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According to Thurston 1909, p. 109 dominical letters are:. a device adopted from the Romans by the old chronologers to aid them in finding the day of the week corresponding to any given date, and indirectly to facilitate the adjustment of the 'Proprium de Tempore' to the 'Proprium Sanctorum' when constructing the ecclesiastical calendar for any year.
Note: In this algorithm January and February are counted as months 13 and 14 of the previous year. E.g. if it is 2 February 2010 (02/02/2010 in DD/MM/YYYY), the algorithm counts the date as the second day of the fourteenth month of 2009 (02/14/2009 in DD/MM/YYYY format) For an ISO week date Day-of-Week d (1 = Monday to 7 = Sunday), use
The Rata Die method works by adding up the number of days d that has passed since a date of known day of the week D. The day of-the-week is then given by (D + d) mod 7, conforming to whatever convention was used to encode D. For example, the date of 13 August 2009 is 733632 days from 1 January AD 1. Taking the number mod 7 yields 4, hence a ...
For March, one can remember either Pi Day or "March 0", the latter referring to the day before March 1, i.e. the last day of February. For the months April through December, the even numbered months are covered by the double dates 4/4, 6/6, 8/8, 10/10, and 12/12, all of which fall on the doomsday.
The day of the week can be easily calculated given a date's Julian day number (JD, i.e. the integer value at noon UT): Adding one to the remainder after dividing the Julian day number by seven (JD modulo 7 + 1) yields that date's ISO 8601 day of the week. For example, the Julian day number of 14 January 2025 is 2460690.
Sundays on the dates March 22 through April 25 in the Gregorian calendar may be the 81st through 115th day of common years or 82nd through 116th day of leap years. They occur as the last day of ISO week number W12 through W17 and are also the 12th through 17th Sunday of the year, but these numbers mismatch in some years.
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