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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 ...
One can find the day of the week of a given calendar date by using a nearby doomsday as a reference point. To help with this, the following is a list of easy-to-remember dates for each month that always land on the doomsday. The last day of February is always a doomsday.
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
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.
Find the week number of Saturday 5th November 2016 (leap year): Find the ordinal day number first: moy = 11 dom = 5 leap = 1 add = 305, from table lookup doy = 305 + 5 = 310. Alternatively, use spreadsheet serial day numbers instead: off = 42369, i.e. 31st December 2015 day = 42679 doy = 42679 − 42369 = 310. Finally, find the week number:
After the week was adopted in early Christianity, Sunday remained the first day of the week, but also gradually displaced Saturday as the day of celebration and rest, being considered the Lord's Day. Saint Martin of Dumio (c. 520–580), archbishop of Braga , decided not to call days by pagan gods and to use ecclesiastic terminology to ...
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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 31 January 2025 is 2460707.