A sequence of 12 lunations adds up to 354

Blue Moons are not as rare as the old saying “once in a blue moon” implies; they happen about once every 2.7 years, because the number of days in a lunation (new moon to new moon) is a bit less than the usual calendar month 29.53 days as opposed to 31 or 30 days (except for February, which has 28 days, so a blue moon cannot occur). A sequence of 12 lunations adds up to 354.36 days, against the 365.24 days in a year. The discrepancy adds up over time, until a year will have 13 lunations as opposed to 12.

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