refore, that the intervals between the three correspondingly
opposite days of any two associate columns are the same; that is to say,
the interval between 5 Akbal and 13 Ahau, in the first two columns given
above is the same as that between 4 Ik and 12 Cauac, and also as that
between 6 Kan and 1 Ymix. This is also true if the attached week numbers
are omitted; for instance, the interval between Ik and Cauac, counting on
the list of days forming the month, is 17 days, and it is the same
between Kan and Ymix. Taking the second and third columns we find here
the same interval. This holds good in that part of the series above given
until we reach the last two columns; here the interval between Oc and
Ezanab is 8 days and it is the same between the other days of these two
columns.

This being ascertained, the next step is to determine the true interval
between the first days of these columns, taking the numbers attached to
them into consideration. Referring to our calendar (Table II) and (for
reasons which will be given hereafter) using the Muluc column and
counting from 4 Ik, as heretofore explained, we find the interval between
this and 12 Cauac to be 8 months and 17 days; counting in the same way
from 12 Cauac, 8 months and 17 days more bring us to 7 Cib; 8 months and
17 days more to 10 Oc. So far the intervals have been the same; but at
this point we find a variation from the rule, as the interval between 10
Oc and 2 Ezanab (first of the next column) is 7 months and 8 days.

These intervals furnish the explanation of the red and black numerals
below the day columns.

These numerals, as the reader will observe by reference to Fig. 363 or
the written interpretation thereof in Table VI, are 8 and 17 under the
first five columns, but 7 and 8 under the sixth column, the red (8 under
the first five and 7 under the sixth) indicating the months and the black
(17 under the first five and 8 under the sixth) the days of the
intervals. This holds good throughout all that portion of the series
running through the lower divisions of Plates 51 to 58, with three
exceptions, which will now be pointed out.

In order to do this it will be necessary to repeat here a part of the
series on Plate 51_b_ and part of that on Plate 52_b_; that is, the two
right hand columns of the former and the two left hand columns of the
latter, between which is the singular picture shown in the _lower left
hand corner_ of our Fig. 364:

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