722 MAYAN CALENDAR SYSTEMS [ETH. ANN. 19 
days of the year 12 Ezanab—and dividing the remainder (4,838) by 
365, we obtain 13 years and an overplus of 93 days, or 4 months and 
13 days. Counting on our table 3,13 years from 12 Ezanab, we reach 
12 Akbal. As the next year is 13 Lamat, we count forward on table 1, 
4 months and 13 days. This brings us to 1, the 13th day in the column 
headed 2, and opposite, in the Lamat column, we find the day Ahau, 
agreeing with the date at the foot of the column C1 of our figure. 
The date here is therefore 1 Ahau, the 13th day of Tzeec, the 5th month 
of the year 13 Lamat, according to the assumed initial date. 
As the differences between the columns of the upper division of our 
figure are not the same, a calculation must be made in each case to 
make the proof positive. 
Subtracting column Cl from Bl, we find the remainder to be 4 
katuns, 18 ahaus, 17 chuens, 0 days, together equal to 35,620 days. 
Subtracting one calendar round—18,980—there remain 16,640 days. 
As our last date was 1 Ahau, the 13th day of Tzec, the 5th month of 
the year 13 Lamat, our count now must be from this date. Subtract- 
ing 272—the remaining days of this year—from 16,640 and dividing 
the remainder by 365, we obtain 44 years and an oyerplus of 308 days. 
Referring to table 3 and counting 44 years from 13 Lamat, we reach 
5 Lamat. As the next year is 6 Ben, we count 308 days, or 15 months 
and 8 days, in this year. This brings us to the 8th day of the 16th 
month (the column headed 7), which we find is 1, and opposite, in the 
Ben column, the day Ahau, which agrees with the plate. The date 
therefore is 1 Ahau, the 8th day of Pax, the 16th month of the year 6 
Ben. 
Subtracting column Bl from Al, we find the difference to be 16 
katuns, 2 ahaus, 15 chuens, 0 days, equal to 116,220 days. Subtracting 

6 calendar rounds, or 113,880 days, we get the remainder 2,340. As 
our last date was 1 Ahau, 8th day of Pax, 16th month of the year 6 
Ben, we subtract from 2,340 days 57, the remaining days of the year 6 
Ben. This leaves 2,283 days, which divided by 365 gives 6 years and 
an overplus of 93 days. Counting on table 3, 6 years from 6 Ben, we 
reach 12 Albal, the next year being 13 Lamat. Counting on table 1, 93 
days, or 4 months and 13 days, beginning with the column headed 13, 
and 13 days down the column headed 2, we reach 1, and find opposite, 
in the Lamat column, the day Ahau, which agrees with the plate. The 
dates obtained are, it must be remembered, based on the assumed 
starting point 1 Ahau, 13 Tzec, year 13 Lamat; this, however, does 
not affect the correctness of the result. 
As has been stated, to obtain the true interval where calendar rounds 
(or cycles of 52 years) have been subtracted, these must be added. 
The true interval, therefore, between column B1 and A1 of our figure 
8 is 6X 52+4+6=318 years and 57+-93 days, or 318 years 7 months and 
10 days. 
