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  2. Determination of the day of the week - Wikipedia

    en.wikipedia.org/wiki/Determination_of_the_day...

    For determination of the day of the week (1 January 2000, Saturday) the day of the month: 1 ~ 31 (1) the month: (6) the year: (0) the century mod 4 for the Gregorian calendar and mod 7 for the Julian calendar (0). adding 1+6+0+0=7. Dividing by 7 leaves a remainder of 0, so the day of the week is Saturday. The formula is w = (d + m + y + c) mod 7.

  3. Zeller's congruence - Wikipedia

    en.wikipedia.org/wiki/Zeller's_congruence

    These formulas are based on the observation that the day of the week progresses in a predictable manner based upon each subpart of that date. Each term within the formula is used to calculate the offset needed to obtain the correct day of the week. For the Gregorian calendar, the various parts of this formula can therefore be understood as follows:

  4. Dominical letter - Wikipedia

    en.wikipedia.org/wiki/Dominical_letter

    Thurston 1909 continues: . Now, as a moment's reflection shows, if 1 January is a Sunday, all the days marked by A will also be Sundays; if 1 January is a Saturday, Sunday will fall on 2 January, which is a B, and all the other days marked B will be Sundays; if 1 January is a Monday, then Sunday will not come until 7 January, a G, and all the days marked G will be Sundays ...

  5. Week - Wikipedia

    en.wikipedia.org/wiki/Week

    1 Gregorian calendar year = 52 weeks + 1 day (2 days in a leap year) 1 week = 1600 ⁄ 6957 ≈ 22.9984% of an average Gregorian month In a Gregorian mean year, there are 365.2425 days, and thus exactly 52 + 71 ⁄ 400 or 52.1775 weeks (unlike the Julian year of 365.25 days or 52 + 5 ⁄ 28 ≈ 52.1786 weeks, which cannot be represented by a ...

  6. Gregorian calendar - Wikipedia

    en.wikipedia.org/wiki/Gregorian_calendar

    The Gregorian calendar is the calendar used in most parts of the world. [1] [a] It went into effect in October 1582 following the papal bull Inter gravissimas issued by Pope Gregory XIII, which introduced it as a modification of, and replacement for, the Julian calendar.

  7. Doomsday rule - Wikipedia

    en.wikipedia.org/wiki/Doomsday_rule

    Since in the Gregorian calendar there are 146,097 days, or exactly 20,871 seven-day weeks, in 400 years, the anchor day repeats every four centuries. For example, the anchor day of 1700–1799 is the same as the anchor day of 2100–2199, i.e. Sunday.

  8. Perpetual calendar - Wikipedia

    en.wikipedia.org/wiki/Perpetual_calendar

    Breguet classique Grand complication perpetual calendar. Offices and retail establishments often display devices containing a set of elements to form all possible numbers from 1 through 31, as well as the names/abbreviations for the months and the days of the week, to show the current date for convenience of people who might be signing and dating documents such as checks.

  9. ISO week date - Wikipedia

    en.wikipedia.org/wiki/ISO_week_date

    27 week years are 5 days longer than the month years (371 − 366), 6.75%. 44 week years are 6 days longer than the month years (371 − 365), 11%. 70 week years are 2 days shorter than the month years (364 − 366), 17.5%. 259 week years are 1 day shorter than the month years (364 − 365), 64.75%. The table shows the long years in a 400-year ...