To the same group of events--the passing of Tollan and the deluge--belong the stories of the building of the great pyramid of Cholula and the portents which accompanied it. It is said[54] that, reared by a chief named Xelua, who escaped the deluge, it was built so high that it appeared to reach heaven; and that they who reared it were content, "since it seemed to them that they had a place whence to escape from the deluge if it should happen again, and whence they might ascend into heaven"; but "a chalcuitl, which is a precious stone, fell thence [i.e. from the skies] and struck it to the ground; others say that the chalcuitl was in the shape of a toad; and that whilst destroying the tower it reprimanded them, inquiring of them their reason for wishing to ascend into heaven, since it was sufficient for them to see what was on the earth." It is worth while to remember that the hybristic scaling of heaven is no uncommon motive in American Indian myth, while the moral of the tale is honestly pagan--"mortal things are the behoof of mortals," saith Pindar; nor can we fail to see in the green jewel the jealous Earth-Titaness, for the toad is Earth's symbol.
The duration of the cosmic Suns is given various values by the recorders of the myths. These, no doubt, issued from variations in calendric computations; for the Mexicans not only possessed an elaborate calendar; they also used it, in its involved circles of returning signs, as the foundation for calculating the cycles of cosmic and of human history. It is essential, therefore, if the genius of Mexican myth be fully grasped, that the elements of its calendar be made clear.
The Mexican calendar is one of the most extraordinary inventions of human intelligence. Elsewhere the science of the calendar is a lore of sun, moon, and stars, and of their synodic periods; in the count of time astronomy is mistress, and number is but the handmaiden. In the Mexican system this relation is distinctly reversed: it is number that is dominant, and astronomy that is ancillary. One might, indeed, add that the number is geometric. It is common enough elsewhere to find the measures of space influencing the measures of time, but ordinarily they are the measures of celestial, not of terrestrial, space; and they are, therefore, moving, and not stationary, numbers. In the Mexican system the controlling numerical ideas appear to be the 4 (5) and the 6 (7) of the world-quarters--these in their duplicate forms, 9 (= 2 x 4 + 1) and 13 (= 2 x 6 + 1)--and all are under the domination of the four by five digits (two fives of fingers and two of toes) of their vigesimal system of counting. Man in the Middle Place of his cosmos; oriented to the rising Sun; four-square with the Quarters, which are duplicate in the Above and the Below; counting his natural days by his natural digits: this is the image which makes most plausible our explanations of the peculiarly earth-tethered calendar of the Mexicans, and, in consequence, of a cosmographical rather than an astrological conception of the Fates and Influences.