The fact that the names and signs of the days are identical with the totemic tribal distinctions imposed for governmental reasons, is one which I shall proceed to demonstrate more fully. Meanwhile attention is now drawn to the chapter on the 7-day period in Dr. Daniel G. Brinton's "Native Calendar of Central America and Mexico," in which he surmises that the tribal divisions of the Cakchiquels "were drawn from the numbers of the Calendar."
According to the native records the institution of the Calendar was simultaneous with that of tribal organization and a minute study of both features reveals that it could not have been otherwise.
From the dawn of their history the Cakchiquels, as I have already shown, were divided into thirteen divisions of warriors (Khob, constituting the upper class) and seven tribes (Amag, constituting the lower class). A totem and a day being assigned to each division and tribe, they were, once and for all time, placed in a definite position towards each other and towards the state, and the order in which their chieftains were to sit in general council, and to assume or perform certain duties, was thus instituted. The 20-day period thus constituted a "complete count" and synopsis of the "thirteen divisions of warriors and seven tribes," but it also fulfilled other not less important purposes.
The day-signs were so ordered that the first, eleventh and sixteenth were major signs employed to designate the years, and identified with the four quarters, elements and their respective colors. The 20-day period, consisting as it also did of 4 major signs and of 4×4=16 minor signs, was as closely linked to the idea of the Four Quarters as it was to the Above and Below, represented by the 13+7 division. It is therefore evident that a simultaneous reckoning of periods consisting of 5, 7, 13, and 20 days was ingeniously combined. I shall show in my special treatise how "the lords of the Night" employed in their astronomical calendar, 9-night and 9-moon periods for purposes of their own and how these also served to carry out certain ideas of organization, controlling persons. Although it embodied the results of long-standing primitive astronomical observation and accorded with the seasons and movements of the celestial bodies, the native Calendar was primarily a governmental institution, designed to control the actions of human beings and bring their communal life in accord with the periodical movements of the heavenly bodies.