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Perpetual calendar designers hide the complexity in tables to simplify their use. A perpetual calendar employs a table for finding which of fourteen yearly calendars to use. A table for the Gregorian calendar expresses its 400-year grand cycle: 303 common years and 97 leap years total to 146,097 days, or exactly 20,871 weeks.
In order to correct for calendar drift, 10 days were skipped, so doomsday moved back 10 days (i.e. 3 days): Thursday, October 4 (Julian, doomsday is Wednesday) was followed by Friday, October 15 (Gregorian, doomsday is Sunday). The table includes Julian calendar years, but the algorithm is for the Gregorian and proleptic Gregorian calendar only.
English: Table showing the 400-year cycle of the 14 possible calendars in the Gregorian calendar, arranged in columns to show a semi-regular 28-year pattern by CMG Lee based on idea by Timwi. The days of week denote the day of week that January 1st of the numbered year falls on. "+" and white text indicate leap years.
This is a list of calendars.Included are historical calendars as well as proposed ones. Historical calendars are often grouped into larger categories by cultural sphere or historical period; thus O'Neil (1976) distinguishes the groupings Egyptian calendars (Ancient Egypt), Babylonian calendars (Ancient Mesopotamia), Indian calendars (Hindu and Buddhist traditions of the Indian subcontinent ...
Those look-up tables, like the table in section “Perpetual Julian and Gregorian calendar table” of “Perpetual calendar” wiki item or in the first subsection of “Tabular methods to calculate the day of the week” section of “Determination of the day of the week” wiki item, are a condensation in a single table of the concept tables ...
The table of month offsets show a divergence in February due to the leap year. A common technique (later used by Zeller) is to shift the month to start with March, so that the leap day is at the tail of the counting. In addition, as later shown by Zeller, the table can be replaced with an arithmetic expression.
Within these tables, January 1 is always the first day of the year. The Gregorian calendar did not exist before October 15, 1582. Gregorian dates before that are proleptic, that is, using the Gregorian rules to reckon backward from October 15, 1582. Years are given in astronomical year numbering.
With perennial calendars, the same representation of the year serves for every year. Perpetual calendars, in this context, are computation devices for determining the weekdays of dates in any given year, or for representing a wide range of annual calendars. An annual calendar in the dynamic context of watchmaking is a feature of a mechanical watch.
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