Aids to the Study of the Maya Codices / Sixth Annual Report of the Bureau of Ethnology to the Secretary of the Smithsonian Institution, 1884-85, Government Printing Office, Washington, 1888, pages 253-372 - Cyrus Thomas

Taking the 4, V over the bird as the first pair of the series, we have I + 4 = V, which is so far correct; after this follows the pair in the lower left hand corner, 8, XIII, as V + 8 = XIII. It is probable that the obliterated pair in the upper left hand corner followed next, then the pair in the upper right hand corner, and last the partly obliterated one in the lower right hand corner. In this case the obliterated pair in the upper left hand corner should be 11, XI, as XIII + 11 - 13 = XI, and XI + 15 - 13 = XIII, and XIII + 14 - 13 - 13 = I, which makes the terminal red number of the series the same as that over the day column. This restoration requires no change of any of the numbers which can be distinctly read. By adding together the black numbers 4, 8, 11, 15, 14, the sum is found to be 52, precisely the interval between the days of the column. These facts are sufficient to render it more than probable that the restoration and the order as here given are correct. The series as thus given, including the number over the day column, is: I; 4, V; 8, XIII; 11, XI; 15, XIII; 14, I.

This is repeated, because on turning to Dr. Förstemann’s comment on this series I find that he has restored and amended it so as to read thus: I; 10, XI; 4, V; 15, XIII; 9, XIII; 14, I; and he remarks that all would be plain sailing if, for the V before and the XIII after 15, we could read II and IV. This is true, but these numbers are too distinct to justify such change; moreover his “9” is not to be found on the page; it is true that the three dots over the line are not exactly spaced, but there are no indications of a fourth; the number is 8 and should, I think, be so read. His 10 is the obliterated black numeral; of course the value attributed to it depends upon the order given to the series. The fragments remaining of the red number of this pair I think warrant his making it XI.

Plates 46, 47, 48, 49, and 50 are peculiar and seemingly have no direct relation to any other part of the codex. In the upper left hand corner of each are four day columns, all more or less injured, but each column evidently contained, originally, thirteen days, or, more correctly speaking, the symbol for one day repeated thirteen times. In every case the day in the first (left hand) column and that in the third column are the same. As the numbers attached to them are absolutely unreadable in Kingsborough and much obliterated in the photograph, I give here restorations for the benefit of those studying this codex. This restoration is easily made by finding the order of the series, which can be obtained from Plates 49 and 50 of the photographic copy.

Plate 46:
III	Cib.	II	Cimi.	V	Cib.	XIII	Kan.
XI	Cib.	X	Cimi.	XIII	Cib.	VIII	Kan.
VI	Cib.	V	Cimi.	VIII	Cib.	III	Kan.
I	Cib.	XIII	Cimi.	III	Cib.	XI	Kan.
IX	Cib.	VIII	Cimi.	XI	Cib.	VI	Kan.
IV	Cib.	III	Cimi.	VI	Cib.	I	Kan.
XII	Cib.	XI	Cimi.	I	Cib.	IX	Kan.
VII	Cib.	VI	Cimi.	IX	Cib.	IV	Kan.
II	Cib.	I	Cimi.	IV	Cib.	XII	Kan.
X	Cib.	IX	Cimi.	XII	Cib.	VII	Kan.
V	Cib.	IV	Cimi.	VII	Cib.	II	Kan.
XIII	Cib.	XII	Cimi.	II	Cib.	X	Kan.
VIII	Cib.	VII	Cimi.	X	Cib.	V	Kan.

Plate 47:
II	Ahau.	I	Oc.	IV	Ahau.	XII	Lamat.
X	Ahau.	IX	Oc.	XII	Ahau.	VII	Lamat.
V	Ahau.	IV	Oc.	VII	Ahau.	II	Lamat.
XIII	Ahau.	XII	Oc.	II	Ahau.	X	Lamat.
VIII	Ahau.	VII	Oc.	X	Ahau.	V	Lamat.
III	Ahau.	II	Oc.	V	Ahau.	XIII	Lamat.
XI	Ahau.	X	Oc.	XIII	Ahau.	VIII	Lamat.
VI	Ahau.	V	Oc.	VIII	Ahau.	III	Lamat.
I	Ahau.	XIII	Oc.	III	Ahau.	XI	Lamat.
IX	Ahau.	VIII	Oc.	XI	Ahau.	VI	Lamat.
IV	Ahau.	III	Oc.	VI	Ahau.	I	Lamat.
XII	Ahau.	XI	Oc.	I	Ahau.	IX	Lamat.
VII	Ahau.	VI	Oc.	IX	Ahau.	IV	Lamat.

As the arrangement and the order of the series are readily seen from the two examples given, only the top and bottom lines of the remaining series will be presented.

Plate 48:
I	Kan.	XIII	Ix.	III	Kan.	XI	Eb.
*	*	*	*	*	*	*	*
VI	Kan.	V	Ix.	VIII	Kan.	III	Eb.
Plate 49:
XIII	Lamat.	XII	Ezanab.	II	Lamat.	X	Cib.
*	*	*	*	*	*	*	*
V	Lamat.	IV	Ezanab.	VII	Lamat.	II	Cib.
Plate 50:
XII	Eb.	XI	Ik.	I	Eb.	IX	Ahau.
*	*	*	*	*	*	*	*
IV	Eb.	III	Ik.	VI	Eb.	I	Ahau.

A careful examination of these groups will bring to light the following relations of the numbers, days, columns, and series to one another:

The numerals of any one column, counting downwards, differ from one another by 8; that is to say, by adding 8 to any one and casting out 13 when the sum exceeds that number, the next lower number will be obtained; or, reversing the operation and counting upward, the difference is found to be 5. The true interval between the days of the columns (counting downwards) is 3 months (60 days), a rule which holds good as to all the series and each column. Thus, from 3 Cib to 11 Cib is 3 months, or 60 days; from 11 Cib to 6 Cib, 3 months; from 2 Cimi to 10 Cimi, 3 months, and from 13 Kan to 8 Kan, 3 months.

Counting on the list of the days of the month, without reference to the week numbers attached to them, it will be found that from Cib to Cimi is an interval of 10 days, and from Cib to Kan is an interval of 8 days. This rule holds good as to all the series, showing that all are arranged upon precisely the same plan. The true interval between any day of the first column of either series (the week number attached being considered) and the opposite or corresponding day in the second column, is 4 months and 10 days, that between the corresponding days of the second and third columns is 12 months and 10 days, that between the days of the third and fourth columns is 8 days, and that between the corresponding days of the fourth or last column of one series or plate and the first column of the following series or plate (taking the plates in the order they are paged) is 11 months and 16 days.