160 BUEEAU OF AMERICAN ETHNOLOGY [bull. 57 



from 1,427,400 without affecting the value of the resulting terminal 

 date: 1,427,400-1,423,500 = 3,900. In other words, in counting 

 forward 3,900 from 4 Ahau 8 Cumhu, the same terminal date will 

 be reached as though we had counted forward 1,427,400.^ 



In order to find the coefficient of the day of the terminal date, it 

 is necessary, by rule 1, page 139, to divide the given number or its 

 equivalent by 13; 3,900-^-13 = 300. Now since there is no fractional 

 part in the resulting quotient, the numerator of an assumed fractional 

 part will be 0; counting forward from the coefficient of the day 

 of the startmg point, 4 (that is, 4 Ahau 8 Cumhu), we reach 4 as the 

 coefficient of the day of the termmal date. 



In order to find the day sign of the terminal date, it is necessary, 

 under rule 2, page 140, to divide the givsn number or its equivalent by 

 20; 3,900 H- 20 = 195. Since there is no fractional part in the resulting 

 quotient, the numerator of an assumed fractional part will be 0; 

 counting forward in Table I, from Ahau, the day sign of the start- 

 ing point (4 Ahau 8 Cumhu), w^e reach Ahau as the day sign of the 

 terminal date. In other words, in counting forward either 3,900 or 

 1,427,400 from 4 Ahau 8 Cumhu, the day reached will be 4 Ahau. 

 It remains to show what position in the year this day 4 Ahau distant 

 1,427,400 from the date 4 Ahau 8 Cumhu, occupied. 



In order to find the position in the year which the day of the ter- 

 minal date occupied, it is necessary, under rule 3, page 141, to divide 

 the given number or its equivalent by 365; 3,900 ^365 = 10 f|f. 

 Since the numerator of the fractional part of the resulting quotient is 

 250, to reach the year position of the day of the terminal date desired 

 it is necessary to count 250 forward from 8 Cumhu, the year position 

 of the day of the starting point 4 Ahau 8 Cumhu. It appears from 

 Table XV, in which the 365 positions of the year are given, that after 

 position 8 Cumhu there are only 16 positions in the year — 11 more 

 in Cumhu and 5 in Uayeb. These must be subtracted, therefore, from 

 250 in order to brmg the count to the end of the year; 250 — 16 = 234, 

 so 234 is the number of positions we must' count forw^ard in the new 

 year. It is clear that the first 1 1 uinals in the year wUl use up exactly 

 220 of our 234 positions (11x20 = 220), and that 14 positions will 

 be left, which must be counted in the next uinal, the 12th. But the 

 12th uinal of the year is Ceh (see Table XV); counting forward 14 

 positions in Ceh, we reach 13 Ceh, which is, therefore, the month 

 gl\^h of our terminal date. In other words, counting 250 forward 

 from 8 Cumhu, position 13 Ceh is reached. Assembling the above 

 values, we find that by calculation we have determined the terminal 

 date of the Initial Series in plate 6, A, to be 4 Ahau 13 Ceh. 



' In the present case therefore so far as these calculations arc concerned, 3,900 is the equivalent of 

 1,427,400. 



