had lasted only 52 years, it would have terminated in the year 1 Tecpatl instead of 1 Calli. Bustamante, the publisher and annotator of Gama, states that some authorities contend for only three antecedent periods, and that the present age is expected to end by fire. But Mr. Gallatin alleges that the four ages and five suns have been generally adopted, and are sustained by the ancient Aztec paintings contained in the Codex Vaticanus, plates 7 to 10. Like most of the Mexican antiquities, this branch of the Chronology is admitted to be exceedingly obscure, for it is asserted in the Appendix to Mr. Gallatin's essay that the hieroglyphics annexed to these paintings, may be interpreted as giving to the four ages respectively the duration of either 682, 530, 576, and 582, or of 5206, 2010, 4404, and 4008 years.
"This would appear to be purely mythological, but the fact that all these imaginary antediluvian periods consist of a certain number of cycles, shows that this fable was invented subsequent to the time when the Mexicans had attained a knowledge of cycles, years and of the approximate length of the solar year. It seems, therefore, probable that the mythological representation is in some way connected with celestial phenomena, and it is accordingly, found that the days designated in the parallelograms A and C, as 4 Ocelotl, and 4 Quiahuitl, correspond respectively, (on the assumption that the first year of the cycle corresponds with the 31st of December,) with the 13th of May and 17th of July, old style, or 22d of May and 26th of July, new style. And these two days 22d of May and 26th of July, are those, according to Gama, of the transit of the sun by the zenith of the city of Mexico, which, by the observations of
Humboldt, lies in 19° 25' and 57" north latitude and in 101° 25' 20" west longitude from Paris. The two other days 4 Ehecatl, and 4 Atl, do not correspond either in the first year of the cycle or in the year 13 Acatl, with any station of the sun or any other celestial phenomena.