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Persian (iranian) Calendar What does a Persian year look like? The names and lengths of the 12 months that comprise the Persian year are:
(Due to different transliterations of the Persian alphabet, other spellings of the months are possible.) In Afghanistan the months are named differently. The month of Esfand has 29 days in an ordinary year, 30 days in a leap year. When does the Persian year begin? The Persian year starts at vernal equinox. If the astronomical vernal equinox falls before noon (Tehran true time) on a particular day, then that day is the first day of the year. If the astronomical vernal equinox falls after noon, the following day is the first day of the year. How does one count years? As in the Islamic calendar, years are counted since Mohammed’s emigration to Medina in AD 622. At vernal equinox of that year, AP 1 started (AP = Anno Persico/Anno Persarum = Persian year). Note that contrary to the Islamic calendar, the Persian calendar counts solar years. In the year AD 2011 we have therefore witnessed the start of Persian year 1390, but the start of Islamic year 1432. What years are leap years? Since the Persian year is defined by the astronomical vernal equinox, the answer is simply: Leap years are years in which there are 366 days between two Persian new year’s days. However, basing the Persian calendar purely on an astronomical observation of the vernal equinox is rejected by many, and a few mathematical rules for determining the length of the year have been suggested. The most popular (and complex) of these is probably the following: The calendar is divided into periods of 2820 years. These periods are then divided into 88 cycles whose lengths follow this pattern: 29, 33, 33, 33, 29, 33, 33, 33, 29, 33, 33, 33, ... This gives 2816 years. The total of 2820 years is achieved by extending the last cycle by 4 years (for a total of 37 years).If you number the years within each cycle starting with 0, then leap years are the years that are divisible by 4, except that the year 0 is not a leap year. So within, say, a 29 year cycle, this is the leap year pattern:
This gives a total of 683 leap years every 2820 years, which corresponds to an average year length of 365 683/2820 = 365.24220 days. This is a better approximation to the tropical year than the 365.2425 days of the Gregorian calendar. The current 2820 year period started in the year AP 475 (AD 1096). This “mathematical” calendar currently coincides closely with the purely astronomical calendar. In the years between AP 1244 and 1531 (AD 1865 and 2152) a discrepancy of one day is seen twice, namely in AP 1404 and 1437 (starting at vernal equinox of AD 2025 and 2058). However, outside this period, discrepancies are more frequent. Days of the week In the p calendar, every week begins on Saturday and ends on Friday. The names of the days of the week are as follows: shambe (natively spelled "shanbeh"), yekshambe, doshambe, seshambe, chæharshambe, panjshambe and jom'e (yek, do, se, chæhar, and panj are the Persian words for the numbers one through five). The name for Friday, jom'e, is Arabic (Persian). Jom'e is sometimes referred to by the native Persian name, adineh. In most Islamic countries, Friday is the weekly holiday. Calculating the day of the week is easy, using an anchor date. One good such date is Sunday, 1 Farvardin 1372, which equals 21 March 1993. Assuming the 33year cycle approximation, move back by one weekday to jump ahead by one 33year cycle. Similarly, to jump back by one 33year cycle, move ahead by one weekday. As in the Gregorian calendar, dates move forward exactly one day of the week with each passing year, except if there is an intervening leap day when they move two days. The anchor date 1 Farvardin 1372 is chosen so that its 4th, 8th, ..., 32nd anniversaries come immediately after leap days, yet the anchor date itself does not immediately follow a leap day. 
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