The Mayan calendar round is based upon two important cycles: the 260 ritual cycle and the 365 day vague year. The 260 day cycle consists of the complete cycle constructed by the interlocking of the first 13 numbers with the 20 named days , as seen in the diagram below.

Because the two sequences are of unequal length (13 & 20), when the cycle of length 13 ends the first time, the fourteenth day, Ix, aligns with the number 1. Therefore the sequence at the beginning of the 260 day cycle is:

- 1 Imix
- 2 Ik
- 3 Akbal
- 4 Kan
- .
- .
- .
- 1 Ix
- 2 Men
- 3 Cib

and so forth, until, after 260 days the two cycles are aligned again, and the entire cycle begins again.

To complete the calendar round the date as given by the 260 day
cycle is matched with the day given by the solar year, the Mayan
Vague Year. This year is 365 days is long. The Mayans, while
recognizing that this was not quite correct and correcting for the
fact in important astronomical calculations, used only whole days in
their calendar. The Vague Year date was formed in the same way as the
260 year cycle, using 18 months of 20 days each plus a short month of
5 days, which were considered unlucky, at the end of the year. The
last day of each month, instead of being labeled 20, was given a
special symbol, indicating the *seating* of the month about to
begin. This was to indicate the fact that the influence of the next
month could be felt before it actually began.

If these two cycles are begun at the same time, a period of
approximately 52 years (18,980 days) will pass before all of the
cycles are back in the same alignment. This cycle is called the
Calendar Round and is the calendar still in use by the people in the
highlands of Mexico. It has obvious shortcomings when periods longer
than 52 years are to be recorded. This problem is dealt with by the
**long
count**.