scribing some event which it was necessary to
distinguish from others, the 8th Ajau was established as a distinct
date, and it was understood that the 312 years had elapsed, which made
up the whole Katun, in order to return to the same number; this was
more clear, if the writer explained that a _uudz Katun_ had elapsed,
which is the sum total of the thirteen Katunes, or the great cycle.
They had various modes of quoting the _Ajaues_, as by saying generally
the beginning, middle, or end of such an Ajau, or by mentioning the
years of the Katun which had elapsed, without stating the month or day
of the year, or by specifying all the particulars of the epoch, the
year, month, and day. Such is the passage in which is noticed the death
of a certain, without doubt very notable, _Ajpula_. It is said that he
died in the 6th year of 13 Ajau, when the first day of the year was 4
Kan at the east end of the wheel, in the day of 9 Ymix, 18th of the
month Zip. This date being so circumstantial, we will trace it out,
that it may serve as an example.

Looking at the series of years which belong to the 13 Ajau, and which
we have given above, it will be seen that 12 Cauac falls in the year
1488, the second day of that year being, therefore, the beginning of
the 13th Ajau; that the year 1493 is the sixth from the beginning of
the said Ajau, and that its first day is designated as 4 Kan, which is
the title of that year, "18th of the month Zip." As this month begins
on the 25th of August, the 18th corresponds with the 11th of September.
Let us see now whether this 18th day falls on 9 Ymix. The first month
of that year commenced with 4 Kan, since 4 Kan designates that year
(see the rule given in treating of the months). We find the numbers (of
the week) annexed to the first days of the following months by
successively adding 7 to each month, &c. (or, which is the same thing,
by the rule _buk xoc_). The number of the 1st day of the 1st month
being in this case 4, the number of the 1st day of the 2d month will be
4+7=11, and that of the 1st day of the 3d month, viz., of Zip, will be
11+7-13=5. That month begins, therefore, in that year, with 5 Kan, and
the following days are,

|-------------|------------------|-------------|------------------|
| Days of | Days of | Days of | Days of |
| Aug. | Zip. | the Week. | Aug. | Zip. | the Week. |
|------|------|------------------|------|------|---------------