Then if we arrange the three numbers with the dates and years belonging to
them, according to the value of the first, this part of the page will run
as follows:--
1,352,400 1,364,360 1,366,560
I Ahau I Ahau IV Ahau
18 Zip 18 Kayab 8 Cumhu
10 Kan 3 Kan 9 Ix.
Let us now consider the properties of the three numbers individually.
1) 1,352,400 = 28 × 48,300 and = 115 × 11,760, hence it is divisible by the
month days of the year of 364 days and by the Mercury year. At all events
this is the least important of the three numbers.
2) 1,364,360. This looks as if it referred particularly to the moon and to
Mercury; to the latter since it is equal to 115 × 11,864, and to the former
if we assume that the lunar revolution has been fixed at 29-2/3 days, in
which case this number is exactly equal to 46,000 such lunations. If this
last number be again divided by 115, the number of days required for a
revolution of Mercury, the quotient is 400, which is a round number in the
vigesimal system and which was therefore denoted by a single word, by Bák
in the Maya (according to Stoll) and by Huna in the Cakchiquel (according
to Seler). 1,364,360, therefore, is a Huna of lunar revolutions multiplied
by the number of days in the Mercury period. Later on we shall find the
lunar revolution fixed at 29-2/3 days.
3) 1,366,560. This is the most comprehensive number of the entire
Manuscript, for it is divisible into each of the following periods:--Those
of the Señores de la noche or Lords of the Cycle (9 × 151,840; this is,
however, the first number of the top row), the Tonalamatls (260 × 5256),
the old official years (360 × 3796), the solar years (365 × 3744), the
Venus years (584 × 2340), the Mars years (780 × 1752), the Venus-solar
periods (2920 × 468), the solar year-Tonalamatls (18,980 × 72), the Venus,
solar, Tonalamatl periods (37,960 × 36), and the periods which are
generally designated Ahau-Katuns (113,880 × 12).
We have next to consider the intervals which elapse between the three
dates.
1) From 1,352,400 to 1,364,360 is 11,960 days, which period we have already
found once on this page by computation. 11,960, however, is equal to 104 ×
115 and 46 × 260, _i.e._, the Mercury revolution and the Tonalamatl
combined. 11,960 is again equal to 32 × 365 + 280, and from the year 10 Kan
to 3 Kan it is actually 32 years, and from the date 18 Zip to 18 Kayab it
is, in fact, 280 days. The day I Ahau must be common to both dates.
2) From 1,364,360 to 1,366,560 is 2200 days, as the Manuscript expressly
states. 2200, however, is equal to 8 × 260+120, and the distance from the
day I Ahau to IV Ahau is in fact exactly 120 days. Further 2200=6 × 365+10;
from the year 3 Kan to 9 Ix it is 6 years and from the date 18 Kayab to 8
Cumhu it is 10 days.
Public-domain text, read in full here on John Shaqi.
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