I have as yet found no account of the lesser divisions of time in Peru, but note that the period of thirty days consisted of six periods of five days each, a subdivision which would obviously accord with native habits of thought if associated with the six terrestrial directions in space and if a reunion of people and collection of produce from four quarters took place on every fifth day in the capital. In my special work on the Calendar systems of ancient America I shall be able to discuss more fully their intimate indissoluble relation to the regulation of labor and control of the food supply absolutely requisite for the great capital.

The idea of rotation was carried out in a ceremony described by Molina. When the December moon was full, after having ploughed their fields during twelve days, “all persons returned to Cuzco ... the people went to a house called moro-uco, near the houses of the Sun and took out a very long cable which was kept there, woven in four colors, black, white, red and yellow, at the end of which was a stout ball of red wool. Everyone took hold of it, the men on one side, the women on the other, performing the sacred dance called yaquayra. When they came to the square ... they went round and round until they were in the shape of a spiral shell. Then they dropped the cable on the ground and left it coiled up like a snake. The people returned to their places and those who had charge of the cable took it back to its house.” An extremely important instance of the application of the spiral is preserved in an illustration in the Account of the Antiquities of [pg 146] Peru by the native chronicler Salcamayhua (ed. Hakluyt, p. 109). He relates that the Inca Huayna-Capac, when he reached the town of Tumipampa, “ordered water to be brought from a river by boring through a mountain, and making the channel enter the city by curves in this way:”

Figure 46.

The illustration, reproduced here (fig. [46]), exhibits an extremely ingenious mode of irrigation which divided the country surrounding the town into nine zones of land lying between currents of water. These are cut through by an exit canal which, at the same time, presumably supplied a direct water-way for traffic to and from the town. The association of the spiral form with irrigation would not, perhaps, seem as important and significant did we not know that the ancient Peruvians, as proven by Wiener, habitually laid out the irrigation canals in their maize-fields so as to form regular designs, some of which resembled those illustrated on fig. [40], nos. 2, 4, 6, 7, which have been shown to signify the union of the Above and Below, or Heaven and Earth. In the Peruvian irrigation canals the water supplied the light lines and the earth the dark, and when the small canals were full and were observed in certain lights, they must have resembled light blue or white patterns running through the dark earth. That their inventors and makers actually associated them with profound meaning and laid them from superstitious as well as practical motives is obvious; for, in Peru, as in Mexico, we find the periodical union of the Heaven and Earth, of rain and earth celebrated with ceremonial drinking of chicha, specially brewed for this period which seems to have been the regularly appointed time for juvenile match-making, by order of the Inca.

“When the Inca gave women as wives they were received because it was the command of the Inca ... because of this it was considered that she was taken until death and she was received on this understanding and never deserted” (Molina). “When the Inca Rocca married his sister, six thousand people were married on the next day” (Montesinos). In the festival called Ccapac Raymi, maidens who had attained womanhood offered bowls of [pg 147] fermented chicha to the youths who had just been admitted to the ranks of the warriors.

“During this festival the Priests of the Sun and of the Creator brought a quantity of fuel, tied together in handfuls, and dressed as a man and a woman ... they were offered to the Creator, the Sun and the Inca and were burnt in their clothes together with a sheep” (Molina).

Towards the end of the same month (November), feasts were celebrated for the flocks of the huacas, that they might multiply; for which sacrifices were made throughout the kingdom. Ultimately “public solemn sacrifices were made to the Creator, the Sun, the Thunder and the Moon for all nations, that they might prosper and multiply” (Molina). A few weeks later, an exemption from ceremonial bondage, for three months, commenced. Throughout January, February and March no religious festival took place at Cuzco—the farmers attended to their land and the people were left at liberty to pursue their various avocations uninterruptedly (Molina ed. Hakluyt, pp. 51 and 52). I have already shown that the same exemption from ceremonial bondage during ninety to one hundred days of the year was customary in Mexico; and, in my note on the Ancient Mexican Calendar System, communicated to the Congress of Americanists at Stockholm in 1894 (p. 16), I explained the reasons which had led me to infer that “the religious festivals were concentrated in the ritual years of 260 days,” which indeed forms a unit, consisting of a complete set of combinations of the numbers 13 and 20.

In Dr. Franz Boas' admirable monograph on the Social Organization and secret societies of the Kwakiutl Indians (Washington, 1897, p. 418), it is shown that at the present day the clan system is only in force during one division of the year. “At the beginning of the winter ceremonial the social system is completely changed. The period when the class system is in force is called bā-xus. The period of the winter ceremonial is designated as ‘the secrets,’ ‘making the heart good,’ also ‘brought down from Above.’ The Indians express this alternating of seasons by saying that in summer the bā-xus is on top, the secrets below, and vice versa in winter. During this time the place of the clans is taken by a number of secret societies: the spirits who had appeared to mythical ancestors give new names to the men to whom they appear, but these names are only in use during the time when [pg 148] the spirits dwell amongst the Indians, i. e., in the winter.” Therefore from the moment when the spirits are supposed to be present, all the summer names are dropped and the members of the nobility take their winter names. The winter ceremonial societies are arranged in two principal groups; these are subdivided into 2×10=20 groups according to age and sex.