288 AIDS TO THE STUDY OF THE MAYA CODICES. 



is evidently the number to be used in the count; but this arbitrary 

 correction should not be resorted to so long as any other explanation 

 is possible. From the fact that immediately under these numbers 

 there are certain symbols which appear to have some reference to the 

 termination of one year or cycle and the commencement of another, 

 it is possible that a supplemental, unnumbered, but not uncounted 

 day has been added. The fact that this interval of twelve days 

 includes the day Ymix lends some jirobability to this supposition. 

 Using 11 instead of 12, we continue our count as follows: IV+11 — 1.3 

 =11; II+.5=VII; VIH-8-13=II; II+11=XIII. Thirteen is, there- 

 fore, the last number of the series, which is wanting in the codex. 

 The 8 and II next to the last pair of the series are not in line with 

 the other numbers, but thrust into and near the bottom of the column 

 of characters in the upper division of Plate 39. Adding together the 

 black numbers as thus amended and restored, viz, 11, 8, 20, 13, 6, 20, 

 12, 19, 5, 1, 20, 12, (\, 8, 5, 7, 11, 5, 8, 11, the sum is found to be 208, 

 which is a multiple of 13, and the final number of the series is 13. 

 On the other hand, the sum of the series does not indicate the inter- 

 val between the days of a column counting downwards, nor between 

 two consecutive days or the corresponding days of two adjoining 

 columns in any direction. The number of days from 13 Manik to 13 

 Chuen is 104, but counting 208 days from 13 Manik brings us to 13 

 Men, the third day of the first (left hand) column; 208 more to 13 

 Akbal, the fifth; 208 more to 13 Chuen, the second; and 208 more to 

 13 Cauac, the fourth, thus completing the column. 



As these columns do not appear to form a continiious series it is 

 possible they pertain to four different series of years, though the fact 

 that each includes more than one year would seem to forbid this idea. 

 It is more probable that they pertain to four different series, to each 

 of which the line of numerals is to be considered as belonging. 



The black numerals above the columns present a problem which I 

 am unable to explain. The niuubers stand in the original as follows: 

 1 



4 13 9 4 



15 13 3 11 



If we suppose that the lowest line denotes days, the one next above, 

 months, and the uppermost, in which there is but a single number, 

 years, the series will appear to be ascending toward the left, with the 

 difPerence 4 months and 11 days, as sho^\^l by addition, thus: 



Y. M. D. 



4 11 Numbei-s over the fourth coliiiun. 



4 11 



3 Numbers over the third 



13 Numbers over the second column. 



