MOELEY] INTRODUCTION TO STUDY OF MAYA HIEROGLYPHS 255 



of which the 1 is expressed by the second red number and the name 

 part Manik only indicated by the calculations. 



The beginning day of the next subdivision of the tonalamatl may 

 now be calculated from the day 1 Manik by means of rules 2 and 3 

 (p. 253). Before proceeding with the calculation incident to this step 

 it will be necessary first to examine the next black number in our 

 tonalamatl. This will be found to be composed of tliis sign (*), ^;^) 

 to which 6 (1 bar and 1 dot) has been affixed. It was explained * 

 on page 92 that in representing tonalamatls the Maya had to have a 

 sign which by itself would signify the niunber 20, since numeration by 

 position was impossible. Tliis special character for the number 20 

 was given in figure 45, and a comparison of it with the sign here under 

 discussion wdll show that the two are identical. But in the present 

 example the number 6 is attached to this sign thus: (**), 

 and the whole number is to be read 20 + 6=26. This 

 number, as we have seen in Chapter IV, would ordinarily have been 

 :_ written thus (f ) : 1 unit of the second order (20 miits of the first 

 t order) +6 units of the first order = 26. As explained on page 

 92, however, numeration by position — that is, columns of units — 

 was impossible in the tonalamatls, m which many of the numbers 

 appear in a horizontal row, consequently some character had to be 

 devised which by itself would stand for the number 20. 



Returning to our text, we find that the "next black number" is 

 26 (20 + 6), and this is to be added to the red number 1 next pre- 

 ceding it, which, as we have seen, is an abbreviation for the day 

 1 Manik (see rule 2, p. 253). Adding 26 to 1 gives 27, and deducting 

 all the 13s possible, namely, two, we have left 1 (27 — 26); this num- 

 ber 1, which is the coefficient of the beginning day of the next subdi- 

 vision, will be found recorded just to the right of the black 26. 



The day sign corresponding to this coefficient 1 will be found by 

 coimting forward 26 in Table I from the day name Manik. This will 

 give the day name Ben, and 1 Ben will be, therefore, the beginning 

 day of the next subdivision (the third subdivision of the first main 

 division). 



The next black number in our text is 13, and proceeding as before, 

 this is to be added to the red number next preceding it, 1, the abbre- 

 viation for 1 Ben. Adding 13 to 1 we have 14, and deducting all the 

 23s possible, we obtain 1 again (14-13), which is recorded just to 

 the right of the black 13 (rule 2, p. 253).^ Counting forward 13 in 

 Table I from the day name Ben, the day name reached will be Cimi, 

 and the day 1 Cimi will be the beginning day of the next part of the 

 tonalamatl. But since 13 is the last black number, we should have 

 reached in 1 Cimi the beginning day of the second main division of 



1 In the original this last red dot has disappeared. The writer has inserted it here to avoid confusing 

 the beginner in his first acquaintance wit h a tonalamatl. 



