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How the French Revolutionary calendar works
The French Revolutionary calendar consists of 13 months of 30 days and one month of 5 days in regular years and 6 days in leap years. The year begins on about the day of the autumnal equinox. Leap years are calculated as in the Gregorian calendars with years divisible by four and 400 being leap years while those divisible only by 100 are not.
The calendar was established in autumn of 1793 by the National Convention in order to make time keeping more rational and divorced from religious associations. Ten years after it's installation, Napoleon restored the Gregorian calendar to France as an act of reconciliation with the catholic church.
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