Hebrew Calendar Science and Myths
10 Lengths Hebrew Year Periods

by Remy Landau
=================================

Properties of Hebrew Year Periods shows that while a given Hebrew year period has only
one length in years, it can have up to 2 lengths in terms of months,
and up to 10 lengths in terms of days.

The period of 137 Hebrew years is the first span to show all of these conditions.

Hebrew year periods that have the 10 lengths also display these properties

M' MOD 7d = 2d, m' > 15h 203p, M" MOD 7d = 4d, and m" < 8h 876p

Out of the first 6,300 spans, 37 were found to satisfy all of the above conditions.

The following tables show the fully extrapolated molad periods, the month counts, the day counts, the modulo reduction by 7d of the number of days in each of the entries, the statistical distributions of the various lengths over the Hebrew calendar cycle of 689,472 years, and the maximum variance in days for the given period of Hebrew years.

The maximum variance is the difference between the longest and the shortest possible lengths in days for a given period of Hebrew years.

The structure of these tables is explained in Properties of Hebrew Year Periods - Introduction.

137 YEAR SPANS 
  1,694 months =    50,024d 19h  902p
 
  1,695 months =    50,054d  8h  615p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
    50,052d
 2
     105
-1
    50,023d
 1
   6,297
 -1
    50,053d
 3
  42,865
0
    50,024d
 2
 153,412
 0
    50,054d
 4
 106,535
1
    50,025d
 3
 133,504
 1
    50,055d
 5
 164,130
2
    50,026d
 4
  66,656
 2
    50,056d
 6
  12,957
3
    50,027d
 5
   3,011
 3
         0d
 0
       0
The maximum variance is 33 days

384 YEAR SPANS 
  4,749 months =   140,240d 18h 1077p
 
  4,750 months =   140,270d  7h  790p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
   140,268d
 2
     467
-1
   140,239d
 1
   7,564
 -1
   140,269d
 3
  46,123
0
   140,240d
 2
 158,842
 0
   140,270d
 4
 109,069
1
   140,241d
 3
 130,970
 1
   140,271d
 5
 159,243
2
   140,242d
 4
  63,036
 2
   140,272d
 6
  11,690
3
   140,243d
 5
   2,468
 3
         0d
 0
       0
The maximum variance is 33 days

631 YEAR SPANS 
  7,804 months =   230,456d 18h  172p
 
  7,805 months =   230,486d  6h  965p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
   230,484d
 2
     829
-1
   230,455d
 1
   8,831
 -1
   230,485d
 3
  49,381
0
   230,456d
 2
 164,272
 0
   230,486d
 4
 111,603
1
   230,457d
 3
 128,436
 1
   230,487d
 5
 154,356
2
   230,458d
 4
  59,416
 2
   230,488d
 6
  10,423
3
   230,459d
 5
   1,925
 3
         0d
 0
       0
The maximum variance is 33 days

878 YEAR SPANS 
 10,859 months =   320,672d 17h  347p
 
 10,860 months =   320,702d  6h   60p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
   320,700d
 2
   1,191
-1
   320,671d
 1
  10,098
 -1
   320,701d
 3
  52,639
0
   320,672d
 2
 169,702
 0
   320,702d
 4
 114,137
1
   320,673d
 3
 125,902
 1
   320,703d
 5
 149,469
2
   320,674d
 4
  55,796
 2
   320,704d
 6
   9,156
3
   320,675d
 5
   1,382
 3
         0d
 0
       0
The maximum variance is 33 days

976 YEAR SPANS 
 12,071 months =   356,463d 19h  263p
 
 12,072 months =   356,493d  7h 1056p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
   356,491d
 2
     720
-1
   356,462d
 1
   7,191
 -1
   356,492d
 3
  55,203
0
   356,463d
 2
 126,539
 0
   356,493d
 4
 135,623
1
   356,464d
 3
 104,418
 1
   356,494d
 5
 195,560
2
   356,465d
 4
  51,280
 2
   356,495d
 6
  12,062
3
   356,466d
 5
     876
 3
         0d
 0
       0
The maximum variance is 33 days

1,125 YEAR SPANS 
 13,914 months =   410,888d 16h  522p
 
 13,915 months =   410,918d  5h  235p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
   410,916d
 2
   1,553
-1
   410,887d
 1
  11,365
 -1
   410,917d
 3
  55,897
0
   410,888d
 2
 175,132
 0
   410,918d
 4
 116,671
1
   410,889d
 3
 123,368
 1
   410,919d
 5
 144,582
2
   410,890d
 4
  52,176
 2
   410,920d
 6
   7,889
3
   410,891d
 5
     839
 3
         0d
 0
       0
The maximum variance is 33 days

1,223 YEAR SPANS 
 15,126 months =   446,679d 18h  438p
 
 15,127 months =   446,709d  7h  151p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
   446,707d
 2
   1,444
-1
   446,678d
 1
   8,458
 -1
   446,708d
 3
  59,185
0
   446,679d
 2
 130,883
 0
   446,709d
 4
 138,157
1
   446,680d
 3
 101,884
 1
   446,710d
 5
 189,587
2
   446,681d
 4
  48,384
 2
   446,711d
 6
  10,795
3
   446,682d
 5
     695
 3
         0d
 0
       0
The maximum variance is 33 days

1,372 YEAR SPANS 
 16,969 months =   501,104d 15h  697p
 
 16,970 months =   501,134d  4h  410p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
   501,132d
 2
   1,915
-1
   501,103d
 1
  12,632
 -1
   501,133d
 3
  59,155
0
   501,104d
 2
 180,562
 0
   501,134d
 4
 119,205
1
   501,105d
 3
 120,834
 1
   501,135d
 5
 139,695
2
   501,106d
 4
  48,556
 2
   501,136d
 6
   6,622
3
   501,107d
 5
     296
 3
         0d
 0
       0
The maximum variance is 33 days

1,470 YEAR SPANS 
 18,181 months =   536,895d 17h  613p
 
 18,182 months =   536,925d  6h  326p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
   536,923d
 2
   2,168
-1
   536,894d
 1
   9,725
 -1
   536,924d
 3
  63,167
0
   536,895d
 2
 135,227
 0
   536,925d
 4
 140,691
1
   536,896d
 3
  99,350
 1
   536,926d
 5
 183,614
2
   536,897d
 4
  45,488
 2
   536,927d
 6
   9,528
3
   536,898d
 5
     514
 3
         0d
 0
       0
The maximum variance is 33 days

1,646 YEAR SPANS 
 20,358 months =   601,183d 20h   54p
 
 20,359 months =   601,213d  8h  847p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
   601,211d
 2
       6
-1
   601,182d
 1
   5,972
 -1
   601,212d
 3
  37,360
0
   601,183d
 2
 166,850
 0
   601,213d
 4
  92,238
1
   601,184d
 3
 147,803
 1
   601,214d
 5
 147,419
2
   601,185d
 4
  74,343
 2
   601,215d
 6
  13,281
3
   601,186d
 5
   4,200
 3
         0d
 0
       0
The maximum variance is 33 days

1,717 YEAR SPANS 
 21,236 months =   627,111d 16h  788p
 
 21,237 months =   627,141d  5h  501p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
   627,139d
 2
   2,892
-1
   627,110d
 1
  10,992
 -1
   627,140d
 3
  67,149
0
   627,111d
 2
 139,571
 0
   627,141d
 4
 143,225
1
   627,112d
 3
  96,816
 1
   627,142d
 5
 177,641
2
   627,113d
 4
  42,592
 2
   627,143d
 6
   8,261
3
   627,114d
 5
     333
 3
         0d
 0
       0
The maximum variance is 33 days

1,893 YEAR SPANS 
 23,413 months =   691,399d 19h  229p
 
 23,414 months =   691,429d  7h 1022p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
   691,427d
 2
     187
-1
   691,398d
 1
   7,239
 -1
   691,428d
 3
  40,256
0
   691,399d
 2
 172,823
 0
   691,429d
 4
  94,772
1
   691,400d
 3
 145,269
 1
   691,430d
 5
 143,075
2
   691,401d
 4
  70,361
 2
   691,431d
 6
  12,014
3
   691,402d
 5
   3,476
 3
         0d
 0
       0
The maximum variance is 33 days

1,964 YEAR SPANS 
 24,291 months =   717,327d 15h  963p
 
 24,292 months =   717,357d  4h  676p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
   717,355d
 2
   3,616
-1
   717,326d
 1
  12,259
 -1
   717,356d
 3
  71,131
0
   717,327d
 2
 143,915
 0
   717,357d
 4
 145,759
1
   717,328d
 3
  94,282
 1
   717,358d
 5
 171,668
2
   717,329d
 4
  39,696
 2
   717,359d
 6
   6,994
3
   717,330d
 5
     152
 3
         0d
 0
       0
The maximum variance is 33 days

2,140 YEAR SPANS 
 26,468 months =   781,615d 18h  404p
 
 26,469 months =   781,645d  7h  117p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
   781,643d
 2
     368
-1
   781,614d
 1
   8,506
 -1
   781,644d
 3
  43,152
0
   781,615d
 2
 178,796
 0
   781,645d
 4
  97,306
1
   781,616d
 3
 142,735
 1
   781,646d
 5
 138,731
2
   781,617d
 4
  66,379
 2
   781,647d
 6
  10,747
3
   781,618d
 5
   2,752
 3
         0d
 0
       0
The maximum variance is 33 days

2,387 YEAR SPANS 
 29,523 months =   871,831d 17h  579p
 
 29,524 months =   871,861d  6h  292p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
   871,859d
 2
     549
-1
   871,830d
 1
   9,773
 -1
   871,860d
 3
  46,048
0
   871,831d
 2
 184,769
 0
   871,861d
 4
  99,840
1
   871,832d
 3
 140,201
 1
   871,862d
 5
 134,387
2
   871,833d
 4
  62,397
 2
   871,863d
 6
   9,480
3
   871,834d
 5
   2,028
 3
         0d
 0
       0
The maximum variance is 33 days

2,485 YEAR SPANS 
 30,735 months =   907,622d 19h  495p
 
 30,736 months =   907,652d  8h  208p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
   907,650d
 2
     401
-1
   907,621d
 1
   6,867
 -1
   907,651d
 3
  49,256
0
   907,622d
 2
 140,640
 0
   907,652d
 4
 121,324
1
   907,623d
 3
 118,715
 1
   907,653d
 5
 179,512
2
   907,624d
 4
  58,525
 2
   907,654d
 6
  12,387
3
   907,625d
 5
   1,845
 3
         0d
 0
       0
The maximum variance is 33 days

2,634 YEAR SPANS 
 32,578 months =   962,047d 16h  754p
 
 32,579 months =   962,077d  5h  467p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
   962,075d
 2
     730
-1
   962,046d
 1
  11,040
 -1
   962,076d
 3
  48,944
0
   962,047d
 2
 190,742
 0
   962,077d
 4
 102,374
1
   962,048d
 3
 137,667
 1
   962,078d
 5
 130,043
2
   962,049d
 4
  58,415
 2
   962,079d
 6
   8,213
3
   962,050d
 5
   1,304
 3
         0d
 0
       0
The maximum variance is 33 days

2,732 YEAR SPANS 
 33,790 months =   997,838d 18h  670p
 
 33,791 months =   997,868d  7h  383p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
   997,866d
 2
     944
-1
   997,837d
 1
   8,134
 -1
   997,867d
 3
  52,876
0
   997,838d
 2
 145,527
 0
   997,868d
 4
 123,858
1
   997,839d
 3
 116,181
 1
   997,869d
 5
 174,082
2
   997,840d
 4
  55,267
 2
   997,870d
 6
  11,120
3
   997,841d
 5
   1,483
 3
         0d
 0
       0
The maximum variance is 33 days

2,881 YEAR SPANS 
 35,633 months = 1,052,263d 15h  929p
 
 35,634 months = 1,052,293d  4h  642p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 1,052,291d
 2
     911
-1
 1,052,262d
 1
  12,307
 -1
 1,052,292d
 3
  51,840
0
 1,052,263d
 2
 196,715
 0
 1,052,293d
 4
 104,908
1
 1,052,264d
 3
 135,133
 1
 1,052,294d
 5
 125,699
2
 1,052,265d
 4
  54,433
 2
 1,052,295d
 6
   6,946
3
 1,052,266d
 5
     580
 3
         0d
 0
       0
The maximum variance is 33 days

2,979 YEAR SPANS 
 36,845 months = 1,088,054d 17h  845p
 
 36,846 months = 1,088,084d  6h  558p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 1,088,082d
 2
   1,487
-1
 1,088,053d
 1
   9,401
 -1
 1,088,083d
 3
  56,496
0
 1,088,054d
 2
 150,414
 0
 1,088,084d
 4
 126,392
1
 1,088,055d
 3
 113,647
 1
 1,088,085d
 5
 168,652
2
 1,088,056d
 4
  52,009
 2
 1,088,086d
 6
   9,853
3
 1,088,057d
 5
   1,121
 3
         0d
 0
       0
The maximum variance is 33 days

3,226 YEAR SPANS 
 39,900 months = 1,178,270d 16h 1020p
 
 39,901 months = 1,178,300d  5h  733p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 1,178,298d
 2
   2,030
-1
 1,178,269d
 1
  10,668
 -1
 1,178,299d
 3
  60,116
0
 1,178,270d
 2
 155,301
 0
 1,178,300d
 4
 128,926
1
 1,178,271d
 3
 111,113
 1
 1,178,301d
 5
 163,222
2
 1,178,272d
 4
  48,751
 2
 1,178,302d
 6
   8,586
3
 1,178,273d
 5
     759
 3
         0d
 0
       0
The maximum variance is 33 days

3,473 YEAR SPANS 
 42,955 months = 1,268,486d 16h  115p
 
 42,956 months = 1,268,516d  4h  908p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 1,268,514d
 2
   2,573
-1
 1,268,485d
 1
  11,935
 -1
 1,268,515d
 3
  63,736
0
 1,268,486d
 2
 160,188
 0
 1,268,516d
 4
 131,460
1
 1,268,487d
 3
 108,579
 1
 1,268,517d
 5
 157,792
2
 1,268,488d
 4
  45,493
 2
 1,268,518d
 6
   7,319
3
 1,268,489d
 5
     397
 3
         0d
 0
       0
The maximum variance is 33 days

3,994 YEAR SPANS 
 49,399 months = 1,458,781d 19h  727p
 
 49,400 months = 1,458,811d  8h  440p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 1,458,809d
 2
     175
-1
 1,458,780d
 1
   6,542
 -1
 1,458,810d
 3
  43,495
0
 1,458,781d
 2
 154,462
 0
 1,458,811d
 4
 107,025
1
 1,458,782d
 3
 133,014
 1
 1,458,812d
 5
 163,185
2
 1,458,783d
 4
  65,956
 2
 1,458,813d
 6
  12,712
3
 1,458,784d
 5
   2,906
 3
         0d
 0
       0
The maximum variance is 33 days

4,241 YEAR SPANS 
 52,454 months = 1,548,997d 18h  902p
 
 52,455 months = 1,549,027d  7h  615p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 1,549,025d
 2
     537
-1
 1,548,996d
 1
   7,809
 -1
 1,549,026d
 3
  46,753
0
 1,548,997d
 2
 159,892
 0
 1,549,027d
 4
 109,559
1
 1,548,998d
 3
 130,480
 1
 1,549,028d
 5
 158,298
2
 1,548,999d
 4
  62,336
 2
 1,549,029d
 6
  11,445
3
 1,549,000d
 5
   2,363
 3
         0d
 0
       0
The maximum variance is 33 days

4,488 YEAR SPANS 
 55,509 months = 1,639,213d 17h 1077p
 
 55,510 months = 1,639,243d  6h  790p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 1,639,241d
 2
     899
-1
 1,639,212d
 1
   9,076
 -1
 1,639,242d
 3
  50,011
0
 1,639,213d
 2
 165,322
 0
 1,639,243d
 4
 112,093
1
 1,639,214d
 3
 127,946
 1
 1,639,244d
 5
 153,411
2
 1,639,215d
 4
  58,716
 2
 1,639,245d
 6
  10,178
3
 1,639,216d
 5
   1,820
 3
         0d
 0
       0
The maximum variance is 33 days

4,586 YEAR SPANS 
 56,721 months = 1,675,004d 19h  993p
 
 56,722 months = 1,675,034d  8h  706p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 1,675,032d
 2
     136
-1
 1,675,003d
 1
   6,169
 -1
 1,675,033d
 3
  51,991
0
 1,675,004d
 2
 123,035
 0
 1,675,034d
 4
 133,579
1
 1,675,005d
 3
 106,462
 1
 1,675,035d
 5
 200,378
2
 1,675,006d
 4
  53,616
 2
 1,675,036d
 6
  13,084
3
 1,675,007d
 5
   1,022
 3
         0d
 0
       0
The maximum variance is 33 days

4,735 YEAR SPANS 
 58,564 months = 1,729,429d 17h  172p
 
 58,565 months = 1,729,459d  5h  965p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 1,729,457d
 2
   1,261
-1
 1,729,428d
 1
  10,343
 -1
 1,729,458d
 3
  53,269
0
 1,729,429d
 2
 170,752
 0
 1,729,459d
 4
 114,627
1
 1,729,430d
 3
 125,412
 1
 1,729,460d
 5
 148,524
2
 1,729,431d
 4
  55,096
 2
 1,729,461d
 6
   8,911
3
 1,729,432d
 5
   1,277
 3
         0d
 0
       0
The maximum variance is 33 days

4,833 YEAR SPANS 
 59,776 months = 1,765,220d 19h   88p
 
 59,777 months = 1,765,250d  7h  881p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 1,765,248d
 2
     860
-1
 1,765,219d
 1
   7,436
 -1
 1,765,249d
 3
  55,973
0
 1,765,220d
 2
 127,379
 0
 1,765,250d
 4
 136,113
1
 1,765,221d
 3
 103,928
 1
 1,765,251d
 5
 194,405
2
 1,765,222d
 4
  50,720
 2
 1,765,252d
 6
  11,817
3
 1,765,223d
 5
     841
 3
         0d
 0
       0
The maximum variance is 33 days

4,982 YEAR SPANS 
 61,619 months = 1,819,645d 16h  347p
 
 61,620 months = 1,819,675d  5h   60p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 1,819,673d
 2
   1,623
-1
 1,819,644d
 1
  11,610
 -1
 1,819,674d
 3
  56,527
0
 1,819,645d
 2
 176,182
 0
 1,819,675d
 4
 117,161
1
 1,819,646d
 3
 122,878
 1
 1,819,676d
 5
 143,637
2
 1,819,647d
 4
  51,476
 2
 1,819,677d
 6
   7,644
3
 1,819,648d
 5
     734
 3
         0d
 0
       0
The maximum variance is 33 days

5,080 YEAR SPANS 
 62,831 months = 1,855,436d 18h  263p
 
 62,832 months = 1,855,466d  6h 1056p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 1,855,464d
 2
   1,584
-1
 1,855,435d
 1
   8,703
 -1
 1,855,465d
 3
  59,955
0
 1,855,436d
 2
 131,723
 0
 1,855,466d
 4
 138,647
1
 1,855,437d
 3
 101,394
 1
 1,855,467d
 5
 188,432
2
 1,855,438d
 4
  47,824
 2
 1,855,468d
 6
  10,550
3
 1,855,439d
 5
     660
 3
         0d
 0
       0
The maximum variance is 33 days

5,327 YEAR SPANS 
 65,886 months = 1,945,652d 17h  438p
 
 65,887 months = 1,945,682d  6h  151p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 1,945,680d
 2
   2,308
-1
 1,945,651d
 1
   9,970
 -1
 1,945,681d
 3
  63,937
0
 1,945,652d
 2
 136,067
 0
 1,945,682d
 4
 141,181
1
 1,945,653d
 3
  98,860
 1
 1,945,683d
 5
 182,459
2
 1,945,654d
 4
  44,928
 2
 1,945,684d
 6
   9,283
3
 1,945,655d
 5
     479
 3
         0d
 0
       0
The maximum variance is 33 days

5,503 YEAR SPANS 
 68,063 months = 2,009,940d 19h  959p
 
 68,064 months = 2,009,970d  8h  672p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 2,009,968d
 2
      41
-1
 2,009,939d
 1
   6,217
 -1
 2,009,969d
 3
  37,920
0
 2,009,940d
 2
 168,005
 0
 2,009,970d
 4
  92,728
1
 2,009,941d
 3
 147,313
 1
 2,009,971d
 5
 146,579
2
 2,009,942d
 4
  73,573
 2
 2,009,972d
 6
  13,036
3
 2,009,943d
 5
   4,060
 3
         0d
 0
       0
The maximum variance is 33 days

5,574 YEAR SPANS 
 68,941 months = 2,035,868d 16h  613p
 
 68,942 months = 2,035,898d  5h  326p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 2,035,896d
 2
   3,032
-1
 2,035,867d
 1
  11,237
 -1
 2,035,897d
 3
  67,919
0
 2,035,868d
 2
 140,411
 0
 2,035,898d
 4
 143,715
1
 2,035,869d
 3
  96,326
 1
 2,035,899d
 5
 176,486
2
 2,035,870d
 4
  42,032
 2
 2,035,900d
 6
   8,016
3
 2,035,871d
 5
     298
 3
         0d
 0
       0
The maximum variance is 33 days

5,750 YEAR SPANS 
 71,118 months = 2,100,156d 19h   54p
 
 71,119 months = 2,100,186d  7h  847p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 2,100,184d
 2
     222
-1
 2,100,155d
 1
   7,484
 -1
 2,100,185d
 3
  40,816
0
 2,100,156d
 2
 173,978
 0
 2,100,186d
 4
  95,262
1
 2,100,157d
 3
 144,779
 1
 2,100,187d
 5
 142,235
2
 2,100,158d
 4
  69,591
 2
 2,100,188d
 6
  11,769
3
 2,100,159d
 5
   3,336
 3
         0d
 0
       0
The maximum variance is 33 days

5,821 YEAR SPANS 
 71,996 months = 2,126,084d 15h  788p
 
 71,997 months = 2,126,114d  4h  501p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 2,126,112d
 2
   3,756
-1
 2,126,083d
 1
  12,504
 -1
 2,126,113d
 3
  71,901
0
 2,126,084d
 2
 144,755
 0
 2,126,114d
 4
 146,249
1
 2,126,085d
 3
  93,792
 1
 2,126,115d
 5
 170,513
2
 2,126,086d
 4
  39,136
 2
 2,126,116d
 6
   6,749
3
 2,126,087d
 5
     117
 3
         0d
 0
       0
The maximum variance is 33 days

5,997 YEAR SPANS 
 74,173 months = 2,190,372d 18h  229p
 
 74,174 months = 2,190,402d  6h 1022p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 2,190,400d
 2
     403
-1
 2,190,371d
 1
   8,751
 -1
 2,190,401d
 3
  43,712
0
 2,190,372d
 2
 179,951
 0
 2,190,402d
 4
  97,796
1
 2,190,373d
 3
 142,245
 1
 2,190,403d
 5
 137,891
2
 2,190,374d
 4
  65,609
 2
 2,190,404d
 6
  10,502
3
 2,190,375d
 5
   2,612
 3
         0d
 0
       0
The maximum variance is 33 days

6,244 YEAR SPANS 
 77,228 months = 2,280,588d 17h  404p
 
 77,229 months = 2,280,618d  6h  117p
M'+/-DAYSMOD 7dOCCURSM"+/-DAYSMOD 7dOCCURS
-2
         0d
 0
       0
 -2
 2,280,616d
 2
     584
-1
 2,280,587d
 1
  10,018
 -1
 2,280,617d
 3
  46,608
0
 2,280,588d
 2
 185,924
 0
 2,280,618d
 4
 100,330
1
 2,280,589d
 3
 139,711
 1
 2,280,619d
 5
 133,547
2
 2,280,590d
 4
  61,627
 2
 2,280,620d
 6
   9,235
3
 2,280,591d
 5
   1,888
 3
         0d
 0
       0
The maximum variance is 33 days

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For other Additional Notes click here.
Hebrew Calendar Science and Myths

I'd love to hear from you. Please send your thoughts to:

Remy Landau 

First  Paged  7 Aug 2001
Next Revised  9 Aug 2001