83,474 34,732
IX Ix IV Eb.
Two of the numbers and two of the dates are conjectural:--
I read the 1,202,240 as 8. 6. 19. 10. 0. while the Manuscript has 16
instead of 6. I read the 101,812 as 14. 2. 14. 12. the Manuscript has 16
instead of the second 14. And in two places in the third column of page 70,
I have restored the day IV Eb, where the Manuscript incorrectly repeats the
IX Ix, and does the same thing on page 73.
Let us now first consider the construction of those large numbers, which
are connected with the day IX Ix and thus with the 54-series. These numbers
are the two upper ones of columns 1 and 2 and the lower one of column 1 on
page 70.
174 is the starting-point, the number of the day is IX Ix, which seems to
have been chosen because it divides the Tonalamatl approximately in the
proportion of 2 to 1. (IV Ahau - IX Ix = 174.)
The 5359th, 5520th and 4619th multiples of 260 have been added to 174; why
precisely these multiples were chosen remains a mystery. In this way were
obtained the following numbers, which the Manuscript suppresses. I will
give them with their corresponding dates:--
1,393,514 = IX Ix 12 Muan (5 Kan).
1,435,374 = IX Ix 17 Chen (3 Cauac).
1,201,114 = IX Ix 7 Mac (11 Muluc).
When we add to the above the three encircled numbers 606, 1,646 and 86, the
resulting sums are the three numbers found in the Manuscript:--
1,394,120 = IV Ahau 8 Chen (7 Ix).
1,437,020 = IV Ahau 23 Cumhu (7 Cauac).
1,201,200 = IV Ahau 13 Kayab (11 Muluc).
I am placing the first two not far from the present and the third in the
past.
As multiples of 260 these three numbers have the following form:--
1,394,120 = 5362 × 260.
1,437,020 = 5527 × 260.
1,201,200 = 4620 × 260.
Some curious facts come to light with regard to their magnitude and their
mutual relation.
The two largest numbers are 165 × 260 = 660 × 65 apart; this recalls the
65-series. The third lowest number is 165 × 7280 and thus contains not only
the 65 but = 165 × 65 × 112.
The ritual year (364) and its excess over the Tonalamatl (104) is likewise
contained in these numbers, at least in the first and third:--
1,394,120 = 3830 × 364 = 13,405 × 104.
1,201,200 = 3300 × 364 = 11,550 × 104.
The three encircled numbers are connected with one another because the
first = 2 × 260 + 86, the second = 6 × 260 + 86 and the third is 86 itself.
The larger encircled numbers are, therefore, 1040 = 4 × 260 apart, and this
is also the interval between the two numbers near the bottom. 1040,
however, also = 5 × 208, and 208 is the interval from IV Eb to IV Ahau. Now
it is curious that the two numbers below are 5775 × 208 and 5780 × 208,
though the third belongs to day IX Ix and the fourth to IV Eb. One result
of this is that 1,201,200 = 1155 × 1040 and 1,202,240 = 1156 × 1040.
As these three numbers relate to day IX Ix and the 54-series, so the fourth
relates to IV Eb and the 65-series.
Public-domain text, read in full here on John Shaqi.
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