# -: Y :-

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year *
The passage of the sun through the seasons. There are several years, such as is given in the following table.
365.24218967 365.24675686 tropical repeats of seasons, eg midwinter lunisolar 235/19 lunar months of 29.5305888531 days. siderial repeats of earth - sun - star lines anomistic repeats of perihelions
The calendars seek to make these equal in days, so that extra days or months are added to keep the sun and moon in line with the day. Here are some calendar-lengths representing assorted years.
In these, a correction of 1/4 overstates the issue. One then proceeds to drop x leap years in y years, to get x/y.
In the following, the Gregorian calendar, and the Metonic cycle of 12 7/19 mo. is taken to be the base, for which one has to drop different days from years of the sun and the Metonic cycles.
365.2416666 365.2421875 Twelfty 365 + 1/4 - 1/120 Binary 365 + 1/4 - 1/128 the tropical year. Russian 365 + 1/4 - 7/900 c1 365 + 8/33 Gregorian The calendar since 1752 = 365 + 1/4 - 3/400 Binary 365 + 1/4 - 1/256 = Epact every 256 years. twelfty G Twelfty, with 3 Golden Jump in 960 years. c1e 365 + 8/33 + 1/231 = 1 epact shift every 231 years. 12 7/19 months of 29.5305888531 days c1g 365 8/33 + A/363, A=30/19 ; Golden jump every 363 yrs. Gregorian E 8 Epact shifts in 25 centuries. Twelfty E 3 epact shifts in 960 years. Julian The calendar to 1752 = 365 + 1/4

C1 adds 8 leap years every 33 years.
calendars in e are epact shifts, in g are golden jumps.