TBOMAs.i THE PEREZ MANUSCRIPT. 193 



Although, as shown by Table XVII, the grand cycles, if counted from 

 the year 1 of each period, would begin with the 1st Ahau, yet, as the 

 Indians chose, for some reason, to begin these periods with the 13th, our 

 calculations must correspond with this ai'bitrary selection. I therefore give 

 here a brief table of cycles, with the corresponding years of our era, run- 

 ning backward : 



Years. 



Fourth grand cycle 1519-1830 



Third grand cycle 1207-1518 



Second grand cycle 895-1206 



First grand cycle 583- 894 



The numbers given the grand cycles are (for the present, at least) arbi- 

 trary, given simply as a means of reference. We see from this table that 

 the year 935 would fall in the grand cycle numbered 2, and, as before stated, 

 in the 11th Ahau. Referring to this manuscript again, we see that Mayapan 

 is first mentioned in the 7th paragraph, where it is stated that "the 2d Ahau, 

 13th, 11th, 9th, 7th, 5th, 3d, 1st, 12th, and 10th Ahau, 200 years, they [the 

 Tutul Xiu] governed in Uxmal with the governors of Chichen-Itza and 

 Mayapan." 



Here we find our 11th with but two Ahaues preceding it, or, as we 

 judge from the j^i'eceding clause — "In this Katun of the 2d Ahau" — but 

 one and part of another. Supposing Mayapan to have been in existence at 

 the commencement of the periods here named, it would carry us back only 

 some forty or fifty years beyond Herrera's general statement; but this is 

 more than accounted for by the diiference in the estimated length of the 

 Ahau. 



If we count the Ahaues necessary to complete the number from the 2d 

 in the commencement of the seventh paragraph to the 2d in the eleventh 

 paragraph when the Spaniards first appeared, filling up the lacunae and 

 making the correction in the eighth paragraph suggested by Dr. Valentini, 

 we shall find the number to be as follows: 



2, 13, 11, 9, 7, 5, 3, 1, 12, 10, 8, 6, 4, 2. 

 13, 11, 9, 7, 5, 3, 1, 12, 10, 8, 6, 4, 2. 



Making 27 Ahaues, or 648 years. 



13 M T 



