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[A. D. 1506.] At the end of this year occurred the ceremonial of "tying up the cycle," or the festivities attending the close of one of their cycles and the beginning of another. You must know that the Mexicans divided the duration of the world into four ages. The first they called the age of water—Atonatiuh, or "first age of the sun,"—which lasted from the creation of the world until the destruction of mankind in the great flood. The second—Tlaltonatiuh—the "age of earth," was that period when giants dwelt here, and was concluded by terrible earthquakes. The third age—that of air—Ehècatonatiuh, ended in great whirlwinds, in which everything perished along with the third sun. The fourth, the "age of fire"—Tletonatiuh—was to be the last; it began with the restoration of the human race, and, according to their mythology, was to end with the fourth sun. It was owing to this superstition that the closing years of their cycle were full of anxiety; they regarded every omen in the sky, they were never free from the fear that the god of fire would devour them at the termination of every cycle.

This century, or cycle, contained fifty-two years, divided into four periods of thirteen years each. Two of these centuries made up an "old century"—Huehuetiliztli—of one hundred and four years. Their years had four names only, they were: Tochtli, the Rabbit; Acatl, the Cane, or Reed; Tecpatl, Flint; Calli, House. The first year of the century was (1) Tochtli; the second (2) Acatl; the third (3) Tecpatl; the fourth (4) Calli; while the fifth was (5) Tochtli; and so on to the thirteenth year, which ended with Tochtli. The second period, of course, began with Acatl, the third with Tecpatl, the fourth with Calli. By this ingenious arrangement there was no repetition of