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neither from the facts alleged nor from the connection into which he wove them together. The peculiar circumstance of having, in his commentary references, four years intercalated in succession to the usual cycle of twenty years, and included in a square, to serve as a "pedestal" to the former, is not capable of shedding new light upon the question and causing us to distrust authorities on which we were accustomed to rely. The other reason, which stands second in his order of forming premises for his conclusion, is said to be the undeniable fact, that those periods took their name Ahau Katun, because they began to be counted from the day Ahau, which was the second day of those years that began in Cavac. Of this uncontrovertible fact the readers are not elsewhere informed. The information, however, which we are able to give is that according to all we have been able to gather on the Maya Calendar, a period, or a single year, commencing with a day named Ahau, has never existed in their system of counting. They always commenced it with the words Kan, Muluc, Hix, Cavac. If there existed any exceptional ground for changing an old established method of dating, the reason should have been stated, for it is preposterous to assume that the first day of a great cyclical period should have taken its name from any other day of the year's calendar than from the four above named. Nor do we understand the reason whj^ just here, the topic of the succession of the numbers 13, 11, 9, 7, 5, 3, 1, 12, 10, 8, 6, 4, 2, was introduced. Could it have been with the intention of showing that this singular enumeration of alternating Ahaues, which we shall hereafter speak of, occurred only in cycles of 24 years, and that therefrom a proof might be derived for establishing the pretended cycle of 24 and 312 years? Evidence of this should have been given by a table showing the series, and by still another table in which should be shown, that such an alternating succession did not occur in cycles composed of 20 years. Not one single fact can be
