28(i MAYAN CALENDAR SYSTEMS [kth. ann. 22 



Bv afldiiii;- to this the . . . and ==, or together , we obtain the 



sum represented hy . Add this to the Otli oolunin, the 



result is the following number, to wit: "j^ or 9 cycles, 10 katuns, 



14 ahaus, 15 chuens, 5 daj's. 



If no mistake has been made, this number, if we count back from 3 

 Cliicchan 18 Yax, year 1 Lamat, should bring us to 4 Ahau 8 Cumhu, 

 the first day of Goodman's so-called 54tli great cycle. Trial proves 

 it to be correct, thus: 



Days 



9 cycles 1.296,000 



1 kat iins 72, 000 



14 ahans 5,040 



1 o clmens _ . 300 



5 days , . . , 5 



Total l,373,34e 



Subtract 72 calendar ronnds. 1,366,560 



Remainder . . 6. 78.") 



Counting back this number of days from 3 Cliicchan 18 Yax 

 brings us to 4 Ahau 8 Cumhu. Turning to Goodman's '"Chronolog- 

 ical Calendar," 54tli great ej'cle, 0th cycle, 10th katun, and 14th 

 ahau, we find the date is 10 Ahau 18 Mac. Fifteen months and o 

 days from this just reaches 3 Chicchau IS Yax. The series is thei"e- 

 fore a correct one, formed upon the same plan as those of the Dresden 

 codex, and without using anything not in the reach and comprehen- 

 sion of the aboriginal artist. 



The series on plate xxiv of the Dresden codex (our plate Lxxxii) 

 appears to close with a minor addition (in the lower left-hand corner) 

 to reach the desired date, just as the theoretic one given above, ex- 

 cept that in this case the count is forward. The series includes the 

 right half of the plate, and reads from right to left and by lines from 

 the bottom upward, closing with the lines in the lower left-hand 

 corner. Here the steps have been in part from 1 Ahau to 1 Ahau, 

 hence with 260 as the primal factor. Tlie last column is 9-9-1 G-0-0, 

 then follows the number 6-2-0, 4 Ahau 8 Cumhu. The latter number 

 changed into days is the lapse of time from 1 Ahau 18 Kayab, the 

 last ]ireceding date, to 4 Ahau 8 Cumhu. However, as there are some 

 unusual features in regard to the additions in a part of this series, at- 

 tention will again be called to it a little farther on. 



