these combinations would be only 260, and as some confusion might arise from the repetition of the same terms for the remaining 105 days of the year, they invented a third series, consisting of nine additional hieroglyphics, which, alternating with the two preceding series, rendered it impossible that the three should coincide twice in the same year, or indeed in less than 2340 days; since 20 × 13 × 9 = 2340.47 Thirteen was a mystic number, of frequent use in their tables.48 Why they resorted to that of nine, on this occasion, is not so clear.49
This second calendar rouses a holy indignation in the early Spanish missionaries, and Father Sahagun loudly condemns it, as “most unhallowed, since it is founded neither on natural reason, nor on the influence of the planets, nor on the true course of the year; but is plainly the work of necromancy, and the fruit of a compact with the Devil!”50 One may doubt whether the superstition of those who invented the scheme was greater than that of those who thus impugned it. At all events, we may, without having recourse to supernatural agency, find in the human heart a sufficient explanation of its origin; in that love of power, that has led the priesthood of many a faith to affect a mystery the key to which was in their own keeping.