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Please note that Mommsen uses the AUC chronology (Ab Urbe Condita), i.e. from the founding of the City of Rome. You can use this reference table to have the B.C. dates
From: The History of Rome, by Theodor Mommsen
Translated with the sanction of the author by William Purdie Dickson
Page 13
In like manner this calendar departed from the original division of the month into 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").
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Reference address : https://ellopos.net/elpenor/rome/1-14-measuring-writing.asp?pg=13