The details made out at present on the calendar are as follows:—the summer and winter solstices, the spring and autumn equinoxes, the two passages of the Sun over the zenith of Mexico, and some dates which possibly belong to religious festivals. The dates of the two zenith-transits are especially interesting; for, as they vary with the latitude, they must have been made out by actual observation in Mexico itself, and not borrowed from some more civilised people in the distant countries through which the Mexicans migrated. This fact alone is sufficient to prove a considerable practical knowledge of astronomy.

Besides this, the Mexican cycle of fifty-two years seems to be indicated in the circle outside the signs of days, and also the days in the priestly year of 260 days; but to make these numbers, we must allow for the compartments supposed to be hidden by the projecting rays of the sun.

The arrangement of the Mexican cycle of fifty-two years is very curious. They had four signs of years, tochtli, acatl, tecpatl, and calli,—rabbit, canes, flint, and house; and against these signs they ranged numbers, from 1 to 13, so that a cycle exactly corresponds to a pack of cards, the four signs being the four suits, thirteen of each. Now, any one would suppose that in making such a reckoning, they would first take one suit, count one, two, three, &c. in it, up to 13, and then begin another suit. This is not the Mexican idea, however. Their reckoning is 1 tochtli, 2 acatl, 3 tecpatl, &c., just as it may be made with the cards thus: ace of hearts, two of diamonds, 3 of spades, 4 of clubs, 5 of hearts, 6 of diamonds, and so on through the pack. The correspondence between the cycle of 52 years, divided among 4 signs, and our year of 52 weeks, divided among 4 seasons, is also curious, though as entirely accidental as the resemblance to the pack of cards, for the Mexican week (if we may call it so) consisted of 5 days instead of 7, which to a great extent nullifies the comparison.

The reckoning of days is still more cumbrous. It consists of the days of the week written in succession from 1 to 13, underneath these the 20 signs of days, and underneath these again another series of 9 signs; so that each day was distinguished by a combination of a number and two signs, which combination could not belong to any other day.

The date of the year at the top of the calendar is 13 acatl (13 canes), which stands for 1479, 1427, 1375, 1323, and so on, subtracting 52 years each time. Now, why was this year chosen? It was not the beginning of a cycle, but the 26th year; and so, in ascertaining the meaning of the dates on the calendar, allowance has to be made for six days which have been gained by the leap-years only being adjusted at the end of the cycle; but this certainly offers no advantage whatever; and if an arbitrary date had been chosen to start the calendar with, of course it would have been the first year of a cycle. The year may have been chosen in commemoration of the foundation of Mexico or Tenochtitlán, which historians give as somewhere about 1324 or 1325. The sign 13 acatl would stand for 1323. It is more likely that the date merely refers to the year in which the calendar was put up. As such a massive and elaborate piece of sculpture could only belong to the most flourishing period of the Aztec empire, the year indicated would be 1279, nine years before the building of the great pyramid close by.

Baron Humboldt’s celebrated argument to prove the Asiatic origin of the Mexicans is principally founded upon the remarkable resemblance of this system of cycles in reckoning years to those found in use in different parts of Asia. For instance, we may take that described by Hue and Gabet as still existing in Tartary and Thibet, which consists of one set of signs, wood, fire, earth, &c., combined with a set of names of animals, mouse, ox, tiger, &c. The combination is made almost exactly in the same way as that in which the Aztecs combine their signs and numbers, as for instance, the year of the fire-pig, the iron-hare, &c. If these were simple systems of counting years, or even if, although difficult, they had some advantages to offer, we might suppose that two different races in want of a system to count their years by, had devised them independently. But, in fact, both the Asiatic and the Mexican cycles are not only most intricate and troublesome to work, but by the constant liability to confound one cycle with another, they lead to endless mistakes. Hue says that the Mongols, to get over this difficulty, affix a special name to all the years of each king’s reign, as for instance, “the year Tao-Kouang of the fire-ram;” apparently not seeing that to give the special name and the number of the year of the reign, and call it the 44th year of Tao-Kouang, would answer the same purpose, with one-tenth of the trouble.

Not only are the Mexican and Asiatic systems alike in the singular principle they go upon, but there are resemblances in the signs used that seem too close for chance.[[21]]

[21] It is curious that these latter resemblances (as far as I have been able to investigate the subject) disappear in the signs of the Yucatan calendar, though its arrangement is precisely that of the Mexican. Any one interested in the theory of the Toltecs being the builders of Palenque and Copan will see the importance of this point. If the Toltecs ever took the original calendar, with the traces of its Asiatic origin fresh upon it, down into Yucatan with them, it is at any rate not to be found there now.

The other arguments which tend to prove that the Mexicans either came from the Old World or had in some way been brought into connexion with tribes from thence, are principally founded on coincidences in customs and traditions. We must be careful to eliminate from them all such as we can imagine to have originated from the same outward causes at work in both hemispheres, and from the fact that man is fundamentally the same everywhere. To take an instance from Peru. We find the Incas there calling themselves “Child of the Sun,” and marrying their own sisters, just as the Egyptian kings did. But this proves nothing whatever as to connexion between the two people. The worship of the Sun, the giver of light and heat, may easily spring up among different people without any external teaching; and what more natural, among imperfectly civilized tribes, than that the monarch should claim relationship with the divinity? And the second custom was introduced that the royal race might be kept unmixed.

Thus, when we find the Aztecs burning incense before their gods, kings, and great men, and propitiating their deities with human sacrifices, we can conclude nothing from this. But we find them baptizing their children, anointing their kings, and sprinkling them with holy water, punishing the crime of adultery by stoning the criminals to death, and practising several other Old World usages of which I have already spoken. We must give some weight to these coincidences.