[187] The ancient Etruscans arranged their calendar in cycles of 110 solar years, and reckoned the year at 365d. 5h. 40m.; at least this seems probable, says Niebuhr. (History of Rome, Eng. trans. (Cambridge, 1828), vol. i. pp. 113, 238.) The early Romans had not wit enough to avail themselves of this accurate measurement, which came within nine minutes of the true time. The Julian reform, which assumed 365d. 5¼h. as the length of the year, erred as much, or rather more, on the other side. And when the Europeans, who adopted this calendar, landed in Mexico, their reckoning was nearly eleven days in advance of the exact time,--or, in other words, of the reckoning of the barbarous Aztecs;{*} a remarkable fact.--Gama’s researches led to the conclusion that the year of the new cycle began with the Aztecs on the ninth of January; a date considerably earlier than that usually assigned by the Mexican writers. (Descripcion, Parte 2, pp. 49-52.) By postponing the intercalation to the end of fifty-two years, the annual loss of six hours made every fourth year begin a day earlier. Thus, the cycle commencing on the ninth of January, the fifth year of it began on the eighth, the ninth year on the seventh, and so on; so that the last day of the series of fifty-two years fell on the twenty-sixth of December, when the intercalation of thirteen days rectified the chronology and carried the commencement of the new year to the ninth of January again. Torquemada, puzzled by the irregularity of the new-year’s day, asserts that the Mexicans were unacquainted with the annual excess of six hours, and therefore never intercalated! (Monarch. Ind., lib. 10, cap. 36.) The interpreter of the Vatican Codex has fallen into a series of blunders on the same subject, still more ludicrous. (Antiq. of Mexico, vol. vi. Pl. 16.) So soon had Aztec science fallen into oblivion after the Conquest! {*} [See also Wilson, Prehistoric Man, i. p. 246.--M.] [188] These hieroglyphics were a “rabbit,” a “reed,” a “flint,” a “house.” They were taken as symbolical of the four elements, air, water, fire, earth, according to Veytia. (Hist. antig., tom. i. cap. 5.) It is not easy to see the connection between the terms “rabbit” and “air,” which lead the respective series.{*} {*} [The fleet and noiseless motions of the animal seem to offer an obvious explanation of the symbol.--K.] [189] The following table of two of the four indictions of thirteen years each will make the text more clear. The first column shows the actual year of the great cycle, or “bundle.” The second, the numerical dots used in their arithmetic. The third is composed of their hieroglyphics for rabbit, reed, flint, house, in their regular order. [Illustration]