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24 divided as above, stated, they would not have misled their readers on this point."

Señor Perez continues:—

"It is an incontrovertible fact that those Maya periods, epochs or ages, took their name from Ahau Katun, for they began to be counted from the day which bore the name Ahau, the second day of those years, which began with the name Cavac. But as these days and numbers were taken from years which had run their course, the periods of 24 years could never maintain an arithmetical order, but succeeded each other according to the following arrangement of numbers: 13, 11, 9, 7, 5, 3, 1, 12, 10, 8, 6, 4, 2. As the Indians considered the number 13 the initial number, it is probable that some remarkable event had happened in that year, because, when the Spaniards arrived in the Peninsula, the Indians then counted the 8th as the 1st, that being the date at which their ancestors came to settle there; and an Indian writer proposed that they should abandon that order also, and begin counting from the 11th, solely because the Conquest had happened in that Ahau. Now, if the 13th Ahau Katun began on a second day of the year, it must be that year which began on 12 Cavac, and the 12th of the series. The 11th Ahau would commence in the year of 10 Cavac, which occurred after a period of 24 years, and so on with the rest; taking notice that after the lapse of years we come to the respective number marked in the course of the Ahaues which is placed first; proving that they consisted of 24, and not, as some have believed, of 20 years."

From the heading (§ 8), "Of the Great Cycle of 312 years, or Ahau Katunes," as well as of the text just quoted, it is apparent that Señor Perez intended to establish the fact that the ancient Maya cycles were composed of 24 and 312 years respectively. He does so in manifest contradiction to the prevalent opinion that they consisted of 20 and 260 years. We do not understand the reasons why he should have come to this conclusion. It grew out