206 MAYAN CALENDAR SYSTEMS [eth, ann, 22 



Subtracting from this i-emainder the 17 days which I'emaiu in the 

 year 8 Ben, after 4 Ahan 8 Cumhii, and dividing the remainder by 

 865, we obtain 43 years 16 months and 5 days. Counting forward 

 this length of time (in the manner explained in my previous paper) 

 from 4 Ahau 8 Cumhu, year 8 Ben, brings us to 12 Caban 5 Kayab, 

 year 13 Ben." 



The "calendar round" is, as has been explained in my previous 

 paper, the term Goodman applies to the 52-year cycle, at the end of 

 which period, counting from any point, the same date as that from 

 which we count returns. The casting out of these calendar rounds, 

 each of which amounts to 18,980 days, does not affect the result, as 

 counting the remainder from the initial to the terminal date will give 

 precisely the same result as counting the entire sum of the series — 

 except that to determine the lapse of time, the number of years 

 covered by the calendar rounds cast out must be added. For examijle, 

 in case of the above-mentioned series, as 73 calendar rounds were cast 

 out, 73 X 52 years must be added to the result obtained by dividing 

 the remainder by 365, in order to ascertain the real lapse of time from 

 the initial to the terminal date. 



Having the date 12 Caban 5 Kayab and (supposed) the 4 chuens 

 (or months) and 17 days, we turn to my condensed calendar or to 

 Goodman's "Archaic Annual Calendar," and search through tlie 

 tables of years until we find the year in which 12 Caban is the 5th 

 day of the month Kaj'ab. This in Goodman's tables is found to be 

 the 51st year, or, in my table, the year 13 Ben. Counting back on 

 tiie table of this year 4 months and 17 days, we reach 6 Ahau, the 8th 

 day of the month Ceh, which, according to Goodman's scheme, will be 

 the first day of an ahau. Turning now to Goodman's "Archaic 

 Chronological Calendar" and to his 54th great cycle, we hunt for the 

 place where 6 Ahau is the 8th day of the month Ceh. We find tliis 

 in the 0th cycle, 14th katun, and looking at the column at tlie left 

 margin we ascertain that it is the 13th ahau, which agrees exactly 

 with the initial series as given above (54-9-14-13-4—17). 



This seems to be confirmatory; however, before accepting it as con- 

 clusive let us examine a little further. Without any change, or sup- 

 posed change, from the date and numbers of chuens and days used 

 in the preceding calculation, we look farther in Goodman's "Archaic 

 Clironological Calendar" to see if 6 Ahau 8 Ceh can be found else- 

 where, confining our examination to his 54th great cycle. We do find 

 it in the 13th cycle, 4th katun, 17th ahau, which gives the series 

 54-13-4-17-4-17.. 



Remembering that the 13th cycle, according to his scheme, is the 

 first cycle of his great cycle, and must, therefore, be omitted from the 

 calculation, and counting forward 4 katuns, 17 ahaus, 4 chuens, and 

 17 days from 4 Ahau 8 Cumhu, the first day of the great cycle, we 



" For condensed calendar and table of years see the end of this paper. 



