'"OMAsl METHOD OF NUMBERING THE AHAUES. 43 



Seilor Perez's- theory, tlie only other possible one, so far as I am able to 

 see, illustrating it also by tables (XVIII and XIX). 



According to the statement in the Perez manuscript already quoted, 

 Chief Ajpula died in the 13th Aliau in the year 4 Kan, and there were 

 six years wanting to complete this Ahau. As it appears more than prob- 

 able, judging by the contents of the manuscript itself, that it was written 

 soon after the Spaniards came into possession of the peninsula, we may, I 

 think, rely upon this date as correctly given, although the maimscript is 

 -evidently confused and, in some respects, inaccurate and even contradictory. 



If the grand cycle was divided into Ahaues of twenty-four years each, 

 as heretofore suggested, and as shown in the annexed table (XVII), it 

 follows that the one in which this event occurred must necessarily have 

 been that which I have numbered XIII, as there is no other one in the 

 entire grand cycle that has six yeai's remaining after the year 4 Kan. 



Each of the tables (XVII, XVIII, XIX) includes one entire grand 

 cycle, also one cycle of the preceding and one of the following grand 

 cycles. The commencement and ending of the grand cycles are marked 



thus : :o: ; the divisions between the Ahaues are marked by solid 



black transverse lines, each group of the usually counted years is sur- 

 rounded by a single dotted line; the period embraced by Plates XX-XXIII 

 (our Plates I-IV) is surrounded by a single waved line; the Ahaues are 

 luimbered with Roman numerals. 



Table XVII begins with a Cauac year, and is made in accordance 

 with the theory I have advanced. Tables 'XVIII and XIX commence 

 with a Kan year, and are made in accordance with the theory advanced 

 by Perez; XIX, upon the assumption that the first Ahau commenced 

 with the fourth year of the grand cycle; XVIII, upon the theory that it 

 began with the last year of the preceding grand cycle, as one of these two 

 plans must be adopted to carry out his theory. 



