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ucted on the assumption of a lunar period of 29 1/2 days and a solar period of 12 1/2 lunar months or 368 3/4 days, and on the regular alternation of a full month or month of thirty days with a hollow month or month of twenty-nine days and of a year of twelve with a year of thirteen months, but at the same time maintained in some sort of harmony with the actual celestial phenomena by arbitrary curtailments and intercalations. It is possible that this Greek arrangement of the year in the first instance came into use among the Latins without undergoing any alteration; but the oldest form of the Roman year which can be historically recognized varied from its model, not indeed in the cyclical result nor yet in the alternation of years of twelve with years of thirteen months, but materially in the designation and in the measuring off of the individual months. The Roman year began with the beginning of spring; the first month in it and the only one which bears the name of a god, was named from Mars (-Martius-), the three following from sprouting (-aprilis-) growing (-maius-), and thriving (-iunius-), the fifth onward to the tenth from their ordinal numbers (-quinctilis-, -sextilis-, -september-, -october-, -november-, -december), the eleventh from commencing (-ianuarius-),(8) with reference presumably to the renewal of agricultural operations that followed midwinter and the season of rest, the twelfth, and in an ordinary year the last, from cleansing (-februarius-). To this series recurring in regular succession there was added in the intercalary year a nameless "labour-month" (-mercedonius-) at the close of the year, viz. after February. And, as the Roman calendar was independent as respected the names of the months which were probably taken from the old national ones, it was also independent as regarded their duration. Instead of the four years of the Greek cycle, each composed of six months of 30 and six of 29 days and an intercalary month inserted every second year alternately of 29 and 30 days (354 + 384 + 354 + 383 = 1475 days), the Roman calendar substituted four years, each containing four months--the first, third, fifth, and eighth--of 31 days and seven of 29 days, with a February of 28 days during three years and of 29 in the fourth, and an intercalary month of 27 days inserted every second year (355 + 383 + 355 + 382 = 1475 days). In like manner this calendar departed from the original division of the month i
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