,,'|f,'/\J SERIES IX PLATES LIII-LVIII. 



of the fcieries. Counting forwaid liom this 7 months and S days, 

 Muluc, the first day of the third column should be reached, but the count 

 passes into the second year. Counting;' forward days which remain 

 of the m<mth Cundiu and the 5 intercalary days, 12 Eb is readied ; hence 

 the next year must begin with %i Ben. Having counted 11 days, 

 there remain months and 17 days of the period of 7 months and 8 

 days. Commencing with IJ lien, the first day of the month Pop, this 

 period closes with (5 Mnlnc. which is the seventeenth day of the seventh 

 month A'axkin. 



It is evident, therefore, that this series and all those similarly con- 

 structed can be explained according to the usual calendar system; and 

 this will hold good if the count is begun in any one of the four years. 

 It will be found true in the example just given if the reckoning begins 

 with G Kan of the Akbal, Ben, and Ezanab years. A little study of the 

 calendar will show that this must necessarily be true of all series regu- 

 larly formed in which the nnmths and days of the month are not given. 

 As proof of this a short series arbitrarily formed for illustration, in 

 which the intervals differ fi-om one another, is i)resented: 



1 



1 Kan 



In this, as in the last example, the numbers below indicating the 

 intervals are given in mouths and days. Turning to table 3 (page 21), 

 1 Kan, the second day of the year 13 Akbal, may be selected. It is, 

 therefore, the second day of the month Poj). Counting forward, 

 months and 7 days we reach 11 Chuen, the ninth day of the month Yax- 

 kiu; then 5 mouths and 14 days end with S Chicchan, the third day of 

 the thirteenth month, Mac. Assuming that the year consists of 365 

 days, there will remain to be counted in this year (13 Akbal) 5 months 

 and 17 days, and the 5 intercalary days. This leaves to be counted 3 

 months and 2 days of the interval of 9 months and 4 days under the 

 last column of the series. As the next year must, according to the 

 rule, be 1 Lamat, the count commences with 1 Lamat, the first day of 

 the nronth Pop; and being carried forwards months and 2 days extends 

 to 10 jVFuIuc, the second day of the fourth month Tzoz of the year 1 

 Lamat, and the last day of the series. 



As proof that this series is constructed on the same plan as that on 

 plates 53-58 of the Dresden codex, except that the intervals are arbi- 

 trarily given, it may be pointed out that each maj^ also be traced on 

 the theory that the year consisted of 360 days which always commenced 

 with the same day. As the method of proving this has been shown 

 above, further demonstration would seem to be unnecessary. 



