on Plate
50.

It may be justly argued that such relation to some given day of the month
would necessarily follow in any series of this kind made up by adding
together intervals of days and months. Still it is not at all likely that
these series were made up without reference to fitted and determinable
dates. If so, the months given must be months of certain determinable
years, and the days denoted must be days of particular months. In other
words, if we had the proper starting point we should be able to determine
the position in the calendar of any day or month mentioned in the series.

First. It is easily seen by reference to the calendar (Table II) that Cib
is not the sixteenth day of the month of any of the four years, nor is
Cimi the sixth nor Kan the fourth. The idea that the figures of this
lower line represent the days of the month must, therefore, be given up
unless we assume that the year commenced with Ymix. It may be worthy of
notice at this point that the list of days on the so-called "title page"
of the Manuscript Troano begins with Ymix. It is also true that the
remarkable quadruple series in the Codex Cortesianus on Plates 13-18
commences with Ymix; as this is evidently some kind of a calendar table,
its bearing on the question now before us is important.

Second. It can easily be shown that the months referred to in the series,
if the numbers given denote specific months, are not those of the Kan
years. The first, 8 Cib, if in the eleventh month, must be in the year 4
Kan; counting forward from this 4 months and 10 days to 7 Cimi brings us
into the sixteenth month of the year 4 Kan; this agrees with our figures
on Plate 46. Counting forward 12 months and 10 days to 10 Cib, we reach
the tenth month of the next year; 8 days more carry us to the eleventh
month, which still agrees with the figures in the codex. Counting 11
months and 16 days more to 7 Ahau, we reach but do not pass the fourth
month of the next year; hence the result does not correspond with the
series, which has at this point a 5 in the middle line. The same will be
found true in regard to the other years as given in our calendar (Table
II). This result, as a matter of course, must follow if the figures in
the lower line of the series do not denote the month days of some one of
the year series as usually given.

Another fact also becomes apparent here, viz, that the 5 supplemental
days of the year are not brought into the count, the year