Hebrew Calendar Science and Myths

Hebrew Calendar Science and Myths 247 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 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.

As shown by 23. The 34 Day Maximum Variance, the maximum possible variance for any period of Hebrew years is 34 days.

10 Hebrew years is the smallest span to have the maximum variance of 34 days.

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

1 YEAR SPANS
12 months = 354d 8h 876p				13 months = 383d 21h 589p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	353d	3	69,222	-1	0d	0	0
0	354d	4	167,497	0	383d	5	106,677
1	355d	5	198,737	1	384d	6	36,288
2	0d	0	0	2	385d	0	111,051
3	0d	0	0	3	0d	0	0
The *maximum* variance is 32 days

2 YEAR SPANS
24 months = 708d 17h 672p				25 months = 738d 6h 385p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	707d	0	30,180	-1	737d	2	116,319
0	708d	1	25,920	0	738d	3	179,379
1	709d	2	108,959	1	739d	4	152,112
2	710d	3	16,381	2	740d	5	60,222
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

3 YEAR SPANS
37 months = 1,092d 15h 181p				38 months = 1,122d 3h 974p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	0d	0	0	-1	1,121d	1	4,876
0	1,092d	0	398,980	0	1,122d	2	45,724
1	1,093d	1	54,635	1	1,123d	3	18,606
2	1,094d	2	163,281	2	1,124d	4	3,370
3	0d	0	0	3	0d	0	0
The *maximum* variance is 32 days

4 YEAR SPANS
49 months = 1,446d 23h 1057p				50 months = 1,476d 12h 770p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	1,445d	3	78	-1	1,475d	5	52,504
0	1,446d	4	74,676	0	1,476d	6	18,230
1	1,447d	5	249,668	1	1,477d	0	255,858
2	1,448d	6	32,762	2	0d	0	0
3	1,449d	0	5,696	3	0d	0	0
The *maximum* variance is 32 days

5 YEAR SPANS
61 months = 1,801d 8h 853p				62 months = 1,830d 21h 566p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	1,799d	0	14	-2	0d	0	0
-1	1,800d	1	9,856	-1	1,829d	2	30,531
0	1,801d	2	67,945	0	1,830d	3	155,318
1	1,802d	3	25,353	1	1,831d	4	225,267
2	1,803d	4	5,696	2	1,832d	5	169,492
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

6 YEAR SPANS
74 months = 2,185d 6h 362p				75 months = 2,214d 19h 75p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	2,184d	0	192,950	-1	0d	0	0
0	2,185d	1	64,125	0	2,214d	2	52,131
1	2,186d	2	255,205	1	2,215d	3	56,716
2	2,187d	3	32,040	2	2,216d	4	32,952
3	0d	0	0	3	2,217d	5	3,353
The *maximum* variance is 33 days

7 YEAR SPANS
86 months = 2,539d 15h 158p				87 months = 2,569d 3h 951p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	2,538d	4	30,525	-1	0d	0	0
0	2,539d	5	153,110	0	2,569d	0	345,254
1	2,540d	6	29,958	1	2,570d	1	12,932
2	2,541d	0	76,711	2	2,571d	2	40,982
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

8 YEAR SPANS
98 months = 2,893d 23h 1034p				99 months = 2,923d 12h 747p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	2,892d	1	9	-1	2,922d	3	65,095
0	2,893d	2	12,828	0	2,923d	4	201,652
1	2,894d	3	15,004	1	2,924d	5	358,028
2	2,895d	4	8,447	2	2,925d	6	28,409
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

9 YEAR SPANS
111 months = 3,277d 21h 543p				112 months = 3,307d 10h 256p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	3,276d	0	43,344	-1	3,306d	2	32,493
0	3,277d	1	56,503	0	3,307d	3	71,807
1	3,278d	2	303,809	1	3,308d	4	75,475
2	3,279d	3	68,088	2	3,309d	5	37,953
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

10 YEAR SPANS
123 months = 3,632d 6h 339p				124 months = 3,661d 19h 52p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	3,630d	4	3,236	-2	0d	0	0
-1	3,631d	5	76,946	-1	0d	0	0
0	3,632d	6	22,866	0	3,661d	0	252,669
1	3,633d	0	114,680	1	3,662d	1	47,195
2	0d	0	0	2	3,663d	2	162,407
3	0d	0	0	3	3,664d	3	9,473
The *maximum* variance is 34 days

11 YEAR SPANS
136 months = 4,016d 3h 928p				137 months = 4,045d 16h 641p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	4,015d	4	97,964	-1	4,044d	5	3,200
0	4,016d	5	418,796	0	4,045d	6	1,070
1	4,017d	6	74,185	1	4,046d	0	31,715
2	4,018d	0	62,239	2	0d	0	0
3	0d	0	0	3	4,048d	2	303
The *maximum* variance is 33 days

12 YEAR SPANS
148 months = 4,370d 12h 724p				149 months = 4,400d 1h 437p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	4,398d	2	1,600
-1	4,369d	1	19,306	-1	4,399d	3	62,864
0	4,370d	2	219,452	0	4,400d	4	114,554
1	4,371d	3	121,135	1	4,401d	5	109,163
2	4,372d	4	39,275	2	4,402d	6	2,123
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

13 YEAR SPANS
160 months = 4,724d 21h 520p				161 months = 4,754d 10h 233p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	4,723d	5	14,141	-1	4,753d	0	145,497
0	4,724d	6	4,297	0	4,754d	1	58,633
1	4,725d	0	126,714	1	4,755d	2	285,843
2	0d	0	0	2	4,756d	3	54,347
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

14 YEAR SPANS
173 months = 5,108d 19h 29p				174 months = 5,138d 7h 822p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	5,107d	4	37,905	-1	0d	0	0
0	5,108d	5	268,198	0	5,138d	0	81,447
1	5,109d	6	63,817	1	5,139d	1	6,620
2	5,110d	0	210,688	2	5,140d	2	20,797
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

15 YEAR SPANS
185 months = 5,463d 3h 905p				186 months = 5,492d 16h 618p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	5,462d	2	95,519	-1	5,491d	3	16,044
0	5,463d	3	128,700	0	5,492d	4	85,926
1	5,464d	4	87,356	1	5,493d	5	227,836
2	5,465d	5	15,017	2	5,494d	6	30,086
3	0d	0	0	3	5,495d	0	2,988
The *maximum* variance is 33 days

16 YEAR SPANS
197 months = 5,817d 12h 701p				198 months = 5,847d 1h 414p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	5,845d	0	16,044
-1	0d	0	0	-1	5,846d	1	60,210
0	5,817d	0	55,584	0	5,847d	2	411,286
1	5,818d	1	4,404	1	5,848d	3	122,186
2	5,819d	2	12,588	2	5,849d	4	7,170
3	0d	0	0	3	0d	0	0
The *maximum* variance is 32 days

17 YEAR SPANS
210 months = 6,201d 10h 210p				211 months = 6,230d 22h 1003p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	6,200d	5	134,760	-1	0d	0	0
0	6,201d	6	44,399	0	6,230d	0	78,580
1	6,202d	0	328,873	1	6,231d	1	19,055
2	0d	0	0	2	6,232d	2	75,446
3	0d	0	0	3	6,233d	3	8,359
The *maximum* variance is 33 days

18 YEAR SPANS
222 months = 6,555d 19h 6p				223 months = 6,585d 7h 799p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	6,554d	2	28,425	-1	6,584d	4	47,951
0	6,555d	3	80,127	0	6,585d	5	251,791
1	6,556d	4	91,702	1	6,586d	6	52,692
2	6,557d	5	53,762	2	6,587d	0	83,022
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

19 YEAR SPANS
235 months = 6,939d 16h 595p
M'+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0
-1	6,938d	1	11,263
0	6,939d	2	311,544
1	6,940d	3	250,123
2	6,941d	4	113,011
3	6,942d	5	3,531
The *maximum* variance is 4 days

20 YEAR SPANS
247 months = 7,294d 1h 391p				248 months = 7,323d 14h 104p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	7,292d	5	11,263	-2	0d	0	0
-1	7,293d	6	1,652	-1	7,322d	0	41,213
0	7,294d	0	412,537	0	7,323d	1	26,677
1	7,295d	1	1,471	1	7,324d	2	151,490
2	7,296d	2	8,533	2	7,325d	3	34,636
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

21 YEAR SPANS
259 months = 7,648d 10h 187p				260 months = 7,677d 22h 980p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	7,647d	3	29,866	-1	7,676d	4	12,915
0	7,648d	4	67,953	0	7,677d	5	205,209
1	7,649d	5	82,150	1	7,678d	6	60,314
2	7,650d	6	1,471	2	7,679d	0	229,594
3	0d	0	0	3	0d	0	0
The *maximum* variance is 32 days

22 YEAR SPANS
272 months = 8,032d 7h 776p				273 months = 8,061d 20h 489p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	8,031d	2	139,758	-1	8,060d	3	1,533
0	8,032d	3	219,660	0	8,061d	4	12,373
1	8,033d	4	185,472	1	8,062d	5	47,561
2	8,034d	5	72,006	2	8,063d	6	8,835
3	0d	0	0	3	8,064d	0	2,274
The *maximum* variance is 33 days

23 YEAR SPANS
284 months = 8,386d 16h 572p				285 months = 8,416d 5h 285p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	8,414d	0	1,533
-1	0d	0	0	-1	8,415d	1	19,294
0	8,386d	0	237,098	0	8,416d	2	199,610
1	8,387d	1	31,992	1	8,417d	3	87,963
2	8,388d	2	93,790	2	8,418d	4	18,192
3	0d	0	0	3	0d	0	0
The *maximum* variance is 32 days

24 YEAR SPANS
296 months = 8,741d 1h 368p				297 months = 8,770d 14h 81p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	8,740d	4	21,115	-1	8,769d	5	97,193
0	8,741d	5	75,300	0	8,770d	6	32,710
1	8,742d	6	10,711	1	8,771d	0	450,705
2	8,743d	0	1,738	2	0d	0	0
3	0d	0	0	3	0d	0	0
The *maximum* variance is 31 days

25 YEAR SPANS
309 months = 9,124d 22h 957p				310 months = 9,154d 11h 670p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	9,123d	2	29,335	-1	9,153d	4	8,575
0	9,124d	3	144,625	0	9,154d	5	78,108
1	9,125d	4	209,675	1	9,155d	6	20,736
2	9,126d	5	160,685	2	9,156d	0	37,733
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

26 YEAR SPANS
321 months = 9,479d 7h 753p				322 months = 9,508d 20h 466p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	9,478d	0	99,739	-1	0d	0	0
0	9,479d	1	39,568	0	9,508d	2	143,386
1	9,480d	2	139,504	1	9,509d	3	153,849
2	9,481d	3	11,493	2	9,510d	4	89,477
3	0d	0	0	3	9,511d	5	12,456
The *maximum* variance is 33 days

27 YEAR SPANS
333 months = 9,833d 16h 549p				334 months = 9,863d 5h 262p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	9,832d	4	3,521	-1	0d	0	0
0	9,833d	5	18,788	0	9,863d	0	569,219
1	9,834d	6	3,811	1	9,864d	1	20,913
2	9,835d	0	10,168	2	9,865d	2	63,052
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

28 YEAR SPANS
346 months = 10,217d 14h 58p				347 months = 10,247d 2h 851p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	10,216d	3	44,438	-1	10,246d	5	71,054
0	10,217d	4	149,270	0	10,247d	6	24,310
1	10,218d	5	261,412	1	10,248d	0	122,364
2	10,219d	6	16,624	2	0d	0	0
3	0d	0	0	3	0d	0	0
The *maximum* variance is 32 days

29 YEAR SPANS
358 months = 10,571d 22h 934p				359 months = 10,601d 11h 647p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	10,570d	0	15,832	-1	10,600d	2	77,352
0	10,571d	1	31,104	0	10,601d	3	150,479
1	10,572d	2	144,340	1	10,602d	4	156,465
2	10,573d	3	26,452	2	10,603d	5	87,448
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

30 YEAR SPANS
371 months = 10,955d 20h 443p				372 months = 10,985d 9h 156p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	0d	0	0	-1	10,984d	1	1,306
0	10,955d	0	346,891	0	10,985d	2	19,465
1	10,956d	1	70,131	1	10,986d	3	11,567
2	10,957d	2	227,468	2	10,987d	4	3,950
3	10,958d	3	8,694	3	0d	0	0
The *maximum* variance is 32 days

31 YEAR SPANS
383 months = 11,310d 5h 239p				384 months = 11,339d 17h 1032p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	11,309d	4	65,553	-1	11,338d	5	22,196
0	11,310d	5	252,695	0	11,339d	6	6,733
1	11,311d	6	39,801	1	11,340d	0	257,192
2	11,312d	0	41,119	2	0d	0	0
3	0d	0	0	3	11,342d	2	4,183
The *maximum* variance is 33 days

32 YEAR SPANS
395 months = 11,664d 14h 35p				396 months = 11,694d 2h 828p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	11,692d	2	10,445
-1	11,663d	1	8,612	-1	11,693d	3	114,753
0	11,664d	2	77,042	0	11,694d	4	207,567
1	11,665d	3	42,863	1	11,695d	5	207,372
2	11,666d	4	16,635	2	11,696d	6	4,183
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

33 YEAR SPANS
408 months = 12,048d 11h 624p				409 months = 12,078d 0h 337p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	12,047d	0	149,511	-1	12,077d	2	29,109
0	12,048d	1	67,936	0	12,078d	3	42,335
1	12,049d	2	309,731	1	12,079d	4	31,306
2	12,050d	3	53,430	2	12,080d	5	6,114
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

34 YEAR SPANS
420 months = 12,402d 20h 420p				421 months = 12,432d 9h 133p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	12,401d	4	24,149	-1	0d	0	0
0	12,402d	5	150,201	0	12,432d	0	267,022
1	12,403d	6	33,239	1	12,433d	1	23,418
2	12,404d	0	119,003	2	12,434d	2	72,440
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

35 YEAR SPANS
432 months = 12,757d 5h 216p				433 months = 12,786d 17h 1009p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	12,756d	2	20,049	-1	12,785d	3	28,825
0	12,757d	3	28,857	0	12,786d	4	150,647
1	12,758d	4	20,237	1	12,787d	5	383,486
2	12,759d	5	3,433	2	12,788d	6	46,822
3	0d	0	0	3	12,789d	0	7,116
The *maximum* variance is 33 days

36 YEAR SPANS
445 months = 13,141d 2h 805p				446 months = 13,170d 15h 518p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	13,139d	0	15,723	-2	0d	0	0
-1	13,140d	1	50,951	-1	13,169d	2	15,753
0	13,141d	2	332,018	0	13,170d	3	54,177
1	13,142d	3	99,852	1	13,171d	4	68,558
2	13,143d	4	9,488	2	13,172d	5	42,952
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

37 YEAR SPANS
457 months = 13,495d 11h 601p				458 months = 13,525d 0h 314p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	13,494d	5	69,765	-1	13,524d	0	190,169
0	13,495d	6	22,526	0	13,525d	1	43,081
1	13,496d	0	161,725	1	13,526d	2	178,614
2	0d	0	0	2	13,527d	3	23,592
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

38 YEAR SPANS
470 months = 13,879d 9h 110p
M'+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0
-1	13,878d	4	80,269
0	13,879d	5	398,645
1	13,880d	6	79,369
2	13,881d	0	131,189
3	0d	0	0
The *maximum* variance is 3 days

39 YEAR SPANS
482 months = 14,233d 17h 986p				483 months = 14,263d 6h 699p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	14,232d	1	9,203	-1	14,262d	3	39,153
0	14,233d	2	198,298	0	14,263d	4	85,052
1	14,234d	3	154,990	1	14,264d	5	119,761
2	14,235d	4	70,023	2	14,265d	6	10,050
3	14,236d	5	2,942	3	0d	0	0
The *maximum* variance is 33 days

40 YEAR SPANS
494 months = 14,588d 2h 782p				495 months = 14,617d 15h 495p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	14,586d	5	6,574	-2	0d	0	0
-1	0d	0	0	-1	14,616d	0	87,101
0	14,588d	0	168,691	0	14,617d	1	53,449
1	14,589d	1	291	1	14,618d	2	298,958
2	14,590d	2	5,884	2	14,619d	3	68,524
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

41 YEAR SPANS
507 months = 14,972d 0h 291p				508 months = 15,001d 13h 4p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	14,970d	4	19,489	-2	0d	0	0
-1	14,971d	5	245,732	-1	0d	0	0
0	14,972d	6	68,710	0	15,001d	0	45,240
1	14,973d	0	282,965	1	15,002d	1	6,678
2	0d	0	0	2	15,003d	2	20,658
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

42 YEAR SPANS
519 months = 15,326d 9h 87p				520 months = 15,355d 21h 880p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	15,325d	2	83,484	-1	15,354d	3	4,248
0	15,326d	3	130,196	0	15,355d	4	55,247
1	15,327d	4	107,974	1	15,356d	5	215,615
2	15,328d	5	41,226	2	15,357d	6	38,601
3	0d	0	0	3	15,358d	0	12,881
The *maximum* variance is 33 days

43 YEAR SPANS
531 months = 15,680d 17h 963p				532 months = 15,710d 6h 676p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	15,708d	0	4,248
-1	0d	0	0	-1	15,709d	1	37,206
0	15,680d	0	69,789	0	15,710d	2	353,065
1	15,681d	1	10,003	1	15,711d	3	153,172
2	15,682d	2	29,072	2	15,712d	4	32,917
3	0d	0	0	3	0d	0	0
The *maximum* variance is 32 days

44 YEAR SPANS
544 months = 16,064d 15h 472p				545 months = 16,094d 4h 185p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	16,063d	5	90,845	-1	16,093d	0	49,275
0	16,064d	6	29,865	0	16,094d	1	15,244
1	16,065d	0	423,610	1	16,095d	2	69,416
2	0d	0	0	2	16,096d	3	11,217
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

45 YEAR SPANS
556 months = 16,419d 0h 268p				557 months = 16,448d 12h 1061p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	16,417d	2	14,797	-2	0d	0	0
-1	16,418d	3	80,182	-1	16,447d	4	30,079
0	16,419d	4	112,902	0	16,448d	5	206,205
1	16,420d	5	82,423	1	16,449d	6	49,411
2	0d	0	0	2	16,450d	0	113,473
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

46 YEAR SPANS
568 months = 16,773d 9h 64p				569 months = 16,802d 21h 857p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	16,772d	0	11,584	-1	16,801d	1	2,860
0	16,773d	1	5,184	0	16,802d	2	232,767
1	16,774d	2	18,093	1	16,803d	3	251,907
2	16,775d	3	1,427	2	16,804d	4	148,530
3	0d	0	0	3	16,805d	5	17,120
The *maximum* variance is 33 days

47 YEAR SPANS
581 months = 17,157d 6h 653p				582 months = 17,186d 19h 366p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	17,155d	5	2,860	-2	0d	0	0
-1	0d	0	0	-1	17,185d	0	14,942
0	17,157d	0	406,440	0	17,186d	1	22,866
1	17,158d	1	15,365	1	17,187d	2	143,438
2	17,159d	2	47,079	2	17,188d	3	36,482
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

48 YEAR SPANS
593 months = 17,511d 15h 449p				594 months = 17,541d 4h 162p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	17,539d	4	2,860
-1	17,510d	3	22,250	-1	17,540d	5	152,938
0	17,511d	4	67,954	0	17,541d	6	49,698
1	17,512d	5	118,964	1	17,542d	0	266,248
2	17,513d	6	8,560	2	0d	0	0
3	0d	0	0	3	0d	0	0
The *maximum* variance is 32 days

49 YEAR SPANS
606 months = 17,895d 12h 1038p				607 months = 17,925d 1h 751p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	17,894d	2	105,495	-1	17,924d	4	4,288
0	17,895d	3	211,789	0	17,925d	5	23,815
1	17,896d	4	217,890	1	17,926d	6	5,184
2	17,897d	5	118,010	2	17,927d	0	3,001
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

50 YEAR SPANS
618 months = 18,249d 21h 834p				619 months = 18,279d 10h 547p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	0d	0	0	-1	18,278d	1	8,091
0	18,249d	0	212,845	0	18,279d	2	151,087
1	18,250d	1	44,452	1	18,280d	3	96,720
2	18,251d	2	138,304	2	18,281d	4	34,406
3	18,252d	3	3,567	3	0d	0	0
The *maximum* variance is 32 days

51 YEAR SPANS
630 months = 18,604d 6h 630p				631 months = 18,633d 19h 343p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	18,603d	4	22,661	-1	18,632d	5	41,467
0	18,604d	5	92,304	0	18,633d	6	13,050
1	18,605d	6	15,244	1	18,634d	0	486,236
2	18,606d	0	14,943	2	0d	0	0
3	0d	0	0	3	18,636d	2	3,567
The *maximum* variance is 33 days

52 YEAR SPANS
643 months = 18,988d 4h 139p				644 months = 19,017d 16h 932p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	18,986d	2	12,137	-2	0d	0	0
-1	18,987d	3	120,221	-1	19,016d	4	3,034
0	18,988d	4	220,450	0	19,017d	5	51,787
1	18,989d	5	224,233	1	19,018d	6	15,552
2	18,990d	6	3,567	2	19,019d	0	38,491
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

53 YEAR SPANS
655 months = 19,342d 12h 1015p				656 months = 19,372d 1h 728p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	19,341d	0	81,632	-1	19,371d	2	98,446
0	19,342d	1	42,849	0	19,372d	3	136,584
1	19,343d	2	176,861	1	19,373d	4	101,586
2	19,344d	3	25,250	2	19,374d	5	26,264
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

54 YEAR SPANS
667 months = 19,696d 21h 811p				668 months = 19,726d 10h 524p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	19,695d	4	4,778	-1	0d	0	0
0	19,696d	5	33,046	0	19,726d	0	458,024
1	19,697d	6	7,622	1	19,727d	1	39,562
2	19,698d	0	27,130	2	19,728d	2	119,310
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

55 YEAR SPANS
680 months = 20,080d 19h 320p				681 months = 20,110d 8h 33p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	20,079d	3	21,336	-1	20,109d	5	42,225
0	20,080d	4	126,514	0	20,110d	6	14,596
1	20,081d	5	318,458	1	20,111d	0	124,619
2	20,082d	6	35,513	2	0d	0	0
3	20,083d	0	6,211	3	0d	0	0
The *maximum* variance is 32 days

56 YEAR SPANS
692 months = 20,435d 4h 116p				693 months = 20,464d 16h 909p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	20,433d	0	7,112	-2	0d	0	0
-1	20,434d	1	30,077	-1	20,463d	2	42,914
0	20,435d	2	165,618	0	20,464d	3	123,844
1	20,436d	3	44,998	1	20,465d	4	158,553
2	20,437d	4	6,211	2	20,466d	5	110,145
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

57 YEAR SPANS
705 months = 20,819d 1h 705p
M'+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0
-1	20,818d	0	294,266
0	20,819d	1	79,369
1	20,820d	2	289,927
2	20,821d	3	25,910
3	0d	0	0
The *maximum* variance is 3 days

58 YEAR SPANS
717 months = 21,173d 10h 501p				718 months = 21,202d 23h 214p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	21,172d	4	57,924	-1	21,201d	5	2,426
0	21,173d	5	247,278	0	21,202d	6	0
1	21,174d	6	43,081	1	21,203d	0	236,981
2	21,175d	0	87,173	2	21,204d	1	2,499
3	0d	0	0	3	21,205d	2	12,110
The *maximum* variance is 33 days

59 YEAR SPANS
729 months = 21,527d 19h 297p				730 months = 21,557d 8h 10p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	21,555d	2	1,213
-1	21,526d	1	5,103	-1	21,556d	3	73,873
0	21,527d	2	79,316	0	21,557d	4	177,534
1	21,528d	3	64,903	1	21,558d	5	243,302
2	21,529d	4	32,118	2	21,559d	6	12,110
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

60 YEAR SPANS
742 months = 21,911d 16h 886p				743 months = 21,941d 5h 599p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	21,910d	0	99,277	-1	21,940d	2	14,877
0	21,911d	1	71,747	0	21,941d	3	25,959
1	21,912d	2	368,787	1	21,942d	4	23,135
2	21,913d	3	77,085	2	21,943d	5	8,605
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

61 YEAR SPANS
754 months = 22,266d 1h 682p				755 months = 22,295d 14h 395p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	22,264d	4	15,508	-2	0d	0	0
-1	22,265d	5	142,762	-1	0d	0	0
0	22,266d	6	36,520	0	22,295d	0	197,850
1	22,267d	0	168,090	1	22,296d	1	31,639
2	0d	0	0	2	22,297d	2	97,103
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

62 YEAR SPANS
766 months = 22,620d 10h 478p				767 months = 22,649d 23h 191p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	22,619d	2	23,280	-1	22,648d	3	3,556
0	22,620d	3	39,889	0	22,649d	4	104,172
1	22,621d	4	33,752	1	22,650d	5	389,205
2	22,622d	5	11,943	2	22,651d	6	62,970
3	0d	0	0	3	22,652d	0	20,705
The *maximum* variance is 33 days

63 YEAR SPANS
779 months = 23,004d 7h 1067p				780 months = 23,033d 20h 780p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	23,002d	0	2,134	-2	0d	0	0
-1	23,003d	1	36,653	-1	23,032d	2	3,543
0	23,004d	2	331,849	0	23,033d	3	38,812
1	23,005d	3	142,627	1	23,034d	4	59,376
2	23,006d	4	31,057	2	23,035d	5	43,421
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

64 YEAR SPANS
791 months = 23,358d 16h 863p				792 months = 23,388d 5h 576p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	23,357d	5	50,651	-1	23,387d	0	135,532
0	23,358d	6	16,155	0	23,388d	1	39,801
1	23,359d	0	223,498	1	23,389d	2	189,753
2	0d	0	0	2	23,390d	3	34,082
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

65 YEAR SPANS
803 months = 23,713d 1h 659p				804 months = 23,742d 14h 372p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	23,711d	2	1,555	-2	0d	0	0
-1	23,712d	3	9,672	-1	23,741d	4	54,765
0	23,713d	4	14,179	0	23,742d	5	335,891
1	23,714d	5	10,882	1	23,743d	6	75,558
2	0d	0	0	2	23,744d	0	186,970
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

66 YEAR SPANS
816 months = 24,096d 23h 168p				817 months = 24,126d 11h 961p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	24,095d	1	1,276	-1	24,125d	3	19,971
0	24,096d	2	167,917	0	24,126d	4	59,313
1	24,097d	3	185,023	1	24,127d	5	123,035
2	24,098d	4	107,203	2	24,128d	6	15,409
3	24,099d	5	10,325	3	0d	0	0
The *maximum* variance is 33 days

67 YEAR SPANS
828 months = 24,451d 7h 1044p				829 months = 24,480d 20h 757p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	24,449d	5	1,094	-2	0d	0	0
-1	0d	0	0	-1	24,479d	0	35,500
0	24,451d	0	188,840	0	24,480d	1	48,265
1	24,452d	1	7,144	1	24,481d	2	307,543
2	24,453d	2	20,650	2	24,482d	3	80,436
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

68 YEAR SPANS
841 months = 24,835d 5h 553p				842 months = 24,864d 18h 266p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	24,833d	4	5,370	-2	0d	0	0
-1	24,834d	5	212,176	-1	0d	0	0
0	24,835d	6	67,041	0	24,864d	0	18,751
1	24,836d	0	368,597	1	24,865d	1	3,811
2	0d	0	0	2	24,866d	2	13,066
3	0d	0	0	3	24,867d	3	660
The *maximum* variance is 34 days

69 YEAR SPANS
853 months = 25,189d 14h 349p				854 months = 25,219d 3h 62p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	25,188d	2	66,919	-1	25,218d	4	34,381
0	25,189d	3	129,427	0	25,219d	5	185,280
1	25,190d	4	130,857	1	25,220d	6	39,568
2	25,191d	5	71,965	2	25,221d	0	31,075
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

70 YEAR SPANS
865 months = 25,543d 23h 145p				866 months = 25,573d 11h 938p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	0d	0	0	-1	25,572d	1	16,467
0	25,543d	0	74,934	0	25,573d	2	286,543
1	25,544d	1	17,867	1	25,574d	3	179,628
2	25,545d	2	52,351	2	25,575d	4	61,682
3	0d	0	0	3	0d	0	0
The *maximum* variance is 32 days

71 YEAR SPANS
878 months = 25,927d 20h 734p				879 months = 25,957d 9h 447p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	25,926d	5	40,135	-1	25,956d	0	26,765
0	25,927d	6	13,066	0	25,957d	1	11,433
1	25,928d	0	527,407	1	25,958d	2	58,856
2	0d	0	0	2	25,959d	3	11,810
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

72 YEAR SPANS
890 months = 26,282d 5h 530p				891 months = 26,311d 18h 243p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	26,280d	2	6,455	-2	0d	0	0
-1	26,281d	3	68,157	-1	26,310d	4	14,472
0	26,282d	4	126,551	0	26,311d	5	165,148
1	26,283d	5	125,429	1	26,312d	6	46,130
2	0d	0	0	2	26,313d	0	137,130
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

73 YEAR SPANS
902 months = 26,636d 14h 326p				903 months = 26,666d 3h 39p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	26,635d	0	16,374	-1	26,665d	2	169,280
0	26,636d	1	10,368	0	26,666d	3	234,109
1	26,637d	2	40,716	1	26,667d	4	171,023
2	26,638d	3	5,118	2	26,668d	5	42,484
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

74 YEAR SPANS
915 months = 27,020d 11h 915p				916 months = 27,050d 0h 628p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	0d	0	0	-1	27,049d	1	15,776
0	27,020d	0	376,895	0	27,050d	2	125,065
1	27,021d	1	33,175	1	27,051d	3	39,343
2	27,022d	2	97,962	2	27,052d	4	1,256
3	0d	0	0	3	0d	0	0
The *maximum* variance is 32 days

75 YEAR SPANS
927 months = 27,374d 20h 711p				928 months = 27,404d 9h 424p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	27,373d	3	10,104	-1	27,403d	5	100,266
0	27,374d	4	63,427	0	27,404d	6	34,151
1	27,375d	5	162,572	1	27,405d	0	301,039
2	27,376d	6	17,913	2	0d	0	0
3	0d	0	0	3	0d	0	0
The *maximum* variance is 32 days

76 YEAR SPANS
940 months = 27,758d 18h 220p
M'+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0
-1	27,757d	2	66,703
0	27,758d	3	201,653
1	27,759d	4	252,573
2	27,760d	5	168,543
3	0d	0	0
The *maximum* variance is 3 days

77 YEAR SPANS
952 months = 28,113d 3h 16p				953 months = 28,142d 15h 809p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	28,112d	0	186,018	-1	0d	0	0
0	28,113d	1	52,692	0	28,142d	2	106,292
1	28,114d	2	183,127	1	28,143d	3	99,253
2	28,115d	3	13,619	2	28,144d	4	47,624
3	0d	0	0	3	28,145d	5	847
The *maximum* variance is 33 days

78 YEAR SPANS
964 months = 28,467d 11h 892p				965 months = 28,497d 0h 605p
M'+/-	DAYS	MOD 7d	OCCURS	M"+/-	DAYS	MOD 7d	OCCURS
-2	0d	0	0	-2	0d	0	0
-1	28,466d	4	22,664	-1	0d	0	0
0	28,467d	5	104,056	0	28,497d	0	489,089
1	28,468d	6	19,055	1	28,498d	1	4,345
2	28,469d	0	35,665	2	28,499d	2	14,598
3	0d	0	0	3	0d	0	0
The *maximum* variance is 33 days

79 YEAR SPANS
977 months = 28,851d 9h 401p					978 months = 28,880d 22h 114p
M'+/-	DAYS	MOD 7d	OCCURS