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For it was not only in very ancient times that the Romans had the periods of the moon in confusion with respect to the year, so that the feasts and festivals gradually changing at last fell out in opposite seasons of the year, but even with respect to the solar year at that time nobody kept any reckoning except the priests, who, as they alone knew the proper time, all of a sudden and when nobody expected it, would insert the intercalary month named Mercedonius, which King Numa is said to have been the first to intercalate, thereby devising a remedy, which was slight and would extend to no great period, for the irregularity in the recurrence of the times, as I have explained in the Life of Numa.
At the same time, so that three months of thirty-one days might not come together, September and November were reduced to thirty days, and thirty-one given to October and December. For this purpose he ordered two extraordinary months, as well as Numa's intercalary month Mercedonius, to be inserted in the year 47 B.C., giving that year in all 445 days. It was called "the last year of confusion."
To make the solar year and the civil or calendar year coincide as nearly as might be, Numa ordered that a special or "intercalary" month should be inserted every second year between February 23rd and 24th. It was called "Mercedonius," and consisted of twenty-two and of twenty-three days alternately, so that four years contained 1465 days, giving a mean of 366-1/4 days to each year.
For it was not only in ancient times that the Romans had wanted a certain rule to make the revolutions of their months fall in with the course of the year, so that their festivals and solemn days for sacrifice were removed by little and little, till at last they came to be kept at seasons quite the contrary to what was at first intended, but even at this time the people had no way of computing the solar year; only the priests could say the time, and they, at their pleasure, without giving any notice, slipped in the intercalary month, which they called Mercedonius.
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