Aybek’s Perpetual Moon Calendar
This calendar is inspired of Omer Hayyam’s Sun Calendar based on 33 module and investigate ideal module number for moon circles.
One moon year is 354.3670 days. So it requieres fraction almost equal to 0.3670 which is 29/79. Which means we must make 29 leap years in moon 79 years. We must distribuite these 29 leap years in homogenic practical way, easy to memorise and apply. We need an algorithm valid during 79 years.
One moon year is 354,3670 days. Aybek’s moon calendar’s normal year is 354 days, leap year is 355 days. Aybek’s moon calendar has circles of 79 years to define leap year. After 79 years circle starts over.
The algoritm of leap years by letters:
| L | N | N | L | N | N | L | N | N | L | N | N | L | N | N | L |
| L | N | N | L | N | N | L | N | N | L | N | N | L | N | N | L |
| L | N | N | L | N | N | L | N | N | L | N | N | L | N | N | L |
| L | N | N | L | N | N | L | N | N | L | N | N | L | N | N | L |
| L | N | N | L | N | N | L | N | N | L | N | N | L | N | N |
This chart indicates there are 29 leap years and 50 normal years in 79 of period. 79 years has 27995 days. This mean average year is 354,3670 days.
Aybek’s Calendars months are 12.
| Month | Days of normal year | Days of leap year | ||
| 1 | Muharram | ٱلْمُحَرَّم | 30 | 30 |
| 2 | Safar | صَفَر | 29 | 29 |
| 3 | Rabialevvel | رَبِيع ٱلْأَوَّل | 30 | 30 |
| 4 | Rebialahir | رَبِيع ٱلْآخِر | 29 | 29 |
| 5 | Jamuadalula | جُمَادَىٰ ٱلْأُولَىٰ | 30 | 30 |
| 6 | Jumadalahira | جُمَادَىٰ ٱلْآخِرَة | 29 | 29 |
| 7 | Rajab | رَجَب | 30 | 30 |
| 8 | Shaban | شَعْبَان | 29 | 29 |
| 9 | Ramadan | رَمَضَان | 30 | 30 |
| 10 | Shevval | شَوَّال | 29 | 29 |
| 11 | Zilkaide | ذُو ٱلْقَعْدَة | 30 | 30 |
| 12 | Zilhicce | ذُو ٱلْحِجَّة | 29 | 30 |
The month starts with first visible crescent.
Mod 79 of year value is showing if year is leap year or not. For example year 540:
Ex: How many days are in first 600 years?
There are 7 times 79 circles and more 47 years.
27995 x 7 = 195 965 days
Until year 47 there are 17 leap years.
(354 x 47) +17= 16 655 days
195 965 + 16 655 = 212620 days
Moon calendar is observable calendar for on going year, but when someone try to calculate any date in the past or in the future this calendar can be very useful to determine moon phases on determante dates in the history.
Omer Khayyam’s 33 number is related with shams word in Coran mentioned 33 times. Curiously this 79 number also can be find in Coran in this way:
Shams: 33 times
Moon: 27 times
Shams and moon together: 19 times
33 + 27 +19 = 79
2029-Lisbon
İbrahim Aybek
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