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15.5.78.10 Mayan Long Count

The Mayan Long Count is a calendar consisting of 5 cycles that indicate the number of days since the last beginning of the full cycle. The name, definition, and length of each cycle is indicated in the following table.

```  Name       Definition            Length
k'in      = 1 day                1 day
winal       = 20 k'in             20 days
tun       = 18 winal           360 days
k'atun      = 20 tun           7,200 days = about 20 years
b'ak'tun     = 20 k'atun      144,000 days = about 394 years
(full cycle) = 20 b'ak'tun  2,880,000 days = about 7885 years
```

a particular date in the Long Count is written as a set of five numbers, one for each subcycle, separated by periods (.). For example, the date 1.2.3.4.5 means 1 b’ak’tun, 2 k’atun, 3 tun, 4 winal, 5 k’in after the beginning of the full cycle. The beginning of the last cycle, at long count 0.0.0.0.0, is thought to correspond to 6 September -3113 C.E.

The Long Count 13.0.0.0.0 corresponds to 21 December 2012 C.E., and the current full cycle will be complete on 13 October 4772 C.E. The `calendar` function can return, in text form, the Long Count corresponding to any date.

For the Mayan Haab’ and Tzolk’in calendars, see Mayan Tikal Calendar.

Further reading: The Book of the Year: Middle American Calendrical Systems, by Munro. S. Edmonson; University of Utah Press, 1988.