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["Tabular Islamic Calendar Lunar Cycle Jitter Relative to Mean Month"]
[]
[{"$f":"\"Lunar cycle contains \"&MPC&\" months (\"&FMPC&\" full, \"&DMPC&\" deficient) = \"&DPC&\" days = \"&reducefraction(DPC,7,FALSE,FALSE,TRUE)&\" weeks.  Each lunar year has 12 months.  \"&IF(Reverse,\"After a common year odd-numbered\",)","v":"Lunar cycle contains 360 months (191 full, 169 deficient) = 10631 days = 1518+5/7 weeks.  Each lunar year has 12 months.  "}]
[{"$f":"IF(Reverse,,\"Odd-numbered \")&\"months have 30 days, even-numbered months have 29 days.\"&IF(Reverse,\"  After a leap year odd-numbered months have 29 days, even-numbered months\",)","v":"Odd-numbered months have 30 days, even-numbered months have 29 days."}]
[{"$f":"IF(Reverse,\"have 30 days.  \",)&\"Year y is a leap year if and only if (11y + \"&Offset&\") MOD 30 < 11, in which case the 12th month has 30 days.\"","v":"Year y is a leap year if and only if (11y + 0) MOD 30 < 11, in which case the 12th month has 30 days."}]
[{"$f":"\"Leap years in each cycle are: \"&islamic_leap_years(Offset)&\".  Common years = FDFDFDFDFDFD\"&IF(Reverse,\" or DFDFDFDFDFDF\",)&\" = 354 days.\"","v":"Leap years in each cycle are: 3, 6, 9, 11, 14, 17, 20, 22, 25, 28, 30.  Common years = FDFDFDFDFDFD = 354 days."}]
[{"$f":"\"Leap years = FDFDFDFDFDFF = 355 days.\"","v":"Leap years = FDFDFDFDFDFF = 355 days."}]
[{"$f":"\"Mean month = \"&\"29+\"&reducefraction(FMPC,MPC,FALSE,FALSE,TRUE)&\" days = 29d 12h 44m \"&reducefraction(240*(360*FMPC-191*MPC),MPC,FALSE,FALSE,TRUE)&\" seconds, or about 29\"&MID(FMPC/MPC,2,20)&\" days or 29d 12h 44m \"&ROUND(240*(360*FMPC-191*MPC)/MPC,6)&\" seconds.\"","v":"Mean month = 29+191/360 days = 29d 12h 44m 0 seconds, or about 29.530555555555556 days or 29d 12h 44m 0 seconds."}]
[{"$f":"\"Duration per ''Part'' = 1/\"&MPC&\" day = \"&reducefraction(24,MPC,FALSE,FALSE,TRUE)&\" hour = \"&reducefraction(1440,MPC,FALSE,FALSE,TRUE)&\" minutes = \"&reducefraction(86400,MPC,FALSE,FALSE,TRUE)&\" seconds.  One hour = \"&reducefraction(MPC,24,FALSE,FALSE,TRUE)&\" parts.\"","v":"Duration per ''Part'' = 1/360 day = 1/15 hour = 4 minutes = 240 seconds.  One hour = 15 parts."}]
[]
[{"$nulls":16},true]
{"$rows_empty":8}
[{"$nulls":16},11]
[{"$nulls":16},"Selected"]
[{"$nulls":16},"Month"]
[{"$nulls":16},"in Year"]
[{"$nulls":16},"(1 to 12)"]
[]
[]
[]
[]
[]
[{"$nulls":16},2]
[{"$nulls":16},"Selected"]
[{"$nulls":16},"Month 2"]
[{"$nulls":16},"in Year"]
[{"$nulls":16},"(1 to 12)"]
[]
[]
[]
[]
[]
[]
[{"$nulls":16},0]
[{"$nulls":16},"Leap"]
[{"$nulls":16},"Rule"]
[{"$nulls":16},"Offset"]
[{"$nulls":16},"(0 to 29)"]

{"sheet":"Data","index":1,"n_rows":394,"n_cols":9,"rows_kept":394}
["Lunar Cycle Jitter Evaluator"]
["by Dr. Irv Bromberg, University of Toronto, Canada"]
["http://individual.utoronto.ca/intervalmath/jitter/index.html",null,null,"Jitter","(parts)"]
[{"$nulls":3},{"$f":"MAX(H:H)","v":458},"maximum",{"$f":"reducefraction(JitterMax*MPC,MPC,FALSE,FALSE,FALSE)","v":"458"}]
["Months per Cycle (Parts per Day):",360,"months (parts)",{"$f":"MIN(H:H)","v":-169},"minimum",{"$f":"reducefraction(JitterMin*MPC,MPC,FALSE,FALSE,FALSE)","v":"–(169)"}]
["30-day Months per Cycle:",191,"months",{"$f":"D4-D5","v":627},"range",{"$f":"reducefraction(JitterRange*MPC,MPC,FALSE,FALSE,FALSE)","v":"627"}]
["29-day Months per Cycle:",{"$f":"MPC-FMPC","v":169},"months",{"$f":"\"Jitter range = \"&F6&\" parts = \"&reducefraction(F6*24,MPC,FALSE,FALSE,FALSE)&\" hours\"","v":"Jitter range = 627 parts = 41 + 4 / 5 hours"}]
["Days per Cycle (Parts per Month):",{"$f":"29*MPC+FMPC","v":10631},"days (parts)"]
[{"$nulls":3},"Limits for Chart:"]
["Mean Month:",{"$f":"\"29 + \"&reducefraction(FMPC,MPC,FALSE,FALSE,FALSE)","v":"29 + 191 / 360"},"days","x","y","Hours"]
["Mean Month >29d:",{"$f":"FMPC/MPC","v":{"v":0.5305555555555556,"d":"0.530555555555556"}},"days",{"$f":"B23","v":1},{"$f":"JitterMax","v":458},{"$f":"E11*24/MPC","v":30.533333333333335}]
["Mean Month >29d 12h 44m:",{"$f":"reducefraction(240*(360*FMPC-191*MPC),MPC,FALSE,FALSE,TRUE)","v":"0"},"seconds",{"$f":"MPC+1","v":361},{"$f":"E11","v":458},{"$f":"E12*24/MPC","v":30.533333333333335}]
["… or approximately:",{"$f":"240*(360*FMPC-191*MPC)/MPC","v":0},"seconds"]
[{"$nulls":3},{"$f":"D11","v":1},0]
[{"$nulls":3},{"$f":"D12","v":361},0]
[]
[{"$nulls":3},{"$f":"B23","v":1},{"$f":"JitterMin","v":-169},{"$f":"E17*24/MPC","v":-11.266666666666667}]
["Duration per Part:",{"$f":"reducefraction(1440,MPC,FALSE,FALSE,FALSE)","v":"4"},"minutes",{"$f":"D12","v":361},{"$f":"E17","v":-169},{"$f":"E18*24/MPC","v":-11.266666666666667}]
["Offset:",{"$f":"Offset","v":0}]
["Leap Years:",{"$f":"islamic_leap_years(Offset)","v":"3, 6, 9, 11, 14, 17, 20, 22, 25, 28, 30"},{"$nulls":6},"Reverse"]
[{"$nulls":8},false]
["Year","Month #","Month in Year","Leap Month?","Month Length","New Month Moment","Elapsed","Difference","Prior Leap"]
[1,1,1,{"$f":"AND(C23=12,MOD(A23*11+Offset,30)<11)","v":false},{"$f":"IF(MOD(C23,2)=1,IF(I23,29,30),IF(I23,30,29))+IF(D23,1,0)","v":30},0,0,{"$f":"F23-G23","v":0},{"$f":"IF(Reverse,MOD((A23-1)*11+Offset,30)<11,FALSE)","v":false}]
[{"$f":"IF(C24=1,A23+1,A23)","v":1},{"$f":"B23+1","v":2},{"$f":"IF(C23=12,1,C23+1)","v":2},false,{"$f":"IF(MOD(C24,2)=1,IF(I24,29,30),IF(I24,30,29))+IF(D24,1,0)","v":29},{"$f":"F23+PPM","v":10631},{"$f":"G23+E23*PPD","v":10800},-169,false]
[1,{"$f":"B24+1","v":3},{"$f":"IF(C24=12,1,C24+1)","v":3},false,30,{"$f":"F24+PPM","v":21262},21240,22,false]
[1,4,4,false,29,31893,32040,-147,false]
[1,5,5,false,30,42524,42480,44,false]
[1,6,6,false,29,53155,53280,-125,false]
[1,7,7,false,30,63786,63720,66,false]
[1,8,8,false,29,74417,74520,-103,false]
[1,9,9,false,30,85048,84960,88,false]
[1,10,10,false,29,95679,95760,-81,false]
[1,11,11,false,30,106310,106200,110,false]
[1,12,12,false,29,116941,117000,-59,false]
[2,13,1,false,30,127572,127440,132,false]
[2,14,2,false,29,138203,138240,-37,false]
[2,15,3,false,30,148834,148680,154,false]
[2,16,4,false,29,159465,159480,-15,false]
[2,17,5,false,30,170096,169920,176,false]
[2,18,6,false,29,180727,180720,7,false]
[2,19,7,false,30,191358,191160,198,false]
[2,20,8,false,29,201989,201960,29,false]
[2,21,9,false,30,212620,212400,220,false]
[2,22,10,false,29,223251,223200,51,false]
[2,23,11,false,30,233882,233640,242,false]
[2,24,12,false,29,244513,244440,73,false]
[3,25,1,false,30,255144,254880,264,false]
[3,26,2,false,29,265775,265680,95,false]
[3,27,3,false,30,276406,276120,286,false]
[3,28,4,false,29,287037,286920,117,false]
[3,29,5,false,30,297668,297360,308,false]
[3,30,6,false,29,308299,308160,139,false]
[3,31,7,false,30,318930,318600,330,false]
[3,32,8,false,29,329561,329400,161,false]
[3,33,9,false,30,340192,339840,352,false]
[3,34,10,false,29,350823,350640,183,false]
[3,35,11,false,30,361454,361080,374,false]
[3,36,12,true,30,372085,371880,205,false]
[4,37,1,false,30,382716,382680,36,false]
[4,38,2,false,29,393347,393480,-133,false]
[4,39,3,false,30,403978,403920,58,false]
[4,40,4,false,29,414609,414720,-111,false]
[4,41,5,false,30,425240,425160,80,false]
[4,42,6,false,29,435871,435960,-89,false]
[4,43,7,false,30,446502,446400,102,false]
[4,44,8,false,29,457133,457200,-67,false]
[4,45,9,false,30,467764,467640,124,false]
[4,46,10,false,29,478395,478440,-45,false]
[4,47,11,false,30,489026,488880,146,false]
[4,48,12,false,29,499657,499680,-23,false]
[5,49,1,false,30,510288,510120,168,false]
[5,50,2,false,29,520919,520920,-1,false]
[5,51,3,false,30,531550,531360,190,false]
[5,52,4,false,29,542181,542160,21,false]
[5,53,5,false,30,552812,552600,212,false]
[5,54,6,false,29,563443,563400,43,false]
[5,55,7,false,30,574074,573840,234,false]
[5,56,8,false,29,584705,584640,65,false]
[5,57,9,false,30,595336,595080,256,false]
[5,58,10,false,29,605967,605880,87,false]
[5,59,11,false,30,616598,616320,278,false]
[5,60,12,false,29,627229,627120,109,false]
[6,61,1,false,30,637860,637560,300,false]
[6,62,2,false,29,648491,648360,131,false]
[6,63,3,false,30,659122,658800,322,false]
[6,64,4,false,29,669753,669600,153,false]
[6,65,5,{"$f":"AND(C87=12,MOD(A87*11+Offset,30)<11)","v":false},30,680384,680040,{"$f":"F87-G87","v":344},{"$f":"IF(Reverse,MOD((A87-1)*11+Offset,30)<11,FALSE)","v":false}]
[{"$f":"IF(C88=1,A87+1,A87)","v":6},66,6,false,{"$f":"IF(MOD(C88,2)=1,IF(I88,29,30),IF(I88,30,29))+IF(D88,1,0)","v":29},691015,{"$f":"G87+E87*PPD","v":690840},175,false]
[6,{"$f":"B88+1","v":67},{"$f":"IF(C88=12,1,C88+1)","v":7},false,30,{"$f":"F88+PPM","v":701646},701280,366,false]
[6,68,8,false,29,712277,712080,197,false]
[6,69,9,false,30,722908,722520,388,false]
[6,70,10,false,29,733539,733320,219,false]
[6,71,11,false,30,744170,743760,410,false]
[6,72,12,true,30,754801,754560,241,false]
[7,73,1,false,30,765432,765360,72,false]
[7,74,2,false,29,776063,776160,-97,false]
[7,75,3,false,30,786694,786600,94,false]
[7,76,4,false,29,797325,797400,-75,false]
[7,77,5,false,30,807956,807840,116,false]
[7,78,6,false,29,818587,818640,-53,false]
[7,79,7,false,30,829218,829080,138,false]
[7,80,8,false,29,839849,839880,-31,false]
[7,81,9,false,30,850480,850320,160,false]
[7,82,10,false,29,861111,861120,-9,false]
[7,83,11,false,30,871742,871560,182,false]
[7,84,12,false,29,882373,882360,13,false]
[8,85,1,false,30,893004,892800,204,false]
[8,86,2,false,29,903635,903600,35,false]
[8,87,3,false,30,914266,914040,226,false]
[8,88,4,false,29,924897,924840,57,false]
[8,89,5,false,30,935528,935280,248,false]
[8,90,6,false,29,946159,946080,79,false]
[8,91,7,false,30,956790,956520,270,false]
[8,92,8,false,29,967421,967320,101,false]
[8,93,9,false,30,978052,977760,292,false]
[8,94,10,false,29,988683,988560,123,false]
[8,95,11,false,30,999314,999000,314,false]
[8,96,12,false,29,1009945,1009800,145,false]
[9,97,1,false,30,1020576,1020240,336,false]
[9,98,2,false,29,1031207,1031040,167,false]
[9,99,3,false,30,1041838,1041480,358,false]
[9,100,4,false,29,1052469,1052280,189,false]
[9,101,5,false,30,1063100,1062720,380,false]
[9,102,6,false,29,1073731,1073520,211,false]
[9,103,7,false,30,1084362,1083960,402,false]
[9,104,8,false,29,1094993,1094760,233,false]
[9,105,9,false,30,1105624,1105200,424,false]
[9,106,10,false,29,1116255,1116000,255,false]
[9,107,11,false,30,1126886,1126440,446,false]
[9,108,12,true,30,1137517,1137240,277,false]
[10,109,1,false,30,1148148,1148040,108,false]
[10,110,2,false,29,1158779,1158840,-61,false]
[10,111,3,false,30,1169410,1169280,130,false]
[10,112,4,false,29,1180041,1180080,-39,false]
[10,113,5,false,30,1190672,1190520,152,false]
[10,114,6,false,29,1201303,1201320,-17,false]
[10,115,7,false,30,1211934,1211760,174,false]
[10,116,8,false,29,1222565,1222560,5,false]
[10,117,9,false,30,1233196,1233000,196,false]
[10,118,10,false,29,1243827,1243800,27,false]
[10,119,11,false,30,1254458,1254240,218,false]
[10,120,12,false,29,1265089,1265040,49,false]
[11,121,1,false,30,1275720,1275480,240,false]
[11,122,2,false,29,1286351,1286280,71,false]
[11,123,3,false,30,1296982,1296720,262,false]
[11,124,4,false,29,1307613,1307520,93,false]
[11,125,5,false,30,1318244,1317960,284,false]
[11,126,6,false,29,1328875,1328760,115,false]
[11,127,7,false,30,1339506,1339200,306,false]
[11,128,8,false,29,1350137,1350000,137,false]
[11,129,9,{"$f":"AND(C151=12,MOD(A151*11+Offset,30)<11)","v":false},30,1360768,1360440,{"$f":"F151-G151","v":328},{"$f":"IF(Reverse,MOD((A151-1)*11+Offset,30)<11,FALSE)","v":false}]
[{"$f":"IF(C152=1,A151+1,A151)","v":11},130,10,false,{"$f":"IF(MOD(C152,2)=1,IF(I152,29,30),IF(I152,30,29))+IF(D152,1,0)","v":29},1371399,{"$f":"G151+E151*PPD","v":1371240},159,false]
[11,{"$f":"B152+1","v":131},{"$f":"IF(C152=12,1,C152+1)","v":11},false,30,{"$f":"F152+PPM","v":1382030},1381680,350,false]
[11,132,12,true,30,1392661,1392480,181,false]
[12,133,1,false,30,1403292,1403280,12,false]
[12,134,2,false,29,1413923,1414080,-157,false]
[12,135,3,false,30,1424554,1424520,34,false]
[12,136,4,false,29,1435185,1435320,-135,false]
[12,137,5,false,30,1445816,1445760,56,false]
[12,138,6,false,29,1456447,1456560,-113,false]
[12,139,7,false,30,1467078,1467000,78,false]
[12,140,8,false,29,1477709,1477800,-91,false]
[12,141,9,false,30,1488340,1488240,100,false]
[12,142,10,false,29,1498971,1499040,-69,false]
[12,143,11,false,30,1509602,1509480,122,false]
[12,144,12,false,29,1520233,1520280,-47,false]
[13,145,1,false,30,1530864,1530720,144,false]
[13,146,2,false,29,1541495,1541520,-25,false]
[13,147,3,false,30,1552126,1551960,166,false]
[13,148,4,false,29,1562757,1562760,-3,false]
[13,149,5,false,30,1573388,1573200,188,false]
[13,150,6,false,29,1584019,1584000,19,false]
[13,151,7,false,30,1594650,1594440,210,false]
[13,152,8,false,29,1605281,1605240,41,false]
[13,153,9,false,30,1615912,1615680,232,false]
[13,154,10,false,29,1626543,1626480,63,false]
[13,155,11,false,30,1637174,1636920,254,false]
[13,156,12,false,29,1647805,1647720,85,false]
[14,157,1,false,30,1658436,1658160,276,false]
[14,158,2,false,29,1669067,1668960,107,false]
[14,159,3,false,30,1679698,1679400,298,false]
[14,160,4,false,29,1690329,1690200,129,false]
[14,161,5,false,30,1700960,1700640,320,false]
[14,162,6,false,29,1711591,1711440,151,false]
[14,163,7,false,30,1722222,1721880,342,false]
[14,164,8,false,29,1732853,1732680,173,false]
[14,165,9,false,30,1743484,1743120,364,false]
[14,166,10,false,29,1754115,1753920,195,false]
[14,167,11,false,30,1764746,1764360,386,false]
[14,168,12,true,30,1775377,1775160,217,false]
[15,169,1,false,30,1786008,1785960,48,false]
[15,170,2,false,29,1796639,1796760,-121,false]
[15,171,3,false,30,1807270,1807200,70,false]
[15,172,4,false,29,1817901,1818000,-99,false]
[15,173,5,false,30,1828532,1828440,92,false]
[15,174,6,false,29,1839163,1839240,-77,false]
[15,175,7,false,30,1849794,1849680,114,false]
[15,176,8,false,29,1860425,1860480,-55,false]
[15,177,9,false,30,1871056,1870920,136,false]
[15,178,10,false,29,1881687,1881720,-33,false]
[15,179,11,false,30,1892318,1892160,158,false]
[15,180,12,false,29,1902949,1902960,-11,false]
[16,181,1,false,30,1913580,1913400,180,false]
[16,182,2,false,29,1924211,1924200,11,false]
[16,183,3,false,30,1934842,1934640,202,false]
[16,184,4,false,29,1945473,1945440,33,false]
[16,185,5,false,30,1956104,1955880,224,false]
[16,186,6,false,29,1966735,1966680,55,false]
[16,187,7,false,30,1977366,1977120,246,false]
[16,188,8,false,29,1987997,1987920,77,false]
[16,189,9,false,30,1998628,1998360,268,false]
[16,190,10,false,29,2009259,2009160,99,false]
[16,191,11,false,30,2019890,2019600,290,false]
[16,192,12,false,29,2030521,2030400,121,false]
[17,193,1,{"$f":"AND(C215=12,MOD(A215*11+Offset,30)<11)","v":false},30,2041152,2040840,{"$f":"F215-G215","v":312},{"$f":"IF(Reverse,MOD((A215-1)*11+Offset,30)<11,FALSE)","v":false}]
[{"$f":"IF(C216=1,A215+1,A215)","v":17},194,2,false,{"$f":"IF(MOD(C216,2)=1,IF(I216,29,30),IF(I216,30,29))+IF(D216,1,0)","v":29},2051783,{"$f":"G215+E215*PPD","v":2051640},143,false]
[17,{"$f":"B216+1","v":195},{"$f":"IF(C216=12,1,C216+1)","v":3},false,30,{"$f":"F216+PPM","v":2062414},2062080,334,false]
[17,196,4,false,29,2073045,2072880,165,false]
[17,197,5,false,30,2083676,2083320,356,false]
[17,198,6,false,29,2094307,2094120,187,false]
[17,199,7,false,30,2104938,2104560,378,false]
[17,200,8,false,29,2115569,2115360,209,false]
[17,201,9,false,30,2126200,2125800,400,false]
[17,202,10,false,29,2136831,2136600,231,false]
[17,203,11,false,30,2147462,2147040,422,false]
[17,204,12,true,30,2158093,2157840,253,false]
[18,205,1,false,30,2168724,2168640,84,false]
[18,206,2,false,29,2179355,2179440,-85,false]
[18,207,3,false,30,2189986,2189880,106,false]
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[206,18,2179355,{"$f":"LOOKUP(A19,Data!B$23:B$394,Data!G$23:G$394)","v":2179440},-85,550,196]
[218,19,2306927,{"$f":"LOOKUP(A20,Data!B$23:B$394,Data!G$23:G$394)","v":2306880},47,550,208]
[230,20,2434499,{"$f":"LOOKUP(A21,Data!B$23:B$394,Data!G$23:G$394)","v":2434320},179,550,220]
[242,21,2562071,{"$f":"LOOKUP(A22,Data!B$23:B$394,Data!G$23:G$394)","v":2562120},-49,550,232]
[254,22,2689643,{"$f":"LOOKUP(A23,Data!B$23:B$394,Data!G$23:G$394)","v":2689560},83,550,244]
[266,23,2817215,{"$f":"LOOKUP(A24,Data!B$23:B$394,Data!G$23:G$394)","v":2817360},-145,550,256]
[278,24,2944787,{"$f":"LOOKUP(A25,Data!B$23:B$394,Data!G$23:G$394)","v":2944800},-13,550,268]
[290,25,3072359,{"$f":"LOOKUP(A26,Data!B$23:B$394,Data!G$23:G$394)","v":3072240},119,550,280]
[302,26,3199931,{"$f":"LOOKUP(A27,Data!B$23:B$394,Data!G$23:G$394)","v":3200040},-109,550,292]
[314,27,3327503,{"$f":"LOOKUP(A28,Data!B$23:B$394,Data!G$23:G$394)","v":3327480},23,550,304]
[326,28,3455075,{"$f":"LOOKUP(A29,Data!B$23:B$394,Data!G$23:G$394)","v":3454920},155,550,316]
[338,29,3582647,{"$f":"LOOKUP(A30,Data!B$23:B$394,Data!G$23:G$394)","v":3582720},-73,550,328]
[350,30,3710219,{"$f":"LOOKUP(A31,Data!B$23:B$394,Data!G$23:G$394)","v":3710160},59,550,340]
[362,1,3837791,{"$f":"LOOKUP(A32,Data!B$23:B$394,Data!G$23:G$394)","v":3837960},-169,550,352]

{"sheet":"Rules","index":4,"n_rows":57,"n_cols":3,"rows_kept":57}
["odd-numbered months have 30 days, even numbered months have 29 days"]
["except in leap year when 12th (final) month has 30 days"]
["11 leap years of 355 days",{"$f":"(6*30+6*29+1)*11","v":3905},"days"]
["19 years of 354 days",{"$f":"(6*30+6*29)*19","v":6726},"days"]
["Total of 30 lunar years",{"$f":"SUM(B3:B4)","v":10631},"days"]
[null,360,"months"]
[]
["leap years are 2, 5, 7, 10, 13, 16, 18, 21, 24, 26, 29"]
["whenever the remainder at end of year exceeds 1/2 day (15/30 day)"]
["year y is leap if and only if (11y+14) MOD 30 < 11"]
[]
["alternative sequences:"]
["remainder equals or exceeds 1/2 day = 2, 5, 7, 10, 13, 15, 18, 21, 24, 26, 29"]
["year y is leap if and only if (11y+15) MOD 30 < 11"]
[]
["Ismaili Tayyebi (Bohras): 2, 5, 8, 10, 13, 16, 19, 21, 24, 27, 29"]
["year y is leap if and only if (11y+11) MOD 30 < 11"]
[]
["2, 5, 8, 11, 13, 16, 19, 21, 24, 27, 30"]
["year y is leap if and only if (11y+9) MOD 30 < 11"]
[]
["epoch sunset Thu July 15, 622 CE Julian"]
["RD 227015"]
[]
[null,"Target:","2, 5, 7, 10, 13, 16, 18, 21, 24, 26, 29"]
[]
["Equal","Offset","List of Leap Years"]
[{"$f":"C$25=C28","v":false},1,{"$f":"islamic_leap_years(B28)","v":"3, 6, 9, 11, 14, 17, 19, 22, 25, 28, 30"}]
[false,2,"3, 6, 8, 11, 14, 17, 19, 22, 25, 28, 30"]
[false,3,"3, 6, 8, 11, 14, 17, 19, 22, 25, 27, 30"]
[false,4,"3, 6, 8, 11, 14, 16, 19, 22, 25, 27, 30"]
[false,5,"3, 5, 8, 11, 14, 16, 19, 22, 25, 27, 30"]
[false,6,"3, 5, 8, 11, 14, 16, 19, 22, 24, 27, 30"]
[false,7,"3, 5, 8, 11, 13, 16, 19, 22, 24, 27, 30"]
[false,8,"2, 5, 8, 11, 13, 16, 19, 22, 24, 27, 30"]
[false,9,"2, 5, 8, 11, 13, 16, 19, 21, 24, 27, 30"]
[false,10,"2, 5, 8, 10, 13, 16, 19, 21, 24, 27, 30"]
[false,11,"2, 5, 8, 10, 13, 16, 19, 21, 24, 27, 29"]
[false,12,"2, 5, 8, 10, 13, 16, 18, 21, 24, 27, 29"]
[false,13,"2, 5, 7, 10, 13, 16, 18, 21, 24, 27, 29"]
[true,14,"2, 5, 7, 10, 13, 16, 18, 21, 24, 26, 29"]
[false,15,"2, 5, 7, 10, 13, 15, 18, 21, 24, 26, 29"]
[false,16,"2, 4, 7, 10, 13, 15, 18, 21, 24, 26, 29"]
[false,17,"2, 4, 7, 10, 13, 15, 18, 21, 23, 26, 29"]
[false,18,"2, 4, 7, 10, 12, 15, 18, 21, 23, 26, 29"]
[false,19,"1, 4, 7, 10, 12, 15, 18, 21, 23, 26, 29"]
[false,20,"1, 4, 7, 10, 12, 15, 18, 20, 23, 26, 29"]
[false,21,"1, 4, 7, 9, 12, 15, 18, 20, 23, 26, 29"]
[false,22,"1, 4, 7, 9, 12, 15, 18, 20, 23, 26, 28"]
[false,23,"1, 4, 7, 9, 12, 15, 17, 20, 23, 26, 28"]
[false,24,"1, 4, 6, 9, 12, 15, 17, 20, 23, 26, 28"]
[false,25,"1, 4, 6, 9, 12, 15, 17, 20, 23, 25, 28"]
[false,26,"1, 4, 6, 9, 12, 14, 17, 20, 23, 25, 28"]
[false,27,"1, 3, 6, 9, 12, 14, 17, 20, 23, 25, 28"]
[false,28,"1, 3, 6, 9, 12, 14, 17, 20, 22, 25, 28"]
[false,29,"1, 3, 6, 9, 11, 14, 17, 20, 22, 25, 28"]
[false,30,"3, 6, 9, 11, 14, 17, 20, 22, 25, 28, 30"]

{"sheet":"Zoom","index":5,"n_rows":7,"n_cols":6,"rows_kept":7}
[0,"= Current Zoom Level"]
["Level","Months","MajorTick","MinorTick","Shift","Connect"]
[{"$f":"ROW()-3","v":0},360,24,12,null,false]
[{"$f":"ROW()-3","v":1},{"$f":"B3/2","v":180},12,6,90,false]
[{"$f":"ROW()-3","v":2},{"$f":"B4/2","v":90},6,1,30,true]
[{"$f":"ROW()-3","v":3},60,6,1,30,true]
[{"$f":"ROW()-3","v":4},12,1,1,12,true]

{"sheet":"Labels","index":6,"n_rows":26,"n_cols":3,"rows_kept":26}
["Month","Hours",{"$f":"\"Span \"&B2-B26&\"h\"","v":"Span 72h"}]
[361,36]
[{"$f":"A2","v":361},{"$f":"B2-3","v":33}]
[{"$f":"A3","v":361},{"$f":"B3-3","v":30}]
[{"$f":"A4","v":361},27]
[{"$f":"A5","v":361},24]
[361,21]
[361,18]
[361,15]
[361,12]
[361,9]
[361,6]
[361,3]
[361,0]
[361,-3]
[361,-6]
[361,-9]
[361,-12]
[361,-15]
[361,-18]
[361,-21]
[361,-24]
[361,-27]
[361,-30]
[361,-33]
[361,-36]