) /  U26","v":6.7290827473988886},null,null,null,null,"P",null,null,null,null,null,null,null,"τ = torque, around a defined axis (N∙m)"]
[null,"s = ","full dip, inc AT"]
[null,"rs = ","Wodar",null,null,null,null,null,null,null,{"$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":188.3},null,206.5,"enter actual when available",null,null,null,null,{"$f":"C86","v":122},null,null,null,null,null,"A",null,"α = angular acceleration (radians/s2)"]
[null,"v = ",{"$f":"'Simple AR Calculator'!D8","v":240},null,null,null,null,null,"C",null,{"$f":"C88","v":188.3},null,"W","underside of key",null,{"$f":"C80","v":240}]
[null,"pro_rise =",{"$f":"S25","v":4.7409452874963733},{"$f":"C81/2","v":2.3704726437481867}]
[null,"Wod =",{"$f":"'Simple AR Calculator'!E9","v":94.103213409607932}]
[null,"Wid =",{"$f":"'Simple AR Calculator'!D10","v":66.3},null,null,null,null,null,null,{"$f":"C79-F72","v":63.760500952900074},"is Wid here",null,{"$f":"L73/J83","v":1.9532390302124092},"Ro key out to whip in"]
[null,"s = targ ",{"$f":"AF22","v":8.7228868516501024},{"$f":"Compare!H9","v":9.9811600449676146},{"$f":"C84/2","v":4.3614434258250512},null,null,null,null,{"$f":"C83-J83","v":2.5394990470999232},"diff"]
[null,"Ss =",{"$f":"G9","v":6.6804981047955341},{"$f":"H9","v":"per ratio"},{"$f":"C85/2","v":3.340249052397767}]
[null,"Kom =",{"$f":"'Simple AR Calculator'!C7","v":122},null,null,null,null,null,null," S S = o/h"]
[null,"Wim = ",{"$f":"'Simple AR Calculator'!C10","v":66.3},null,null,null,null,null,null,"sine =",{"$f":"C90/F72","v":{"$error":"#REF!"}},"per here",null,"tan =",{"$f":"SQRT(L73^2 - K79^2)","v":25.02172701678694},"is new cap"]
[null,"CW = ",{"$f":"C86+C87","v":188.3},null,null,null,null,null,null,"Ang W =",{"$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":25.02172701678694},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":6.7261164728428344},"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":[]}
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[]
[]
[]
[]
[]
[]
[]
[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,{"$f":"'Simple AR Calculator'!C47","v":4.924889680012674},{"$f":"'Simple AR Calculator'!H9","v":4.924889680012674},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},{"$f":"'Simple AR Calculator'!D47","v":8.7311600449676146},{"$f":"H12+G6","v":9.9811600449676146},1.05,4.133858267716535E-2]
[null,null,"Computed Hammer Trvl. to Pt. of L-O",null,null,null,{"$f":"G3*H12","v":43},{"$f":"G12*G3","v":43.092784700110897},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":45},{"$f":"G7+H13","v":45.092784700110897},null,{"$f":"'Simple AR Calculator'!E28","v":1677080.9107642956},{"$f":"(J16*G12) / J17","v":43.092784700110904}]
[null,null,null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!E27","v":340531.67070332821}]
[null,null,null,null,null,null,{"$f":"G16","v":45}]
[null,null,null,null,null,null,{"$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\""]

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[]
[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. AGPLcomp10_23_REN_WipRo© Oct 2023 by Nick Gravagne. All rights reserved. Do not copy or distribute without express permission."]
[null,null,"Piano Name","Standard Action",null,null,null,null,null,"SSA ca 1916",null,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,"Whippen Output Arm",93.5,93.5,null,null,null,null,91,91,{"$f":"'Simple AR Calculator'!E9","v":94.103213409607932},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",66.3,66.3,null,null,null,null,67,67,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",130,137.56816492197603,null,null,null,null,130,137.56816492197603,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",17,21.400934559032695,null,null,null,null,15.5,19.912307751739878,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,9.5,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,null,null,null,null,null,6,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",45,null,null,null,null,null,45,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",113,null,null,null,null,null,111,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)",515,null,null,null,null,null,500,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 ",46,null,null,null,null,null,39,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 ",45,null,null,null,null,null,45,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",2.1230769230769231,2.0460729695234821,null,null,"Key Ratio Front",null,2.0588235294117649,1.9564347116688632]
[null,null,"Key Ratio Back",0.47101449275362317,0.48874112257731156,null,null,"Key Ratio Back",null,0.48571428571428571,0.51113384670372541]
[null,null,"Whip ratio",1.5593220338983051,1.5593220338983051,null,null,"Whip Ratio",null,1.3582089552238805,1.3582089552238805]
[null,null,"Shank ratio",7.6470588235294121,6.5819850810261,null,null,"Shank Ratio",null,8.387096774193548,6.9087002188360485]
[null,null,"Whip Weight",17,null,null,null,"Whip Weight",null,17]
[null,null,"DW Target",50,null,null,null,"DW Target",null,50]
[]
[null,null,"MAR ",5.6164838816882687,null,null,null,"MAR",null,5.5329802599903699]
[null,null,"DAR ",5.0161624323809972,null,null,null,"DAR",null,4.7962032416487315]
[null,null,"Dip ",10.021645773662623,null,null,null,"DIP",null,10.215424906643117]
[null,null,"Inertia ",225.92331215306189,null,null,null,"Inertia",null,218.29825334782859]
[null,null,"Capstan Change",3,null,null,null,"Capstan Change",null,-7]
[]
[]
[]
[]
[]
[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,null,null,null,"SSA1 59673 mod",null,null,"SSA1 60402 mod",null,null,"Scott SSL",null,null,"SSB-VB",null,null,"SSB-VB","mod",null,"Bechstein",null,null,null,null,null,null,null,null,null,null,null,"SSO Asu 186339 Orig"]
[null,null,"Key Output Arm",117,123.3288287465668,null,null,null,null,120,125.9942855847042,null,120,126.08604205065683,null,114,120.16655108639841,null,130,135.4400236266961,null,130,135.4400236266961,null,143.75,148.94650885468917,null,null,null,null,null,null,null,null,null,null,116.86,122.88311356732461]
[null,null,"Key Input Arm",246,246,null,null,null,null,230,230,null,230,230,null,237,237,null,245,245,null,245,245,null,290,290,null,null,null,null,null,null,null,null,null,null,236,236]
[null,null,"Whippen Output Arm",93.2,93.2,null,null,null,null,94.1,94.1,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,null,null,null,null,null,null,null,null,null,93.9,93.9]
[null,null,"Whippen Input Arm",63.9,63.9,null,null,null,null,68.099999999999994,68.099999999999994,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,null,null,null,null,null,null,null,null,null,65.900000000000006,65.900000000000006]
[null,null,"Shank Output Arm",130,137.56816492197603,null,null,null,null,128,135.28651078359587,null,129,136.23303564113954,null,130,137.56816492197603,null,127,134.73678042761748,null,127,134.73678042761748,null,128,135.67977004697494,null,null,null,null,null,null,null,null,null,null,130,137.56816492197603]
[null,null,"Shank Input Arm",17,21.400934559032695,null,null,null,null,16.2,20.523157651784484,null,16.2,20.896889720721596,null,16.2,20.771133815947554,null,17,21.507687579095993,null,17,21.507687579095993,null,17,21.400934559032695,null,null,null,null,null,null,null,null,null,null,16.2,20.843301681835342]
[null,null,"Knuck Diameter",10,null,null,null,null,null,9.5,null,null,10.1,null,null,10,null,null,10,null,null,10,null,null,10,null,null,null,null,null,null,null,null,null,null,null,10]
[null,null,"Shank Thickness",6,null,null,null,null,null,6.2,null,null,6.2,null,null,6,null,null,6.35,null,null,6.35,null,null,6,null,null,null,null,null,null,null,null,null,null,null,6.23]
[null,null,"Blow Distance",47,null,null,null,null,null,45,null,null,45,null,null,45,null,null,45,null,null,45,null,null,46,null,null,null,null,null,null,null,null,null,null,null,45]
[null,null,"Let-Off ",2,null,null,null,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,null,null,null,2]
[null,null,"Spread",112.5,null,null,null,null,null,112.5,null,null,112.5,null,null,113,null,null,112.5,null,null,112.5,null,null,115,null,null,null,null,null,null,null,null,null,null,null,112.85]
[null,null,"Key Length (optional)",492,null,null,null,null,null,541,null,null,541,null,null,485,null,null,515,null,null,515,null,null,482,null,null,null,null,null,null,null,null,null,null,null,500]
[null,null,"Capstan Height ",39,null,null,null,null,null,38.4,null,null,38.700000000000003,null,null,38,null,null,38,null,null,38,null,null,39,null,null,null,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,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,null,null,null,43.8,null,null,43.8,null,null,45,null,null,45,null,null,45,null,null,45,null,null,null,null,null,null,null,null,null,null,null,45]
[null,null,"Aftertouch ",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,null,null,null,null,null,null,null,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,"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,"Inertia "]
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[]
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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,{"$f":"O181","v":0},null,93,93.869758464276686]
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[null,null,"Shank Input Arm",17,null,null,null,null,null,null,null,null,16.2,null,null,16]
[null,null,"Knuck Diameter",10,null,null,null,null,null,null,null,null,10,"change to 16.2 k and +2 to cap ",null,10,"new shanks and Abel hammers"]
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[null,null,"Blow Distance",47.830045368896386,null,null,null,null,null,null,null,null,47,null,null,44.5]
[null,null,"Let-Off ",1.6,null,null,null,null,null,null,null,null,2,null,null,2]
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[null,null,"Whippen Heel Height ",22,null,null,null,null,null,null,null,null,22,null,null,18]
[null,null,"Hammer Bore ",48,null,null,null,null,null,null,null,null,52,null,null,48]
[null,null,"Aftertouch ",1.25,null,null,null,null,null,null,null,null,1.25,null,null,1.25]
[null,null,"Key Ratio Front"]
[null,null,"Key Ratio Back"]
[null,null,"Whip ratio"]
[null,null,"Shank ratio"]
[null,null,"Whip Weight"]
[null,null,"DW Target"]
[]
[null,null,"MAR "]
[null,null,"DAR "]
[null,null,"Dip "]
[null,null,"Inertia "]
[null,null,"Capstan Change"]
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[]
[]
[]
[]
[null,null,"Stuff below is interesting, but you don't need to use it."]
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[null,"Number",null,"TOP",null,null,null,null,null,null,null,null,null,null,null,"TOP",null,null,null,null,null,null,null,null,"TOP",null,null,null,null,"TOP"]
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[null,null,"MEASURE WHIPPEN HEEL HEIGHT --- ONE SIMPLE MEASUREMENT"]
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[null,null,null,61]
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[null,null,{"$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":{"$error":"#REF!"}}," is Key Out Distance Radial Arm"]
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[]
[]
[null,null,"MEASURE HAMMER BORE --- ONE SIMPLE MEASUREMENT"]
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[]
[]
[]
[]
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[]
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[null,null,null,{"$f":"C297","v":{"$error":"#REF!"}},null,null,null,{"$f":"C305","v":{"$error":"#REF!"}}]
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[null,null,null,null,null,null,null,null,{"$f":"C298","v":{"$error":"#REF!"}}]
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[null,null,{"$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":"'Simple AR Calculator'!E9","v":94.103213409607932}]
[null,null,{"$f":"C240","v":{"$error":"#REF!"}}]
[null,null,{"$f":"C299","v":{"$error":"#REF!"}}]

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[null,"Click for Instructions for this Page"]
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[null,{"$f":"'Simple AR Calculator'!C6","v":"Standard Action"},null,null,null,null,null,"Read Why You Are Here --->>>"]
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[null,"Piano Size","  = Large Grands to Medium Large",null,null,null,{"$f":"((H5/F6)-1) *100","v":0.21577837235091657},{"$f":"'Simple AR Calculator'!H8","v":4.924889680012674},"Action Ratio per your measurements",null,null,null,null,null,null,null,null,null,{"$f":"H9","v":9.9811600449676146},"mm"]
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[{"$f":"'Simple AR Calculator'!C22","v":1.25},"This is what you want",null,null,null,null,null,null,"This is what you have"]
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[{"$f":"'Simple AR Calculator'!C8","v":240},"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,{"$f":"B3","v":"Standard Action"}]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Changes (if any) made here on the Compare Page",null,null,"Original Input Data from the Archives Page"]
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[null,null,null,null,null,null,"B      75",{"$f":"'Key Leads'!I220","v":5.3947743666169901},{"$f":"'Key Leads'!C220","v":11.439000000000002},{"$f":"'Key Leads'!F220","v":47},{"$f":"'Key Leads'!L220","v":1.6740869565217393},{"$f":"'Key Leads'!J220","v":96.324231951759046},120.4052899396988,{"$f":"'Key Leads'!K220","v":2.0926086956521739},{"$f":"'Key Leads'!AG220","v":3.1389130434782611}]
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[null,null,null,null,null,null,"B       87",{"$f":"'Key Leads'!I232","v":4.0376119225037259},{"$f":"'Key Leads'!C232","v":3.9990000000000001},{"$f":"'Key Leads'!F232","v":47},{"$f":"'Key Leads'!L232","v":0.81147826086956532},{"$f":"'Key Leads'!J232","v":77.363839180106169},96.704798975132704,{"$f":"'Key Leads'!K232","v":1.0143478260869565},{"$f":"'Key Leads'!AG232","v":1.5215217391304348}]
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[null,null,null,null,null,null,"Averages>",{"$f":"AVERAGE(H10:H97)","v":8.2723206747053286},24.350147727272727,49.863636363636367,2.8390158102766798,136.52532096407867,170.65665120509834,3.5487697628458501,5.3231546442687749]
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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]
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[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]
[null,"A#   26",11.261364037435644,9.7613640374356443,34.681328990355098,5.1379746652377927,10.243054686242688,8.6430546862426887,28.885411711583316,4.2793202535678985,9.5084474492063347,7.908447449206335,24.698150460476107,3.6589852534038676,8.538992232260588]
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[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",{"$f":"'Simple AR Calculator'!C6","v":"Standard Action"}]
[null,null,"As a result of Action Geometry data you entered at the Main Form (AR Calculator) this worksheet has automatically been run."]
[]
[null,null,"Note that this form takes additional inputs:               "]
[null,null,"                                                                                               ",null,null,null,"  1) Friction (a default of 12 grams is already in place, but you may change)."]
[null,null,null,null,null,null,"  2) Weight of a single key lead that represents the keys you are working with, e.g.15 grams,"]
[null,null,"                                                                                                                                                                                                                                                  ",null,null,null,"       or plan to use on a new set of keys (if replacing). Default is 13.8 grams but you may change.."]
[]
[null,null,"Other optional inputs exist as well.",null,null,null,"   3) A trial hammer / strike weight value that is different from the carried over theoretical hammer."]
[null,null,null,null,null,null,"   4) Optional, downweight default is for 50 grams, but you may change in columns below. "]
[]
[]
[]
[]
[]
[]
[null,null,"The drawings below depict the transference of grams-force as it develops downward from the hammer mass, then through the whippen,"]
[null,null,"and finally through the key resulting in a balancing downweight of 50 gms (+ or -). The roadmap trail of the red arrows indicates the direction of the flow."]
[null,null,"A full grasp of what follows is not required to accomplish the basic task of working up an action per indications and program implications."]
[null,null,"Lastly, a useful and practical theoretical range of hammer weights for notes 1 to 88 is indicated at the bottom of this page."]
[]
[]
[null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C11","v":130}]
[null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!D11","v":137.56816492197603}]
[]
[null,null,{"$f":"'Simple AR Calculator'!H12","v":9.1207153502235467},null,null,"7.628 (128.3 / 18.3) + (2.544 / 2) (128.3 / 18.3) = 62.4"]
[null,"Diff SW-->",9.1207153502235467]
[null,null,null,null,null,null,{"$f":"(3.5/2)*(G26/(K34))","v":13.382352941176471},null,null,null,null,null,"Dr. Walter Pfeiffer Moments Box"]
[null,null,null,null,null,"Σm = (a x b) - (d x d) = 0",null,null,null,null,null,null,"pv = p'Ko",{"$f":"O37*N56","v":12000},{"$f":"G67*F59","v":12000.000000000002}]
[null,null,null,null,null,null,null,null,null,null,null,null,"p'wi = qwo",{"$f":"F59*D49","v":6521.3114754098369},{"$f":"F44*G44","v":6521.3114754098369}]
[null,null,null,null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C12","v":17},null,"p' = p * (V / WD) ",null,{"$f":"O37*(N56/G67)","v":98.360655737704917}]
[null,null,null,null,null,null,null,null,null,null,null,null,"q' = p' (HD_2 / HD_3)",null,{"$f":"F59*(D49/G44)","v":69.746646795827132}]
[null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C26","v":7.6470588235294121},null,null,null,null,null,"q_h = q' (Si / So)",null,{"$f":"O35*(K34/G26)","v":9.1207153502235485}]
[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":69.746646795827132},"grams force down onto top of jack"]
[]
[null,null,null,null,null,{"$f":"J42","v":69.746646795827132},{"$f":"'Simple AR Calculator'!C9","v":93.5}]
[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,{"$f":"'Simple AR Calculator'!C10","v":66.3},null,null,{"$f":"'Simple AR Calculator'!C25","v":1.4102564102564104}]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"L56*1000","v":240}]
[]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C8/1000","v":0.24},"km",{"$f":"L56*1000","v":240}]
[null,null,null,null,null,null,null,null,null,null,"Center",{"$f":"(L56/2)","v":0.12},{"$f":"L57*1000","v":120},"mm"]
[null,null,null,null,"Enter Whippen Weight -->",null,null,null,null,null,"Fr. 3rd",{"$f":"((L56*5)/8)","v":0.15},null,{"$f":"L58*1000","v":150},"mm"]
[null,null,null,null,null,{"$f":"J42*G49","v":98.360655737704931},null,null,null,null,null,{"$f":"L56/L58","v":1.6},null,{"$f":"(H69*0.625)/C78","v":150}]
[null,null,null,null,null,{"$f":"'Simple AR Calculator'!F6","v":17},{"$f":"F60/1000","v":1.7000000000000001E-2},null,null,{"$f":"K60/1000","v":0.06},{"$f":"M57/2","v":60},{"$f":"L56/L57","v":2}]
[null,null,null,null,null,{"$f":"F59+F60","v":115.36065573770493},"grams force onto capstan",null,null,null,{"$f":"L56/J60","v":4},{"$f":"(L56/3)*2","v":0.16}]
[null,null,null,null,null,null,null,null,null,{"$f":"K62/1000","v":0.08},{"$f":"(L54/3)","v":80},{"$f":"L56-0.045","v":0.19500000000000001},null,{"$f":" L62-L58","v":4.5000000000000012E-2},4.4999999999999998E-2]
[null,null,null,null,null,null,null,null,null,null,{"$f":"L54/K62","v":3}]
[]
[]
[]
[null,"KG>",{"$f":"F59/1000","v":9.836065573770493E-2},{"$f":"'Simple AR Calculator'!D7/1000","v":0.13038404810405296},{"$f":"(C67*D67^2)","v":1.6721311475409836E-3},null,{"$f":"G68*1000","v":122},null,null,{"$f":"'Simple AR Calculator'!C24","v":0.5083333333333333}]
[null,null,{"$f":"F61/1000","v":0.11536065573770493},null,{"$f":"(C68*D67^2)","v":1.9611311475409834E-3},null,{"$f":"'Simple AR Calculator'!C7/1000","v":0.122},null,null,null,{"$f":"E88","v":2.433123993558775},"number of                          ",{"$f":"D81","v":13.8},"gm leads required"]
[null,null,null,null,null,{"$f":"G69* (C67)","v":1.2000000000000002E-2},{"$f":"'Simple AR Calculator'!C7/1000","v":0.122},{"$f":"G69*1000","v":122}]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M71/1000","v":1.2E-2},"DW (or BW) w/o Leads",null,{"$f":"F61*J67","v":58.641666666666673},{"$f":"(P70-50)/1000","v":8.6416666666666725E-3}]
[null,null,null,null,null,null,null,null,null,null,null,"Friction -->",12,"DW w/o Lds. + Friction",null,{"$f":"P70+M71","v":70.64166666666668},{"$f":"M71/1000","v":1.2E-2}]
[null,null,"Below worksheets calculate number of leads required per leads of your choice. We suggest 1/2\" leads. Data is based on the Action Ratio numbers you entered at the Control Page.  ",null,null,null,null,null,null,null,null,"Lead gms",13.8,"UW w/ Friction",null,{"$f":"P71-(M71*2)","v":46.64166666666668}]
[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":9.1207153502235467},"SW_Bal",{"$f":"C75/1000","v":9.1207153502235461E-3},"Strikeweight ---- hammer",null,null,null,{"$f":"E75*1000","v":9.1207153502235467},null,null,null,"Balance Weight",null,{"$f":"K86","v":38}]
[null,null,{"$f":"G36","v":7.6470588235294121},"Shk_RO",{"$f":"$E$75*$C$76","v":6.9746646795827122E-2},"per hammer ratio force at jack top",null,null,null,{"$f":"E76*1000","v":69.746646795827118},null,null,null,"Front Weight",null,{"$f":"M81","v":20.641666666666673}]
[null,null,{"$f":"G49","v":1.4102564102564104},"Wip_RO",{"$f":"$E$76*$C$77","v":9.8360655737704916E-2},"gram force at capstan",null,null,null,98.360655737704917]
["KIW      =",5.7,{"$f":"J67","v":0.5083333333333333},"Key_RO",{"$f":"$F$60/1000","v":1.7000000000000001E-2},"Whippen Radius Weight (WW)",null,null,null,17,null,"Front Weight, Strike Weight RO, and Balance Weight"]
["KIW *   =",{"$f":"B78*C88","v":11.213114754098362},{"$f":"'Simple AR Calculator'!C46","v":5.4820261437908497},"MAR",{"$f":"$E$77+$E$78","v":0.11536065573770492},"gram force at capstan plus WW",null,null,null,115.36065573770492,null,"FW = (SW * AR) + (WW * KR) - BW",null,null,null,"AR = BW + FW - (WW * KR)"]
["Ld. Adj. =",{"$f":"J84-B79","v":21.813551912568286},null,null,{"$f":"$E$79*$C$78","v":5.8641666666666661E-2},"gm force at key end or Bal. Weight (BW)",null,null,null,58.641666666666659,{"$f":"J80-J82","v":8.6416666666666586},"SW =",{"$f":"J75","v":9.1207153502235467},"grams",null,null,"SW"]
[null,null,"Lead gms",{"$f":"M72","v":13.8},{"$f":"$E$80+M70","v":7.0641666666666658E-2},"DW plus friction at key end (w/o leads)",null,null,null,70.641666666666652,{"$f":"K80*C88","v":16.999999999999986},"FW =",{"$f":"(J75*D89) + (F60 * D88) - J86","v":20.641666666666673},"grams",{"$f":"M81/1000","v":2.0641666666666673E-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 =",{"$f":"C75","v":9.1207153502235467}]
[null,null,null,1.9E-2,{"$f":"$E$81-$E$82","v":2.0641666666666655E-2},"Diff = grams mass req'd at key end = FW",null,null,null,{"$f":"E83*1000","v":20.641666666666655},{"$f":"M71*C88","v":23.606557377049182},"Note     SW  FW_max",null,null,null,"BW =",{"$f":"J86","v":37.999999999999993}]
[null,null,{"$f":"L59","v":1.6},null,{"$f":"E83*C84","v":3.3026666666666649E-2},"Lead (LW) req'd center (or front 3rd of key)",null,null,null,{"$f":"E84*1000","v":33.02666666666665},{"$f":"K81+K83","v":40.606557377049171},"49         9      26.4",null,null,null,"FW =",{"$f":"M81","v":20.641666666666673}]
[null,null,{"$f":"1/C84","v":0.625},null,{"$f":"$E$79-$E$84","v":8.2333989071038269E-2},"pro-rata force at capstan (less LW required)",null,null,null,82.333989071038275,{"$f":"J79-K84","v":74.754098360655746},null,null,null,null,"WW =",{"$f":"F60","v":17}]
[null,null,{"$f":"L56*C85","v":0.15},null,{"$f":"$E$85*1/$C$89","v":3.7999999999999992E-2},"x key ratio is adjusted BW",null,null,null,{"$f":"E86*1000","v":37.999999999999993},{"$f":"K85/C88","v":38},null,null,null,null,"KR = ",{"$f":"D88","v":0.5083333333333333}]
[null,null,{"$f":"L60","v":2},null,{"$f":"$E$86+($M$71/1000)","v":4.9999999999999989E-2},"plus gram friction = practical DW",null,null,null,{"$f":"E87*1000","v":49.999999999999986},{"$f":"K86+M71","v":50},null,null,null,null,"AR = ",{"$f":"((Q83+Q84) - (Q85*D88)) / Q82","v":5.4820261437908497}]
[null,null,{"$f":"'Simple AR Calculator'!C23","v":1.9672131147540985},{"$f":"1/C88","v":0.5083333333333333},{"$f":"$K$88/(D81)","v":2.433123993558775},{"$f":"D81","v":13.8},"gram leads are required",null,null,null,{"$f":"(J84*C87)/C88","v":33.577111111111094},"BW = (SW * AR) + (WW * KR) - FW",null,null,null,null,{"$f":"(J75*D89) + (F60 * D88) - M81","v":37.999999999999993}]
[null,null,{"$f":"J85/(D82-M71)","v":2.16668392292206},{"$f":"C76*C77*D88","v":5.4820261437908497},null,7.430999755859375,"kg cm2","Fr 3rd",150,"mm",{"$f":"J84/1000","v":3.3026666666666649E-2},null,{"$f":"O81*L56^2","v":1.1889600000000004E-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":0.584734426229508},null,null,"UWwf =",{"$f":"P71-(M71*2)","v":46.64166666666668}]
[null,null,null,null,null,null,null,null,null,null,null,null,3.7328280000000001E-4]
[null,null,"Try Out Different Hammer or Strike Weight Values Here",null,null,null,null,null,null,null,null,null,{"$f":"M89+M90+M91","v":0.58629666902950806}]
[null,null,"Enter Hammer Weight Here --->>",null,null,7.7,null,null,null,null,null,"SW = (((BW + FW) - (WW * KR)) / AR) "]
[null,null,{"$f":"'Simple AR Calculator'!H20/1000","v":0.01},null,null,{"$f":"F95/1000","v":9.300000000000001E-3},null,null,null,null,null,"FW = (SW * AR) + (WW * KR) - BW"]
[null,null,"Estimated SW Here Will Be",null,null,{"$f":"F93+1.6","v":9.3000000000000007},null,null,null,null,null,"AR = (BW + FW - (WW * KR) / SW"]
[null,null,"Carried here from Main Page -->>",null,null,{"$f":"C75","v":9.1207153502235467},null,null,null,null,null,"BW = (SW * AR) + (WW * KR) - FW"]
[null,null,{"$f":"F96","v":9.1207153502235467},"SW_Bal",{"$f":"C94","v":0.01},"Strikeweight ---- hammer",null,null,null,{"$f":"E97*1000","v":10},null,"FW = (SW * Sro * Wro + WW) * Kro - BW",null,null,null,{"$f":"(C75*C76*C77+F60) * C78 -Q83","v":20.64166666666668}]
[null,null,{"$f":"C76","v":7.6470588235294121},"Shk_RO",{"$f":"E97*C98","v":7.6470588235294124E-2},"per hammer ratio force at jack top",null,null,null,76.47058823529413]
[null,null,{"$f":"C77","v":1.4102564102564104},"Wip_RO",{"$f":"E98*C99","v":0.10784313725490198},"gram force at capstan",null,null,null,107.84313725490198]
[null,null,{"$f":"C78","v":0.5083333333333333},"Key_RO",{"$f":"F60/1000","v":1.7000000000000001E-2},"Whippen Radius Weight (WW)",null,null,null,17,null,"Front Weight, Strike Weight RO, and Balance Weight"]
[null,null,{"$f":"C79","v":5.4820261437908497},"MAR",{"$f":"E99+E100","v":0.12484313725490198},"gram force at capstan plus WW",null,null,null,124.84313725490198,null,"FW = (SW * AR) + (WW * KR) - BW",null,null,null,"AR = BW + FW - (WW * KR)"]
[null,null,null,null,{"$f":"E101*C100","v":6.3461928104575169E-2},"gram force at key end or BW",null,null,null,63.461928104575172,null,"SW =",{"$f":"J97","v":10},"grams",null,null,"SW"]
[null,null,"Lead gms",{"$f":"M72","v":13.8},{"$f":"E102+(M71/1000)","v":7.5461928104575166E-2},"DW plus friction at key end",null,null,null,75.461928104575165,null,"FW =",{"$f":"(J97*D111) + (F60 * D110) - J108","v":25.461928104575172},"grams"]
[null,null,"Enter DW",{"$f":"D82","v":50},{"$f":"D104/1000","v":0.05},"is desired downweight (DDW)",null,null,null,50,null,"Click 2 cells below for FW max values",null,null,null,"SW =",{"$f":"J97","v":10}]
[null,null,null,null,{"$f":"E103-E104","v":2.5461928104575163E-2},"Diff = grams mass req'd at key end = FW",null,null,null,25.461928104575161,null,"Note     SW  FW_max",null,null,null,"BW =",{"$f":"J108","v":37.999999999999993}]
[null,null,{"$f":"C87","v":2},null,{"$f":"E105*C106","v":5.0923856209150326E-2},"Lead (LW) req'd center (or front 3rd of key)",null,null,null,50.923856209150323,{"$f":"J106/1000","v":5.0923856209150326E-2},"60         8.7      21.3",null,null,null,"FW =",{"$f":"M103","v":25.461928104575172}]
[null,null,{"$f":"1/C106","v":0.5},null,{"$f":"E101-E106","v":7.3919281045751656E-2},"pro-rata frc. at capstan minus (LW required)",null,null,null,73.91928104575166,{"$f":"K106 + (E109/10)*D110","v":5.346552287581699E-2},null,null,null,null,"WW =",{"$f":"F60","v":17}]
[null,null,{"$f":"L56*C107","v":0.12},null,{"$f":"E107*(1/C111)","v":3.7999999999999992E-2},"x key ratio is adjusted BW",null,null,null,37.999999999999993,{"$f":"E101-K107","v":7.1377614379084992E-2},null,null,null,null,"KR = ",{"$f":"D110","v":0.5083333333333333}]
[null,null,{"$f":"L60","v":2},null,{"$f":"E108+(M71/1000)","v":4.9999999999999989E-2},"plus gram friction = practical DW",null,null,null,49.999999999999986,{"$f":"K108*D110","v":3.6283620642701533E-2},null,null,null,null,"AR = ",{"$f":"((J108+Q106) - (Q107*Q108)) / Q104","v":5.4820261437908497}]
[null,null,{"$f":"'Simple AR Calculator'!C23","v":1.9672131147540985},{"$f":"1/C110","v":0.5083333333333333},{"$f":"E106/(D103/1000)","v":3.6901345079094434},{"$f":"D103","v":13.8},"gram leads are required",null,null,null,{"$f":"K109+Q71","v":4.828362064270153E-2},"BW = (SW * AR) + (WW * KR) - FW",null,null,null,null,{"$f":"(Q104*Q109) + (Q107 * Q108) - M103","v":37.999999999999993}]
[null,null,{"$f":"J107/(D104-M71)","v":1.9452442380460964},{"$f":"C98*C99*D110","v":5.4820261437908497},{"$f":"K107*L57^2","v":7.6990352941176459E-4},9.2887503957748283,"kg cm2","Fr. 3rd",150,"mm",null,null,null,null,null,"UW =",{"$f":"(Q110*2) - D104","v":25.999999999999986}]
[null,null,{"$f":"1/C111","v":0.514074264013475},null,null,"Lead Inert",null,null,null,null,null,null,null,null,null,null,{"$f":"(J108*2) - D104","v":25.999999999999986}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"`",null,null,null,null,"`"]
[]
[null,null,"Key Ln IN",{"$f":"'Simple AR Calculator'!C18/1000","v":0.51500000000000001},null,"Key Ln est.",{"$f":"IF(N56*2>0.275,G117+0.245,N56*2)","v":0.48499999999999999},null,"I (whip) = 0.019 * ((0.1118^2) / 3) = 0.0000792 ",null,null,null,null,{"$f":"J118*((K118^2)/3)","v":5.018068371941388E-5}]
[null,null,null,null,null,"Key Front",{"$f":"L56","v":0.24}]
[null,null,"Key Ht.",{"$f":"0.0254","v":2.5399999999999999E-2},null,null,null,null,null,{"$f":"G60","v":1.7000000000000001E-2},{"$f":"'Simple AR Calculator'!E9/1000","v":9.4103213409607936E-2}]
[null,null,"Key Wid",{"$f":"D118/2","v":1.2699999999999999E-2},1.29E-2]
[null,null,"Key Vol",{"$f":"IF(D116>0.1,PRODUCT(D116:D119),(G120))","v":1.661287E-4},null,null,{"$f":"PRODUCT(G116,D118,D119)","v":1.5645129999999996E-4}]
[null,null,"Spruce fac",450,null,null,{"$f":"G120*D121","v":7.040308499999999E-2}]
[null,null,"W. Spruce",435,null,null,null,null,null,null,null,null,null,null,"Inertia per leverage = SW x (AR x K)2"]
[null,null,"S. Pine ",425]
[null,null,null,null,"Key Inert","Lead Avg","C&B Inert",null,null,null,null,null,null,null,"SW",{"$f":"H146/1000","v":1.2908974068554395E-2}]
[null,null,"Spruce",{"$f":"D120*D121","v":7.4757914999999994E-2},{"$f":"IF(D116<>0,(D125*D116^2)/12,(D125*G116^2)/12)","v":1.6523056671562499E-3},{"$f":"E85*L57^2","v":1.1856094426229511E-3},3.7328280000000001E-4,{"$f":"IF(E125<>0,E125+F125+G125,0)","v":3.2111979097792015E-3},"taken @ IMA",null,null,null,null,null,"AR",{"$f":"'Simple AR Calculator'!C47","v":4.924889680012674}]
[null,null,"Spruce2",{"$f":"D120*D122","v":7.2265984500000005E-2},{"$f":"IF(D116>1, (D126*D116^2)/12,(D126*G116^2/12))","v":1.416563850334375E-3},{"$f":"F125","v":1.1856094426229511E-3},{"$f":"G125","v":3.7328280000000001E-4},{"$f":"IF(E126<>0,E126+F126+G126,0)","v":2.9754560929573263E-3},null,null,null,null,null,null,"K = ",{"$f":"L54/10","v":24}]
[null,null,"Sug. Pine",{"$f":"D120*D123","v":7.0604697499999994E-2},{"$f":"(D127*G116^2)/12","v":1.3839991641197917E-3},{"$f":"F125","v":1.1856094426229511E-3},{"$f":"G125","v":3.7328280000000001E-4},{"$f":"IF(E127<>0,E127+F127+G127,0)","v":2.9428914067427432E-3}]
[null,null,"Spruce @ trial ham",null,{"$f":"E125","v":1.6523056671562499E-3},{"$f":"K89*L57^2","v":4.7558399999999971E-4},{"$f":"G125","v":3.7328280000000001E-4},{"$f":"IF(E128<>0,E128+F128+G128,0)","v":2.5011724671562497E-3},{"$f":"H128+N116","v":2.5513531508756637E-3}]
[]
[null,null,null,null,null,{"$f":"F131/1000","v":9.1207153502235461E-3}]
[null,"FW = (SW * AR) + (WW * KR) - BW",null,null,null,{"$f":"C29","v":9.1207153502235467},null,"SW = (((BW + FW) - (WW * KR)) / AR) ",null,null,null,null,{"$f":"(((G146+D146)-(F60*D88))/D89)","v":12.361731147540983},"Iham = ",{"$f":"(F130*E133^2) +C133","v":1.7260953800298063E-4}]
[null,null,null,"shank","So","Ham","Wo ","Si","Ko","Wi","Rots Avg","Inertia =","Iham*(Wo/Si * Ko/Wi)^2",null,{"$f":"O131*(G133/H134 * I133/J133)^2","v":1.2908269251580513E-2}]
[null,null,null,{"$f":"(0.004 * E134^2)/3","v":2.2533333333333333E-5},{"$f":"'Simple AR Calculator'!D11/1000","v":0.13756816492197604},{"$f":"I146/1000","v":1.1408974068554395E-2},{"$f":"'Simple AR Calculator'!E9/1000","v":9.4103213409607936E-2},{"$f":"'Simple AR Calculator'!F16/1000","v":1.9084734394867096E-2},{"$f":"'Simple AR Calculator'!D7/1000","v":0.13038404810405296},{"$f":"'Simple AR Calculator'!D10/1000","v":6.6299999999999998E-2},{"$f":"'Simple AR Calculator'!C54","v":8.6473422306498176},"Isw = (SW * So^2) + SS",null,null,{"$f":"(F131/1000*(E133^2+C133))","v":1.7260953800298063E-4},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"FW * (Ki / Kfac) e.g. 250/160 or 250/125"]
[null,null,null,null,{"$f":"'Simple AR Calculator'!C11/1000","v":0.13},null,null,2.1399999999999999E-2,null,null,{"$f":"K133^2","v":74.776527653979755},null,null,null,null,null,null,null,null,null,null,null,null,"Wf = (((((SW * Sro * Wro) + WW) * KR + F) - DW) * KR^ -1) / 14.2",null,null,null,null,null,null,null,null,null,null,"Prac. Pos  = (L_total_req * Ctr_mm) / (Lds_on_hand * rounded(#ctr_Lds)) ",null,null,null,null,null,{"$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":8.6473422306498176},{"$f":"'Simple AR Calculator'!#REF!","v":{"$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,{"$f":"G4","v":"Standard Action"},null,null,null,null,null,"Try Different Strikeweight for  ",null,null,{"$f":"H138","v":"Standard Action"}]
[null,null,"Note -->>","A 1","  E 20","A# 26","B 27","C 40","A 49","A 61","C 88","Inert. Avg",null,"A1","A#26","C40","A 49","A61","C88","Inert. Avg"]
[null,null,"Ham gms",{"$f":"I146","v":11.408974068554395},{"$f":"I165","v":10.395297764530552},{"$f":"I171","v":9.9075219076005965},{"$f":"I172","v":9.8566283159463488},{"$f":"I185","v":8.9447391952309996},{"$f":"I194","v":8.151601788375558},{"$f":"I206","v":7.019173770491804},{"$f":"I233","v":3.9358247391952315},{"$f":"J235","v":136.52532096407862},null,{"$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},{"$f":"Q233","v":2.3268506706408374},{"$f":"R235","v":100.35454875161719},53,50,null,null,null,null,"Note    SW     Ham.","Note  SW  FW_max"]
[null,null,"% FW Mx",{"$f":"(M81/B146)","v":0.49979822437449573},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,53,50,null,null,null,null,{"$f":"A146 &\"      \"&ROUND(H146,2)&\"      \"&ROUND(I146,1)","v":"1      12.91      11.4"},{"$f":"A146 &\"         \"&ROUND(H146,1)&\"      \"&ROUND(B146,1)","v":"1         12.9      41.3"}]
[null,null,0.93,null,null,null,{"$f":"H146","v":12.908974068554395},"Enter Std. Lead Weight You Will Use -->>",null,null,null,13.8,{"$f":"D146*2","v":70.817999999999998},{"$f":"C79","v":5.4820261437908497},null,{"$f":"H146-Q143","v":1.6089740685543941},null,null,null,null,53,50,null,null,null,null,"2      12.88      11.4","2         12.9      41.1"]
[null,"Frontweight Factors",null,null,null,null,null,{"$f":"G4","v":"Standard Action"},null,null,"Ctr. mm @","Fr. 3rd",{"$f":"M142/L142","v":5.1317391304347826},"Enter a trial SW note# 1 -->>",null,null,{"$f":"'My Summary'!K10 + 1.5","v":11.3},"Inertia","Ctr. mm @","Fr. 3rd",53,50,null,null,null,null,"3      12.82      11.3","3         12.8      40.8"]
["open","Max","%","per dw tar",null,null,null,"SW-Hammers This Action",null,null,{"$f":"$L$57*1000","v":120},{"$f":"N59","v":150},null,"Trial SW-Ham. Columns",null,null,null,null,{"$f":"$L$57*1000","v":120},{"$f":"$L$58*1000","v":150},53,50,null,null,null,null,"4      12.79      11.3","4         12.8      40.6",null,"Accel 1st 4th",null,"Accel 1st 3rd"]
[null,null,null,{"$f":"C146/H146","v":2.9753720005962654},"Note","DW","BW","SW","Hammer","Inertia","# of Lds","# of Lds","#","SW","BW","FW","Hammer",null,"# of Lds","# of Lds",53,50,null,null,null,null,"5      12.74      11.2","5         12.7      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$87)","v":12.908974068554395},{"$f":"(((G146+C146) - ($F$60 * $Q$86)) / $Q$87) - 1.5","v":11.408974068554395},{"$f":"(H146 / 1000) *($P$125 *$P$126)^2","v":180.34629508097876},{"$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$78) -P146","v":32.179562091503264},{"$f":"C146","v":38.408999999999999},{"$f":"'My Summary'!K10","v":9.8000000000000007},{"$f":"(N146/1000) * ($P$125*$P$126)^2","v":157.86793927949032},{"$f":"AC146/$L$142","v":4.1053913043478261},{"$f":"S146 *0.8","v":3.284313043478261},53,50,null,null,null,null,"6      12.71      11.2","6         12.7      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":33.60924280391157},{"$f":"C146/H146","v":2.9753720005962654}]
[2,41.1,{"$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$87)","v":12.875045007451567},11.375045007451567,{"$f":"(H147 / 1000) *($P$125 *$P$126)^2","v":179.87228526168749},{"$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$78) -P147","v":30.720954248366006},{"$f":"C147","v":38.223000000000006},{"$f":"'My Summary'!K11","v":9.5},{"$f":"(N147/1000) * ($P$125*$P$126)^2","v":153.67675505083125},{"$f":"AC147/$L$142","v":4.0838260869565222},{"$f":"S147 *0.8","v":3.2670608695652179},53,50,null,null,null,null,"7      12.65      11.2","7         12.7      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":33.684025344561036},{"$f":"C147/H147","v":2.9687663210402797}]
[3,40.799999999999997,37.944000000000003,{"$f":"C148-(F148-$D$82)","v":34.944000000000003},"B     3",53,41,12.824151415797317,11.324151415797317,179.16127053275048,{"$f":"P239/$L$142","v":5.0643478260869568},4.0514782608695654,3,10.7,29.355346405228758,37.944000000000003,{"$f":"'My Summary'!K12","v":9.1999999999999993},149.48557082217221,{"$f":"AC148/$L$142","v":4.0514782608695654},3.2411826086956523,53,50,null,null,null,null,"8      12.6      11.1","8         12.6      39.5",55.91040000000001,139.77600000000001,10.128695652173914,104.83200000000001,7.5965217391304352,"A#   2",33.797573834591283,2.9587922638888231]
[4,40.6,37.758000000000003,34.758000000000003,"C     4",53,41,12.790222354694487,11.290222354694487,178.68726071345918,5.0373913043478264,4.0299130434782615,4,10.6,28.993143790849679,37.758000000000003,{"$f":"'My Summary'!K13","v":9.1},148.0885094126192,4.0299130434782615,3.2239304347826092,53,50,null,null,null,null,"9      12.57      11.1","9         12.6      39.3",55.612800000000007,139.03200000000001,10.074782608695653,104.274,7.5560869565217388,"B     3",33.874205081557513,2.9520987949159001]
[5,40.299999999999997,37.478999999999999,34.478999999999999,"C#   5",53,41,12.739328763040238,11.239328763040238,177.97624598452217,4.9969565217391301,3.9975652173913043,5,10.6,29.272143790849682,37.478999999999999,{"$f":"'My Summary'!K14","v":9.1},148.0885094126192,3.9975652173913043,3.1980521739130436,53,50,null,null,null,null,"10      12.52      11","10         12.5      39",55.166400000000003,137.916,9.9939130434782601,103.437,7.4954347826086947,"C     4",33.990578091838728,2.941991740470292]
[6,40.1,37.293000000000006,34.293000000000006,"D     6",53,41,12.705399701937408,11.205399701937408,177.50223616523087,4.9700000000000006,3.9760000000000009,6,10.6,29.458143790849675,37.293000000000006,{"$f":"'My Summary'!K15","v":9.1},148.0885094126192,3.9760000000000009,3.180800000000001,53,50,null,null,null,null,"11      12.48      11","11         12.5      38.8",54.868800000000014,137.17200000000003,9.9400000000000013,102.87900000000002,7.455000000000001,"C#   5",34.06912745538682,2.9352087202981352]
[7,39.799999999999997,37.013999999999996,34.013999999999996,"D#   7",53,41,12.654506110283158,11.154506110283158,176.79122143629385,4.9295652173913034,3.9436521739130428,7,10.4,28.640738562091499,37.013999999999996,{"$f":"'My Summary'!K16","v":8.9},145.2943865935132,3.9436521739130428,3.1549217391304345,52,50,null,null,null,null,"12      12.43      10.9","12         12.4      38.5",54.422399999999996,136.05599999999998,9.8591304347826068,102.04199999999999,7.3943478260869551,"D     6",34.188431702283353,2.9249659905669576]
[8,39.5,36.734999999999999,33.734999999999999,"E     8",53,41,12.603612518628912,11.103612518628912,176.08020670735689,4.8891304347826088,3.9113043478260865,8,10.199999999999999,27.823333333333338,36.734999999999999,{"$f":"'My Summary'!K17","v":8.6999999999999993},142.50026377440716,3.9113043478260865,3.1290434782608694,52,50,null,null,null,null,"13      12.22      10.7","13         12.2      38.3",53.975999999999999,134.94,9.7782608695652176,101.205,7.3336956521739127,"D#   7",34.309548165588438,2.9146405402184028]
[9,39.299999999999997,36.548999999999999,33.548999999999999,"F     9",53,41,12.569683457526082,11.069683457526082,175.6061968880656,4.8621739130434776,3.8897391304347826,9,10.199999999999999,28.009333333333338,36.548999999999999,{"$f":"'My Summary'!K18","v":8.6999999999999993},142.50026377440716,3.8897391304347826,3.1117913043478262,52,50,null,null,null,null,"14      12.17      10.7","14         12.2      38",53.678400000000003,134.196,9.7243478260869551,100.64699999999999,7.2932608695652164,"E     8",34.391319755741833,2.9077104545633032]
[10,39,36.270000000000003,33.270000000000003,"F#   10",53,41,12.518789865871835,11.018789865871835,174.89518215912861,4.821739130434783,3.8573913043478263,10,10.199999999999999,28.288333333333334,36.270000000000003,{"$f":"'My Summary'!K19","v":8.6999999999999993},142.50026377440716,3.8573913043478263,3.0859130434782611,52,50,null,null,null,null,"15      12.13      10.6","15         12.1      37.8",53.232000000000006,133.08000000000001,9.6434782608695659,99.81,7.232608695652174,"F     9",34.515549671551788,2.8972448925656669]
[11,38.799999999999997,36.083999999999996,33.083999999999996,"G    11",53,41,12.484860804769003,10.984860804769003,174.42117233983728,4.7947826086956518,3.8358260869565215,11,10.3,29.02253594771242,36.083999999999996,{"$f":"'My Summary'!K20","v":8.8000000000000007},143.89732518396019,3.8358260869565215,3.0686608695652176,52,50,null,null,null,null,"16      12.08      10.6","16         12.1      37.5",52.934399999999997,132.33599999999998,9.5895652173913035,99.251999999999981,7.1921739130434768,"F#   10",34.599436882743056,2.8902204489309584]
[12,38.5,35.805,32.805,"G#  12",53,41,12.433967213114755,10.933967213114755,173.7101576109003,4.7543478260869563,3.8034782608695652,12,10.199999999999999,28.753333333333337,35.805,{"$f":"'My Summary'!K21","v":8.6999999999999993},142.50026377440716,3.8034782608695652,3.0427826086956524,52,50,null,null,null,null,"17      12.03      10.5","17         12      37.2",52.488,131.22,9.5086956521739125,98.414999999999992,7.1315217391304335,"G    11",34.726901865981716,2.8796119039331707]
[13,38.299999999999997,35.619,33.619,"A     13",52,40,12.217623845007452,10.717623845007452,170.68770790294593,4.8723188405797098,3.8978550724637682,13,10.8,32.22854901960784,35.619,{"$f":"'My Summary'!K22","v":9.3000000000000007},150.88263223172524,3.8978550724637682,3.1182840579710147,52,50,null,null,null,null,"18      12      10.5","18         12      37",53.790400000000005,134.476,9.7446376811594195,100.857,7.3084782608695651,"G#  12",34.300861464407909,2.9153786736162424]
[14,38,35.340000000000003,33.340000000000003,"A#   14",52,40,12.166730253353204,10.666730253353204,169.97669317400894,4.8318840579710152,3.8655072463768119,14,10.6,31.411143790849678,35.340000000000003,{"$f":"'My Summary'!K23","v":9.1},148.0885094126192,3.8655072463768119,3.0924057971014496,52,50,null,null,null,null,"19      11.95      10.4","19         11.9      36.7",53.344000000000008,133.36000000000001,9.6637681159420303,100.02000000000001,7.2478260869565219,"A     13",34.427646444123383,2.9046423537055195]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,30.18,24.144000000000002,null,5.5135260804769013]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,28.878000000000004,23.102400000000003,null,5.3947743666169901]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,27.576000000000001,22.0608,null,5.2760226527570788]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,26.46,21.168000000000003,null,5.1742354694485853]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,25.158000000000001,20.126400000000004,null,5.055483755588674]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23.856000000000002,19.084800000000001,null,4.9367320417287628]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,22.740000000000002,18.192000000000004,null,4.8349448584202692]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21.438000000000002,17.150400000000001,null,4.716193144560358]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,20.135999999999999,16.108799999999999,null,4.5974414307004468]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19.020000000000003,15.216000000000003,null,4.4956542473919523]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,17.718,14.1744,null,4.376902533532042]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16.416,13.132800000000001,null,4.2581508196721307]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15.3,12.240000000000002,null,4.1563636363636363]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13.998000000000001,11.198400000000001,null,4.0376119225037259]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.882000000000001,10.305600000000002,null,3.9358247391952315]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.2723206747053286]

{"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"]
[{"$f":"F7","v":50},null,"Standard Action",null,"WRW ->",{"$f":"Compare!C24","v":17},"Action Ratios and Dip"]
[null,"Key Out",122,{"$f":"SQRT(C19^2 + C7^2)","v":130.38404810405297},"DW ->",{"$f":"Compare!L24","v":50},"MAR-SW RO",{"$f":"C46","v":5.4820261437908497},{"$f":"((1/(COS(RADIANS(F89))))) * H9","v":4.9461537224416521},null,{"$f":"C12","v":17}]
[null,"Key In",240,{"$f":"C8","v":240},{"$f":"C9+1.5","v":95},{"$f":"B109","v":5.541601320456218},"DAR Computed ",{"$f":"C47","v":4.924889680012674},null,null,null,{"$f":"C14","v":6}]
[null,"Whip_out",93.5,{"$f":"C9","v":93.5},{"$f":"Generic!H62","v":94.103213409607932},{"$f":"Generic!O5","v":5.0795826410487317},"DAR per dip below ",{"$f":"(A15 - C16) / (H10 - C22)","v":4.924889680012674},{"$f":"(1/H8*F7) -1.6","v":8.5525116801949004},{"$f":"C13","v":10}]
[null,"Whip_in",66.3,{"$f":"C10","v":66.3},null,{"$f":"Generic!O24","v":5.5},"Regulation Dip mm",{"$f":"H47","v":9.9811600449676146},{"$f":"H10/25.4","v":0.39295905688848881}]
[{"$f":"(C15-C16)/(H47-C22)","v":4.924889680012674},"Shank_out",130,{"$f":"SQRT(C21^2 + C11^2)","v":137.56816492197603},null,"Inherent Mechanical Advantage (IMA)",null,null,null,null,{"$f":"K12/K7","v":0.76470588235294112},{"$f":"DEGREES(ATAN(K11))","v":37.405356631408551}]
[{"$f":"(D7*E9*D11)/(D8*D10*A11)","v":21.539002267098475},"Shank_Input",17,{"$f":"K13","v":21.400934559032695},null,null,"56      9.02      7.5",{"$f":"C64","v":9.1207153502235467},{"$f":"H12*C49^2","v":278.17311427775832},null,{"$f":"J9+(L8/2)","v":13}]
[2,"Knuckle Diameter",10,null,null,null,"Key Inertia (est.)",{"$f":"'Key Leads'!H125*10000","v":32.111979097792016},null,"Radial Arm",{"$f":"SQRT(K12^2+K7^2)","v":21.400934559032695},{"$f":"AVERAGE(K13,K16)","v":20.14886057471238}]
[null,"Shank Thickness",6,null,null,null,"Inertia per SW H12",186.30955505371094,{"$f":"'Key Leads'!J189","v":142.36434698034515},null,{"$f":"AVERAGE(C12,K13)","v":19.200467279516346},{"$f":"K16+(K13-L13)/2","v":19.522823582552228}]
[{"$f":"DipCalc!G16","v":45},"Blow Distance",45,null,null,null," Plus Key Inertia",{"$f":"H13+H14","v":218.42153415150295},{"$f":"H13+I14","v":174.47632607813716},"Compute Shank_Input as Radial Arm "]
[{"$f":"K141","v":8.6511557821010658},"Let-Off ",2,null,null,{"$f":"G128","v":19.084734394867095},"Est. Key Leads Req'd",3.1595588583259371,null,null,{"$f":"$C$17-$E$9","v":18.896786590392068}," Convergence"]
[{"$f":"K141","v":8.6511557821010658},"Spread",113,null,null,{"$f":"D11/F16","v":7.2082829174177805},"SW @ C40",{"$f":"'Key Leads'!H185","v":10.444739195231},"Rhodes",{"$f":"((F8*86)-194)+(H12-10)*(44+(( C53-5*8)))","v":274.17331478142535}]
[{"$f":"D150","v":8.0939123278882317},"Key Length (optional)",515,null,null,{"$f":"Generic!X89","v":19.660278368722654},"Inertia @ C40",{"$f":"'Key Leads'!J185","v":145.91942062503006},{"$f":"H20*F71^2","v":237.6596021754668}]
[{"$f":"P148","v":9.8421410271487275},"Capstan Height ",46,null,null,{"$f":"D11/F18","v":6.9972643490558042},"Try Out a S' Weight in Box Below",null,{"$f":"'Key Leads'!H128","v":2.5011724671562497E-3}]
[null,"Whipen Heel Height "," ",null,null,{"$f":"Generic!X76","v":20.09008333445189},"30      9.99      8.5",10]
[{"$f":"E56/A23","v":5.5582230167967479},"Hammer Bore ",45,null,null,{"$f":"D11/F20","v":6.8475656686831385},null,null,{"$f":"((F8*86)-194)+(H20-10)*(44+(C53-5*8))","v":282.57771355923472}]
[{"$f":"(D7*E9*D11) / (C8*D10*F16)","v":5.5582230167967488},"Aftertouch",1.25,null,null,{"$f":"K13","v":21.400934559032695},"Reflected Inertia",{"$f":"C67","v":141.5145785851567},{"$f":"C67","v":141.5145785851567}]
[{"$f":"(C8*D10*F16*E56) / (D7*E9*D11)","v":7.7362854765013136},"Key ratio Front to Back",{"$f":"1/C24","v":1.9672131147540985},{"$f":"1/D24","v":1.8407159732336893},null,{"$f":"D11/F22","v":6.4281381984747306},null,null,{"$f":"(H12/1000)*(D11/1000)^2","v":1.7260953800298063E-4}]
[{"$f":"P148","v":9.8421410271487275},"Key ratio Back / Front",{"$f":"C7/D8","v":0.5083333333333333},{"$f":"D7/D8","v":0.54326686710022065},{"$f":"C15/D43","v":5.1017801663360949},{"$f":"E77","v":0},"Est. Key Leads Req'd",{"$f":"'Key Leads'!E110","v":3.6901345079094434},{"$f":"(H20/1000)*(D11/1000)^2","v":1.8925000000000002E-4}]
[null,"Whip ratio",{"$f":"C9/C10","v":1.4102564102564104},{"$f":"D9/D10","v":1.4102564102564104},null,null,"Relative DW",{"$f":"C46*H20","v":54.820261437908499}]
[{"$f":"AVERAGE(C47,C48,C49)","v":5.2694689851287242},"Shank ratio",{"$f":"C11/C12","v":7.6470588235294121},{"$f":"F23","v":6.4281381984747306},null,null,"DAR Run Up Slope",{"$f":"((C48-C47)+(C50-C48)/2)","v":-2.2444280971267938}]
[null,"Whip Wt.",{"$f":"Compare!C24","v":17},null,{"$f":"C8*D12*D10","v":340531.67070332821},"input",null,{"$f":"(E28*D47 ) / E27","v":43.000000000000007}]
[null,"DW Target",{"$f":"Compare!L24","v":50},null,{"$f":"D7*D9*D11","v":1677080.9107642956},"out"]
[null,null,null,null,{"$f":" E28 / E27","v":4.9248896800126749},"AT","LO","Blow","AR"]
[null,"MAR =",{"$f":"H7","v":5.4820261437908497},null,{"$f":"((C15 - C16) * E27) / E28","v":8.7311600449676128},{"$f":"H47-E30","v":1.2500000000000018},{"$f":"C15-H30","v":2},{"$f":"(E30 * E28) / E27","v":43},{"$f":"H30/E30","v":4.9248896800126749},{"$f":"H30/E30","v":4.9248896800126749}]
[null,"DAR =",{"$f":"H8","v":4.924889680012674},null,{"$f":"(C15  * E27) / E28","v":9.1372605121754091},{"$f":"H47-E31","v":0.84389953279220542},{"$f":"C15-H31","v":0},{"$f":"(E31 * E28) / E27","v":45},{"$f":"H31/E31","v":4.9248896800126749},{"$f":"H31/E31","v":4.9248896800126749}]
[null,"Dip =",{"$f":"H10","v":9.9811600449676146},null,9,{"$f":"(C32 * E28) / E27","v":49.156112100015847},{"$f":"F32 - C15","v":4.1561121000158465},null,{"$f":"F32/C32","v":4.924889680012674}]
[null,"Inertia =",{"$f":"H15","v":218.42153415150295},null,10,{"$f":"(E33 * E28) / E27","v":49.248896800126744},{"$f":"F33 - C15","v":4.2488968001267438},null,{"$f":"F33/E33","v":4.924889680012674}]
[null,"Capstan Chg",{"$f":"Compare!P13","v":0}]
[]
[]
[]
[]
[{"$f":"AVERAGE(D47,D48,D49)","v":8.1794541990902676},null,null,{"$f":"IF(C20<112.5,K16+0.25,C39+0.15)","v":0.15}]
[null,null,"Cos ang",{"$f":"I157","v":7.339326489390583}]
[]
[null,"Show Summary Page"]
[null,{"$f":"D159","v":5.3931494328333125},{"$f":"D159","v":5.3931494328333125},{"$f":"$E$56/C51","v":8.8204506138721559},{"$f":"E56/D43","v":4.8750343811656016},{"$f":"J143","v":3.6492894521640427}]
[null,"ACTION RATIOS ",null,"Δ Dips","AT Min.","Dip Min.","Additional AT","Δ TOT DIPS"]
[null,"& Related Dips","ARs",1,2,3,4,5]
[null,"MAR",{"$f":"C24*C25*C26","v":5.4820261437908497},null,null,null,"Max Dip Possible >",{"$f":"(((D8+6) / (D7)) / D23)*H47","v":10.230689046091804},{"$f":"G72","v":2.3814541027689287}]
[null,"DAR / Max Dip Normal",{"$f":"D24*C25*F23","v":4.924889680012674},{"$f":"$E$56/C47","v":8.7311600449676146},{"$f":"(($D$8*$D$10*$F$22)*$C$16)/(($D$7*$D$9*$D$11))","v":0.40610046720779602},{"$f":"D47+E47","v":9.1372605121754109},{"$f":"IF(C22=0,G47=0,(C22-E47))","v":0.84389953279220398},{"$f":"D47+G47+E47","v":9.9811600449676146}]
[null,"DAR / Avg. Dip Normal",{"$f":"D24*D25*F19","v":5.3609231657717604},{"$f":"$E$56/C48","v":8.0210065823261445},{"$f":"(($D$8*$D$10*$F$20)*$C$16)/(($D$7*$D$9*$D$11))","v":0.38122597898048199},{"$f":"D48+E48","v":8.4022325613066258},{"$f":"C22-E48","v":0.86877402101951806},{"$f":"D48+E48+G48","v":9.2710065823261445}]
[null,"DAR / Min Dip Normal",{"$f":"D24*D25*F17","v":5.5225941096017381},{"$f":"$E$56/C49","v":7.7861959699770411},{"$f":"(($D$8*$D$10*D39)*$C$16)/(($D$7*$D$9*$D$11))","v":2.8463742979606917E-3},7.7890423442750016,{"$f":"C22-E49","v":1.2471536257020392},9.0361959699770402]
[null,null,null,6,{"$f":"(($D$8*$D$10*F20)*$C$16)/(($D$7*$D$9*$D$11))","v":0.38122597898048199},6.3812259789804822,{"$f":"C22-E50","v":0.86877402101951806},7.25,{"$f":"A26*A39","v":43.101380217387074}]
[null,"Sys. Rotate Ratio (per Dip)",{"$f":"F71","v":4.8750343811656016},{"$f":"$E$56/C51","v":8.8204506138721559},{"$f":"(($D$8*$D$10*D39*$C$16)/(($D$7*$D$9*$D$11)))","v":2.8463742979606917E-3},8.8232969881701173,{"$f":"C22-E51","v":1.2471536257020392},10.070450613872156]
[null,"Sys. Rotate Ratio (end stroke)",{"$f":"C54*(D11/D8)","v":4.9566625088450094},{"$f":"$E$56/C52","v":8.675192213161143},{"$f":"(($D$8*$D$10*D39)*$C$16)/(($D$7*$D$9*$D$11))","v":2.8463742979606917E-3},8.6780385874591044,{"$f":"C22-E52","v":1.2471536257020392},9.925192213161143]
[null,"RO Per Layout Configs ",{"$f":"A21","v":5.5582230167967479},{"$f":"$E$56/C53","v":7.7362854765013136},{"$f":"C16/C53","v":0.35982723146517742},8.0961127079664905,{"$f":"C22-E53","v":0.89017276853482263},8.9862854765013136]
[null,{"$f":"G144","v":8.5919116815537713},{"$f":"($E$9/$F$22)*($D$7/$D$10)","v":8.6473422306498176},{"$f":"F75","v":8.5957007876615492},{"$f":"C54^2","v":74.776527653979755},{"$f":"C65","v":129.0714189182055}]
[null,"INERTIA RE STRIKEWEIGHT        ",null,null," IMPACT ON DIP "]
[null,{"$f":"D7*E9","v":12269.557903944282},{"$f":"C11/1000","v":0.13},"Plus Shk I",{"$f":"C15-C16","v":43}," Adjusted Hammer Rise to Let-Off ",null,null,{"$f":"AVERAGE(Generic!BC60,Generic!BC59,Generic!BC58)","v":33.038826112255975}]
[null,{"$f":"D10*F22","v":1418.8819612638677},{"$f":"AVERAGE(C11,D11)/1000","v":0.13378408246098802},{"$f":"((0.004*((C11/1000)^2)/3))","v":2.2533333333333333E-5}]
[{"$f":"C58^2","v":1.8925000000000001E-2},{"$f":"B57/B56","v":0.11564246832461185},{"$f":"D11/1000","v":0.13756816492197604},{"$f":"C59+$D$57","v":1.9514287133631396E-4},{"$f":"E56/C47","v":8.7311600449676146}," Dip mm to Point of Let-Off"]
[{"$f":"C64/1000*A58","v":1.7260953800298063E-4},{"$f":"B56/B57","v":8.6473422306498176},{"$f":"($C$64/1000)*$C$58^2","v":1.7260953800298063E-4},{"$f":"C60+$D$57","v":1.8577754496665981E-4}]
[null,{"$f":"B59^2","v":74.776527653979755},{"$f":"(C64/1000)*C57^2","v":1.6324421163332648E-4},{"$f":"C61+$D$57","v":1.7667342275211128E-4},{"$f":"E48","v":0.38122597898048199}," Additional Key Dip -- Jack Scrubs Knuckle;"]
[{"$f":"D63*(E9/F16 * D7/D10)^2","v":1.4947677047656687E-2},null,{"$f":"(C64/1000)*C56^2","v":1.5414008941877795E-4},{"$f":"C62+$D$57","v":2.1178333333333335E-4},null," mm of Additional Key Travel per Formula*"]
[null,{"$f":"(C66/1000 * C58^2)","v":1.8925000000000002E-4},{"$f":"(C66/1000)*C58^2","v":1.8925000000000002E-4},{"$f":"($C$64/1000 - 0.0016)*$C$58^2","v":1.4232953800298061E-4}]
[null,"MA Hammer Factor*",{"$f":"1/C46","v":0.18241430700447095},{"$f":"($C$66/1000 - 0.0016)*$C$58^2","v":1.5897E-4},{"$f":"G48","v":0.86877402101951806},"Add in Additional Aftertouch**"]
[null,"Balance Strikeweight gm ",{"$f":"F7*C63","v":9.1207153502235467},"ham only"]
[null,"Inertia SW End Rotation",{"$f":"((C59*E54)*10000)","v":129.0714189182055},{"$f":"A59*10000","v":1.7260953800298062},{"$f":"E58+E60+E63","v":9.9811600449676146},"Regulator's Final Dip minimum"]
[null,"Est. Note  S'weight",{"$f":"H20","v":10},"ham only",{"$f":"E65/25.4","v":0.39295905688848881},"Decimal Inches Regulator's Dip"]
[null,"Inertia SW End Rotation",{"$f":"(B62*E54)*10000","v":141.5145785851567},{"$f":"A61*10000","v":149.47677047656688},"*Jack top doesn't quite clear knuckle, hammer near L-O "]
[null,"* based on 50 gms DW",null,null,"**General losses and cycle completion will require more dip"]
[null,"Inertia at key front",{"$f":"(F7/1000 * (C8/1000)^2) * 10000","v":28.8}]
[null,"Rotations",null,null,null,null,{"$f":"F74/F72","v":8.5957007876615492}]
[null,"System Rotations Ratio (Shank & Key)",null,null,null,{"$f":"(F73/F72)*(C11/C8)","v":4.8750343811656016},{"$f":"H47/D8","v":4.158816685403173E-2}]
[null,"Degrees Key Angle Down From Rest (to pt. Of Let-Off)",null,null,{"$f":"D47/D8","v":3.6379833520698394E-2},{"$f":"DEGREES(ATAN(E72))","v":2.0834920824005021},{"$f":"DEGREES(ATAN(G71))","v":2.3814541027689287}]
[null,"Theoretical Angle of Shank Rotation to String ",null,null,{"$f":"C15/D11","v":0.32711056388316628},{"$f":"(C15 * 360) / (6.28 * D11)","v":18.7515609869331}]
[null,"Theoretical Angle of Shank Rotation to Let-Off ",null,null,null,{"$f":"'Unit Circle'!AE11","v":17.909074533776597},{"$f":"(C15/D11)*57.3","v":18.743435310505426}]
[null,"Ratio Key Angle to Shank Angle (end of stroke)",null,null,"Rθ =",{"$f":"F74/F72","v":8.5957007876615492},{"$f":"F75^2","v":73.886072031005384}]
[null,"Hammer Nose Arc Travel to String",null,null,null,{"$f":"D11*RADIANS(F73)","v":45.022824653356906},{"$f":"G75*C62","v":1.398293913186777E-2}]
[null,"Hammer Nose Arc Travel to Let-Off",null,null,null,{"$f":"D11*RADIANS(F74)","v":43},{"$f":"G75*C59","v":1.2753440758126788E-2}]
[]
[]
[null,null,null,null,null,null,{"$f":"(E56/D11)*57.3","v":17.910393741149633}]
[null,null,null,null,null,null,{"$f":"G80/F72","v":8.5963339589532382}]
[]
[]
[null,null,null,"UNDERSTANDING THE READOUTS BELOW IS NOT ESSENTIAL TO YOUR ACTION ANALYSIS"]
[null,null,null,"Read here to Interpret the meaning of the columns below"]
[]
[null,{"$f":"C6","v":"Standard Action"},null,null,null,null,{"$f":"F144","v":17.901179961201667},{"$f":"Generic!BI55","v":2.0834920824005021}]
[null,"Action Ratios (AR)","Key Travel","Ham Travel","Shank Input","Cos Ang. ∆","Shank Ang","Key Ang","Shk/Key RO","Squared","Key Tan","Inertia 1","Inertia 2","Inertia 3"]
[null,{"$f":"Generic!$BB$55","v":4.9566625088450094},{"$f":"Generic!BA55","v":8.7253879623282522},{"$f":"Generic!BC55","v":43.248803387999999},{"$f":"Generic!AJ74","v":18.975598588480793},{"$f":"Generic!BR156","v":5.3147452576192169},{"$f":"(D89/$D$11)*57.3","v":18.014025523549911},{"$f":"DEGREES(ATAN(K89))","v":2.0821159193119456},{"$f":"G89/H89","v":8.6517879991536741},{"$f":"I89^2","v":74.853435582299539},{"$f":"C89/$D$8","v":3.6355783176367715E-2},{"$f":"(J89*$C$59) * 10000","v":129.20416933796594},{"$f":"(((($C$59 *( ($E$9/E109)*($D$7/$D$10))^2))) * 10000)","v":129.0714189182055},{"$f":"L89+$C$69","v":158.00416933796595}]
[null,{"$f":"Generic!$BB$56","v":5.0930335118434957},{"$f":"Generic!BA56","v":8.1322391484903278},{"$f":"Generic!BC56","v":41.417766509586855},{"$f":"Generic!AJ73","v":18.990733999550883},{"$f":"Generic!BR151","v":5.8038533429859323},{"$f":"(D90/$D$11)*57.3","v":17.251360606179098},1.9406865839185214,8.8893079125358589,79.019795163872629,3.3884329785376366E-2,{"$f":"(J90*$C$59) * 10000","v":136.39570336326216},{"$f":"(((($C$59 *( ($E$9/E108)*($D$7/$D$10))^2))) * 10000)","v":133.82868970942812},{"$f":"L90+$C$69","v":165.19570336326217}]
[null,{"$f":"Generic!$BB$57","v":5.1672412335857283},{"$f":"Generic!BA57","v":7.4471411949412047},{"$f":"Generic!BC57","v":38.481175054835084},{"$f":"Generic!AJ72","v":19.008767441862986},{"$f":"Generic!BR146","v":6.3379733165194683},16.02820922916748,1.7773037229257385,9.0182724665553362,81.329238281030072,3.1029754978921686E-2,140.38202245822927,{"$f":"(((($C$59 *( ($E$9/E107)*($D$7/$D$10))^2))) * 10000)","v":138.09791461338554},169.18202245822928]
[null,{"$f":"Generic!$BB$58","v":5.229732966938851},{"$f":"Generic!BA58","v":6.8197250735560715},{"$f":"Generic!BC58","v":35.665341042635667},{"$f":"Generic!AJ71","v":19.030250202036232},{"$f":"Generic!BR141","v":6.9212475552055244},14.855355836883463,1.6276514503008721,9.1268654810201806,83.299673508637738,2.8415521139816966E-2,143.78318160125085,{"$f":"(((($C$59 *( ($E$9/E106)*($D$7/$D$10))^2))) * 10000)","v":141.89440870901592},172.58318160125086]
[null,{"$f":"Generic!$BB$59","v":5.2823221401946014},{"$f":"Generic!BA59","v":6.2451421625791257},{"$f":"Generic!BC59","v":32.988852714054509},{"$f":"Generic!AJ70","v":19.055836937022246},{"$f":"Generic!BR136","v":7.5581996528103073},13.740542818081602,1.4905814974596587,9.2182432436596624,84.976008499277015,2.6021425677413022E-2,146.67669568397562,{"$f":"(((($C$59 *( ($E$9/E105)*($D$7/$D$10))^2))) * 10000)","v":145.24325643494177},175.47669568397563]
[null,{"$f":"Generic!$BB$60","v":5.3265524033887495},{"$f":"Generic!BA60","v":5.7189495705885953},{"$f":"Generic!BC60","v":30.462284580077739},{"$f":"Generic!AJ69","v":19.086304438208121},{"$f":"Generic!BR131","v":8.2537695026927125},12.688174676375425,1.365040313935636,9.2950915418705318,86.398726771753104,2.3828956544119147E-2,149.13244312118056,{"$f":"(((($C$59 *( ($E$9/E104)*($D$7/$D$10))^2))) * 10000)","v":148.17617994219162},177.93244312118057]
[null,{"$f":"Generic!$BB$61","v":5.3637344314258062},{"$f":"Generic!BA61","v":5.2370766121593162},{"$f":"Generic!BC61","v":28.090288144653737},{"$f":"Generic!AJ68","v":19.122573548642539},{"$f":"Generic!BR126","v":9.0133516092354107},11.700188859839441,1.2500615595562294,9.3596901451741275,87.603799613669679,2.1821152550663817E-2,151.21251378621216,{"$f":"(((($C$59 *( ($E$9/E103)*($D$7/$D$10))^2))) * 10000)","v":150.72878403378752},180.01251378621217]
[null,{"$f":"Generic!$BB$62","v":5.3949787596751779},{"$f":"Generic!BA62","v":4.7957939537723497},{"$f":"Generic!BC62","v":25.873206516380471},{"$f":"Generic!AJ67","v":19.165734660293417},{"$f":"Generic!BR121","v":9.8428369250198511},10.776728280336108,1.1447591197387683,9.4139702357604591,88.622835599783841,1.9982474807384791E-2,152.97146709392794,{"$f":"(((($C$59 *( ($E$9/E102)*($D$7/$D$10))^2))) * 10000)","v":152.93829245961516},181.77146709392795]
[null,{"$f":"Generic!$BB$63","v":5.421224718757454},{"$f":"Generic!BA63","v":4.3916852408902045},{"$f":"Generic!BC63","v":23.808312584916262},{"$f":"Generic!AJ66","v":19.217077233425499},{"$f":"Generic!BR116","v":10.748658538214126},9.9166570397260045,1.0483206250744013,9.4595649484833899,89.483369014575558,1.8298688503709186E-2,154.4568298455612,{"$f":"(((($C$59 *( ($E$9/E101)*($D$7/$D$10))^2))) * 10000)","v":154.84180267229641},183.25682984556121]
[null,{"$f":"Generic!$BB$64","v":5.4432656898300635},{"$f":"Generic!BA64","v":4.0216210247128039},{"$f":"Generic!BC64","v":21.890751741318429},{"$f":"Generic!AJ65","v":19.27812377573715},{"$f":"Generic!BR111","v":11.737841564503057},9.1179530924830239,0.96000145215862054,9.4978534375971648,90.209219922076286,1.6756754269636683E-2,155.70971774358864,{"$f":"(((($C$59 *( ($E$9/E100)*($D$7/$D$10))^2))) * 10000)","v":156.47502687166238},184.50971774358865]
[null,{"$f":"Generic!$BB$65","v":5.461770984253592},{"$f":"Generic!BA65","v":3.6827348160188804},{"$f":"Generic!BC65","v":20.114254160832413},{"$f":"Generic!AJ64","v":19.350668685005953},{"$f":"Generic!BR106","v":12.818057630498231},8.3780049262805996,0.87911918009479084,9.5299990217222224,90.820881354026511,1.5344728400078668E-2,156.76550371542035,{"$f":"(((($C$59 *( ($E$9/E99)*($D$7/$D$10))^2))) * 10000)","v":157.87145371644328},185.56550371542036]
[null,{"$f":"Generic!$BB$66","v":5.4773046868457227},{"$f":"Generic!BA66","v":3.3724011031230581},{"$f":"Generic!BC66","v":18.471668368059611},{"$f":"Generic!AJ63","v":19.436822283339961},{"$f":"Generic!BR101","v":13.997684371175101},7.6938338029741038,0.80504847580176675,9.5569820131783167,91.335905200213872,1.4051671263012742E-2,157.65448399692954,{"$f":"(((($C$59 *( ($E$9/E98)*($D$7/$D$10))^2))) * 10000)","v":159.06185162048027},186.45448399692955]
[null,{"$f":"Generic!$BB$67","v":5.4903418072149783},{"$f":"Generic!BA67","v":3.0882151809342773},{"$f":"Generic!BC67","v":16.955356917559431},{"$f":"Generic!AJ62","v":19.539060239156044},{"$f":"Generic!BR96","v":15.285870402770517},7.0622585677956877,0.73721638086177577,9.5796278421542898,91.769269594177658,1.2867563253892822E-2,158.40251227521983,{"$f":"(((($C$59 *( ($E$9/E97)*($D$7/$D$10))^2))) * 10000)","v":160.07403458748098},187.20251227521985]
[null,{"$f":"Generic!$BB$68","v":5.5012820706950789},{"$f":"Generic!BA68","v":2.827974648094111},{"$f":"Generic!BC68","v":15.557486227940359},{"$f":"Generic!AJ61","v":19.660278368722654},{"$f":"Generic!BR91","v":16.6926062750392},6.4800163712773164,0.6750979728941473,9.5986310601666656,92.133718229196248,1.178322770039213E-2,159.03158538038358,{"$f":"(((($C$59 *( ($E$9/E96)*($D$7/$D$10))^2))) * 10000)","v":160.93281942240495},187.83158538038359]
[null,{"$f":"Generic!$BB$69","v":5.5104616571141243},{"$f":"Generic!BA69","v":2.5896624389974776},{"$f":"Generic!BC69","v":14.270235574964245},{"$f":"Generic!AJ60","v":19.803852517133741},{"$f":"Generic!BR86","v":18.228801953140657},5.9438497192225679,0.61821237514025362,9.6145757643141465,92.440067127736953,1.079026016248949E-2,159.56037279883193,{"$f":"(((($C$59 *( ($E$9/E95)*($D$7/$D$10))^2))) * 10000)","v":161.66011465187569},188.36037279883195]
[null,{"$f":"Generic!$BB$70","v":5.5181631672781872},{"$f":"Generic!BA70","v":2.3714312670114759},{"$f":"Generic!BC70","v":13.08594467135457},{"$f":"Generic!AJ59","v":19.973702827548884},{"$f":"Generic!BR81","v":19.906371430068628},5.4505679427641693,0.56611908894925667,9.6279529328019606,92.697477676249875,9.8809636125478158E-3,160.00468795739101,{"$f":"(((($C$59 *( ($E$9/E94)*($D$7/$D$10))^2))) * 10000)","v":162.27509378139166},188.80468795739102]
[null,{"$f":"Generic!$BB$71","v":5.524624067004396},{"$f":"Generic!BA71","v":2.171589364316707},{"$f":"Generic!BC71","v":11.997214865754858},{"$f":"Generic!AJ58","v":20.17436121547604},{"$f":"Generic!BR76","v":21.738325125836361},4.9970893498335611,0.51841462505382652,9.6391751087553086,92.913696777247921,9.0482890179862784E-3,160.37790274869792,{"$f":"(((($C$59 *( ($E$9/E93)*($D$7/$D$10))^2))) * 10000)","v":162.79441697762769},189.17790274869793]
[null,{"$f":"Generic!$BB$72","v":5.5300438289019276},{"$f":"Generic!BA72","v":1.9885874124415075},{"$f":"Generic!BC72","v":10.99697554840421},{"$f":"Generic!AJ57","v":20.411040286507447},{"$f":"Generic!BR71","v":23.738870790021188},4.5804688845049837,0.47472941083905618,9.648588816962647,93.095266158816656,8.2857808851729484E-3,160.69130881937861,{"$f":"(((($C$59 *( ($E$9/E92)*($D$7/$D$10))^2))) * 10000)","v":163.23247510055634},189.49130881937862]
[null,{"$f":"Generic!$BB$73","v":5.5345899641022971},{"$f":"Generic!BA73","v":1.8210065657112424},{"$f":"Generic!BC73","v":10.078524663149832},{"$f":"Generic!AJ56","v":20.689701311384994},{"$f":"Generic!BR66","v":25.923523690219891},4.1979150010907196,0.43472495217704943,9.6564850489213345,93.247703500041268,7.5875273571301772E-3,160.95443020981045,{"$f":"(((($C$59 *( ($E$9/E91)*($D$7/$D$10))^2))) * 10000)","v":163.60163797926279},189.75443020981047]
[null,{"$f":"Generic!$BB$74","v":5.5384031104393099},{"$f":"Generic!BA74","v":1.6675474774794374},{"$f":"Generic!BC74","v":9.2355501360773413},{"$f":"Generic!AJ55","v":21.017118275175061},{"$f":"Generic!BR61","v":28.309226940983411},3.8467985896110055,0.39809122978116868,9.663108106464934,93.375658277228325,6.948114489497656E-3,161.17529235956576,{"$f":"(((($C$59 *( ($E$9/E90)*($D$7/$D$10))^2))) * 10000)","v":163.91249499944738},189.97529235956577]
[null,{"$f":"Generic!$BB$75","v":5.541601320456218},{"$f":"Generic!BA75","v":1.5270202461461335},{"$f":"Generic!BC75","v":8.4621374124067934},{"$f":"Generic!AJ54","v":21.400934559032695},{"$f":"Generic!BR56","v":30.914482906444078},3.5246561150678786,0.36454431139721172,9.6686630537689897,93.483045247317492,6.3625843589422233E-3,161.36065251251205,{"$f":"(((($C$59 *( ($E$9/E89)*($D$7/$D$10))^2))) * 10000)","v":164.17408067611174},190.16065251251206]
[null,"AR","Dip","Blow","Shank Input","Cos Ang. ∆","Shank Ang","Key Ang","Shk/Key RO","Squared","Key Tan","Inertia"]
["Average >>",{"$f":"AVERAGE(B89:B109)","v":5.3955873823233693},4.2210920221091683,22.435815753474401,19.637549590178256,14.718395180047754,9.3449835825259111,1.0075162022557471,9.4149731514771968,88.719466242820388,null,{"$f":"AVERAGE(L89:L109)","v":153.13826080044268},{"$f":"AVERAGE(M89:M109)","v":153.85172608941014},181.93826080044269]
[]
[]
[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":0.99744183807488584},null,null,null,null,"Cos Angles Changing per Stroke",null,null,null,null,null,null,null,null,{"$f":"(E9*Q144)/19.96","v":17.228174915299867},3]
[null,null,"Angle A",null,{"$f":"G128","v":19.084734394867095},{"$f":"((E130^2+E131^2)-(2*E130*E131*C132))","v":364.22708692262313},{"$f":"SQRT(F128)","v":19.084734394867095},{"$f":"H159","v":21.400934559032695},"cosA = (b2 + c2 - a2) / (2bc)",null,null,null,null,null,null,null,null,null,4]
[null,{"$f":" (E130^2 +E131^ 2 - E129^2) / (2*E130*E131)","v":0.99525509434222525},{"$f":"DEGREES(ACOS(B129))","v":5.5837156604554279},"a",{"$f":"K13","v":21.400934559032695},null,"a 2 = b 2 + c 2 - 2 b c cos(A)",null,"a2-b2-c2",{"$f":"C131","v":1.4845613063357286},"A",null,null,null,null,null,null,null,5]
["W Rot Degs",{"$f":"J143","v":3.6492894521640427},{"$f":"C149","v":4.0991543541196993},"b",{"$f":"E9","v":94.103213409607932},null,null,null,null,null,null,null,null,null,null,null,null,null,6]
[null,"Cos angle change deg.",{"$f":"C129-C130","v":1.4845613063357286},"c",{"$f":"C17","v":113},null,null,null,{"$f":"(G128^2 - E130^2 + E131^2) / (2*G128*E131)","v":0.99180699476002465},{"$f":"DEGREES(ACOS(I131))","v":7.339326489390583},"B",null,null,null,null,null,null,null,7]
[null,null,{"$f":"COS(RADIANS(C131))","v":0.99966434222137712},null,null,{"$f":"((E129^2+E131^2)-2*E129*E131*B134)","v":8855.4147740142143},{"$f":"SQRT(F132)","v":94.103213409607932},null,"cosB = (a2 - b2 + c2) / 2ac",null,null,{"$f":"J129+J131+J134","v":179.99999999999997},null,null,null,null,null,null,{"$f":"D49","v":7.7861959699770411}]
[null,null,"Angle B",null,null,null,"b 2 = a 2 + c 2 - 2 a c cos(B)",null,null,null,null,null,null,null,null,null,null,null,9]
[null,{"$f":"(E129^2 - E130^2 + E131^2) / (2*E129*E131)","v":0.90385293253232568},{"$f":"DEGREES(ACOS(B134))","v":25.330767245988675},{"$f":"C129+C134+C137","v":180.00000000000003},null,null,null,null,{"$f":"(G128^2+E130^2-E131^2)/(2*G128*E130)","v":-0.98816451260017724},{"$f":"DEGREES(ACOS(I134))","v":171.17611220427366},"C",{"$f":"L132-J134","v":8.8238877957263071},"Cosine Angle"]
[null,{"$f":"B134*E129","v":19.343297460114094},null,null,null,null,null,null,"cosC = (a2 + b2 - c2) / 2ab",null,null,{"$f":"COS(RADIANS(L134))","v":0.98816451260017724}]
[null,null,"Angle C",null,null,{"$f":"(E130^2 + E129^2) - (2*(E130 * E129 * B137))","v":12769},{"$f":"SQRT(F136)","v":113},null,null,null,null,{"$f":"1/L135","v":1.0119772439193144}]
[null,{"$f":"(E129^2 + E130^2 - E131^2) / (2*E129*E130)","v":-0.85793506822878718},{"$f":"DEGREES(ACOS(B137))","v":149.08551709355592},null,null,null,"c 2 = b 2 + a 2 - 2 b a cos(C)",null,null,null,null,{"$f":"C47*L136","v":4.9838762849859002}]
[null,{"$f":"COS(RADIANS(C138))","v":0.85793506822878707},{"$f":"D134-C137","v":30.914482906444107},"Cosine Ang"]
[null,{"$f":"1/B138","v":1.1655893750380282}]
[null,{"$f":"C47","v":4.924889680012674},{"$f":"B140*B139","v":5.7403990842572075}]
[null,null,null,null,null,null,null,"Rotational RO shk ang to key ang --->>",null,null,{"$f":"J145/E144","v":8.6511557821010658},null,null,null,null,null,"Ki / Dip"]
[null,null,null,null,"θ Key","θKey*Ki/So",null,null,null,null,null,null,null,null,null,null,{"$f":"S132/D8","v":3.2442483208237671E-2}]
[null,"Thus Shk_ang = (AR * K_ang * Ki / So)",null,null,{"$f":"D47/D8","v":3.6379833520698394E-2},{"$f":"E144*(D8/D11)","v":3.6348387729074165},null,"θw = (θsk * Si) / Wo =",null,{"$f":"(C148 * G128) /E9","v":3.6492894521640427},null,null,1,null,"Key ang",{"$f":"$E$144","v":2.0834920824005021},{"$f":"DEGREES(ATAN(Q142))","v":1.858165632070828}]
[null,null,null,null,{"$f":"DEGREES(ATAN(E143))","v":2.0834920824005021},{"$f":"F143*C47","v":17.901179961201667},{"$f":"F144/E144","v":8.5919116815537713}," θw = (Ko * θkey) / Wi =",null,{"$f":"(D7 * E144) / D10","v":4.097347389081758},null,null,2,null,"Whip ang",{"$f":"$J$144","v":4.097347389081758},{"$f":"(D7*Q143) / D10","v":3.6542255981481269}]
[null,"cap rise mm",{"$f":"D24*D47","v":4.7433499637801777},null,null,"θShank",null," θs =(Wo * θw) / SiDar =",null,{"$f":"(E130*J148)/E129","v":18.024614575620895},"angle",null,3,null,"Shk ang",{"$f":"$F$144","v":17.901179961201667},{"$f":"19.49","v":19.489999999999998}]
[null,"whip tan change per WiDar",{"$f":"C145/D10","v":7.154374002685035E-2},null,null,null,null,"shk_o dar x θs_rads = mm",null,{"$f":"D11*RADIANS(J145)","v":43.277413653616478},"mm",null,4,null,"Whip rat",{"$f":"$P$144/$P$143","v":1.9665768944804369},{"$f":"$Q$144/$Q$143","v":1.9665768944804369}]
[null,"whip angle change",{"$f":"DEGREES(ATAN(C146))","v":4.0921819050170134},"degrees",{"$f":"J143","v":3.6492894521640427},null,null,"Pfeiffer θ =",null,null,null,null,5,null,"AR",{"$f":"$P$145/$P$144","v":4.3689680813745788},{"$f":"$R$127/$Q$144","v":4.7145898501807579}]
[null,"Shnk Degrees per end stroke",{"$f":"(E130*C147)/E129","v":17.993955640419358},"θs = (Wo * θw) / SiDar",null,null,null,"profile_rise * 360 / 2π*r",null,{"$f":"(C145*360) / (2*PI()*D10)","v":4.0991543541196993},"degrees",{"$f":"(K149*360) / (2*PI()*G128)","v":20.082591886281318},6,null,"Dip",{"$f":"$E$56/$P$147","v":9.8421410271487275},{"$f":"$E$56/$Q$147","v":9.1206237162605728}]
[null,null,{"$f":"J148","v":4.0991543541196993},null,null,null,null,"cap rise x whip Ro x shk Ro",null,{"$f":"K149*D26","v":43},{"$f":"C145*D25","v":6.6893396925105071},null,7,null,null,null,{"$f":"Q145/Q146","v":9.9106218804371711}]
[null,"Whip_Rot * KeyRO = Key_Rot",{"$f":"C147*D24","v":2.2231468431428056},{"$f":"C148/C150","v":8.0939123278882317},null,null,null,null,null,{"$f":"J148/D10","v":6.1827365823826537E-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":3.5379436312238299},null,null,9]
[null,"Action Rat = (Shk_ang * So) / (Key_ang * Ki)",null,null,{"$f":"(F144*C11) / (E144*D8)","v":4.6539521608416266},null,null,"Si = [So(Z)]  * (D / B - Lo)",null,null,{"$f":"(D11*K153)*(D49/E56)","v":19.084734394867095},null,10]
["Go Top","capstanrise  @ 6mm =",{"$f":"6*D24","v":3.2596012026013241},"mm",{"$f":"(F144*C11) / (E144*D8)","v":4.6539521608416266},null,null,"Z = (KeyRAT * WhipRAT)",null,null,{"$f":"D24*D25","v":0.76614558180800352},null,8.3699999999999992]
[null,"Whip rise tan",{"$f":"C153/C10","v":4.9164422362010927E-2},"tan",{"$f":"6/D8","v":2.5000000000000001E-2},{"$f":"DEGREES(ATAN(E154))","v":1.4320961841646465},null,null,null,null,null,null,9.2899999999999991]
[null,"Whip degrees",{"$f":"DEGREES(ATAN(C154))","v":2.8146475639804489},"degrees",{"$f":"(D7*F154) / C10","v":2.8163272664517942},null,null,null,"B"]
[null,"WhipRot degrees",{"$f":"B165-C155","v":2.769068096474979},null,{"$f":"B165-E155","v":2.7673883940036337},null,null,null,{"$f":"C134","v":25.330767245988675}]
["     ","WhipRotCos  ",{"$f":"COS(RADIANS(C156))","v":0.99883236399844944},null,{"$f":"COS(RADIANS(E156))","v":0.99883377985748212},null,null,null,{"$f":"J131","v":7.339326489390583},"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,{"$f":"(F164^2 + E162^2) - (2  * F164 * E162 * C157)","v":381.92103920635418},{"$f":"SQRT(B159)","v":19.542800188467215},{"$f":"D24*D25*(D11/C159)","v":5.3931494328333125},null,null,null,{"$f":"K13","v":21.400934559032695},{"$f":"E162-F164","v":18.896786590392068},"is Spread Segment",null,null,null,null,1.113]
[null,null,null,null,null,null,null,"a",{"$f":"G128","v":19.084734394867095},"Use this for Knuckle",null,null,null,null,{"$f":"O165-0.05","v":0.99999999999999978}]
[]
[null,null,null,"c",{"$f":"C17","v":113},null,null,{"$f":"C137","v":149.08551709355592},{"$f":"180-H162","v":30.914482906444078},{"$f":"L134","v":8.8238877957263071},"Δ Cosine Angle",null,null,null,{"$f":"O158-0.05","v":1.2}]
[null,null,null,null,null,null,null,"C",{"$f":"COS(RADIANS(I162))","v":0.85793506822878729},{"$f":"J134","v":171.17611220427366},"Δ Angle (flattening out)",null,null,null,{"$f":"O162-0.05","v":1.1499999999999999}]
[null,"A",null,null,null,{"$f":"E9","v":94.103213409607932},null,null,"cosine",{"$f":"COS(RADIANS(J162))","v":0.98816451260017724},{"$f":"1/J164","v":1.0119772439193144},null,null,null,{"$f":"O163-0.05","v":1.0999999999999999}]
[null,{"$f":"C129","v":5.5837156604554279},null,null,null,"b",null,null,null,"Δ cosine",null,null,null,null,{"$f":"O164-0.05","v":1.0499999999999998}]
[null,{"$f":"J129","v":1.4845613063357286},null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"O160-0.05","v":0.94999999999999973}]
[null,"Δ Angle",null,null,null,null,null,null,{"$f":"F164+F18","v":113.76349177833059},null,null,null,null,null,{"$f":"O166-0.05","v":0.89999999999999969}]
[null,{"$f":"COS(RADIANS(B166))","v":0.99966434222137712},null,null,null,null,null,null,{"$f":"F164+H159","v":115.50414796864062},null,null,null,null,null,{"$f":"O167-0.05","v":0.84999999999999964}]
[null,null,null,null,null,"Δ PROOF",{"$f":"I157+B166+J163","v":179.99999999999997},"b + a",{"$f":"F164+I159","v":113},null,null,null,null,null,{"$f":"O168-0.05","v":0.7999999999999996}]
[null,null,null,null,null,null,null,"LIMIT",{"$f":"E162","v":113},null,null,null,null,null,{"$f":"O169-0.05","v":0.74999999999999956}]
[null,null,null,null,null,null,null,"Cos out",{"$f":"F164+I160","v":113.18794780447503},null,null,null,null,null,{"$f":"O170-0.05","v":0.69999999999999951}]
[]
[]
[]
[null,null,null,null,null,null,null,null,{"$f":"J178-I183","v":30.066030142017969},"angle"]
[]
[null,null,null,null,null,null,null,{"$f":"H194","v":17}]
[null,null,null,null,null,null,null,null,null,{"$f":"J194","v":37.405356631408551},"angle"]
[null,null,null,{"$f":"C134","v":25.330767245988675},"CosAng"]
[null,null,null,{"$f":"C148","v":17.993955640419358},"shank ang.",null,null,{"$f":"H197","v":21.400934559032695}]
[null,null,null,{"$f":"D179-D180","v":7.3368116055693164},"diff"]
[null,null,null,{"$f":"I191","v":12.074589385419861}]
[null,null,null,{"$f":"D180","v":17.993955640419358},null,null,null,null,{"$f":"I157","v":7.339326489390583},"angle"]
[null,null,null,{"$f":"D181","v":7.3368116055693164}]
[null,null,null,{"$f":"SUM(D182:D184)","v":37.405356631408537}]
[]
[null,null,null,null,null,null,null,null,{"$f":"I175-I191","v":17.991440756598109}]
[null,null,null,null,null,null,null,null,{"$f":"I201-I183","v":17.991440756598092}]
[]
[]
[null,null,null,null,null,null,null,null,{"$f":"Generic!E47","v":12.074589385419861},"angle"]
[]
[]
[null,null,null,null,null,null,null,{"$f":"C12","v":17},null,{"$f":"Generic!K56","v":37.405356631408551},"angle"]
[]
[]
[null,null,null,null,null,null,null,{"$f":"K13","v":21.400934559032695}]
[]
[]
[]
[null,null,null,null,null,null,null,null,{"$f":"C134","v":25.330767245988675},"angle"]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,"Involute pressure angle A (deg) ="]
[null,null,null,null,null,null,null,null,null,"T*pi/180=tan(A)-A*pi/180"]
[null,null,null,null,null,null,null,null,null,"T = (180 * tanA - piA) / pi"]
[]
[null,null,null,null,null,null,null,null,null,{"$f":"J194","v":37.405356631408551},null,{"$f":"(180*J213 - 3.1416*J212)/3.1416","v":6.4089605393099989}]
[null,null,null,null,null,null,null,null,null,{"$f":"TAN(RADIANS(J212))","v":0.76470588235294112}]
[null,null,null,null,null,null,null,null,null,{"$f":"I201","v":25.330767245988675},null,{"$f":"(180*J215 - 3.1416*J214)/3.1416","v":1.7904117718182653}]
[null,null,null,null,null,null,null,null,null,{"$f":"TAN(RADIANS(J214))","v":0.47335497779079044},null,"`"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"AR = Outs/Ins = B/Dip",{"$f":"(D7*D9*D11)/(D8*D10*K13)","v":4.924889680012674},{"$f":"(D7*D9*D11)/(D8*D10*F16)","v":5.5225941096017381}]
[null,null,{"$f":"E56/D47","v":4.924889680012674},{"$f":"E56/D49","v":5.5225941096017381}]

{"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,{"$f":"(I6*I7*I8) / (I9*I10*I11)","v":4.9566625088450094},null,"Given",null,null,null,null,"A     1",38.299999999999997,{"$f":"(P5*$C$20) + ($C$23*$C$22) - $C$24","v":41.408999999999992},{"$f":"'Key Leads'!H146","v":12.908974068554395},{"$f":"P5-1.6","v":11.308974068554395},8.3840294599018019,{"$f":"Q5-R5","v":2.9249446086525932},{"$f":"((Q5/R5) - 1)*100","v":34.887098413020738},41.3,{"$f":"U5-P5","v":28.391025931445604},null,null,null,null,null,null,null,null,null,null,null,null,"1                  41.3               "]
[null,"K = (Rkws) / (WS)",null,null,null,{"$f":"(F5*I9*I10*I11) / (I7*I8)","v":130.38404810405294},null,"K",{"$f":"'Simple AR Calculator'!D7","v":130.38404810405297},127.1,null,null,"A#   2",38.1,{"$f":"(P6*$C$20) + ($C$23*$C$22) - $C$24","v":41.223000000000013},{"$f":"'Key Leads'!H147","v":12.875045007451567},{"$f":"P6-1.6","v":11.275045007451567},8.3541963993453372,{"$f":"Q6-R6","v":2.9208486081062297},{"$f":"((Q6/R6) - 1)*100","v":34.962651923470659},41.1,{"$f":"U6-P6","v":28.224954992548433},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,{"$f":"(F5*I9*I10*I11) / (I6*I8)","v":94.103213409607918},null,"W",{"$f":"'Simple AR Calculator'!E9","v":94.103213409607932},94,"`",null,"B     3",37.799999999999997,40.944000000000003,{"$f":"'Key Leads'!H148","v":12.824151415797317},11.224151415797317,8.309446808510641,2.9147046072866765,35.07699940146918,40.799999999999997,27.97584858420268,null,null,null,null,null,null,null,null,null,null,null,null,"3                  40.9553282         "]
[null,"S = (Rkws) / (KW)",null,null,null,{"$f":"(F5*I9*I10*I11) / (I6*I7)","v":137.56816492197601},null,"S",{"$f":"'Simple AR Calculator'!D11","v":137.56816492197603},137.6,null,null,"C     4",37.6,40.75800000000001,{"$f":"'Key Leads'!H149","v":12.790222354694487},11.190222354694487,8.2796137479541745,2.910608606740313,35.15391774718357,40.6,27.809777645305516,null,null,null,null,null,null,null,null,null,null,null,null,"4                  40.7738213         "]
[null,"k = (KWS) / (wsR)",null,null,null,{"$f":"(I6*I7*I8) / (I10*I11*F5)","v":240},null,"k",{"$f":"'Simple AR Calculator'!C8","v":240},240,null,null,"C#   5",37.299999999999997,40.478999999999999,{"$f":"'Key Leads'!H150","v":12.739328763040238},11.139328763040238,8.2348641571194783,2.9044646059207597,35.270340232749263,40.299999999999997,27.56067123695976,null,null,null,null,null,null,null,null,null,null,null,null,"5                  40.5862004         "]
[null,"w = (KWS) / (ksR)",null,null,null,{"$f":"(I6*I7*I8) / (I9*I11*F5)","v":66.3},null,"w",{"$f":"'Simple AR Calculator'!D10","v":66.3},65.8,null,null,"D     6",37.1,40.293000000000006,{"$f":"'Key Leads'!H151","v":12.705399701937408},11.105399701937408,8.2050310965630135,2.9003686053743944,35.348660733160699,40.1,27.394600298062592,null,null,null,null,null,null,null,null,null,null,null,null,"6                  40.3924655         "]
[null,"s = (KWS) / (kwR)",null,null,null,{"$f":" (I6*I7*I8) / (I9*I10*F5)","v":21.400934559032695},null,"s",{"$f":"'Simple AR Calculator'!K13","v":21.400934559032695},21.4,null,null,"D#   7",36.799999999999997,40.013999999999996,{"$f":"'Key Leads'!H152","v":12.654506110283158},11.054506110283159,8.1602815057283156,2.894224604554843,35.467215224415582,39.799999999999997,27.145493889716839,null,null,null,null,null,null,null,null,null,null,null,null,"7                  40.1926166         "]
[null,null,null,null,null,null,null,null,null,null,null,null,"E     8",36.5,39.734999999999999,{"$f":"'Key Leads'!H153","v":12.603612518628912},11.003612518628913,8.1155319148936194,2.8880806037352933,35.587077150606603,39.5,26.896387481371086,null,null,null,null,null,null,null,null,null,null,null,null,"8                  39.9866537         "]
[null,"Key Ratio",null,null,null,{"$f":"I9/I6","v":1.8407159732336891},null,null,null,null,null,null,"F     9",36.299999999999997,39.549000000000007,{"$f":"'Key Leads'!H154","v":12.569683457526082},10.969683457526083,8.0856988543371546,2.883984603188928,35.667722173970937,39.299999999999997,26.730316542473915,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",36,39.27000000000001,{"$f":"'Key Leads'!H155","v":12.518789865871835},10.918789865871835,8.0409492635024566,2.8778406023693783,35.78981172573468,39,26.481210134128165,null,null,null,null,null,null,null,null,null,null,null,null,"10                 39.5563859         "]
[null,"Outs (O) = ",null,{"$f":"(I6*I7*I8)","v":1687900.5652495415},null,null,"Blow =",43.5,null,"Blow = ",{"$f":"(D15*H16) / D16","v":43.370796952393832},null,"G    11",35.799999999999997,39.084000000000003,{"$f":"'Key Leads'!H156","v":12.484860804769003},10.884860804769003,8.0111162029459919,2.8737446018230113,35.87196252085603,38.799999999999997,26.315139195230994,null,null,null,null,null,null,null,null,null,null,null,null,"11                 39.332081          "]
[null,"Ins (I) = ",null,{"$f":"(I9*I10*I11)","v":340531.67070332827},null,null,"Dip =",8.75,null,"Blow + LO",{"$f":"K15+2","v":45.370796952393832},null,"G#  12",35.5,38.805000000000007,{"$f":"'Key Leads'!H157","v":12.433967213114755},10.833967213114756,7.9663666121112957,2.8676006010034598,35.996342380776646,38.5,26.066032786885245,null,null,null,null,null,null,null,null,null,null,null,null,"12                 39.1016621         "]
[null,"AR =",null,{"$f":"D15/D16","v":4.9566625088450094},null,null,null,{"$f":"H15/H16","v":4.9714285714285715},null,null,null,null,"A     13",36.299999999999997,37.619,{"$f":"'Key Leads'!H158","v":12.217623845007452},10.617623845007452,8.0856988543371546,2.5319249906702979,31.313619716521824,38.299999999999997,26.082376154992545,null,null,null,null,null,null,null,null,null,null,null,null,"13                 38.8651292         "]
[null,"Inverse",null,{"$f":"1/D17","v":0.20174865612002657},null,null,"% =",{"$f":"((D17/H17) - 1)*100","v":-0.29701850024406173},null,null,null,null,"A#   14",36,37.340000000000003,{"$f":"'Key Leads'!H159","v":12.166730253353204},10.566730253353205,8.0409492635024566,2.5257809898507482,31.411477763143793,38,25.833269746646796,null,null,null,null,null,null,null,null,null,null,null,null,"14                 38.6224823         "]
[null,null,null,null,null,null,null,null,null,null,null,null,"B    15",35.799999999999997,37.153999999999996,{"$f":"'Key Leads'!H160","v":12.132801192250373},10.532801192250373,8.0111162029459919,2.5216849893043811,31.477323826323488,37.799999999999997,25.667198807749624,null,null,null,null,null,null,null,null,null,null,null,null,"15                 38.3737214         "]
[null,"MAR",{"$f":"'Simple AR Calculator'!H7","v":5.4820261437908497},null,null,null,null,null,null,null,null,null,"C    16",35.5,36.875,{"$f":"'Key Leads'!H161","v":12.081907600596125},10.481907600596125,7.9663666121112957,2.5155409884848297,31.577017616292522,37.5,25.418092399403875,null,null,null,null,null,null,null,null,null,null,null,null,"16                 38.1188465         "]
[null,"DAR",{"$f":"'Simple AR Calculator'!H8","v":4.924889680012674},null,null,null,null,null,null,null,null,null,"C#  17",35.200000000000003,36.596000000000004,{"$f":"'Key Leads'!H162","v":12.031014008941879},10.431014008941879,7.9216170212765977,2.5093969876652817,31.677837756171701,37.200000000000003,25.168985991058122,null,null,null,null,null,null,null,null,null,null,null,null,"17                 37.8578576         "]
[null,"Kro",{"$f":"'Simple AR Calculator'!C24","v":0.5083333333333333},null,null,null,null,null,null,null,null,null,"D    18",35,36.409999999999997,{"$f":"'Key Leads'!H163","v":11.997084947839046},10.397084947839046,7.891783960720133,2.5053009871189129,31.745686394718554,37,25.002915052160954,null,null,null,null,null,null,null,null,null,null,null,null,"18                 37.5907547         "]
[null,"WrW",{"$f":"'Simple AR Calculator'!F6","v":17},null,null,null,null,null,null,null,null,null,"D#  19",34.700000000000003,36.131,{"$f":"'Key Leads'!H164","v":11.9461913561848},10.3461913561848,7.8470343698854368,2.4991569862993632,31.848426660272811,36.700000000000003,24.753808643815205,null,null,null,null,null,null,null,null,null,null,null,null,"19                 37.3175378         "]
[null,"BW ",{"$f":"'Key Leads'!P75","v":38},null,null,null,null,null,null,null,null,null,"E     20",34.4,35.852000000000004,{"$f":"'Key Leads'!H165","v":11.895297764530552},10.295297764530552,7.8022847790507388,2.4930129854798135,31.952345448522902,36.4,24.504702235469445,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 =",{"$f":"1/ F3","v":0.18241430700447095},null,"TW = ",55,{"$f":"Compare!L24","v":50},null,null,null,null,"WWR =",16,"Kro =",{"$f":"'Simple AR Calculator'!C24","v":0.5083333333333333},18]
[null,"DF = FW + BF",null,null,null,{"$f":"'Simple AR Calculator'!H7","v":5.4820261437908497},null,"F = ",12,null,null,null,null,null,"ewrw",{"$f":"P2*R2","v":8.1333333333333329},null,null,{"$f":"Archives!#REF!","v":{"$error":"#REF!"}}]
[null,"BF = (TW - F - W)  ",null,{"$f":"J2-I3-I5","v":30},null,{"$f":"I2*F2","v":10.032786885245903},null,"Wwt",{"$f":"P3","v":8.1333333333333329},null,null,null,null,null,"SW = (((BW + FW) - (WW * KR)) / AR) "]
[null,"BW = ",{"$f":"J2-I3","v":38},null,null,null,null,null,8,null,null,null,null,null,"FW = (SW * AR) + (WW * KR) - BW"]
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[null,null,null,null,null,null,null,null,282.66666666666669]
[null,null,null,null,null,null,null,"New Values Below "]
[null,null,null,null,{"$f":"'Simple AR Calculator'!C7","v":122},{"$f":"'Simple AR Calculator'!D7","v":130.38404810405297},{"$f":"Compare!F13","v":0},null,{"$f":"E25+G25","v":122},{"$f":"(F25*I25)/E25","v":130.38404810405297}]
[]
[null,null,null,null,{"$f":"'Simple AR Calculator'!C10","v":66.3},{"$f":"'Simple AR Calculator'!D10","v":66.3},{"$f":"G25 * -1","v":0},null,{"$f":"E27+G27","v":66.3},{"$f":"(F27*I27)/E27","v":66.3}]
[]
[]
[]
[]
[null,null,null,null,null,null,"What IF scenario if CHANGING KNUCKLE DIMENSION "]
[null,null,null,null,null,null,null,null,"plus",null,"minus"]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C12","v":17}]
[]
[]
[]
[null,null,282.66666666666669,null,null,null,null,null,null,null,"New Knuckle Dimension"]
[null,null,null,null,null,{"$f":"'Simple AR Calculator'!E9","v":94.103213409607932},{"$f":"'Simple AR Calculator'!D9","v":93.5},null,null,null,null,{"$f":"Compare!F11","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"L42-J37","v":-17}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(L42>J37,G45-L43,G45+ABS(L43))","v":110.5},{"$f":"F42-L43","v":111.10321340960793}]
[null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C9","v":93.5},null,null,null,null,"New Values Above"]
[]
[]
[]
[]
[]
[null,null,null," What IF scenario for a quick change 2 to 1 KEY RATIO"]
[]
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[]
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[]
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[]
[]
[]
[null,null,null,null,null,null,null,{"$f":"F70","v":128.95908582969173}]
[]
[]
[]
[null,null,null,null,null,null,{"$f":"E70","v":120.66666666666666}," ",null,null,{"$f":"E71","v":241.33333333333334}]
[]
[null,null,null,null,{"$f":"'Simple AR Calculator'!C7","v":122},{"$f":"'Simple AR Calculator'!D7","v":130.38404810405297},null,null,null,"Current Key Ratio =",null,null,null,{"$f":"'Simple AR Calculator'!C23","v":1.9672131147540985}]
[null,null,null,null,{"$f":"'Simple AR Calculator'!C8","v":240},null,{"$f":"E69+E68","v":362}]
[null,null,null,null,{"$f":"G69-E71","v":120.66666666666666},{"$f":"(F68*E70)/E68","v":128.95908582969173},{"$f":"SQRT(F68^2-E68^2)","v":45.999999999999957}]
[null,null,null,null,{"$f":"(G69*2)/3","v":241.33333333333334},{"$f":"E71","v":241.33333333333334}]
[]
[]
[]
[]
[]
[]
[null,null,null,"Use this What IF scenario to try a Custom KEY RATIO"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,{"$f":"I99","v":126.10916128096926}]
[null,null,{"$f":"L100","v":45.999999999999957},null,null,null,null,{"$f":"'Simple AR Calculator'!D7","v":130.38404810405297}]
[]
[]
[]
[null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C7","v":122}," ",null,null,{"$f":"'Simple AR Calculator'!D8","v":240}]
[null,null,null,null,null,null,{"$f":"H99","v":118},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":122},{"$f":"'Simple AR Calculator'!D7","v":130.38404810405297},{"$f":"H97+H96","v":362},{"$f":"J96/H97","v":1.5083333333333333},null,null,{"$f":"K93","v":240},{"$f":"$L$99-N96","v":122},{"$f":"N96/O96","v":1.9672131147540983},{"$f":"N96+O96","v":362}]
[null,null,null,null,null,null,null,{"$f":"'Simple AR Calculator'!C8","v":240},null,null,{"$f":"H97/J96","v":0.66298342541436461},330,null,{"$f":"N96+2","v":242},120,2.0166666666666666,{"$f":"N97+O97","v":362}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,244,118,2.0677966101694913,362]
[null,null,null,null,null,null,null,{"$f":"$L$99-H102","v":118},{"$f":"(I96*H99)/H96","v":126.10916128096926},null,null,{"$f":"H97+H96","v":362},null,246,116,2.1206896551724137,362]
[null,null,null,null,null,null,null,{"$f":"L99-H99","v":244},{"$f":"H100","v":244},{"$f":"+H100+H99","v":362},{"$f":"J100/H100","v":1.4836065573770492},{"$f":"SQRT(I96^2-H96^2)","v":45.999999999999957},null,248,{"$f":"$L$99-N100","v":114},{"$f":"N100/O100","v":2.1754385964912282},362]
[null,null,null,"Current Key Ratio =",null,null,null,{"$f":"'Simple AR Calculator'!C23","v":1.9672131147540985},null,null,{"$f":"H100/J100","v":0.67403314917127077},null,null,250,112,2.2321428571428572,362]
[null,null,null,"Enter the Key Front you want to try -->>",null,null,null,244,null,null,null,null,null,252,110,2.290909090909091,362]
[null,null,null,"New Trial Ratio = ",null,null,null,{"$f":"H100/H99","v":2.0677966101694913}]
[null,null,null,"        Millimeter Change at Balance Rail =",null,null,null,{"$f":"H102-K93","v":4}]
[]
[]
[]
[]
[]
[]
[null,"Use this What IF scenario to try a Spread Change"]
[]
[]
[]
[]
[]
[]
[]
[{"$f":"'Simple AR Calculator'!C9","v":93.5},"sarc",null,null,null,{"$f":"SQRT(G125^2-D124^2)","v":93.47058360789238},null,null,null,null,null,null,null,{"$f":"SQRT(O125^2-L124^2)","v":92.259145888090686}]
[{"$f":"F119","v":93.47058360789238}]
[{"$f":"A119-A120","v":2.9416392107620482E-2},"dif",null,null,"Your Setup",null,null,null,null,null,null,null,"Proposed Change"]
[null,null,null,null,null,null,null,null,null,null,null,null,"if moving whippen rail / center"]
[]
[{"$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":63.456678135559535},null,{"$f":"D125/25.4","v":2.4982944147858088},{"$f":"A125","v":63.456678135559535},null,null,{"$f":"'Simple AR Calculator'!$C$17","v":113},{"$f":"F119","v":93.47058360789238},null,null,null,null,null,null,112,"<< enter proposed spread change here"]
[]
[{"$f":"A124-A125","v":4.3321864440464708E-2},"dif",null,null,null,null,null,null,null,null,null,null,null,null,"IMPACTS","Whip in"]
[{"$f":"A127/25.4","v":1.705585214191524E-3},"\"",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,{"$f":"N119-F119","v":-1.2114377198016939},"mm*"]
[]
[]
[]
[null,null,null,"Carry In These Values",null,null,null,null,null,null,"Changed Values"]
[null,null,null,null,"MAR","DAR",null,null,null,null,null,"MAR","DAR"]
[null,null,null,"Whip Out",{"$f":"'Simple AR Calculator'!C9","v":93.5},{"$f":"'Simple AR Calculator'!E9","v":94.103213409607932},null,null,null,null,"Whip Out",{"$f":"E136+P130","v":92.288562280198306},{"$f":"F136+P130","v":92.891775689806238},null,{"$f":"L136","v":92.288562280198306},{"$f":"M136","v":92.891775689806238}]
[null,null,null,"Whip In",{"$f":"'Simple AR Calculator'!C10","v":66.3},{"$f":"'Simple AR Calculator'!D10","v":66.3},null,null,null,null,"Whip In",{"$f":"E137+P130","v":65.088562280198303},{"$f":"F137+P130","v":65.088562280198303},null,{"$f":"L137","v":65.088562280198303},{"$f":"M137","v":65.088562280198303}]
[]
[]
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[]
[]
[]
[]
[]
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[]
[]
[null,null,null,"Touchweight Perspective"]
[null,null,null,50,"Grams DW"]
[null,null,null,240,"Front Key Input"]
[null,null,null,55,"Touch Distance (mm) In From Very Front of Key"]
[null,null,null,{"$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,{"$f":"(3.5/2)*(F68/(J76))","v":13.382352941176471}]
[null,null,null,null,"Σm = (a x b) - (d x d) = 0"]
[]
[null,null,null,null,null,null,null,null,null,17]
[]
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[]
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[]
[null,null,null,null,null,null,null,null,66.8,"grams force down onto top of jack"]
[]
[null,null,null,null,{"$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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[]
[]
[]
[]
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[]
[]
[]
[]
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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":7.6470588235294121},{"$f":"'Simple AR Calculator'!C25","v":1.4102564102564104},{"$f":"(0.0035 * E6^2)/3","v":1.971666666666667E-5},{"$f":"'Simple AR Calculator'!D11/1000","v":0.13756816492197604},{"$f":"'Simple AR Calculator'!H12","v":9.1207153502235467},{"$f":"'Simple AR Calculator'!E9/1000","v":9.4103213409607936E-2},{"$f":"'Simple AR Calculator'!F16/1000","v":1.9084734394867096E-2},{"$f":"'Simple AR Calculator'!D7/1000","v":0.13038404810405296},{"$f":"'Simple AR Calculator'!D10/1000","v":6.6299999999999998E-2},{"$f":"'Simple AR Calculator'!#REF!","v":{"$error":"#REF!"}},{"$f":"(Z41/1000*$E$5^2) + $D$5","v":2.3336271212121205E-4},{"$f":"'Simple AR Calculator'!H12","v":9.1207153502235467},{"$f":"'Simple AR Calculator'!C46","v":5.4820261437908497},{"$f":"'Simple AR Calculator'!C24","v":0.5083333333333333},{"$f":"'Key Leads'!F60","v":17},0,{"$f":"'Key Leads'!L59","v":1.6}]
[{"$f":"'Key Leads'!M71","v":12},"friction",null,null,{"$f":"'Simple AR Calculator'!C11/1000","v":0.13},null,null,null,null,null,{"$f":"K5^2","v":{"$error":"#REF!"}},null,null,null,{"$f":"1/O5","v":1.9672131147540985},null,null,{"$f":"1/R5","v":0.625}]
[null,null,null,null,null,null,null,null,null,null,{"$f":"K6*L5*10000","v":{"$error":"#REF!"}}]
[null,null,null,"BW = (SW * AR) + (WW * KR) - FW",null,null,null,null,{"$f":"(M5 * N5) + (P5 * O5) -W41","v":20.641666666666666},null,"Inertia =","Isw*(Wo/Si * Ko/Wi)^2"]
[null,null,null,null,null,null,null,"BW =",{"$f":"'Key Leads'!J86","v":37.999999999999993},null,"Isw = (Ham * So^2) + SS"]
[null,null,null,"FW = (SW * AR) + (WW * KR) - BW"]
[null,"Wf = (((((SW * Sro * Wro) + WW) * KR + F) - DW) * KR^ -1) / 14.2",null,null,null,null,null,null,null,null,null,"SW = (((BW + FW) - (WW * KR)) / AR) "]
[null,"THE CONCERT GRAND KEYS WS"]
[]
[]
[null,null,10]
[null,2,null,null,null,null,null,3.4747688585500724]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"R25-J29","v":290}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Comment",null,null,{"$f":"R26-J29","v":252}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"R20-R21","v":38}]
[null,"Enter Front length of Key # 1 Key Input here -->> ",null,null,null,null,null,324,324,{"$f":"H23","v":324},"Summary White Keys",null,null,null,null,null,null,{"$f":"R22/36","v":1.0555555555555556}]
[null,"Enter Rear length of Key # 1 Key Output MAR-type here -->> ",null,null,null,null,null,171,{"$f":"Compare!E26","v":122},null,"Note #","SW","Hammer","Inertia","Leads "]
[null,"Enter Front length of key # 88 Key Input here -->>",null,null,null,null,null,282,{"$f":"C92","v":282.80769230769164},{"$f":"H25","v":282},1,{"$f":"Y41","v":12.889090909090905},{"$f":"Z41","v":11.289090909090906},{"$f":"AA41","v":328.3337368238594},{"$f":"AB41","v":4.1767640769779026},null,null,{"$f":"H26","v":290}]
[null,"Key # 2 (Sharp) Key Input MAR  type dimension mm --> ",null,null,null,null,"see draw",290,{"$f":"H26+ABS(I23-H23)","v":290},{"$f":"J23-J25","v":42},20,{"$f":"Y52","v":11.831087928464978},{"$f":"Z52","v":10.231087928464978},{"$f":"AA52","v":285.08811576469856},{"$f":"AB52","v":3.3499643620812547},null,null,{"$f":"H28","v":252}]
[null,"Key # 2 (Sharp) Key Output MAR-type dimension mm -->> ",null,null,null,null,null,138,{"$f":"H27-(ABS(I23-H23))","v":138},{"$f":"J26/52","v":0.80769230769230771},27,{"$f":"Y56","v":11.429776453055139},{"$f":"Z56","v":9.829776453055139},{"$f":"AA56","v":269.802198950741},{"$f":"AB56","v":3.0363506771204536}]
[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":10.554187779433681},{"$f":"Z64","v":8.9541877794336813},{"$f":"AA64","v":238.9230512098934},{"$f":"AB64","v":2.3521026372059892}]
[null,null,null,null,null,null,null,{"$f":"H26/H27","v":2.1014492753623188},{"$f":"I26/I27","v":2.1014492753623188},null,49,{"$f":"Y69","v":9.933979135618479},{"$f":"Z69","v":8.3339791356184794},{"$f":"AA69","v":218.97842133689105},{"$f":"AB69","v":1.867426942266571}]
[null,null,null,null,null,null,null,{"$f":"1/H29","v":0.47586206896551725},{"$f":"1/I29","v":0.47586206896551725},null,61,{"$f":"Y76","v":8.8394932935916533},{"$f":"Z76","v":7.2394932935916536},{"$f":"AA76","v":187.6141922549636},{"$f":"AB76","v":1.0121168923734856},null,null,{"$f":"R25-R26","v":38}]
[null,null,null,null,null,null,null,{"$f":"H23/H24","v":1.8947368421052631},{"$f":"I23/I24","v":2.6557377049180326},null,88,{"$f":"Y92","v":6.139761549925483},{"$f":"Z92","v":4.5397615499254833},{"$f":"AA92","v":119.17984197208811},{"$f":"AB92","v":-1.0976478973627946},null,null,{"$f":"R30/36","v":1.0555555555555556}]
[null,null,null,null,null,null,null,null,0,null,"Averages",{"$f":"AVERAGE(L25:L31)","v":10.231053864168617},{"$f":"AVERAGE(M25:M31)","v":8.6310538641686172},{"$f":"AVERAGE(N25:N31)","v":235.41707975901929},{"$f":"AVERAGE(O25:O31)","v":2.0995825272375521},null,null,null,null,null,{"$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,{"$f":"'Simple AR Calculator'!C23","v":1.9672131147540985},{"$f":"'Simple AR Calculator'!C24","v":0.5083333333333333},null,"Enter Lead gm -->>",null,13.8,null,{"$f":"'Simple AR Calculator'!A6","v":50},null,null,{"$f":"N5","v":5.4820261437908497}]
[null,{"$f":"'Simple AR Calculator'!D47","v":8.7311600449676146},{"$f":"'Simple AR Calculator'!F74","v":17.909074533776597},1.8947368421052631,{"$f":"1/D38","v":0.52777777777777779},null,null,null,"LEADS",null,null,"LEADS"]
[null,"WHITE KEYS",null,null,null,null,null,null,{"$f":"$C$41/2","v":162},{"$f":"$C$41/C36","v":202.5},{"$f":"$C$41/C37","v":243.60902255639095},"Respective Positions",null,null,null,null,null,null,null,null,null,null,"why prorata?"]
[null,"Note","F mm","R mm","SW","HAM","Inertia","DW Tar.","Center","Fr. 3rd","Fr. 4TH","Ctr mm","3rd mm","4th mm","Proof","Tangent","Key Ang.","KSRO","RO^2","Note","FW Max","Adj FWM","BW","DW Tar.","SW","HAM","INERT","LEADS",null,"Isw","Note","Front mm","Rear mm","Proof","Tangent","Key Ang.","KSRO","RO^2","FW Max","FW Adj","BW","DW Tar.","SW","HAM","INERT","LEADS",null,"Isw",null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$C$41/3","v":108}]
[{"$f":"C41/D41","v":1.9672131147540985},"A     1",324,{"$f":"IF($I$35<>0,C41*$E$37,C41*$E$38)","v":164.7},{"$f":"((((W41 + U41) - ($I$36 * $O$5)) / $N$5))","v":12.889090909090909},{"$f":"E41-1.6","v":11.289090909090909},{"$f":"($AD41*$S41) * 10000","v":328.3337368238594},50,{"$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":1.9672131147540985},{"$f":"$B$38/C41","v":2.6948024830146959E-2},{"$f":"DEGREES(ATAN(P41))","v":1.5436345008921069},{"$f":"$C$38/Q41","v":11.601887962096257},{"$f":"R41^2","v":134.60380428503402},"A     1",41.3,{"$f":"U41 - (X41 - $A$5)","v":41.3},{"$f":"H41-$A$6","v":38},{"$f":"H41","v":50},{"$f":"(((($I$9 + U41) - ($I$36 * $O$5)) / $N$5))","v":12.889090909090905},{"$f":"Y41-1.6","v":11.289090909090906},{"$f":"($AD41*$S41) * 10000","v":328.3337368238594},{"$f":"(((((Y41 * $B$5 * $C$5) + $P$5) * $O$5 +$Q$5) - X41) * $O$6) / $I$37","v":4.1767640769779026},{"$f":"(((((Y41 * $B$5 * $C$5) + $P$5) * $O$5 +$Q$5) - X41) * $R$5) / $I$37","v":3.3971014492753602},{"$f":"(Y41/1000 * $E$5^2)","v":2.439260454545454E-4},"A#   2",{"$f":"I25","v":282.80769230769164},{"$f":"AF41*$I$30","v":134.57745358090153},{"$f":"AF41/AG41","v":2.1014492753623188},{"$f":"$B$38/AF41","v":3.0873134933926086E-2},{"$f":"DEGREES(ATAN(AI41))","v":1.7683386438521349},{"$f":"$C$38/AJ41","v":10.127627191793767},{"$f":"AK41^2","v":102.56883253596051},41.1,{"$f":"AM41 - (AP41 - $A$5)","v":41.1},{"$f":"H104-$A$6","v":38},{"$f":"H104","v":50},{"$f":"(((($I$9 + AM41) - ($P$5 * $O$5)) / $N$5))","v":12.852608047690014},{"$f":"AQ41-1.6","v":11.252608047690014},{"$f":"(AV41*AL41) * 10000","v":249.48392272196213},{"$f":"((((((AQ41 * $B$5 * $C$5) + $P$5) * $H$30 +$Q$5) - AP41) *$H$29))  / $I$37","v":3.661890841227045},{"$f":"(((((((AQ41*$B$5*$C$5)+$P$5)*$H$30+$Q$5)-AP41)*$H$29))*$R$6)/ $I$37","v":2.2886817757669031},{"$f":"(AQ41/1000 * $E$5^2)","v":2.4323560730253352E-4},null,null,41.3,null,"A     1",null,53,50,null,41.1,null,"A#   2",null,"Note","Center"]
[null,"B     3",{"$f":"C41-$J$27","v":323.19230769230768},{"$f":"IF($I$35<>0,C42*$E$37,C42*$E$38)","v":164.28942307692307},{"$f":"((((W42 + U42) - ($I$36 * $O$5)) / $N$5))","v":12.761400894187778},{"$f":"E42-1.6","v":11.161400894187778},{"$f":"($AD42*$S42) * 10000","v":323.463019978489},50,{"$f":"(V42*$C$35) / $I$37","v":5.8840579710144922},{"$f":"(V42*$C$36)/$I$37","v":4.7072463768115949},{"$f":"(V42*$C$37) / $I$37","v":3.9128985507246377},{"$f":"$C$41/2","v":162},{"$f":"$C$41*(1/$B$36)","v":202.5},{"$f":"$C$41*(1/$B$37)","v":243},1.9672131147540983,{"$f":"$B$38/C42","v":2.7015370840075922E-2},{"$f":"DEGREES(ATAN(P42))","v":1.5474903359323804},{"$f":"$C$38/Q42","v":11.572979887455114},{"$f":"R42^2","v":133.93386347544057},"B     3",40.6,{"$f":"U42 - (X42 - $A$5)","v":40.6},{"$f":"H42-$A$6","v":38},{"$f":"H42","v":50},{"$f":"(((($I$9 + U42) - ($I$36 * $O$5)) / $N$5))","v":12.761400894187778},{"$f":"Y42-1.6","v":11.161400894187778},{"$f":"(AD42*S42) * 10000","v":323.463019978489},4.0769779044903771,3.3159420289855066,{"$f":"(Y42/1000 * $E$5^2)","v":2.4150951192250373E-4},"C#   5",{"$f":"AF41-$R$23","v":281.7521367521361},{"$f":"AF42*$U$33","v":134.07515473032683},{"$f":"AF42/AG42","v":2.1014492753623188},{"$f":"$B$38/AF42","v":3.098879797546529E-2},{"$f":"DEGREES(ATAN(AI42))","v":1.7749593138122377},{"$f":"$C$38/AJ42","v":10.089850733148181},{"$f":"AK42^2","v":101.80508781721088},40.299999999999997,{"$f":"AM42 - (AP42 - $A$5)","v":40.299999999999997},{"$f":"H105-$A$6","v":38},{"$f":"H105","v":50},{"$f":"(((($I$9 + AM42) - ($P$5 * $O$5)) / $N$5))","v":12.706676602086436},{"$f":"AQ42-1.6","v":11.106676602086436},{"$f":"(AV42*AL42) * 10000","v":244.81461894915336},3.5478495012412998,2.2174059382758124,{"$f":"(AQ42/1000 * $E$5^2)","v":2.4047385469448581E-4},null,null,40.6,null,"C     4",null,53,50,null,40.299999999999997,null,"C#   5",null,"A     1",{"$f":"(((((E41 * $B$5 * $C$5) + $P$5) * $O$5 +$Q$5) - H41) * $C$34) / $I$37","v":6.3695652173913038},6.9870000000000001]
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[121,"D#   43",272.05555555555577,128.05373563218402,10.627153502235471,9.0271535022354712,180.9538569986623,50,4.1884057971014492,3.3507246376811595,2.7852898550724636,136.02777777777789,170.03472222222234,204.55304928989153,null,null,50,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,48,50,null,null,null,null,null,null,null,1.4110000000000003]
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[128,"G#    60",264.66666666666697,124.57586206896566,9.2408047690014907,7.6408047690014911,148.69746190867377,50,3.0869565217391304,2.4695652173913047,2.052826086956522,132.33333333333348,165.41666666666686,198.99749373433605,null,null,48,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,47,50,null,null,null,null,null,null,null,0.629]
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[130,"C#     65",262.55555555555588,123.58218390804613,8.7482861400894194,7.1482861400894198,138.47490564998589,50,2.6956521739130435,2.1565217391304352,1.7926086956521741,131.27777777777794,164.09722222222243,197.41019214703448,null,null,48]
[131,"D#     67",261.50000000000034,123.08534482758637,8.5293889716840532,6.9293889716840535,133.89705918740847,50,2.5217391304347823,2.017391304347826,1.6769565217391302,130.75000000000017,163.43750000000023,196.6165413533837,null,null,48]
[132,"F#     70",260.4444444444448,122.5885057471266,8.1828017883755582,6.5828017883755585,127.39290478876583,50,2.2463768115942027,1.7971014492753623,1.4938405797101451,130.2222222222224,162.777777777778,195.82289055973291,null,null,48]
[133,"G#    72",259.38888888888926,122.09166666666684,7.9639046199701937,6.3639046199701941,122.95446263947787,50,2.0724637681159419,1.6579710144927537,1.3781884057971014,129.69444444444463,162.11805555555577,195.02923976608213,null,null,47]
[134,"A#     74",258.33333333333371,121.59482758620707,7.7267660208643818,6.1267660208643822,118.29758118846001,50,1.8840579710144927,1.5072463768115942,1.2528985507246375,129.16666666666686,161.45833333333357,194.23558897243134,null,null,47]
[135,"C#     77",257.27777777777817,121.09798850574731,7.3619374068554393,5.7619374068554396,111.76730377386984,50,1.5942028985507246,1.2753623188405798,1.0601449275362318,128.63888888888908,160.79861111111137,193.44193817878056,null,null,47]
[136,"D#     79",256.22222222222263,120.60114942528755,7.1065573770491808,5.5065573770491802,106.9820792388946,50,1.3913043478260869,1.1130434782608694,0.92521739130434788,128.11111111111131,160.13888888888914,192.64828738512978,null,null,47]
[137,"F#     82",255.16666666666708,120.10431034482778,6.7417287630402392,5.1417287630402395,100.63211257090211,50,1.1014492753623186,0.88115942028985506,0.73246376811594205,127.58333333333354,159.47916666666691,191.85463659147899,null,null,47]
[138,"G#    84",254.11111111111154,119.60747126436802,6.5045901639344255,4.9045901639344258,96.26825489984833,50,0.91304347826086951,0.73043478260869565,0.60717391304347823,127.05555555555577,158.81944444444471,191.06098579782821,null,null,46]
[139,"A#     86",253.055555555556,119.11063218390825,6.2674515648286144,4.6674515648286139,91.96787686867188,50,0.72463768115942029,0.57971014492753625,0.48188405797101447,126.527777777778,158.15972222222251,190.26733500417743]
[]
[null,"Averages",{"$f":"AVERAGE(C104:C139)","v":271.527777777778},{"$f":"AVERAGE(D104:D139)","v":127.80531609195411},{"$f":"AVERAGE(E104:E139)","v":10.152876304023843},{"$f":"AVERAGE(F104:F139)","v":8.5528763040238474},{"$f":"AVERAGE(G104:G139)","v":175.17223678326934},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$150","v":50},11.340729528535981,9.7407295285359812,38,32.811842431761789,40.799999999999997,{"$f":"(S42*U153) * 10000","v":287.45328608320864},{"$f":"(((((E153 * $B$5 * $C$5) + $G$149) * $O$5 +$G$150) - D153) * $B$148) / $J$149","v":4.755339482864029},{"$f":"(((((E153 * $B$5 * $C$5) + $G$149) * $O$5 +$G$150) - D153) * $B$149) / $J$149","v":3.8042715862912235},{"$f":"(((((E153 * $B$5 * $C$5) + $G$149) * $O$5 +$G$150) - D153) * $B$150) / $J$149","v":3.1623007561045799},{"$f":"$C$41/2","v":162},{"$f":"$C$41*(1/$B$36)","v":202.5},{"$f":"$C$41*(1/$B$37)","v":243},null,null,null,null,2.1462330632754346E-4]
[null,"C     4",1.6,50,11.265431761786601,9.6654317617866017,38,32.399058105872626,40.6,284.11997745466056,4.6955156675177721,3.7564125340142178,3.1225179188993186,162,202.5,243,null,null,null,null,2.1319829609181144E-4]
[null,"D     6",1.6,50,11.144955334987593,9.5449553349875931,38,31.738603184449957,40.1,279.67552623737896,4.5997975629637615,3.6798380503710097,3.0588653793709017,162,202.5,243,null,null,null,null,2.1091827971464022E-4]
[null,"E     8",1.6,50,11.069657568238213,9.4696575682382136,38,31.325818858560794,39.5,276.39300524830963,4.5399737476175064,3.6319789980940054,3.0190825421656418,162,202.5,243,null,null,null,null,2.094932694789082E-4]
[null,"F     9",1.6,50,10.994359801488834,9.3943598014888341,38,30.913034532671631,39.299999999999997,273.13291398168411,4.4801499322712504,3.5841199458170006,2.9792997049603818,162,202.5,243,null,null,null,null,2.0806825924317619E-4]
[null,"G    11",1.6,50,10.919062034739452,9.3190620347394528,38,30.500250206782454,38.799999999999997,269.89518095195825,4.4203261169249934,3.5362608935399948,2.9395168677551204,162,202.5,243,null,null,null,null,2.0664324900744415E-4]
[null,"A     13",1.6,50,10.873883374689825,9.2738833746898255,38,30.252579611248962,38.299999999999997,267.42045119829169,4.3844318277172407,3.5075454621737929,2.9156471654319653,162,202.5,243,null,null,null,null,2.0578824286600494E-4]
[null,"B    15",1.6,50,10.798585607940446,9.198585607940446,38,29.839795285359799,37.799999999999997,264.22346821552611,4.3246080123709847,3.4596864098967881,2.8758643282267053,162,202.5,243,null,null,null,null,2.0436323263027295E-4]
[null,"C    16",1.6,50,10.708228287841193,9.1082282878411931,38,29.344454094292814,37.5,260.68202748658422,4.2528194339554801,3.4022555471643847,2.8281249235803947,162,202.5,243,null,null,null,null,2.0265322034739456E-4]
[null,"D    18",1.6,50,10.663049627791564,9.063049627791564,38,29.096783498759308,37,258.26063530361836,4.2169251447477256,3.3735401157981806,2.8042552212572378,162,202.5,243,null,null,null,null,2.0179821420595538E-4]
[null,"E     20",1.6,50,10.572692307692309,8.9726923076923093,38,28.601442307692309,36.4,254.76515319508681,4.1451365663322184,3.3161092530657754,2.7565158166109254,162,202.5,243,null,null,null,null,2.0008820192307696E-4]
[null,"F     21",1.6,50,10.482334987593052,8.8823349875930528,38,28.106101116625311,36.1,251.29532855188316,4.0733479879167138,3.2586783903333711,2.7087764119646147,162,202.5,243,null,null,null,null,1.9837818964019851E-4]
[null,"G    23",1.6,50,10.391977667493796,8.7919776674937964,38,27.610759925558312,35.5,247.85107559135545,4.0015594095012021,3.201247527600962,2.6610370073182996,162,202.5,243,null,null,null,null,1.966681773573201E-4]
[null,"A     25",1.6,50,10.346799007444169,8.746799007444169,38,27.36308933002482,34.9,245.50428787001039,3.9656651202934499,3.1725320962347601,2.6371673049951445,162,202.5,243,null,null,null,null,1.9581317121588091E-4]
[null,"B     27",1.6,50,10.241382133995037,8.6413821339950374,38,26.785191273779986,34.299999999999997,241.74990923012439,3.8819117788086936,3.105529423046955,2.5814713329077814,162,202.5,243,null,null,null,null,1.9381815688585609E-4]
[null,"C     28",1.6,50,10.151024813895784,8.5510248138957845,38,26.289850082713002,34,238.37818090275056,3.8101232003931886,3.0480985603145507,2.5337319282614703,162,202.5,243,null,null,null,null,1.9210814460297773E-4]
[null,"D      30",1.6,50,10.105846153846155,8.5058461538461554,38,26.042179487179496,33.299999999999997,236.08712926267296,3.7742289111854341,3.0193831289483475,2.5098622259383139,162,202.5,243,null,null,null,null,1.9125313846153849E-4]
[null,"E      32",1.6,50,10.000429280397023,8.4004292803970237,38,25.464281430934662,32.700000000000003,232.41032179550334,3.6904755697006753,2.9523804557605406,2.4541662538509494,162,202.5,243,null,null,null,null,1.8925812413151367E-4]
[null,"F      33",1.6,50,9.8950124069478917,8.2950124069478921,38,24.886383374689828,32.4,228.76224226836143,3.6067222282159168,2.8853777825727338,2.398470281763585,162,202.5,243,null,null,null,null,1.8726310980148885E-4]
[null,"G     35",1.6,50,9.8046550868486353,8.2046550868486356,38,24.391042183622829,31.7,225.48913278230688,3.53493364980041,2.8279469198403282,2.350730877117273,162,202.5,243,null,null,null,null,1.8555309751861043E-4]
[null,"A      37",1.6,50,9.7444168734491328,8.1444168734491331,38,24.060814722911502,31,222.92997931452379,3.4870745975234061,2.7896596780187251,2.318904607353065,162,202.5,243,null,null,null,null,1.8441308933002485E-4]
[null,"B     39",1.6,50,9.6390000000000011,8.0390000000000015,38,23.482916666666675,30.4,219.36024606784659,3.4033212560386494,2.7226570048309195,2.2632086352657019,162,202.5,243,null,null,null,null,1.8241807500000005E-4]
[null,"C     40",1.6,50,9.5185235732009943,7.9185235732009946,38,22.822461745244013,30,215.47794511995198,3.3076031514846416,2.6460825211877133,2.1995560957372864,162,202.5,243,null,null,null,null,1.8013805862282883E-4]
[null,"D     42",1.6,50,9.45828535980149,7.8582853598014903,38,22.492234284532678,29.3,212.98394884845899,3.2597440992076354,2.6077952793661083,2.1677298259730775,162,202.5,243,null,null,null,null,1.7899805043424319E-4]
[null,"E     44",1.6,50,9.3378089330024814,7.7378089330024817,38,21.831779363110009,28.5,209.15804579459646,3.1640259946536231,2.5312207957228989,2.1040772864446597,162,202.5,243,null,null,null,null,1.7671803405707199E-4]
[null,"F     45",1.6,50,9.2022729528535994,7.6022729528535997,38,21.088767576509518,28.1,205.02824964103326,3.0563431270303658,2.4450745016242927,2.0324681794751935,162,202.5,243,null,null,null,null,1.7415301563275437E-4]
[null,"G     47",1.6,50,9.0817965260545908,7.4817965260545911,38,20.428312655086849,27.3,201.26729040874599,2.9606250224763557,2.3685000179810847,1.9688156399467767,162,202.5,243,null,null,null,null,1.7187299925558311E-4]
[null,"A      49",1.6,50,9.0064987593052113,7.4064987593052116,38,20.015528329197686,26.4,198.53362415609044,2.9008012071300984,2.320640965704079,1.9290328027415156,162,202.5,243,null,null,null,null,1.7044798901985113E-4]
[null,"B     51",1.6,50,8.8709627791563275,7.2709627791563278,38,19.272516542597188,25.6,194.49984108632043,2.7931183395068406,2.2344946716054728,1.8574236957720494,162,202.5,243,null,null,null,null,1.678829705955335E-4]
[null,"C     52",1.6,50,8.7354267990074455,7.1354267990074458,38,18.529504755996697,25.1,190.50078870062811,2.6854354718835793,2.1483483775068635,1.7858145888025803,162,202.5,243,null,null,null,null,1.6531795217121593E-4]
[null,"D      54",1.6,50,8.660129032258066,7.0601290322580663,38,18.116720430107534,24.2,187.84293814025534,2.6256116565373238,2.1004893252298591,1.7460317515973203,162,202.5,243,null,null,null,null,1.6389294193548391E-4]
[null,"E      56",1.6,50,8.509533498759307,6.9095334987593073,38,{"$f":"((E184*$N$5) + ($G$149*$O$5)) -G184 +$J$150","v":17.291151778329208},23.3,{"$f":"(S73*U184) * 10000","v":183.58102632227499},2.5059640258448126,2.0047712206758503,1.6664660771868005,162,202.5,243,null,null,null,null,{"$f":"((E184/1000)*$E$5^2)","v":1.6104292146401991E-4}]
[null,"F      57",1.6,50,8.3589379652605462,6.7589379652605466,38,16.465583126550868,22.8,179.3569919143406,2.3863163951523019,1.9090531161218414,1.5869004027762807,162,202.5,243,null,null,null,null,1.5819290099255582E-4]
[null,"G      59",1.6,50,8.1932828784119103,6.5932828784119106,38,15.557457609594707,21.8,174.84931251918312,2.2547040013905373,1.8037632011124296,1.4993781609247072,162,202.5,243,null,null,null,null,1.5505787847394542E-4]
[null,"A       61",1.6,50,8.1029255583126556,6.502925558312656,38,15.062116418527708,20.8,171.98087978946054,2.1829154229750301,1.7463323383800242,1.451638756278395,162,202.5,243,null,null,null,null,1.53347866191067E-4]
[null,"B       63",1.6,50,7.9372704714640214,6.3372704714640218,38,14.153990901571554,19.7,167.54650257926937,2.0513030292132677,1.641042423370614,1.3641165144268228,162,202.5,243,null,null,null,null,1.5021284367245662E-4]
[null,"C       64",1.6,50,7.7565558312655085,6.1565558312655089,38,13.16330851943755,19.100000000000001,162.83676896147244,1.9077258723822546,1.5261806979058037,1.2686377051341993,162,202.5,243,null,null,null,null,1.4679281910669976E-4]
[null,"D       66",1.6,50,{"$f":"F190+C190","v":7.6661985111662538},6.0661985111662542,38,12.667967328370558,18,160.05765214106577,1.8359372939667484,1.468749835173399,1.2208983004878879,162,202.5,243,null,null,null,null,1.4508280682382137E-4]
[null,"E       68",1.6,50,7.4704243176178657,5.8704243176178661,38,11.594728081058726,16.8,155.11289522480178,1.680395374066481,1.3443162992531847,1.1174629237542097,162,202.5,243,null,null,null,null,1.4137778021091813E-4]
[null,"F       69",1.6,50,7.2746501240694776,5.674650124069478,38,10.521488833746893,16.2,150.21537487956445,1.5248534541662164,1.2198827633329732,1.014027547020534,162,202.5,243,null,null,null,null,1.3767275359801486E-4]
[null,"G      71",1.6,50,7.0788759305210913,5.4788759305210917,38,9.4482495864350682,14.9,145.36490524295385,1.3693115342659519,1.0954492274127616,0.91059217028685813,162,202.5,243,null,null,null,null,1.3396772698511168E-4]
[null,"A       73",1.6,50,6.9734590570719597,5.37345905707196,38,8.8703515301902343,13.6,142.40650671333745,1.2855581927811932,1.0284465542249548,0.85489619819949358,162,202.5,243,null,null,null,null,1.3197271265508683E-4]
[null,"B      75",1.6,50,6.7776848635235734,5.1776848635235737,38,7.797112282878409,12.3,137.6393257937016,1.1300162728809298,0.9040130183047439,0.75146082146581838,162,202.5,243,null,null,null,null,1.2826768604218362E-4]
[null,"C      76",1.6,50,6.581910669975187,4.9819106699751874,38,6.7238730355665908,11.6,132.91866658970915,0.97447435298066531,0.77957948238453223,0.64802544473214252,162,202.5,243,null,null,null,null,1.2456265942928043E-4]
[null,"D       78",1.6,50,6.4764937965260554,4.8764937965260557,38,6.1459749793217568,10.3,130.058869943133,0.89072101149590777,0.71257680919672628,0.59232947264477864,162,202.5,243,null,null,null,null,1.2256764509925558E-4]
[null,"E       80",1.6,50,6.2807196029776691,4.6807196029776694,38,5.0727357320099316,9,125.42052725279567,0.73517909159564321,0.58814327327651461,0.48889409591110283,162,202.5,243,null,null,null,null,1.188626184863524E-4]
[null,"F       81",1.6,50,6.069885856079404,4.4698858560794044,38,3.9169396195202637,8.3000000000000007,120.52914117886918,0.56767240862612511,0.4541379269009001,0.37750215173637325,162,202.5,243,null,null,null,null,1.1487258982630273E-4]
[null,"G      83 ",1.6,50,5.8741116625310177,4.274111662531018,38,2.8437003722084384,7,115.98428342846223,0.41213048872586167,0.32970439098068938,0.27406677500269799,162,202.5,243,null,null,null,null,1.1116756321339952E-4]
[null,"A       85",1.6,50,5.783754342431763,4.1837543424317634,38,2.348359181141447,5.6,113.55473301588739,0.3403419103103546,0.27227352824828371,0.22632737035638587,162,202.5,243,null,null,null,null,1.0945755093052111E-4]
[null,"B       87",1.6,50,5.9795285359801493,4.3795285359801497,38,3.4215984284532723,4.3,116.73304372949151,0.49588383021062016,0.39670706416849616,0.32976274709006248,162,202.5,243,null,null,null,null,1.1316257754342434E-4]
[null,"C       88",1.6,50,5.8741116625310177,4.274111662531018,38,2.8437003722084384,3.7,114.0232717466598,0.41213048872586167,0.32970439098068938,0.27406677500269799,162,202.5,243,null,null,null,null,1.1116756321339952E-4]
[]
[null,null,null,null,{"$f":"AVERAGE(E152:E203)","v":8.9517630750143162},{"$f":"AVERAGE(F152:F203)","v":7.3517630750143184},null,null,null,{"$f":"AVERAGE(J152:J203)","v":203.32460211999239},2.3749798404210174,1.8999838723368137,1.8999838723368137,{"$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$5)-G236)","v":33.224626757650952},41.1,{"$f":"W236*AL41*10000","v":221.59823601254783},{"$f":"(((((E236 * $B$5 * $C$5) + $P$5) * $C$98 +$G$150) - D236) * $A$98) / $J$149","v":4.1557894749895548},{"$f":"(((((E236 * $B$5 * $C$5) + $P$5) * $C$98 +$G$150) - D236) * $A$99) / $J$149","v":3.3246315799916437},{"$f":"(((((E236 * $B$5 * $C$5) + $P$5) * $C$98 +$G$150) - D236) * $A$100) / $J$149","v":2.7636000008680535},{"$f":"L104","v":145},{"$f":"M104","v":181.25},{"$f":"N104","v":218.04511278195488},null,null,null,null,null,null,{"$f":"((E236/1000)*$E$5^2)","v":2.1604831656327547E-4}]
[null,"C#   5",1.6,{"$f":"G237+$G$150","v":50},{"$f":"F237+C237","v":11.29555086848635},9.6955508684863503,38,{"$f":"((E237*$N$5)+($G$149*$O$5)-G237)","v":32.564171836228269},40.299999999999997,{"$f":"W237*AL42*10000","v":217.62700572982234},{"$f":"(((((E237 * $B$5 * $C$5) + $P$5) * $C$98 +$G$150) - D237) * $A$98) / $J$149","v":4.0661856416704785},{"$f":"(((((E237 * $B$5 * $C$5) + $P$5) * $C$98 +$G$150) - D237) * $A$99) / $J$149","v":3.2529485133363827},{"$f":"(((((E237 * $B$5 * $C$5) + $P$5) * $C$98 +$G$150) - D237) * $A$100) / $J$149","v":2.7040134517108685},{"$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$5^2)","v":2.137683001861042E-4}]
[null,"D#   7",1.6,50,11.220253101736974,9.6202531017369743,38,32.151387510339134,39.799999999999997,214.56057654440892,4.0101832458460622,3.2081465966768499,2.666771858487631,143.94444444444446,179.93055555555557,216.45781119465332,null,null,null,null,null,null,2.1234328995037223E-4]
[null,"F#   10",1.6,50,11.099776674937965,9.4997766749379657,38,31.490932588916451,39,210.6644036665034,3.9205794125269899,3.136463530021592,2.6071853093304482,143.41666666666669,179.27083333333337,215.66416040100253,null,null,null,null,null,null,2.1006327357320101E-4]
[null,"G#  12",1.6,50,11.024478908188586,9.4244789081885862,38,31.078148263027288,38.5,207.65972757266616,3.864577016702567,3.0916616133620538,2.5699437161072072,142.88888888888891,178.61111111111114,214.87050960735175,null,null,null,null,null,null,2.08638263337469E-4]
[null,"A#   14",1.6,50,10.949181141439206,9.3491811414392068,38,30.665363937138125,38,204.68249206317009,3.8085746208781486,3.0468596967025188,2.5327021228839688,142.36111111111114,177.95138888888891,214.07685881370097,null,null,null,null,null,null,2.0721325310173698E-4]
[null,"C#  17",1.6,50,10.828704714640198,9.2287047146401981,38,30.004909015715469,37.200000000000003,200.89441933669687,3.7189707875590745,2.97517663004726,2.4731155737267847,141.83333333333337,177.29166666666671,213.28320802005018,null,null,null,null,null,null,2.0493323672456576E-4]
[null,"D#  19",1.6,50,10.75340694789082,9.1534069478908204,38,29.592124689826306,36.700000000000003,197.9780822721948,3.6629683917346543,2.9303747133877236,2.435873980503545,141.3055555555556,176.63194444444451,212.4895572263994,null,null,null,null,null,null,2.0350822648883377E-4]
[null,"F#   22",1.6,50,10.617870967741936,9.0178709677419366,38,28.849112903225802,35.799999999999997,193.98824440236041,3.5621640792506994,2.8497312634005598,2.3688391127017154,140.77777777777783,175.97222222222229,211.69590643274861,null,null,null,null,null,null,{"$f":"((E244/1000)*$E$5^2)","v":2.0094320806451617E-4}]
[null,"G#  24",1.6,50,10.527513647642682,8.927513647642682,38,28.353771712158817,35.200000000000003,190.86130521028659,3.4949612042613927,2.795968963409114,2.3241492008338263,140.25000000000006,175.31250000000006,210.90225563909783,null,null,null,null,null,null,1.9923319578163775E-4]
[null,"A#   26",1.6,50,10.437156327543425,8.8371563275434255,38,27.858430521091819,34.6,187.7653460296107,3.4277583292720895,2.7422066634176718,2.2794592889659397,139.72222222222229,174.65277777777786,210.10860484544705,null,null,null,null,null,null,1.9752318349875933E-4]
[null,"C#   29",1.6,50,10.301620347394541,8.7016203473945417,38,27.115418734491314,33.700000000000003,183.89373822296611,3.3269540167881329,2.6615632134305063,2.2124244211641084,139.19444444444451,173.99305555555566,209.31495405179626,null,null,null,null,null,null,1.949581650744417E-4]
[null,"D#    31",1.6,50,10.196203473945411,8.5962034739454118,38,26.537520678246494,33,180.59882077181973,3.2485506626339453,2.598840530107156,2.1602861906515738,138.66666666666674,173.33333333333343,208.52130325814548,null,null,null,null,null,null,1.9296315074441691E-4]
[null,"F#    34",1.6,50,10.060667493796528,8.460667493796528,38,25.794508891645997,32.1,176.80925499424859,3.1477463501499909,2.5181970801199927,2.0932513228497442,138.13888888888897,172.6736111111112,207.72765246449467,null,null,null,null,null,null,1.9039813232009931E-4]
[null,"G#   36",1.6,50,9.9552506203473996,8.3552506203474,38,25.216610835401184,31.4,173.58765654083146,3.0693429959958012,2.455474396796641,2.0411130923372083,137.6111111111112,172.013888888889,206.93400167084388,null,null,null,null,null,null,1.8840311799007454E-4]
[null,"A#    38",1.6,50,9.8498337468982626,8.249833746898263,38,24.638712779156322,30.7,170.40037403862351,2.9909396418416119,2.3927517134732894,1.9889748618246719,137.08333333333343,171.3541666666668,206.1403508771931,null,null,null,null,null,null,1.8640810366004961E-4]
[null,"C#   41",1.6,50,9.6841786600496285,8.0841786600496288,38,23.730587262200167,29.6,166.21334455050095,2.8677343710278884,2.2941874968223108,1.9070433567335459,136.55555555555566,170.69444444444457,205.34670008354232,null,null,null,null,null,null,1.8327308114143921E-4]
[null,"D#   43",1.6,50,9.5787617866004986,7.978761786600499,38,23.152689205955348,28.9,163.10236698774963,2.7893310168736987,2.2314648134989588,1.8549051262210097,136.02777777777789,170.03472222222234,204.55304928989153,null,null,null,null,null,null,1.8127806681141444E-4]
[null,"F#   46",1.6,50,9.3980471464019857,7.798047146401986,38,22.162006823821343,27.7,158.75321888551443,2.6549252668950887,2.1239402135160708,1.765525302485234,135.50000000000011,169.37500000000014,203.75939849624075,null,null,null,null,null,null,1.7785804224565758E-4]
[null,"G#   48",1.6,50,9.2775707196029789,7.6775707196029792,38,21.501551902398681,26.9,155.46740443871005,2.5653214335760164,2.0522571468608133,1.705938753328051,134.97222222222234,168.71527777777794,202.96574770258997,null,null,null,null,null,null,{"$f":"((E255/1000)*$E$5^2)","v":1.7557802586848638E-4}]
[null,"A#    50 ",1.6,50,9.1420347394540951,7.5420347394540954,38,20.758540115798183,26,151.96868610278011,2.464517121092062,1.9716136968736497,1.6389038855262215,134.44444444444457,168.05555555555571,202.17209690893918,null,null,null,null,null,null,1.7301300744416875E-4]
[null,"C#    53",1.6,50,8.946260545905707,7.3462605459057073,38,19.685300868486351,24.7,147.51794387785125,2.3189108919485695,1.8551287135588554,1.542075743145799,133.9166666666668,167.39583333333348,201.3784461152884,null,null,null,null,null,null,1.6930798083126551E-4]
[null,"D#    55",1.6,50,8.8107245657568232,7.2107245657568235,38,18.942289081885853,23.8,144.10955795802565,2.2181065794646107,1.7744852635716888,1.4750408753439661,133.38888888888903,166.73611111111128,200.58479532163761,null,null,null,null,null,null,1.6674296240694791E-4]
[null,"F#    58",1.6,50,8.5848312655086865,6.9848312655086868,38,17.703936104218371,22.3,139.27605209602197,2.0500993919913535,1.6400795135930828,1.3633160956742501,132.86111111111126,166.07638888888908,199.79114452798683,null,null,null,null,null,null,1.6246793169975192E-4]
[null,"G#    60",1.6,50,8.4342357320099257,6.8342357320099261,38,16.878367452440031,21.3,135.71863899737352,1.9380946003425092,1.5504756802740074,1.2888329092277686,132.33333333333348,165.41666666666686,198.99749373433605,null,null,null,null,null,null,1.5961791122828784E-4]
[null,"A#     62",1.6,50,8.2685806451612898,6.6685806451612901,38,15.97024193548387,20.2,131.96514477567266,1.8148893295287836,1.451911463623027,1.2069014041366413,131.80555555555571,164.75694444444463,198.20384294068526,null,null,null,null,null,null,1.5648288870967743E-4]
[null,"C#     65",1.6,50,8.0276277915632761,6.4276277915632765,38,14.649332092638545,18.600000000000001,127.06774598236528,1.6356816628906394,1.3085453303125116,1.0877283058222753,131.27777777777794,164.09722222222243,197.41019214703448,null,null,null,null,null,null,1.5192285595533501E-4]
[null,"D#     67",1.6,50,7.846913151364765,6.2469131513647653,38,13.658649710504555,17.399999999999999,123.18333683160598,1.5012759129120326,1.2010207303296261,0.99834848208650173,130.75000000000017,163.43750000000023,196.6165413533837,null,null,null,null,null,null,1.4850283138957818E-4]
[null,"F#     70",1.6,50,7.5607816377171222,5.9607816377171225,38,12.090069272125724,15.5,117.70906349835438,1.2884668087792348,1.0307734470233878,0.85683042783819119,130.2222222222224,162.777777777778,195.82289055973291,null,null,null,null,null,null,1.4308779249379655E-4]
[null,"G#    72",1.6,50,7.3800669975186111,5.7800669975186114,38,11.099386889991735,14.3,113.94061270495753,1.1540610588006257,0.92324884704050059,0.76745060410241617,129.69444444444463,162.11805555555577,195.02923976608213,null,null,null,null,null,null,1.3966776792803974E-4]
[null,"A#     74",1.6,50,7.1842928039702247,5.5842928039702251,38,10.026147642679909,13,109.99226053492707,1.0084548296571332,0.80676386372570663,0.67062246172199358,129.16666666666686,161.45833333333357,194.23558897243134,null,null,null,null,null,null,1.359627413151365E-4]
[null,"C#     77",1.6,50,6.883101736972705,5.2831017369727054,38,8.3750103391232429,11,104.49772664819204,0.78444524635945212,0.62755619708756172,0.52165608882903558,128.63888888888908,160.79861111111137,193.44193817878056,null,null,null,null,null,null,1.3026270037220844E-4]
[null,"D#     79",1.6,50,6.6722679900744435,5.0722679900744438,38,7.2192142266335892,9.6,100.44428897774934,0.62763853805107495,0.50211083044086002,0.41737962780396493,128.11111111111131,160.13888888888914,192.64828738512978,null,null,null,null,null,null,1.2627267171215885E-4]
[null,"F#     82",1.6,50,6.3710769230769237,4.7710769230769241,38,5.5680769230769229,7.6,95.099484517355265,0.40362895475339389,0.32290316380271511,0.26841325491100693,127.58333333333354,159.47916666666691,191.85463659147899,null,null,null,null,null,null,1.2057263076923079E-4]
[null,"G#    84",1.6,50,6.1753027295285357,4.575302729528536,38,4.4948376757650905,6.3,91.394784647030903,0.25802272560990025,0.20641818048792021,0.17158511253058367,127.05555555555577,158.81944444444471,191.06098579782821,null,null,null,null,null,null,1.1686760415632754E-4]
[null,"A#     86",1.6,50,5.9795285359801493,4.3795285359801497,38,3.4215984284532723,5,87.742926840595416,0.11241649646640874,8.9933197173126991E-2,7.4756970150161806E-2,126.527777777778,158.15972222222251,190.26733500417743,null,null,null,null,null,null,1.1316257754342434E-4]
[]
[null,null,null,null,{"$f":"AVERAGE(E236:E271)","v":9.1872133995037242},{"$f":"AVERAGE(F236:F271)","v":7.5872133995037228},null,null,null,{"$f":"AVERAGE(J236:J271)","v":158.29817425728029},{"$f":"AVERAGE(K236:K271)","v":2.4981185585867127},1.9984948468693702,1.6612488414601643,135.763888888889,169.70486111111126,204.15622389306617]

{"sheet":"Balance Weight","index":21,"n_rows":200,"n_cols":28,"rows_kept":200,"cut":false,"hidden":true,"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,{"$f":"O3*(E4/F4 * G4/H4)^2","v":2.030210235974296E-2}]
[null,"shank","So","Ham","Wo ","Si","Ko","Wi","Rots Avg",null,null,null,null,"iham =",{"$f":"D4*C4^2","v":2.1591483424739195E-4},"KR"]
[null,{"$f":"'Key Leads'!D133","v":2.2533333333333333E-5},{"$f":"'Key Leads'!E133","v":0.13756816492197604},{"$f":"'Key Leads'!F133","v":1.1408974068554395E-2},{"$f":"'Key Leads'!G133","v":9.4103213409607936E-2},{"$f":"'Key Leads'!H133","v":1.9084734394867096E-2},{"$f":"'Key Leads'!I133","v":0.13038404810405296},{"$f":"'Key Leads'!J133","v":6.6299999999999998E-2},{"$f":"'Key Leads'!K133","v":8.6473422306498176},"Isw = (SW * So^2) + SS",null,null,null,null,null,{"$f":"'Key Leads'!Q86","v":0.5083333333333333}]
[null,null,{"$f":"'Key Leads'!E134","v":0.13},null,null,null,null,null,{"$f":"I4^2","v":74.776527653979755}]
[null,null,null,null,null,null,null,"Rots avg.>",{"$f":"'Key Leads'!K135","v":8.6473422306498176},{"$f":"'Key Leads'!L135","v":{"$error":"#REF!"}}]
[null,{"$f":"'Key Leads'!N56","v":240},{"$f":"'Key Leads'!H69","v":122},{"$f":"'Key Leads'!N59","v":150},null,null,null,null,null,null,null,null,"#Lds = (Ld_tot - KIW_fac) / Std. Ld,"]
[null,{"$f":"B7/2","v":120},null,null,null,null,null,null,null,null,null,null,"FW * (Ki / Kfac) e.g. 250/160 or 250/125"]
[null,"Wf = (((((SW * Sro * Wro) + WW) * KR + F) - DW) * KR^ -1) / 14.2",null,null,null,null,null,null,null,null,null,null,"Prac. Pos  = (L_total_req * Ctr_mm) / (Lds_on_hand * rounded(#ctr_Lds)) "]
[null,"FW = (SW * AR) + (WW * KR) - BW",null,null,null,"SW = (((BW + FW) - (WW * KR)) / AR) "]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"TRY DIFFERENT BW, FRICTION, ENTER ACTUAL HAMMER WEIGHTS"]
[null,"Enter Your Own Set of Hammer Weights and Try Different Balance Weights (BW) "]
[null,"Each Hammer in Your Set Should Be Arced, Tailed, Tapered, Weighed and Entered in the Hammer Column"]
[]
[null,"Note # to Hammer Weight Summary for Action ",null,null,null,null,{"$f":"'Simple AR Calculator'!C6","v":"Standard Action"}]
[null,"Note -->>","A 1","  E 20","A# 26","B27","C 40","A 49","A 61","C 88","Inert. Avg","MAR"]
[null,"Ham gms",{"$f":"E39","v":10.343213717857337},{"$f":"E58","v":9.5468193157519607},{"$f":"E64","v":9.2542662700805955},{"$f":"E65","v":9.2055074291353698},{"$f":"E78","v":8.5066307089204454},{"$f":"E87","v":7.9215246175777185},{"$f":"E99","v":7.0113595866001432},{"$f":"E126","v":4.232105652722189},{"$f":"I128","v":132.82909776124228},{"$f":"'Simple AR Calculator'!H7","v":5.4820261437908497}]
[]
[null,"Shank radii weights below","Enter Whip Radius Weight -->",null,null,17,null,null,null,null,null,null,{"$f":"I37*(B7/C7)","v":0},{"$f":"I37*(B7/D7)","v":0}]
[null,null,"Click button for trial BW -->>",null,null,null,"Enter Std. Lead -->",null,13.8,"Ctr. mm @","Fr. 3rd"]
[null,null,"Enter a typical friction target -->",null,null,12,"Enter KIW -->>",null,0,{"$f":"'Key Leads'!K144","v":120},{"$f":"'Key Leads'!L144","v":150}]
[null,null,"DW","SW","Hammer","BW","FW ","FW Max","Inertia","# of Lds","# of Lds","Note","Tot. Ld. Ms.","Tot. Ld. Ms.","Front Weight, Strike Weight RO, and Balance Weight"]
[{"$f":"G39/H39","v":0.7885344768635113},1.5,{"$f":"F39+$F$37","v":53},{"$f":"E39+B39","v":11.843213717857337},10.343213717857337,41,{"$f":"((D39*$L$33) +($F$35*$P$4)-F39) + $I$37","v":32.566473894463016},41.3,{"$f":"(((D39/1000*$C$4^2)*$I$4^2))*10000","v":167.5987398376528},{"$f":"(M39 - $M$35*2) / $I$36","v":4.7197788252844948},{"$f":"(N39 - $N$35*2) / $I$36","v":3.7758230602275962},"A     1",{"$f":"G39*($B$7/$B$8)","v":65.132947788926032},{"$f":"G39*($B$7/$D$7)","v":52.106358231140831},"FW = (SW * AR) + (WW * KR) - BW",null,null,null,"AR = BW + FW - (WW * KR)",null,null,null,{"$f":"(M39*$J$37)/($I$36*ROUND(J39,0))","v":113.27469180682789},{"$f":"ROUND(J39,0)","v":5},{"$f":"(N39*$K$37)/($I$36*ROUND(K39,0))","v":141.59336475853488},{"$f":"ROUND(K39,0)","v":4},null,"Note   SW  FW_max"]
[{"$f":"G40/H40","v":0.78803590593498563},1.5,{"$f":"F40+$F$37","v":53},{"$f":"E40+B40","v":11.810707823893855},10.310707823893855,41,{"$f":"((D40*$L$33) +($F$35*$P$4)-F40) + $I$37","v":32.388275733927912},41.1,{"$f":"(((D40/1000*$C$4^2)*$I$4^2))*10000","v":167.13873404907523},{"$f":"(M40 - $M$35*2) / $I$36","v":4.6939530049170886},3.7551624039336713,"A#   2",{"$f":"G40*($B$7/$B$8)","v":64.776551467855825},51.821241174284665,"SW =",{"$f":"D39","v":11.843213717857337},"grams",null,null,"SW",null,null,112.65487211801013,5,140.81859014751268,4,null,{"$f":"L39 &\"         \"&ROUND(D39,1)&\"      \"&ROUND(H39,1)","v":"A     1         11.8      41.3"}]
[0.78727888463542217,1.5,53,11.761948982948626,10.261948982948626,41,32.120978493125222,40.799999999999997,166.44872536620872,4.6552142743659735,3.7241714194927797,"B     3",64.241956986250443,51.39356558900036,"FW =",{"$f":"((P40*L33) + (F35 * P4)) - F39 + I37","v":32.566473894463016},"grams",{"$f":"P41/1000","v":3.2566473894463016E-2},null,null,null,null,111.72514258478338,5,139.65642823097923,4,null,{"$f":"L40 &\"         \"&ROUND(D40,1)&\"      \"&ROUND(H40,1)","v":"A#   2         11.8      41.1"}]
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[0.93122921858979224,1.5,48,8.2350594879105223,6.7350594879105223,36,17.786478075065034,19.100000000000001,116.53809730553539,2.5777504456615992,2.0622003565292792,"C       64",35.572956150130068,28.458364920104056,null,null,null,null,null,null,null,null,103.11001782646396,3,154.66502673969595,2,null,"B       63         8.3      19.7"]
[0.93231089643694831,1.5,48,8.1537947530018098,6.6537947530018098,36,{"$f":"((D103*$L$33) +($F$35*$P$4)-F103) + $I$37","v":17.34098267372724},18.600000000000001,115.38808283409126,{"$f":"(M103 - $M$35*2) / $I$36","v":2.5131858947430783},{"$f":"(N103 - $N$35*2) / $I$36","v":2.0105487157944628},"C#     65",34.681965347454479,{"$f":"G103*($B$7/$D$7)","v":27.745572277963586},null,null,null,null,null,null,null,null,{"$f":"(M103*$J$37)/($I$36*ROUND(J103,0))","v":100.52743578972311},{"$f":"ROUND(J103,0)","v":3},{"$f":"(N103*$K$37)/($I$36*ROUND(K103,0))","v":150.79115368458469},{"$f":"ROUND(K103,0)","v":2},null,"C       64         8.2      19.1"]
[{"$f":"G104/H104","v":0.93368823289566039},1.5,{"$f":"F104+$F$37","v":48},{"$f":"E104+B104","v":8.0562770711113547},6.5562770711113547,36,16.806388192121887,18,{"$f":"(((D104/1000*$C$4^2)*$I$4^2))*10000","v":114.0080654683584},2.435708433640853,1.9485667469126826,"D       66",{"$f":"G104*($B$7/$B$8)","v":33.612776384243773},26.890221107395021,null,null,null,null,null,null,null,null,146.14250601845117,2,146.1425060184512,2,null,"C#     65         8.2      18.6"]
[0.93516055807566334,1.5,48,7.9587593892209005,6.4587593892209005,36,16.27179371051654,17.399999999999999,112.6280481026255,2.358230972538629,1.8865847780309033,"D#     67",32.543587421033081,26.034869936826468,null,null,null,null,null,null,null,null,141.49385835231774,2,141.49385835231774,2,null,{"$f":"L104 &\"         \"&ROUND(D104,1)&\"      \"&ROUND(H104,1)","v":"D       66         8.1      18"}]
[0.93673804933995164,1.5,48,7.8612417073304464,6.3612417073304464,36,15.737199228911187,16.8,111.24803073689259,2.2807535114364037,1.8246028091491231,"E       68",31.474398457822375,25.1795187662579,null,null,null,null,null,null,null,null,136.84521068618423,2,136.84521068618423,2,null,"D#     67         8      17.4"]
[0.93843239180900218,1.5,48,7.7637240254399913,6.2637240254399913,36,15.202604747305834,16.2,109.86801337115966,2.2032760503341788,1.7626208402673431,"F       69",30.405209494611668,24.324167595689335,null,null,null,null,null,null,null,null,132.19656302005072,2,132.19656302005072,2,null,"E       68         7.9      16.8"]
[0.94057491518922076,1.5,48,7.6499533965677937,6.1499533965677937,36,14.578911185432922,15.5,108.25799311113794,2.1128856790482495,1.6903085432385998,"F#     70",29.157822370865844,23.326257896692677,null,null,null,null,null,null,null,null,126.77314074289497,2,126.77314074289498,2,null,"F       69         7.8      16.2"]
[0.94257159086091069,1.5,48,7.5524357146773395,6.0524357146773395,36,14.044316703827569,14.9,106.87797574540504,2.0354082179460242,1.6283265743568196,"G      71",28.088633407655138,22.470906726124113,null,null,null,null,null,null,null,null,122.12449307676145,2,122.12449307676148,2,null,"F#     70         7.6      15.5"]
[0.94473581973581977,1.5,48,7.4549180327868854,5.9549180327868854,36,13.509722222222223,14.3,105.49795837967214,1.9579307568438002,1.5663446054750405,"G#    72",27.019444444444446,21.615555555555559,null,null,null,null,null,null,null,null,117.47584541062803,2,117.47584541062804,2,null,"G      71         7.6      14.9"]
[1.0210315191433317,1.5,47,7.3411474039146878,5.8411474039146878,35,13.886028660349311,13.6,103.8879381196504,2.0124679217897552,1.6099743374318043,"A       73",27.772057320698622,22.217645856558899,null,null,null,null,null,null,null,null,120.74807530738529,2,120.74807530738531,2,null,"G#    72         7.5      14.3"]
[1.0270333983649205,1.5,47,7.2436297220242345,5.7436297220242345,35,13.351434178743965,13,102.50792075391752,1.934990460687531,1.547992368550025,"A#     74",26.70286835748793,21.362294685990346,null,null,null,null,null,null,null,null,116.09942764125186,2,116.09942764125188,2,null,"A       73         7.3      13.6"]
[1.0347756599082156,1.5,47,7.1298590931520369,5.6298590931520369,35,12.727740616871053,12.3,100.89790049389579,1.8446000894016017,1.4756800715212814,"B      75",25.455481233742105,20.364384986993684,null,null,null,null,null,null,null,null,110.67600536409611,2,221.35201072819223,1,null,"A#     74         7.2      13"]
[1.0434523323274258,1.5,47,7.0160884642798393,5.5160884642798393,35,12.104047054998141,11.6,99.287880233874077,1.7542097181156724,1.4033677744925381,"C      76",24.208094109996281,19.366475287997027,null,null,null,null,null,null,null,null,105.25258308694035,2,210.50516617388072,1,null,"B      75         7.1      12.3"]
[1.0517684157629814,1.5,47,6.9185707823893861,5.4185707823893861,35,11.569452573392795,11,97.907862868141166,1.6767322570134484,1.3413858056107588,"C#     77",23.138905146785589,18.511124117428473,null,null,null,null,null,null,null,null,{"$f":"IF(J115>1,(M115*$J$37)/($I$36*ROUND(J115,0)),M115*$J$37)/($I$36*J115)","v":4.3478260869565215},2,201.20787084161381,1,null,"C      76         7      11.6"]
[1.0626950496621244,1.5,47,6.8048001535171885,5.3048001535171885,35,10.945759011519883,10.3,96.297842608119439,1.5863418857275191,1.2690735085820153,"D       78",21.891518023039765,17.513214418431811,null,null,null,null,null,null,null,null,4.3478260869565215,2,190.36102628730228,1,null,"C#     77         6.9      11"]
[1.0752151510048928,1.5,47,6.6910295246449909,5.1910295246449909,35,10.322065449646971,9.6,94.687822348097725,1.4959515144415898,1.196761211553272,"D#     79",20.644130899293941,16.515304719435154,null,null,null,null,null,null,null,null,8.695652173913043,1,179.51418173299078,1,null,"D       78         6.8      10.3"]
[1.0874967742268471,1.5,47,6.5935118427545376,5.0935118427545376,35,9.7874709680416245,9,93.307804982364843,1.4184740533393658,1.1347792426714927,"E       80",19.574941936083249,15.6599535488666,null,null,null,null,null,null,null,null,8.695652173913043,1,170.21688640072389,1,null,"D#     79         6.7      9.6"]
[1.1040695670082785,1.5,47,6.47974121388234,4.97974121388234,35,9.1637774061687125,8.3000000000000007,91.69778472234313,1.3280836820534365,1.0624669456427493,"F       81",18.327554812337425,14.66204384986994,null,null,null,null,null,null,null,null,8.6956521739130412,1,159.37004184641236,1,null,"E       80         6.6      9"]
[1.1236952426704991,1.5,47,6.3659705850101425,4.8659705850101425,35,8.5400838442957934,7.6,90.087764462321374,1.2376933107675063,0.99015464861400504,"F#     82",17.080167688591587,13.66413415087327,null,null,null,null,null,null,null,null,8.695652173913043,1,148.52319729210075,1,null,"F       81         6.5      8.3"]
[1.1436413375272068,1.5,47,6.2684529031196883,4.7684529031196883,35,8.0054893626904473,7,88.707747096588491,1.1602158496652821,0.92817267973222572,"G      83 ",16.010978725380895,12.808782980304716,null,null,null,null,null,null,null,null,8.695652173913043,1,139.22590195983386,1,null,"F#     82         6.4      7.6"]
[1.1717136191773878,1.5,47,6.1546822742474916,4.6546822742474916,35,7.3817958008175424,6.3,87.097726836566764,1.0698254783793539,0.85586038270348319,"G#    84",14.763591601635085,11.810873281308069,null,null,null,null,null,null,null,null,8.695652173913043,1,128.37905740552247,1,null,"G      83          6.3      7"]
[1.3853753998115399,1.5,46,6.040911645375294,4.540911645375294,34,7.7581022389446233,5.6,85.487706576545023,1.1243626433253076,0.8994901146602462,"A       85",15.516204477889247,12.412963582311399,null,null,null,null,null,null,null,null,8.6956521739130448,1,134.92351719903692,1,null,"G#    84         6.2      6.3"]
[1.4447015514678554,1.5,46,5.9433939634848398,4.4433939634848398,34,7.2235077573392772,5,84.107689210812126,1.0468851822230836,0.83750814577846699,"A#     86",14.447015514678554,11.557612411742845,null,null,null,null,null,null,null,null,8.695652173913043,1,125.62622186677005,1,null,"A       85         6      5.6"]
[1.534840510573575,1.5,46,5.829623334612644,4.329623334612644,34,6.5998141954663723,4.3,82.497668950790427,0.95649481093715538,0.76519584874972435,"B       87",13.199628390932745,10.559702712746196,null,null,null,null,null,null,null,null,120.00000000000001,1,114.77937731245865,1,null,"A#     86         5.9      5"]
[1.6392485713137888,1.5,46,5.732105652722189,4.232105652722189,34,6.0652197138610191,3.7,81.117651585057516,0.87901734983493029,0.70321387986794426,"C       88",12.130439427722038,9.7043515421776316,null,null,null,null,null,null,null,null,120.00000000000001,1,105.48208198019164,1,null,"B       87         5.8      4.3"]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"SUM(M39:M126)/1000","v":3.9211292758268308},{"$f":"SUM(N39:N126)/1000","v":3.1369034206614645},null,null,null,null,null,null,null,null,{"$error":"#DIV/0!"},0,null,null,null,"C       88         5.7      3.7"]
[{"$f":"SUM(A39:A126)","v":79.870881067215251},null,null,{"$f":"AVERAGE(D39:D126)","v":9.386248334924165},{"$f":"AVERAGE(E39:E126)","v":7.886248334924165},null,null,null,{"$f":"AVERAGE(I39:I126)","v":132.82909776124228},{"$f":"AVERAGE(J39:J127)","v":3.2288613931380343},{"$f":"AVERAGE(K39:K126)","v":2.5830891145104289},null,"kgs","kgs"]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"M127*2.2","v":8.6264844068190278},{"$f":"N127*2.2","v":6.9011875254552226}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[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":4.8786181139122311}]
[null,"Sk.RadWt","DW","SW","Hammer","BW ","FW ","FW Max","Inertia","# of Lds","# of Lds","Note"]
["A#   2",1.6,{"$f":"F160+$F$37","v":53},{"$f":"E160+B160","v":11.910707823893855},{"$f":"E40","v":10.310707823893855},{"$f":"F40","v":41},{"$f":"((D160*$P$168) +($F$35*$P$165)-F160) +$I$158","v":24.798271129640881},41.1,{"$f":"(((D160/1000*$C$4^2 + $B$4)*$I$4^2))*10000","v":185.4035240662902},{"$f":"(M160 - $I$157*2) / $I$36","v":3.5939523376291129},{"$f":"(N160 - $I$157*2) / $I$36","v":2.8751618701032906},"A#   2",{"$f":"G160*($P$161/$P$162)","v":49.596542259281762},{"$f":"G160*($B$7/$D$7)","v":39.677233807425409},null,{"$f":"F149","v":95}]
["C#   5",1.6,{"$f":"F161+$F$37","v":53},{"$f":"E161+B161","v":11.780684248039913},{"$f":"E43","v":10.180684248039913},{"$f":"F43","v":41},{"$f":"((D161*$P$168) +($F$35*$P$165)-F161) +$I$158","v":24.163935757244204},40.299999999999997,{"$f":"(((D161/1000*$C$4^2 + $B$4)*$I$4^2))*10000","v":183.56350091197962},{"$f":"(M161 - $I$157*2) / $I$36","v":3.502019674962928},{"$f":"(N161 - $I$157*2) / $I$36","v":2.8016157399703423},"C#   5",{"$f":"G161*($P$161/$P$162)","v":48.327871514488407},{"$f":"G161*($B$7/$D$7)","v":38.662297211590726},null,{"$f":"L149","v":210}]
["D#   7",1.6,53,11.6994195131312,{"$f":"E45","v":10.099419513131201},{"$f":"F45","v":41},23.767476149496275,39.799999999999997,182.41348644053551,3.4445617607965615,2.7556494086372494,"D#   7",47.53495229899255,38.027961839194042,null,{"$f":"P161/2","v":105}]
["F#   10",1.6,53,11.569395937277264,{"$f":"E48","v":9.9693959372772643},{"$f":"F48","v":41},23.133140777099626,39,180.57346328622504,3.3526290981303806,2.6821032785043042,"F#   10",46.266281554199253,37.013025243359401]
["G#  12",1.6,53,11.488131202368551,{"$f":"E50","v":9.8881312023685517},{"$f":"F50","v":41},22.736681169351705,38.5,179.4234488147809,3.295171183964015,2.6361369471712122,"G#  12",45.47336233870341,36.378689870962731,null,{"$f":"P161/P160","v":2.2105263157894739}]
["A#   14",1.6,52,11.406866467459839,{"$f":"E52","v":9.8068664674598391},{"$f":"F52","v":40},23.340221561603784,38,178.27343434333682,3.3826408060295337,2.706112644823627,"A#   14",46.680443123207567,37.344354498566055,null,{"$f":"1/P164","v":0.45238095238095233},"Kro"]
["C#  17",1.6,52,11.276842891605899,{"$f":"E55","v":9.6768428916058991},{"$f":"F55","v":40},22.705886189207106,37.200000000000003,176.43341118902632,3.2907081433633487,2.6325665146906791,"C#  17",45.411772378414213,36.329417902731372,null,{"$f":"'Simple AR Calculator'!C25","v":1.4102564102564104}]
["D#  19",1.6,52,11.195578156697186,{"$f":"E57","v":9.5955781566971865},{"$f":"F57","v":40},22.309426581459192,36.700000000000003,175.28339671758218,3.233250229196984,2.5866001833575876,"D#  19",44.618853162918384,35.695082530334709,null,{"$f":"'Simple AR Calculator'!C26","v":7.6470588235294121}]
["F#   22",1.6,52,11.049301633861505,{"$f":"E60","v":9.4493016338615057},{"$f":"F60","v":40},21.595799287512939,35.799999999999997,173.21337066898289,3.0785173610139611,2.5038607869580218,"F#   22",{"$f":"G168*($B$7/$C$7)","v":42.483539581992666},34.553278860020704,null,{"$f":"P165*P166*P167","v":4.8786181139122311},"Aro"]
["G#  24",1.6,52,10.951783951971052,{"$f":"E62","v":9.3517839519710524},{"$f":"F62","v":40},21.120047758215442,35.200000000000003,171.83335330324996,3.010698183637269,2.4487011893583119,"G#  24",41.547634934194313,33.792076413144706]
["A#   26",1.6,51,10.854266270080595,{"$f":"E64","v":9.2542662700805955},{"$f":"F64","v":39},21.644296228917931,34.6,170.45333593751704,3.0854306812427557,2.5094836207441076,"A#   26",42.578943401150028,34.630873966268688]
["C#   29",1.6,51,10.707989747244916,{"$f":"E67","v":9.1079897472449165},{"$f":"F67","v":39},20.930668934971692,33.700000000000003,168.38330988891772,2.9837019151777175,2.4267442243445441,"C#   29",41.175086429452506,33.489070295954711]
["D#    31",1.6,51,10.594219118372717,{"$f":"E69","v":8.9942191183727171},{"$f":"F69","v":39},20.375625484124591,33,166.77328962889595,2.9045795415715738,2.3623913604782136,"D#    31",40.083197673687721,32.601000774599349]
["F#    34",1.6,51,10.447942595537038,{"$f":"E72","v":8.8479425955370381},{"$f":"F72","v":39},19.661998190178352,32.1,164.70326358029666,2.8028507755065362,2.2796519640786497,"F#    34",38.679340701990199,31.459197104285366]
["G#   36",1.6,51,10.334171966664838,{"$f":"E74","v":8.7341719666648387},{"$f":"F74","v":39},19.106954739331258,31.4,163.09324332027489,2.7237284019003929,2.2152991002123197,"G#   36",37.587451946225421,30.571127582930014]
["A#    38",1.6,50,10.220401337792643,{"$f":"E76","v":8.6204013377926429},{"$f":"F76","v":38},19.551911288484177,30.7,161.48322306025318,2.7871577032764328,2.2668882653314988,"A#    38",38.462776305214774,31.283058061574685]
["C#   41",1.6,50,10.041618920993477,{"$f":"E79","v":8.4416189209934771},{"$f":"F79","v":38},18.679700151438759,29.6,158.9531912230762,2.6628225447524958,2.1657623363986969,"C#   41",36.746951117584445,29.887520242302017]
["D#   43",1.6,50,9.9278482921212774,{"$f":"E81","v":8.3278482921212778},{"$f":"F81","v":38},18.124656700591657,28.9,157.34317096305446,2.5837001711463516,2.101409472532366,"D#   43",35.655062361819652,28.999450720946655]
["F#   46",1.6,50,9.732812928340369,{"$f":"E84","v":8.1328129283403694},{"$f":"F84","v":38},17.173153641996663,27.7,154.58313623158867,2.4480618163929666,1.9910902773329464,"F#   46",33.78325306622294,27.477045827194662]
["G#   48",1.6,50,9.602789352486429,{"$f":"E86","v":8.0027893524864293},{"$f":"F86","v":38},16.538818269599986,26.9,152.74311307727814,2.3576362465573748,1.9175441471999983,"G#   48",32.535380202491773,26.462109231359978]
["A#    50 ",1.6,49,9.4565128296507481,{"$f":"E88","v":7.8565128296507485},{"$f":"F88","v":37},16.82519097565374,26,150.67308702867876,2.3984591554745172,1.9507467797859408,"A#    50 ",33.098736345548339,26.920305561045986]
["C#    53",1.6,49,9.2452245188880973,{"$f":"E91","v":7.6452245188880976},{"$f":"F91","v":37},15.794395995509156,24.7,147.68304940292415,2.2515176044916827,1.831234318319902,"C#    53",31.070942941985223,25.27103359281465]
["D#    55",1.6,49,9.0989479960524147,{"$f":"E93","v":7.498947996052415},{"$f":"F93","v":37},15.080768701562896,23.8,145.61302335432481,2.1497888384266419,1.7484949219203358,"D#    55",29.667085970287662,24.129229922500635]
["F#    58",1.6,49,8.8551537913262788,{"$f":"E96","v":7.2551537913262791},{"$f":"F96","v":37},13.891389878319146,22.3,142.16297993999251,1.9802408949849102,1.6105959279210604,"F#    58",27.327324350791763,22.226223805310635]
["G#    60",1.6,49,8.6926243215088537,{"$f":"E98","v":7.092624321508854},{"$f":"F98","v":37},13.098470662823303,21.3,139.86295099710435,1.8672089326904209,1.5186632652548755,"G#    60",25.767483271127809,20.957553060517284]
["A#     62",1.6,48,8.5138419047096878,{"$f":"E100","v":6.9138419047096882},{"$f":"F100","v":36},13.226259525777884,20.2,137.33291915992737,1.8854254491486646,1.5334793653075809,"A#     62",26.018871198251574,21.162015241244617]
["C#     65",1.6,48,8.2537947530018094,{"$f":"E103","v":6.6537947530018098},{"$f":"F103","v":36},11.957588780984544,18.600000000000001,133.65287285130631,1.704574309477483,1.3863871050416863,"C#     65",23.523125470789267,19.132142049575272]
["D#     67",1.6,48,8.0587593892209011,{"$f":"E105","v":6.4587593892209005},{"$f":"F105","v":36},11.006085722389543,17.399999999999999,130.89283811984049,1.5689359547240971,1.2760679098422658,"D#     67",21.651316175192541,17.609737155823268]
["F#     70",1.6,48,{"$f":"E188+B188","v":7.7499533965677934},{"$f":"E108","v":6.1499533965677937},{"$f":"F108","v":36},9.4995392129474467,15.5,126.52278312835294,1.3541752263645683,1.1013958507765156,"F#     70",18.687618123831044,15.199262740715916]
["G#    72",1.6,48,7.554918032786885,{"$f":"E110","v":5.9549180327868854},{"$f":"F110","v":36},8.5480361543524452,14.3,123.76274839688713,1.2185368716111824,0.99107665557709501,"G#    72",16.815808828234317,13.676857846963912]
["A#     74",1.6,47,7.3436297220242341,{"$f":"E112","v":5.7436297220242345},{"$f":"F112","v":35},8.5172411742078609,13,120.77271077113252,1.2141469956105289,0.98750622309656355,"A#     74",16.7552285394253,13.627585878732578]
["C#     77",1.6,47,7.0185707823893857,{"$f":"E115","v":5.4185707823893861},{"$f":"F115","v":35},6.9314027432161893,11,116.17265288535617,0.98808307102155224,0.80364089776419589,"C#     77",13.635546380097422,11.090244389145903]
["D#     79",1.6,47,6.7910295246449905,{"$f":"E117","v":5.1910295246449909},{"$f":"F117","v":35},5.8213158415220079,9.6,112.95261236531272,0.82983832380926692,0.67493517003153713,"D#     79",11.451768868567884,9.3141053464352126]
["F#     82",1.6,47,6.4659705850101421,{"$f":"E120","v":4.8659705850101425},{"$f":"F120","v":35},4.2354774105303363,7.6,108.35255447953638,0.60377439922029019,0.49106984469916942,"F#     82",8.3320867092400057,6.7767638568485387]
["G#    84",1.6,47,6.2546822742474912,{"$f":"E122","v":4.6546822742474916},{"$f":"F122","v":35},3.2046824303857449,6.3,105.36251685378176,0.45683284823745468,0.37155738323312987,"G#    84",6.3042933056768753,5.1274918886171923]
["A#     86",1.6,46,6.0433939634848404,{"$f":"E124","v":4.4433939634848398},{"$f":"F124","v":34},3.1738874502411676,5,102.37247922802715,0.45244297223680219,0.36798695075259918,"A#     86",6.2437130168678703,5.0782199203858687]
[]
[null,null,null,{"$f":"AVERAGE(D160:D195)","v":9.5052716705959721},{"$f":"AVERAGE(E160:E195)","v":7.9052716705959734},null,null,null,{"$f":"AVERAGE(I160:I195)","v":151.36309571154527},{"$f":"AVERAGE(J160:J195)","v":2.3179944562160766},{"$f":"AVERAGE(K160:K195)","v":1.8752669972653446},null,{"$f":"SUM(M160:M195)/1000","v":1.1515796458481466},{"$f":"SUM(N160:N195)/1000","v":0.93163264424142334}]
[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,{"$f":"M197*2.2","v":2.533475220865923},{"$f":"N197*2.2","v":2.0495918173311316}]
[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,{"$f":"AY17-4","v":10},6,2,-2,-6,-10,-14,-18,-22,-26,-30,-34,-38,-42]
[null,"       enter here",null,null,null,null,null,"enter here",null,{"$f":"1/(M7/M4)","v":1.2808988764044944},{"$f":"1/(($M$7 - 2)/$M$4)","v":1.2954545454545456},{"$f":"1/((L17 - 2)/$M$4)","v":1.3571428571428572},1.3902439024390243,1.425,1.4615384615384615,1.5,1.5405405405405406,1.5833333333333335,1.6285714285714286,1.6764705882352942,1.7272727272727273,1.78125,1.8387096774193548,1.9000000000000001,1.9655172413793103,2.035714285714286,2.1111111111111112,2.1923076923076925,2.2800000000000002,2.375,2.4782608695652177,2.5909090909090913,2.7142857142857144,2.85,3,3.166666666666667,3.3529411764705883,3.5625,3.8000000000000003,4.0714285714285721,4.384615384615385,4.75,5.1818181818181825,{"$f":"1/((AR17 - 2)/$M$4)","v":5.7},6.3333333333333339,7.125,8.1428571428571441,9.5,11.4,14.25,19,28.5,57,{"$error":"#DIV/0!"},-57,-28.5,-19,-14.25,-11.4,-9.5,-8.1428571428571441,-7.125,-6.3333333333333339,-5.7,-5.1818181818181825]
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[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]
[]
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[" ",null,null,null,"Lead Width","Weight"]
[null,"Enter lead width and weight -->>",null,null,0.45,15]
[null,null,"Go to link below for details.",null,{"$f":"E110-0.02","v":0.43},{"$f":"(F110*E111)/E110","v":14.333333333333334}]
[null,"www.gravagne.com/FWA.doc",null,null,{"$f":"E111-0.02","v":0.41},{"$f":"(F111*E112)/E111","v":13.666666666666668}]
[null,null,null,null,0.38999999999999996,13.000000000000002]
[null,null,null,null,0.36999999999999994,12.333333333333334]
[null,null,null,null,0.34999999999999992,11.666666666666666]
[null,null,null,null,0.3299999999999999,10.999999999999998]
[null,null,null,null,0.30999999999999989,10.333333333333332]
[null,null,null,null,0.28999999999999987,9.6666666666666643]
[null,null,null,null,0.26999999999999985,8.9999999999999982]
[null,null,null,null,0.24999999999999986,8.3333333333333321]
[null,null,null,null,0.22999999999999987,7.6666666666666661]
[null,null,null,null,0.20999999999999988,6.9999999999999991]
[null,null,null,null,0.18999999999999989,6.3333333333333321]
[null,null,null,null,0.1699999999999999,5.6666666666666652]
[null,null,null,null,0.14999999999999991,4.9999999999999991]
[null,null,null,null,0.12999999999999992,4.3333333333333321]
[null,null,null,null,0.10999999999999992,3.6666666666666652]

{"sheet":"Measure Parts","index":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":true,"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"]
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[null,null,null,null,null,"OVERALL KEY LENGTH AND KEY WEIGHT IN GRAMS"]
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[null,null,null,null,null,null,{"$f":"J19","v":482},"mm",{"$f":"G34/1000","v":0.48199999999999998}]
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[null,null,null,null,{"$f":"G34-L39","v":236},"mm",{"$f":"E39/1000","v":0.23599999999999999},null,null,null,null,{"$f":"J17","v":246},"mm",{"$f":"L39/1000","v":0.246}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"L39/2","v":123}]
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[1881146979]
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[]
[]
[null,null,null,null,{"$f":"F48/1000","v":7.1583402489626552E-2},{"$f":"I52*(E39/G34)","v":71.58340248962655},null,null,null,null,{"$f":"N48+F48","v":146.19999999999999},null,null,{"$f":"I52*(L39/G34)","v":74.616597510373438},{"$f":"N48/1000","v":7.4616597510373445E-2}]
[null,null,null,null,null,"mass pro",null,null,null,null,null,null,null,"mass pro"]
[]
[]
[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":true,"merged":[[0,2,0,7]]}
[null,null,"Note that graphs only appear in the full AGP program. ",null,null,null,null,null,"Also, if graph data does not appear, and you have the full AGP program,"]
[null,null,null,null,null,null,null,null,"go to the Main Page and click on the button that says \"More Advanced Detail\""]
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[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"]
[]
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[]
[]
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[]
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[]
[]
[]
[null,null,"Note Color Coding ",null,null,"for data entry ",null,null,"an auto-calculated value",null,null,null,"a carried or restated value"]
[]
[null,null,null,null,null,"Method 1 per Shank Angle \"Rotation\""]
[]
[null,null,null,null,null,{"$f":"180 - (N38+F34)","v":67.819655697982768},"°"]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,{"$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"]

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

{"sheet":"Ham. Wts Archive","index":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]
[null,"C     4",9.1,8.8000000000000007,10.7,10.8,11.7,11.861760500000001,7.2468379000000009,9.7009921000000006,8.6192302999999999]
[null,"C#   5",9.1,8.9,10.6,10.9,11.6,11.7891791,7.1787922999999996,9.6178691000000001,8.6025273000000002]
[null,"D     6",9.1,8.8000000000000007,10.5,10.9,11.55,11.715878200000001,7.1131308999999998,9.5359958999999996,8.5847063000000006]
[null,"D#   7",8.9,8.6999999999999993,10.6,11,11.5,11.6418579,7.0497700000000005,9.4553357000000009,8.5657671999999998]
[null,"E     8",8.6999999999999993,8.8000000000000007,10.5,11,11.45,11.567118199999999,6.9886258000000012,9.3758517999999995,8.5457102000000003]
[null,"F     9",8.6999999999999993,9,10.199999999999999,11,11.4,11.4916591,6.9296147000000001,9.2975074000000006,8.5245350999999996]
[null,"F#   10",8.6999999999999993,9.1,10.5,11,11.36,11.415480499999999,6.8726529000000003,9.2202657000000006,8.5022421000000001]
[null,"G    11",8.8000000000000007,9.3000000000000007,10.5,11,11.32,11.338582600000001,6.8176569000000011,9.1440900999999997,8.4788309999999996]
[null,"G#  12",8.6999999999999993,9.3000000000000007,10.4,10.4,11.28,11.2609651,6.764542800000001,9.0689437000000002,8.4543019000000008]
[null,"A     13",9.3000000000000007,9.1999999999999993,10.3,10.5,11.23,11.182628299999999,6.713227100000001,8.9947897999999995,8.4286548000000003]
[null,"A#   14",9.1,9.1,10.1,10.4,11.18,11.103572099999999,6.6636258999999995,8.9215917000000005,8.4018896999999999]
[null,"B    15",8.9,9.1999999999999993,10,10.4,11.13,11.0237964,6.6156556999999996,8.8493124999999999,8.3740065999999995]
[null,"C    16",9,9.1,9.8000000000000007,10.4,11.08,10.9433013,6.5692328,8.7779155000000006,8.3450054999999992]
[null,"C#  17",8.9,8.8000000000000007,9.9,10.199999999999999,11.02,10.8620868,6.5242734000000002,8.7073640999999995,8.3148864000000007]
[null,"D    18",8.8000000000000007,8.8000000000000007,10.1,10.199999999999999,10.95,10.7801528,6.4806938000000009,8.6376213000000011,8.2836493000000004]
[null,"D#  19",8.6999999999999993,8.5,9.9,10,10.88,10.6974994,6.4384104000000004,8.568650400000001,8.2512942000000002]
[null,"E     20",8.6999999999999993,8.3000000000000007,9.9,10.1,10.81,10.614126600000001,6.3973394999999993,8.5004147999999997,8.2178210000000007]
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[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]]}
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[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,{"$f":"Compare!B3","v":"Standard Action"}]
[null,"Carry Ins",null,null,null,"Compliance","Resistance"]
[null,"DAR = ",{"$f":"'Simple AR Calculator'!H8","v":4.924889680012674}]
[null,"MAR =",{"$f":"'Simple AR Calculator'!H7","v":5.4820261437908497},5.61,"SW ratio",null,{"$f":"C8* C16","v":74.007352941176478}]
[null,"Key Ro =",{"$f":"'Simple AR Calculator'!C23","v":1.9672131147540985},null,"Friction",null,{"$f":"(C14 - C15) / 2","v":16}]
[null,"DW target =",50,null,"WRW Ro",null,{"$f":"C17/C9","v":9.5058333333333316}]
[null,null,null,null,"KIW ",null,{"$f":"C18","v":0}]
[null,"User Inputs",null,null,"Total Res. ",null,{"$f":"SUM(G8:G11)","v":99.513186274509806}]
[null,"FW=",0]
[null,"DW =",100,null,"DW target",56]
[null,"UW =",68,null,"FW trial",{"$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":43.513186274509806}]
[null,"KIW = ",0]
[null,"Leads trial =",88,null,"Leads req'd"]
[null,null,null,null,"key center"]
[null,null,null,null,"loaded",null,{"$f":"F17*2","v":87.026372549019612}]
[]
[null,null,null,null,"Actual trial",null,{"$f":"C19","v":88}]
[null,null,null,null,"Difference",null,{"$f":"G21-G23","v":-0.97362745098038772}]
[null,"Back to Compare",null,null,"Effect @ DW",null,{"$f":"G24/2","v":-0.48681372549019386}]
[]
[]
[]
[null,"Snippet capture below Yamaha Adj. taken 9/13/2018"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"Snippet capture below ADJUSTABLE taken 9/15/2018 Re 44 g DW target"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"Snippet capture below ADJUSTABLE taken 9/15/2018 Re 50 g DW target"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"Snippet capture below YC mdl. taken 9/23/2018 Re 56 g DW target"]

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