bers, applied
indiscriminately to the 20 days of the month.

3d. It has been explained, that as the year was formed of 26 weeks and
one day, by this overplus the years succeeded each other, following the
correlative order of their numbers up to 13, in order to form a week,
or indiction; for if the year had been composed of exactly 28 weeks,
the numbers of the new years would never have formed a correlative
week, because they would have commenced with the number 1, and finished
with 13; by the other method, one year begins with the first, and
terminates in the same; the second year commences with the number 2 and
also finishes with it; and so on successively, until the 13 are
completed.

4d. It has also been explained that the Indians, seeing that 18 months
of 20 days did not make up the sum of 365, in order to complete them
added five days more; resulting from this, the 20 days were divided
into four portions, and the first of each of these, being _Kan_,
_Muluc_, _Gix_, and _Cauac_, became initials, forming in turn the
beginning of the years by courses of four years, every fifth year
commencing again with Kan. But as the weeks were composed of 13
numbers, there were in each week three revolutions of the four initials
and one initial more, by this excess of one causing each initial to
have its own week: thus the indiction, or week, which began with _Kan_
concluded also with the same _Kan_; so that the next indiction might
commence with _Muluc_, the second initial, and in its turn conclude
with the same _Muluc_; and so on continually, until each one of the
initials had formed its own indiction, or week, and given to it its
name; the whole composing 52 years, which is the sum of the four weeks
of 13 years each, as may be seen in the following table.

_Order of the years in the cycle of 52, divided into four indictions,
or weeks of years, and as the year 1841 happens to be the first of one
of these cycles, it is taken as the starting-point._

|----------------|----------------|-----------------|----------------
| 1st indiction | 2d indiction | 3d indiction | 4th indiction
|----------------|----------------|-----------------|----------------
|1841 1. Kan. |1854 1. Muluc. |1867, 1. Gix. |1880, 1. Cauac.
|1842, 2. Muluc. |1855, 2. Gix. |1868, 2. Cauac. |1881, 2. Kan.
| &c. 3. Gix. | &c. 3. Cauac. | &c. 3. Kan. | &c. 3. Muluc.
| 4. Cauac. | 4. Kan. | 4. Muluc.