{"text_format":"3","workbook":"xlsx","n_sheets":6,"sheets":["Chart","Data","Years","Rules","Zoom","Labels"],"not_rendered":{"charts":1,"macros":1,"defined_names":15},"read":"whole","date_system":"1900"}

{"sheet":"Chart","index":0,"n_rows":23,"n_cols":17,"rows_kept":23}
["Lunar Cycle Jitter:  Seventeen-Month Lunar Calendar"]
["http://www.hermetic.ch/cal_stud/palmen/lun17m.htm"]
[{"$f":"\"Cycle contains \"&MPC&\" months (\"&FMPC&\" full, \"&DMPC&\" deficient) = \"&DPC&\" days = \"&reducefraction(DPC,7,FALSE,FALSE,TRUE)&\" weeks.\"","v":"Cycle contains 850 months (451 full, 399 deficient) = 25101 days = 3585+6/7 weeks."}]
["Lunar years have 17 lunar months, odd-numbered months have 30 days,"]
["even-numbered months have 29 days, except 8th month of the 50th year, which has 30 days."]
[{"$f":"\"Mean month = \"&\"29+\"&reducefraction(FMPC,MPC,FALSE,FALSE,TRUE)&\" days = 29d 12h 44m and \"&reducefraction(240*(360*FMPC-191*MPC),MPC,FALSE,FALSE,TRUE)&\" seconds\"","v":"Mean month = 29+451/850 days = 29d 12h 44m and 2+14/17 seconds"}]
[{"$f":"\"or approximately 29\"&MID(FMPC/MPC,2,20)&\" days = 29d 12h 44m and \"&ROUND(240*(360*FMPC-191*MPC)/MPC,6)&\" seconds.\"","v":"or approximately 29.530588235294118 days = 29d 12h 44m and 2.823529 seconds."}]
[{"$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'' = 1/850 day = 12/425 hour = 1+59/85 minutes = 101+11/17 seconds;  one hour = 35+5/12 parts."}]
[]
[]
[]
[{"$nulls":16},false]
[]
[]
[]
[]
[]
[]
[{"$nulls":16},1]
[{"$nulls":16},"Selected"]
[{"$nulls":16},"Month"]
[{"$nulls":16},"in Year"]
[{"$nulls":16},"(1 to 17)"]

{"sheet":"Data","index":1,"n_rows":1721,"n_cols":8,"rows_kept":1721}
["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":1232},"maximum",{"$f":"reducefraction(JitterMax*MPC,MPC,FALSE,FALSE,FALSE)","v":"1232"}]
["Months per Cycle (Parts per Day):",850,"months (parts)",{"$f":"MIN(H:H)","v":-399},"minimum",{"$f":"reducefraction(JitterMin*MPC,MPC,FALSE,FALSE,FALSE)","v":"–(399)"}]
["30-day Months per Cycle:",451,"months",{"$f":"D4-D5","v":1631},"range",{"$f":"reducefraction(JitterRange*MPC,MPC,FALSE,FALSE,FALSE)","v":"1631"}]
["29-day Months per Cycle:",{"$f":"MPC-FMPC","v":399},"months",{"$f":"\"Jitter range = \"&F6&\" parts = \"&reducefraction(F6*24,MPC,FALSE,FALSE,FALSE)&\" hours\"","v":"Jitter range = 1631 parts = 46 + 22 / 425 hours"}]
["Days per Cycle (Parts per Month):",{"$f":"29*MPC+FMPC","v":25101},"days (parts)"]
[{"$nulls":3},"Limits for Chart:"]
["Mean Month:",{"$f":"\"29 + \"&reducefraction(FMPC,MPC,FALSE,FALSE,FALSE)","v":"29 + 451 / 850"},"days","x","y","Hours"]
["Mean Month >29d:",{"$f":"FMPC/MPC","v":{"v":0.5305882352941177,"d":"0.530588235294118"}},"days",{"$f":"A21","v":1},{"$f":"JitterMax","v":1232},{"$f":"E11*24/MPC","v":34.78588235294118}]
["Mean Month >29d 12h 44m:",{"$f":"reducefraction(240*(360*FMPC-191*MPC),MPC,FALSE,FALSE,TRUE)","v":"2+14/17"},"seconds",{"$f":"D11+MPC*2","v":1701},{"$f":"E11","v":1232},{"$f":"E12*24/MPC","v":34.78588235294118}]
["… or approximately:",{"$f":"240*(360*FMPC-191*MPC)/MPC","v":2.823529411764706},"seconds"]
[{"$nulls":3},{"$f":"D11","v":1},0]
[{"$nulls":3},{"$f":"D12","v":1701},0]
[]
[{"$nulls":3},{"$f":"A21","v":1},{"$f":"JitterMin","v":-399},{"$f":"E17*24/MPC","v":-11.265882352941176}]
["Duration per Part:",{"$f":"reducefraction(1440,MPC,FALSE,FALSE,FALSE)","v":"1 + 59 / 85"},"minutes",{"$f":"D12","v":1701},{"$f":"E17","v":-399},{"$f":"E18*24/MPC","v":-11.265882352941176}]
[]
["Month in Cycle","Lunar Year","Month in Year","Leap Month?","Month Length","New Month Moment","Elapsed","Difference"]
[1,1,1,{"$f":"AND(MOD(B21,50)=0,C21=8)","v":false},{"$f":"IF(MOD(C21,2)=1,30,29)+IF(D21,1,0)","v":30},0,0,{"$f":"F21-G21","v":0}]
[{"$f":"A21+1","v":2},{"$f":"IF(C22=1,B21+1,B21)","v":1},{"$f":"IF(C21=17,1,C21+1)","v":2},{"$f":"AND(MOD(B22,50)=0,C22=8)","v":false},{"$f":"IF(MOD(C22,2)=1,30,29)+IF(D22,1,0)","v":29},{"$f":"F21+PPM","v":25101},{"$f":"G21+E21*PPD","v":25500},-399]
[{"$f":"A22+1","v":3},1,{"$f":"IF(C22=17,1,C22+1)","v":3},false,30,{"$f":"F22+PPM","v":50202},50150,52]
[4,1,4,false,29,75303,75650,-347]
[5,1,5,false,30,100404,100300,104]
[6,1,6,false,29,125505,125800,-295]
[7,1,7,false,30,150606,150450,156]
[8,1,8,false,29,175707,175950,-243]
[9,1,9,false,30,200808,200600,208]
[10,1,10,false,29,225909,226100,-191]
[11,1,11,false,30,251010,250750,260]
[12,1,12,false,29,276111,276250,-139]
[13,1,13,false,30,301212,300900,312]
[14,1,14,false,29,326313,326400,-87]
[15,1,15,false,30,351414,351050,364]
[16,1,16,false,29,376515,376550,-35]
[17,1,17,false,30,401616,401200,416]
[18,2,1,false,30,426717,426700,17]
[19,2,2,false,29,451818,452200,-382]
[20,2,3,false,30,476919,476850,69]
[21,2,4,false,29,502020,502350,-330]
[22,2,5,false,30,527121,527000,121]
[23,2,6,false,29,552222,552500,-278]
[24,2,7,false,30,577323,577150,173]
[25,2,8,false,29,602424,602650,-226]
[26,2,9,false,30,627525,627300,225]
[27,2,10,false,29,652626,652800,-174]
[28,2,11,false,30,677727,677450,277]
[29,2,12,false,29,702828,702950,-122]
[30,2,13,false,30,727929,727600,329]
[31,2,14,false,29,753030,753100,-70]
[32,2,15,false,30,778131,777750,381]
[33,2,16,false,29,803232,803250,-18]
[34,2,17,false,30,828333,827900,433]
[35,3,1,false,30,853434,853400,34]
[{"$f":"A55+1","v":36},3,2,false,29,878535,878900,-365]
[37,3,3,false,30,903636,903550,86]
[38,3,4,false,29,928737,929050,-313]
[39,3,5,false,30,953838,953700,138]
[40,3,6,false,29,978939,979200,-261]
[41,3,7,false,30,1004040,1003850,190]
[42,3,8,false,29,1029141,1029350,-209]
[43,3,9,false,30,1054242,1054000,242]
[44,3,10,false,29,1079343,1079500,-157]
[45,3,11,false,30,1104444,1104150,294]
[46,3,12,false,29,1129545,1129650,-105]
[47,3,13,false,30,1154646,1154300,346]
[48,3,14,false,29,1179747,1179800,-53]
[49,3,15,false,30,1204848,1204450,398]
[50,3,16,false,29,1229949,1229950,-1]
[51,3,17,false,30,1255050,1254600,450]
[52,4,1,false,30,1280151,1280100,51]
[53,4,2,false,29,1305252,1305600,-348]
[54,4,3,false,30,1330353,1330250,103]
[55,4,4,false,29,1355454,1355750,-296]
[56,4,5,false,30,1380555,1380400,155]
[57,4,6,false,29,1405656,1405900,-244]
[58,4,7,false,30,1430757,1430550,207]
[59,4,8,false,29,1455858,1456050,-192]
[60,4,9,false,30,1480959,1480700,259]
[61,4,10,false,29,1506060,1506200,-140]
[62,4,11,false,30,1531161,1530850,311]
[63,4,12,false,29,1556262,1556350,-88]
[64,4,13,false,30,1581363,1581000,363]
[65,4,14,false,29,1606464,1606500,{"$f":"F85-G85","v":-36}]
[66,{"$f":"IF(C86=1,B85+1,B85)","v":4},15,{"$f":"AND(MOD(B86,50)=0,C86=8)","v":false},{"$f":"IF(MOD(C86,2)=1,30,29)+IF(D86,1,0)","v":30},1631565,{"$f":"G85+E85*PPD","v":1631150},415]
[67,4,{"$f":"IF(C86=17,1,C86+1)","v":16},false,29,{"$f":"F86+PPM","v":1656666},1656650,16]
[68,4,17,false,30,1681767,1681300,467]
[69,5,1,false,30,1706868,1706800,68]
[70,5,2,false,29,1731969,1732300,-331]
[71,5,3,false,30,1757070,1756950,120]
[72,5,4,false,29,1782171,1782450,-279]
[73,5,5,false,30,1807272,1807100,172]
[74,5,6,false,29,1832373,1832600,-227]
[75,5,7,false,30,1857474,1857250,224]
[76,5,8,false,29,1882575,1882750,-175]
[77,5,9,false,30,1907676,1907400,276]
[78,5,10,false,29,1932777,1932900,-123]
[79,5,11,false,30,1957878,1957550,328]
[80,5,12,false,29,1982979,1983050,-71]
[81,5,13,false,30,2008080,2007700,380]
[82,5,14,false,29,2033181,2033200,-19]
[83,5,15,false,30,2058282,2057850,432]
[84,5,16,false,29,2083383,2083350,33]
[85,5,17,false,30,2108484,2108000,484]
[86,6,1,false,30,2133585,2133500,85]
[87,6,2,false,29,2158686,2159000,-314]
[88,6,3,false,30,2183787,2183650,137]
[89,6,4,false,29,2208888,2209150,-262]
[90,6,5,false,30,2233989,2233800,189]
[91,6,6,false,29,2259090,2259300,-210]
[92,6,7,false,30,2284191,2283950,241]
[93,6,8,false,29,2309292,2309450,-158]
[94,6,9,false,30,2334393,2334100,293]
[95,6,10,false,29,2359494,2359600,-106]
[96,6,11,false,30,2384595,2384250,345]
[97,6,12,false,29,2409696,2409750,-54]
[98,6,13,false,30,2434797,2434400,397]
[99,6,14,false,29,2459898,2459900,-2]
[{"$f":"A119+1","v":100},6,15,false,30,2484999,2484550,449]
[101,6,16,false,29,2510100,2510050,50]
[102,6,17,false,30,2535201,2534700,501]
[103,7,1,false,30,2560302,2560200,102]
[104,7,2,false,29,2585403,2585700,-297]
[105,7,3,false,30,2610504,2610350,154]
[106,7,4,false,29,2635605,2635850,-245]
[107,7,5,false,30,2660706,2660500,206]
[108,7,6,false,29,2685807,2686000,-193]
[109,7,7,false,30,2710908,2710650,258]
[110,7,8,false,29,2736009,2736150,-141]
[111,7,9,false,30,2761110,2760800,310]
[112,7,10,false,29,2786211,2786300,-89]
[113,7,11,false,30,2811312,2810950,362]
[114,7,12,false,29,2836413,2836450,-37]
[115,7,13,false,30,2861514,2861100,414]
[116,7,14,false,29,2886615,2886600,15]
[117,7,15,false,30,2911716,2911250,466]
[118,7,16,false,29,2936817,2936750,67]
[119,7,17,false,30,2961918,2961400,518]
[120,8,1,false,30,2987019,2986900,119]
[121,8,2,false,29,3012120,3012400,-280]
[122,8,3,false,30,3037221,3037050,171]
[123,8,4,false,29,3062322,3062550,-228]
[124,8,5,false,30,3087423,3087200,223]
[125,8,6,false,29,3112524,3112700,-176]
[126,8,7,false,30,3137625,3137350,275]
[127,8,8,false,29,3162726,3162850,-124]
[128,8,9,false,30,3187827,3187500,327]
[129,8,10,false,29,3212928,3213000,{"$f":"F149-G149","v":-72}]
[130,{"$f":"IF(C150=1,B149+1,B149)","v":8},11,{"$f":"AND(MOD(B150,50)=0,C150=8)","v":false},{"$f":"IF(MOD(C150,2)=1,30,29)+IF(D150,1,0)","v":30},3238029,{"$f":"G149+E149*PPD","v":3237650},379]
[131,8,{"$f":"IF(C150=17,1,C150+1)","v":12},false,29,{"$f":"F150+PPM","v":3263130},3263150,-20]
[132,8,13,false,30,3288231,3287800,431]
[133,8,14,false,29,3313332,3313300,32]
[134,8,15,false,30,3338433,3337950,483]
[135,8,16,false,29,3363534,3363450,84]
[136,8,17,false,30,3388635,3388100,535]
[137,9,1,false,30,3413736,3413600,136]
[138,9,2,false,29,3438837,3439100,-263]
[139,9,3,false,30,3463938,3463750,188]
[140,9,4,false,29,3489039,3489250,-211]
[141,9,5,false,30,3514140,3513900,240]
[142,9,6,false,29,3539241,3539400,-159]
[143,9,7,false,30,3564342,3564050,292]
[144,9,8,false,29,3589443,3589550,-107]
[145,9,9,false,30,3614544,3614200,344]
[146,9,10,false,29,3639645,3639700,-55]
[147,9,11,false,30,3664746,3664350,396]
[148,9,12,false,29,3689847,3689850,-3]
[149,9,13,false,30,3714948,3714500,448]
[150,9,14,false,29,3740049,3740000,49]
[151,9,15,false,30,3765150,3764650,500]
[152,9,16,false,29,3790251,3790150,101]
[153,9,17,false,30,3815352,3814800,552]
[154,10,1,false,30,3840453,3840300,153]
[155,10,2,false,29,3865554,3865800,-246]
[156,10,3,false,30,3890655,3890450,205]
[157,10,4,false,29,3915756,3915950,-194]
[158,10,5,false,30,3940857,3940600,257]
[159,10,6,false,29,3965958,3966100,-142]
[160,10,7,false,30,3991059,3990750,309]
[161,10,8,false,29,4016160,4016250,-90]
[162,10,9,false,30,4041261,4040900,361]
[163,10,10,false,29,4066362,4066400,-38]
[{"$f":"A183+1","v":164},10,11,false,30,4091463,4091050,413]
[165,10,12,false,29,4116564,4116550,14]
[166,10,13,false,30,4141665,4141200,465]
[167,10,14,false,29,4166766,4166700,66]
[168,10,15,false,30,4191867,4191350,517]
[169,10,16,false,29,4216968,4216850,118]
[170,10,17,false,30,4242069,4241500,569]
[171,11,1,false,30,4267170,4267000,170]
[172,11,2,false,29,4292271,4292500,-229]
[173,11,3,false,30,4317372,4317150,222]
[174,11,4,false,29,4342473,4342650,-177]
[175,11,5,false,30,4367574,4367300,274]
[176,11,6,false,29,4392675,4392800,-125]
[177,11,7,false,30,4417776,4417450,326]
[178,11,8,false,29,4442877,4442950,-73]
[179,11,9,false,30,4467978,4467600,378]
[180,11,10,false,29,4493079,4493100,-21]
[181,11,11,false,30,4518180,4517750,430]
[182,11,12,false,29,4543281,4543250,31]
[183,11,13,false,30,4568382,4567900,482]
[184,11,14,false,29,4593483,4593400,83]
[185,11,15,false,30,4618584,4618050,534]
[186,11,16,false,29,4643685,4643550,135]
[187,11,17,false,30,4668786,4668200,586]
[188,12,1,false,30,4693887,4693700,187]
[189,12,2,false,29,4718988,4719200,-212]
[190,12,3,false,30,4744089,4743850,239]
[191,12,4,false,29,4769190,4769350,-160]
[192,12,5,false,30,4794291,4794000,291]
[193,12,6,false,29,4819392,4819500,{"$f":"F213-G213","v":-108}]
[194,{"$f":"IF(C214=1,B213+1,B213)","v":12},7,{"$f":"AND(MOD(B214,50)=0,C214=8)","v":false},{"$f":"IF(MOD(C214,2)=1,30,29)+IF(D214,1,0)","v":30},4844493,{"$f":"G213+E213*PPD","v":4844150},343]
[195,12,{"$f":"IF(C214=17,1,C214+1)","v":8},false,29,{"$f":"F214+PPM","v":4869594},4869650,-56]
[196,12,9,false,30,4894695,4894300,395]
[197,12,10,false,29,4919796,4919800,-4]
[198,12,11,false,30,4944897,4944450,447]
[199,12,12,false,29,4969998,4969950,48]
[200,12,13,false,30,4995099,4994600,499]
[201,12,14,false,29,5020200,5020100,100]
[202,12,15,false,30,5045301,5044750,551]
[203,12,16,false,29,5070402,5070250,152]
[204,12,17,false,30,5095503,5094900,603]
[205,13,1,false,30,5120604,5120400,204]
[206,13,2,false,29,5145705,5145900,-195]
[207,13,3,false,30,5170806,5170550,256]
[208,13,4,false,29,5195907,5196050,-143]
[209,13,5,false,30,5221008,5220700,308]
[210,13,6,false,29,5246109,5246200,-91]
[211,13,7,false,30,5271210,5270850,360]
[212,13,8,false,29,5296311,5296350,-39]
[213,13,9,false,30,5321412,5321000,412]
[214,13,10,false,29,5346513,5346500,13]
[215,13,11,false,30,5371614,5371150,464]
[216,13,12,false,29,5396715,5396650,65]
[217,13,13,false,30,5421816,5421300,516]
[218,13,14,false,29,5446917,5446800,117]
[219,13,15,false,30,5472018,5471450,568]
[220,13,16,false,29,5497119,5496950,169]
[221,13,17,false,30,5522220,5521600,620]
[222,14,1,false,30,5547321,5547100,221]
[223,14,2,false,29,5572422,5572600,-178]
[224,14,3,false,30,5597523,5597250,273]
[225,14,4,false,29,5622624,5622750,-126]
[226,14,5,false,30,5647725,5647400,325]
[227,14,6,false,29,5672826,5672900,-74]
[{"$f":"A247+1","v":228},14,7,false,30,5697927,5697550,377]
[229,14,8,false,29,5723028,5723050,-22]
[230,14,9,false,30,5748129,5747700,429]
[231,14,10,false,29,5773230,5773200,30]
[232,14,11,false,30,5798331,5797850,481]
[233,14,12,false,29,5823432,5823350,82]
[234,14,13,false,30,5848533,5848000,533]
[235,14,14,false,29,5873634,5873500,134]
[236,14,15,false,30,5898735,5898150,585]
[237,14,16,false,29,5923836,5923650,186]
[238,14,17,false,30,5948937,5948300,637]
[239,15,1,false,30,5974038,5973800,238]
[240,15,2,false,29,5999139,5999300,-161]
[241,15,3,false,30,6024240,6023950,290]
[242,15,4,false,29,6049341,6049450,-109]
[243,15,5,false,30,6074442,6074100,342]
[244,15,6,false,29,6099543,6099600,-57]
[245,15,7,false,30,6124644,6124250,394]
[246,15,8,false,29,6149745,6149750,-5]
[247,15,9,false,30,6174846,6174400,446]
[248,15,10,false,29,6199947,6199900,47]
[249,15,11,false,30,6225048,6224550,498]
[250,15,12,false,29,6250149,6250050,99]
[251,15,13,false,30,6275250,6274700,550]
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{"sheet":"Years","index":2,"n_rows":101,"n_cols":5,"rows_kept":101}
["Month in Cycle","Lunar Year","New Year Moment","Elapsed","Difference"]
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{"sheet":"Rules","index":3,"n_rows":5,"n_cols":3,"rows_kept":5}
["odd-numbered months have 30 days, even numbered months have 29 days"]
["lunar year has 17 months (9 full, 8 deficient)"]
["length of common year =",{"$f":"(9*30)+(8*29)","v":502},"days"]
["once every 50 lunar years (850 months) a leap day is added to the eighth month of the leap lunar year"]
["when the year number is divisible by 50"]

{"sheet":"Zoom","index":4,"n_rows":10,"n_cols":9,"rows_kept":10}
[0,"= Current Zoom Level"]
["Level","Months","MajorTick","MinorTick","Shift","Connect","Years","YearsMajor","YearsMinor"]
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[2,{"$f":"B4/2","v":425},17,17,340,false,25,1,1]
[3,340,17,17,170,false,20,1,1]
[4,170,17,1,68,true,10,1,{"$f":"1/17","v":0.058823529411764705}]
[5,68,17,1,34,true,4,1,{"$f":"1/17","v":0.058823529411764705}]
[6,34,1,1,17,true,2,1,{"$f":"1/17","v":0.058823529411764705}]
[7,17,1,1,17,true,1,1,{"$f":"1/17","v":0.058823529411764705}]

{"sheet":"Labels","index":5,"n_rows":28,"n_cols":3,"rows_kept":28}
["Lunar Year","Hours",{"$f":"\"Span \"&B2-B28&\"h\"","v":"Span 78h"}]
[101,39]
[{"$f":"A2","v":101},{"$f":"B2-3","v":36}]
[{"$f":"A3","v":101},{"$f":"B3-3","v":33}]
[{"$f":"A4","v":101},{"$f":"B4-3","v":30}]
[{"$f":"A5","v":101},{"$f":"B5-3","v":27}]
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[101,21]
[101,18]
[101,15]
[101,12]
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