1881.] Lhe Manuscript Troano, 631 
As each of the four days (the year bearers) can have but thir- 
teen different numbers, it is unnecessary for us to have more than 
thirteen columns of numbers; when we reach the thirteenth col- 
umn, or month, we have passed through all possible changes of 
numbers, and the fourteenth month begins with one as did the 
first. Instead, therefore, of having eighteen columns in our table, 
we need to extend it only so as to include thirteen, as we can 
use the first, second, third, fourth and fifth respectively for the 
fourteenth, fifteenth, sixteenth, seventeenth and eighteenth 
months, as indicated by the numbers of the months which we 
have placed above the table. 
The reader must bear in mind the fact that although we have 
’ numbered the months as commencing with the left hand column, 
which has 1 for its upper figure; yet this holds good only when 
the year is r Cauac, 1 Kan, 1 Muluc or 1 Ix, and for none of the 
, other years, The first month of the year may be any one of the 
thirteen columns, thus, 8 Cauac, 8 Kan, 8 Muluc and 8 Ix have 
the second column—which has 8 as its top figure—as their first 
month, then the one with 2 at top will be the second month, and 
So on to the thirteenth (7 at top) which will be the 12th month. 
Then we go back to the first column (1 at top) for the 13 month, 
and so on to the one with ro at top for the 18th month. As the 
months always retain the same order and numbers, by knowing 
the column with which the year begins, we can, by counting in 
this way, find any month for any possible year. We must here 
warn the reader against confounding the days of month with the 
days of the week, the latter being the ones by which the days are 
usually designated; we must also warn him against confounding 
the numbers of the months with the top numbers of the columns. 1 
will now show how this table is to be used by giving one or two 
examples : 
Given the day 8 Ahau and the year 11 Kan to find the month 
and day of the month. As the year is 11 Kaz, we must look to 
the Kan column. By running our eyes down this column we find 
that Ahau is the 1 7th day ; then by looking along the 17th trans- 
verse line we find the figure 8 to be in the column which has 5 
at the top, which we find is the second (always counting both) 
from the column with 11 at top; hence 8 Ahau of the year It 
Kan is the 17th day of the 2d month. 
In the same way we find that 8 Ahau of the year 11 Muluc is 
. 
