r of the years, but that
of deranging the series of the four initial days, which, as has been
stated, gives designation to the years. It will be seen by the table of
indictions, that each cycle consists of four complete weeks of years,
formed by series of each one of the four initial signs, each week of
years commencing with number one and ending with number thirteen;
consequently, if, at the end of each cycle, a week of days be added,
the first day of the ensuing year would be the 14th in the series of
the 20 days of the month (instead of being the 1st, 6th, 11th, or
16th), thus abandoning the regular series of the four initial days, and
substituting others, changing them again at each new cycle.

6 deg.. _Katun, or Cycle._

The Indians made (painted) a small wheel, in which they placed the four
hieroglyphics of the initial days, _Kan_ in the east, _Muluc_ in the
north, _Gix_ in the west, and _Cauac_ in the south, to be counted in
that order. Some suppose that when the fourth year was accomplished,
and _Kan_ was again in order, a _Katun_ or lustre of four years, was
completed; others, that three revolutions of the wheel, with its four
signs, were reckoned, with one (sign) more, which made 13 years, and
that this completed the _Katun_; others, again, that the four complete
weeks of years, or indictions, constituted the _Katun_; and this is
probable. Besides the small wheel aforesaid, they made another great
wheel, which they also called _buk xoc_ and in which they placed three
revolutions of the four signs of the small wheel, making 12 signs;
beginning to count by the first _Kan_, and continuing to reckon all
until the fourth naming of the same Kan, which was included, thus
making thirteen years, and forming one indiction, or week (of years);
the second reckoning began with _Muluc_, ending in the same, which
formed the next thirteen; and so on, till they came to Cauac, which
formed a Katun.

7 deg.. _Of the Indiction and Cycle of 52 Years, or Katun._

As in the preceding explanations sufficient idea has been given of what
constituted the indiction and the cycle of 52 years, called by the
Indians _Katun_, the facts are briefly recapitulated here, that the
reader may not be fatigued hereafter with new explanations.

1st. The name of indiction is given to each one of the four weeks of
years composing the cycle of 52 years.

2d. The American week was formed by the course of 13 num