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nto four weeks, sometimes of 7, sometimes of 8 days; it made the eight-day-week run on through the years without regard to the other relations of the calendar, as our Sundays do, and placed the weekly market on the day with which it began (-noundinae-). Along with this it once for all fixed the first quarter in the months of 31 days on the seventh, in those of 29 on the fifth day, and the full moon in the former on the fifteenth, in the latter on the thirteenth day. As the course of the months was thus permanently arranged, it was henceforth necessary to proclaim only the number of days lying between the new moon and the first quarter; thence the day of the newmoon received the name of "proclamation-day" (-kalendae-). The first day of the second section of the month, uniformly of 8 days, was--in conformity with the Roman custom of reckoning, which included the -terminus ad quem- --designated as "nine-day" (-nonae-). The day of the full moon retained the old name of -idus- (perhaps "dividing-day"). The motive lying at the bottom of this strange remodelling of the calendar seems chiefly to have been a belief in the salutary virtue of odd numbers;(9) and while in general it is based on the oldest form of the Greek year, its variations from that form distinctly exhibit the influence of the doctrines of Pythagoras, which were then paramount in Lower Italy, and which especially turned upon a mystic view of numbers. But the consequence was that this Roman calendar, clearly as it bears traces of the desire that it should harmonize with the course both of sun and moon, in reality by no means so corresponded with the lunar course as did at least on the whole its Greek model, while, like the oldest Greek cycle, it could only follow the solar seasons by means of frequent arbitrary excisions, and did in all probability follow them but very imperfectly, for it is scarcely likely that the calendar would be handled with greater skill than was manifested in its original arrangement. The retention moreover of the reckoning by months or--which is the same thing--by years of ten months implies a tacit, but not to be misunderstood, confession of the irregularity and untrustworthiness of the oldest Roman solar year. This Roman calendar may be regarded, at least in its essential features, as that generally current among the Latins. When we consider how generally the beginning of the year and the names of the months are liable to change
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