| years per cycle | leap days per cycle | leap months per cycle | leap weeks per cycle | mean days per year | Olympiad exception rule | name / inventor |
|---|---|---|---|---|---|---|
| 4 | 1 | 365.25 | 365 + ¼ | Julian | ||
| 19 | 5 | 7 | 365.26315789… | N/A | Meton | |
| 28 | 7 | 4 | 365.25 | 365 + ¼ (leap week) | solar | |
| 33 | 8 | 365.(24) | N/A | Dee, Khayyám | ||
| 62 | 15 | 11 | 365.24193548… | N/A | Sentinel | |
| 76 | 19 | 28 | 365.25 | 365 + ¼ | Callippus | |
| 128 | 31 | 365.2421875 | 365 + ¼ – 1/128 | von Mädler | ||
| 132 | 32 | 365.(24) | 365 + ¼ – 1/132 | |||
| 186 | 31 (45) | — | 1 (33) | 365.24193548… | Butterfly | |
| 293 | 71 | 52 | 365.2423208… | N/A | Symmetrian | |
| 304 | 75 | 112 | 365.2467105… | 365 + ¼ – 1/304 | Hipparchos | |
| 334 | 81 | 123 | 365.24251497… | N/A | ||
| 353 | 130 | 365.24362606… | N/A | |||
| 372 | 137 | 365.24193548… | N/A | |||
| 391 | 144 | 365.24296675… | N/A | |||
| 400 | 97 | 71 | 365.2425 | 365 + ¼ – 1/100 + 1/400 = 365 + ¼ – 3/400 |
Gregorian | |
| 450 | 109 | 365.24(2) | N/A | Half orthodox | ||
| 532 | 133 | 196 | 95 | 365.25 | 365 + ¼ | Dionysian, Alexandrian |
| 541 | 96 | 365.242144 | N/A | Hawaiian Slice | ||
| 640 | 365.2421875 | 365 + ¼ – 1/128 | ||||
| 656 | 159 | 365.2423780… | 365 + ¼ – 5/656 ? | |||
| 800 | 365.2425 | 365 + ¼ – 1/100 + 1/400 | ||||
| 900 | 365.24(2) | 365 + ¼ – 1/100 + 2/900 | orthodox (revised Julian, Meletian, Milanković) | |||
| 1689 | 622 | 365.2427471… | N/A | Goddess Lunar | ||
| 2800 | 365 + ¼ – … | |||||
| 3200 | 775 | 365.2421875 | 365 + ¼ – 1/100 + 1/400 – 1/3200 | |||
| 6300 | 365 + ¼ – 1/100 + 2/900 | |||||
| 6840 | 2519 | 365. | 365 + ¼ – … | Meyer-Palmen Solilunar Calendar |
Parentheses show repeating digits, three dots (…) show continuing decimal fractions.
All items (37)
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