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Since the period of 12 such lunations, a lunar year, is 354 days, 8 hours, 48 minutes, 34 seconds (354.36707 days), [1] purely lunar calendars are 11 to 12 days shorter than the solar year. In purely lunar calendars, which do not make use of intercalation, the lunar months cycle through all the seasons of a solar year over the course of a 33 ...
In lunar calendars, a lunar month is the time between two successive syzygies of the same type: ... Thus, about 13.37 sidereal months, but about 12.37 synodic months, ...
Because 0.36826 is between 1 ⁄ 3 and 1 ⁄ 2, a typical year of 12 months needs to be supplemented with one intercalary or leap month every 2 to 3 years. More precisely, 0.36826 is quite close to 7 ⁄ 19 (about 0.3684211): several lunisolar calendars have 7 leap months in every cycle of 19 years (called a 'Metonic cycle').
Using these whole numbers facilitates the construction of a lunisolar calendar. A tropical year (about 365.24 days) is longer than 12 lunar months (about 354.36 days) and shorter than 13 of them (about 383.90 days). In a Metonic calendar (a type of lunisolar calendar), there are twelve years of 12 lunar months and seven years of 13 lunar months.
The Lunar Hijri calendar used by most of Islam, is a purely lunar calendar comprising 12 lunar months: its year is shorter by about ten or eleven days than the Gregorian calendar year. Consequently Islamic New Year 's Day may fall in any season: occasionally there can be two Islamic new years in one Gregorian year (as last happened in 2008).
Islamic calendar stamp issued at King Khalid International Airport on 10 Rajab 1428 AH (24 July 2007 CE). The Hijri calendar (Arabic: ٱلتَّقْوِيم ٱلْهِجْرِيّ, romanized: al-taqwīm al-hijrī), or Arabic calendar, also known in English as the Muslim calendar and Islamic calendar, is a lunar calendar consisting of 12 lunar months in a year of 354 or 355 days.
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