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Thus, within a 400-year cycle: 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%.
A calendar effect (or calendar anomaly) is the difference in behavior of a system that is related to the calendar such as the day of the week, time of the month, time of the year, time within the U.S. presidential cycle, or decade within the century.
Regarding the frequency of doomsdays in a Julian 28-year cycle, there are 1 leap year and 3 common years for every weekday, the latter 6, 17 and 23 years after the former (so with intervals of 6, 11, 6, and 5 years; not evenly distributed because after 12 years the day is skipped in the sequence of doomsdays).
For determination of the day of the week (January 1, 2000, Saturday) the day of the month: 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.
An eight-day week was used in Ancient Rome and possibly in the pre-Christian Celtic calendar. Traces of a nine-day week are found in Baltic languages and in Welsh. The ancient Chinese calendar had a ten-day week, as did the ancient Egyptian calendar (and, incidentally, the French Republican Calendar, dividing its 30-day months into thirds).
The first spread Andrews comes to for an NFL game is simple math, using the power ratings: If Team A is 90, Team B is 91 and at home with a 2.5-point home-field advantage, the line is Team B -3.5.
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Whether to insert an intercalary month in a given year may be determined using regular cycles such as the 19-year Metonic cycle (Hebrew calendar and in the determination of Easter) or using calculations of lunar phases (Hindu lunisolar and Chinese calendars). The Buddhist calendar adds both an intercalary day and month on a usually regular cycle.