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Notes
Parallel Lives by Plutarchus

Numa, chapter 18: Calendar reforms by Numa[Ca 700 BC]
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He attempted, also, the formation of a calendar, not with absolute exactness, yet not without some scientific knowledge. During the reign of Romulus, they had let their months run on without any certain or equal term; some of them contained twenty days, others thirty-five, others more; they had no sort of knowledge of the inequality in the motions of the sun and moon; they only kept to the one rule that the whole course of the year contained three hundred and sixty days. Numa, calculating the difference between the lunar and the solar' year at eleven days, for that the moon completed her anniversary course in three hundred and fifty-four days, and the sun in three hundred and sixty-five, to remedy this incongruity doubled the eleven days, and every other year added an intercalary month, to follow February, consisting of twenty-two days, and called by the Romans the month Mercedinus. This amendment, however, itself, in course of time, came to need other amendments. He also altered the order of the months; for March, which was reckoned the first, he put into the third place; and January, which was the eleventh, he made the first; and February, which was the twelfth and last, the second. Many will have it, that it was Numa, also, who added the two months of January and February; for in the beginning they had had a year of ten months; as there are barbarians who count only three; the Arcadians, in Greece, had but four; the Acarnanians, six. The Egyptian year at first, they say, was of one month; afterwards, of four; and so, though they live in the newest of all countries, they have the credit of being a more ancient nation than any; and reckon, in their genealogies, a prodigious number of years, counting months, that is, as years.

Event: Calendar reforms by Numa