A Catalogue of Eclipse Cycles

Cycle Saros-Inex
Combination
Lunations
Eclipse Seasons
Period Comments
Fortnight 19 I – 30½ S ½
0
14.765 d
0.0404 y
Shortest possible interval between a lunar and a solar eclipse.
Synodic month (Lunation, Nova) 38 I – 61 S 1
0
29.531 d
0.0809 y
Shortest possible interval between two successive lunar or solar eclipses.
Short Semester (Pentalunex) 53 S – 33 I 5
1
147.65 d
0.404 y
 
Semester 5 I – 8 S 6
1
177.18 d
0.485 y
Two successive lunar or solar eclipses at alternate lunar nodes.
Long Semester 43 I – 69 S 7
1
206.71 d
0.566 y
 
Lunar year 10 I – 16 S 12
2
354.37 d
0.970 y
1 lunar year
Hexon 13 S – 8 I 35
6
1033.57 d
2.830 y
 
Hepton 5 S – 3 I 41
7
1210.75 d
3.315 y
Eclipses repeat on (nearly) the same weekday.
Octon 2 I – 3 S 47
>8
1387.94 d
3.800 y
 
Tzolkinex 2 S – I 88
15
2598.69 d
7.115 y
Nearly 10 Tzolkins.
Hibbardina 31 S – 19 I 111
19
3277.90 d
8.975 y
Nearly similar pairs of central solar eclipses
Sar (Half Saros) ½ S 111½
19
3292.66 d
9.015 y
Alternating lunar and solar eclipses of nearly similar character.
Tritos I – S 135
23
3986.63 d
10.915 y
 
Saros (Chaldean) S 223
38
6585.32 d
18.030 y
Similar solar eclipses spaced about 120º apart in terrestrial longitude.
Metonic Cycle 10 I – 15 S 235
40
6939.69 d
19.000 y
Same date in the Julian/Gregorian and luni-solar calendars.
Semanex 3 S – I 311
53
9184.01 d
25.145 y
Same weekday.
Thix 4 I – 5 S 317
54
9361.20 d
25.630 y
Approximately 36 Tzolkins.
Inex I 358
61
10571.95 d
28.945 y
Similar solar eclipses at the same terrestrial longitude but opposite latitudes.
Triple Tritos (Fox, Maya,
Mayan Eclipse Cycle)
3 I – 3 S 405
69
11959.89 d
32.745 y
Nearly 46 Tzolkins.
Double Saros 2 S 446
76
13170.64 d
36.060 y
 
Unnamed (40) 2 I – S 493
84
14558.58 d
39.860 y
 
Unnamed (47) I + S 581
99
17157.27 d
46.975 y
Same weekday.
Unnamed (51) 3 I – 2 S 628
107
18545.21 d
50.775 y
 
Exeligmos (Triple Saros) 3 S 669
114
19755.96 d
54.090 y
Similar solar eclipses at approximately the same terrestrial longitude.
Double Inex 2 I 716
122
21143.90 d
57.890 y
 
Unnamed (61) 4 I – 3 S 763
130
22531.84 d
61.690 y
 
Unidos I + 2 S 804
137
23742.59 d
65.005 y
67 lunar years, nearly same date in Julian/Gregorian calendar.
Unnamed (69) 3 I – S 851
145
25130.53 d
68.805 y
 
Short Calippic Cycle 2 I + S 939
160
27729.22 d
75.920 y
4 Metonic Cycles minus one month.
Triad (Triple Inex) 3 I 1074
183
31715.85 d
86.835 y
 
Quarter Palmen Cycle 4 I – S 1209
206
35702.48 d
97.750 y
 
Mercury Cycle 2 I + 3 S 1385
236
40899.87 d
111.98 y
Nearly equals 353 synodic periods of the planet Mercury.
Tritrix 3 I + 3 S 1743
297
51471.82 d
140.93 y
 
Unnamed (176) 21 S – 7 I 2177
371
64288.09 d
176.01 y
Nearly similar pairs of central solar eclipses.
Unnamed (176.5) 13 S – 2 I 2183
372
64465.28 d
176.50 y
 
Trihex 3 I + 6 S 2412
411
71227.78 d
195.02 y
201 lunar years.
Half Babylonian Period 7 I + S 2729
465
80588.98 d
220.65 y
 
Unnamed (246) 6 I + 4 S 3040
518
89772.99 d
245.79 y
 
Unnamed (298) 24 I – 22 S 3686
628
108849.8 d
298.02 y
 
Macdonald Cycle 6 I + 7 S 3709
632
109529.0 d
299.88 y
Nearly similar eclipses on the same day of the week.
Utting Cycle 10 I + S 3803
648
112304.8 d
307.48 y
 
Unnamed (327) 25 I – 22 S 4044
689
119421.7 d
326.97 y
337 lunar years.
Unnamed (336) 11 I + S 4161
709
122876.8 d
336.43 y
 
Hipparchus Cycle 25 I – 21 S 4267
727
126007.0 d
345.00 y
Nearly similar pairs of central solar eclipses.
Unnamed (353) 26 S – 4 I 4366
744
128930.6 d
353.00 y
Same Gregorian calendar date (approximately).
Square Year (Jubilee Period) 12 I + S 4519
770
133448.7 d
365.37 y
 
Gregoriana 6 I + 11 S 4601
784
135870.2 d
372.00 y
Same Gregorian calendar date and weekday (approximately).
Hexdodeka 6 I + 12 S 4824
822
142455.6 d
390.03 y
402 lunar years.
Grattan Guinness Cycle 16 I – 4 S 4836
824
142809.9 d
391.00 y
403 lunar years and same Gregorian calendar date (approximately).
Babylonian Period (Hipparchian Period) 14 I + 2 S 5458
930
161178.0 d
441.29 y
 
Unnamed (520.5) 13 I + 8 S 6438
1097
190117.9 d
520.53 y
 
Basic Period (Pingré Cycle, Hyper Saros) 18 I 6444
1098
190295.1 d
521.01 y
537 lunar years, same Julian calendar date and same weekday.
Chalepe (Great Chaldean Cycle) 18 I + 2 S 6890
1174
203465.8 d
557.07 y
 
Tetradia 19 I + 2 S 7248
1235
214037.7 d
586.02 y
604 lunar years and same Julian calendar date (approximately).
Unnamed (595) 33 S 7359
1254
217315.6 d
594.99 y
 
Unnamed (600) 12 I + 14 S 7418
1264
219057.9 d
599.76 y
Same day of the week.
Unnamed (702) 23 I + 2 S 8680
1479
256325.5 d
701.80 y
 
Unnamed (725) 37 S + 2 I 8967
1528
264800.8 d
725.00 y
Same Gregorian calendar date (approximately).
Hyper Exeligmos 24 I + 12 S 11268
1920
332750.7 d
911.04 y
939 lunar years.
Double Basic Period 36 I 12888
2196
380590.2 d
1042.0 y
1074 lunar years, same Julian calendar date and same weekday.
Unnamed (1154) 38 I + 3 S 14273
2432
421490.1 d
1154.0 y
Same Gregorian calendar date (approximately).
Unnamed (1172) 38 I + 4 S 14496
2470
428075.4 d
1172.0 y
1208 lunar years and same Julian calendar date (approximately).
Unnamed (1404) 46 I + 4 S 17360
2958
512651.0 d
1403.6 y
 
Unnamed (1418) 49 I 17542
2989
518025.6 d
1418.3 y
 
Unnamed (1490) 49 I + 4 S 18434
3141
544366.9 d
1490.4 y
 
Cartouche 52 I 18616
3172
549741.4 d
1505.1 y
 
Triple Basic Period 54 I 19332
3294
570885.3 d
1563.0 y
1611 lunar years and same weekday (approximately).
Unnamed (1610) 55 I + S 19913
3393
588042.6 d
1610.0 y
 
Unnamed (1628) 55 I + 2 S 20136
3431
594627.9 d
1628.0 y
1678 lunar years and same Julian calendar date (approximately).
Palaea-Horologia 55 I + 3 S 20359
3469
601213.3 d
1646.1 y
 
Hybridia 55 I + 4 S 20582
3507
607798.6 d
1664.1 y
 
Selenid I 55 I + 5 S 20805
3545
614383.9 d
1682.1 y
 
Unnamed (1700) 55I + 6 S 21028
3583
620969.2 d
1700.2 y
 
Unnamed (1751) 58 I + 4 S 21656
3690
639514.4 d
1750.9 y
 
Proxima 58 I + 5 S 21879
3728
646099.8 d
1769.0 y
Nearly 2485 Tzolkins and same weekday.
Heliotrope 58 I + 6 S 22102
3766
652685.1 d
1787.0 y
 
Megalosaros 58 I + 7 S 22325
3804
659270.4 d
1805.0 y
95 Metonic Cycles.
Immobilis 58 I + 8 S 22548
3842
665855.7 d
1823.1 y
1879 lunar years.
Accuratissima 58 I + 9 S 22771
3880
672441.0 d
1841.1 y
Same weekday.
Unnamed (2471) 81 I + 7 S 30559
5207
902425.3 d
2470.8 y
 
Selenid II 95 I + 11 S 36463
6213
1076773.9 d
2948.1 y
 
Horologia 110 I + 7 S 40941
6976
1209011.8 d
3310.2 y
Same weekday (approximately).