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but after the thirteenth day they again begin with the number 1, and the 20th day therefore was figured with the number 7, and also that the Mexicans counted their smallest period with 13 years, the so-called tlapilli, and upon its quadruple the cycle of 52 years was based. The lesser Maya or Ahau period is 20 years, while the greater or Ahau Katun is 260 years or 13 times the smaller. Señor Perez's lesser period of 24, and the greater one of 312 years show the same method and calculation (13×24=312).

This conformity between the early calendars of Central America should not escape the observation of the future historical enquirer. He will be compelled to adopt a very remote period of time when both nations, differing so entirely in their language, dwelt in peace, connected by the strong bands of a hierarchical power. One of these two nations, it is clear, must have invented it. Hence the question arises, was it original with the immigrating Nahuatl tribes who came from the higher northern countries as is reported, and did they succeed in forming such a consolidation with the Maya races as to mingle both under the same hierarchical government, or did the contrary take place? The most prevalent opinion makes the Nahuas the inventors of the general system of chronology, but later students begin to express themselves in favor of its Maya origin. On a more fitting occasion we are desirous to present our reasons for taking the latter view.

Before passing from these chronological speculations to the discussion of the Maya Manuscript, we wish to state briefly our idea of the origin of the system of reckoning by alternating Ahaues. [See page 24]. We promised to return to this subject, and shall now endeavor to give a solution to this chronological problem differing from that of Seiior Perez. A passage in Bishop Landa's work, determined our decision. After a previous and positive assertion that the lesser Ahau period consisted of 20 years, Landa continues, .... " The order in which they com-