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The Solar Hijri calendar [lower-alpha 1] is the official calendar of Iran. It is a solar calendar and is the one Iranian calendar that is the most similar to the Gregorian calendar, being based on the Earth's orbit around the Sun. It begins on the March equinox as determined by the astronomical calculation for the Iran Standard Time meridian (52.5°E, UTC+03:30) and has years of 365 or 366 days. It is sometimes also called the Shamsi calendar and Khorshidi calendar. It is abbreviated as SH, HS or, sometimes as AHSh, while the lunar Hijri calendar (commonly known in the West as the 'Islamic calendar', although both calendars are Islamic) is usually abbreviated as AH. The solar Hijri calendar predominates in Shia Islam whereas the lunar Hijri calendar predominates in Sunni Islam.
The first day of the Solar Hijri calendar was the day of the spring equinox, March 18, 622 CE. The calendar is named the "Hijri calendar" because that was the year that Mohammed is believed to have left from Mecca to Medina, which event is referred to as the Hijrah. This year is generally considered by Muslims as the first year of Islam.
The ancient Iranian Solar calendar is one of the oldest calendars in the world, as well as the most accurate solar calendar in use today. Since the calendar uses astronomical calculation for determining the vernal equinox, it has no intrinsic error. [2] [3] [4] [5] It is older than the lunar Hijri calendar used by the majority of Muslims (known in the West as the Islamic calendar); though they both count from the Hijrah. [6] [7] The solar Hijri calendar uses solar years and is calculated based on the "year of the Hijrah," and the lunar Hijri calendar is based on lunar months, and dates from the presumed actual "day of the Hijrah".
Each of the twelve months of the Hijri calendar corresponds with a zodiac sign, and in Afghanistan the names of the zodiacal signs were used for the months; [lower-alpha 2] elsewhere the month names are the same as in the Zoroastrian calendar. The first six months have 31 days, the next five have 30 days, and the last month has 29 days in common years but 30 days in leap years.
The ancient Iranian New Year's Day, which is called Nowruz, always falls on the March equinox. Nowruz is celebrated by communities in a wide range of countries from the Balkans to Mongolia. Currently the Solar Hijri calendar is officially used only in Iran.
The calendar's epoch (first year) corresponds to the Hijrah in 622 CE, which is the same as the epoch of the Lunar Hijri calendar but as it is a solar calendar, the two calendars' year numbers do not coincide with each other and are slowly drifting apart, being about 43 years apart as of 2023.
The first six months (Farvardin–Shahrivar) have 31 days, the next five (Mehr–Bahman) have 30 days, and the last month (Esfand) has 29 days in common years or 30 days in leap years. This is a simplification of the Jalali calendar, in which the commencement of the month is tied to the sun's passage from one zodiacal sign to the next. The sun is travelling fastest through the signs in early January (Dey) and slowest in early July (Tir). The current time between the March and September equinoxes is about 186 days and 10 hours, the opposite duration about 178 days, 20 hours, due to the eccentricity of Earth's orbit. (These times will change slowly due to precession of the Earth's apsides, becoming inverted after around 11 500 years.)
The Iranian Solar calendar produces a five-year leap year interval after about every seven four-year leap year intervals.[ citation needed ] It usually follows a 33-year subcycle with occasional interruptions by a single 29-year subcycle. The reason for this behaviour is (as explained above) that it tracks the observed vernal equinox.
Some predictive algorithms had been suggested, but were inaccurate due to confusion between the average tropical year (365.2422 days) and the mean interval between spring equinoxes (365.2424 days). These algorithms are not generally used (see Accuracy).
The Ancient Iranian Solar calendar year begins at the start of spring in the Northern Hemisphere: on the midnight in the interval between the two consecutive solar noons that includes the instant of the March equinox.[ citation needed ] Hence, the first mid-day is on the last day of one calendar year, and the second mid-day is on the first day (Nowruz) of the next year.
Order | Days | Persian (Iran) | Dari (Afghanistan) | Tajik | Kurdish (Iran) | Pashto | Azerbaijani | Gregorian range | Zodiac sign | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Native Script | Romanized | Native Script | Romanized | Native Script | Romanized | Sorani Script | Kurmanji Script | Native Script | Romanized | Arabic Script | Latin Script | ||||
01 | 31 | فروردین | Farvardin | حمل | Hamal | Фарвардин / Ҳамал | Farvardin / Hamal | خاکەلێوە | Xakelêwe | وری | Wray | آغلار-گۆلر | Ağlar-gülər | March – April | ♈️Aries |
02 | 31 | اردیبهشت | Ordibehesht | ثور | Sawr | Урдибиҳишт / Савр | Urdibihisht / Savr | گوڵان | Gullan (Banemer) | غويی | Ǧwayáy | گۆلن | Gülən | April – May | ♉️ Taurus |
03 | 31 | خرداد | Khordad | جوزا | Jawzā | Хурдод / Ҷавзо | Khurdod / Javzo | جۆزەردان | Cozerdan | غبرګولی | Ǧbargoláy | قؽزاران | Qızaran | May – June | ♊️ Gemini |
04 | 31 | تیر | Tir | سرطان | Saraṭān | Тир / Саратон | Tir / Saraton | پووشپەڕ | Pûşper | چنګاښ | Čungā́x̌ | قوْرا بیشیرن | Qora bişirən | June – July | ♋️ Cancer |
05 | 31 | مرداد / امرداد | Mordad / Amordad | اسد | Asad | Мурдод / Асад | Murdod / Asad | گەلاوێژ | Gelawêj | زمری | Zmaráy | قۇیرۇق دوْغان | Quyruq doğan | July – August | ♌️ Leo |
06 | 31 | شهریور | Shahrivar | سنبله | Sonbola | Шаҳривар / Сунбула | Shahrivar / Sunbula | خەرمانان | Xermanan | وږی | Wáǵay | زۇمار | Zumar | August – September | ♍️ Virgo |
07 | 30 | مهر | Mehr | میزان | Mizān | Меҳр / Мизон | Mehr / Mizon | ڕەزبەر | Rezber | تله | Tә́la | خزل | Xəzəl | September – October | ♎️ Libra |
08 | 30 | آبان | Aban | عقرب | ʿAqrab | Обон / Ақраб | Obon / Aqrab | گەڵاڕێزان | Xezellwer (Gelarêzan) | لړم | Laṛám | قؽروْو | Qırov | October – November | ♏️ Scorpio |
09 | 30 | آذر | Azar | قوس | Qaws | Озар / Қавс | Ozar / Qavs | سەرماوەز | Sermawez | ليندۍ | Lindә́i | آذر | Azər | November – December | ♐️ Sagittarius |
10 | 30 | دی | Dey | جدی | Jadi | Дай / Ҷадӣ | Day / Jadī | بەفرانبار | Befranbar | مرغومی | Marǧúmay | چیلله | Çillə | December – January | ♑️ Capricorn |
11 | 30 | بهمن | Bahman | دلو | Dalvæ | Баҳман / Далв | Bahman / Dalv | ڕێبەندان | Rêbendan | سلواغه | Salwāǧá | دوْندۇران | Donduran | January – February | ♒️ Aquarius |
12 | 29/30 | اسفند / اسپند | Esfand / Espand | حوت | Hūt | Исфанд / Ҳут | Isfand / Hut | ڕەشەمە | Reşeme | كب | Kab | بایرام | Bayram | February – March | ♓️ Pisces |
The first day of the calendar year, Nowruz ("New Day"), is the greatest festival of the year in Iran, Afghanistan, and some surrounding historically Persian-influenced regions. The celebration is filled with many festivities and runs a course of 13 days, the last day of which is called siz-dah bedar ("13 to outdoor").
The Dari (Afghan Persian) month names are the signs of Zodiac. They were used in Iran in the early 20th century when the solar calendar was being used.
In the Iranian calendar, every week begins on Saturday and ends on Friday. The names of the days of the week are as follows: shanbeh, yekshanbeh, doshanbeh, seshanbeh, chahārshanbeh, panjshanbeh and jom'eh. Yek, do, se, chahār, and panj are the Persian words for the numbers one to five. The name for Friday, jom'eh, comes from Arabic (جمعة.) Jom'eh is sometimes referred to by the native Persian name, ādineh[ɒːdiːne] (آدینه). In some Islamic countries, like Iran and Afghanistan, 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 33-year cycle approximation, move back by one weekday to jump ahead by one 33-year cycle. Similarly, to jump back by one 33-year 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.
As of 2024 CE, the only official user of the calendar is Iran.
On 21 February 1911, the second Iranian parliament adopted as the official calendar of Iran the Jalali sidereal calendar with months bearing the names of the twelve constellations of the zodiac and the years named for the animals of the duodecennial cycle; it remained in use until 1925. [1] The present Iranian calendar was legally adopted on 31 March 1925, under the early Pahlavi dynasty. The law said that the first day of the year should be the first day of spring in "the true solar year", "as it has been" ever so. It also fixed the number of days in each month, which previously varied by year with the sidereal zodiac. It revived the ancient Persian names, which are still used. It also set the epoch to the Hijrah. It also deprecated the 12-year cycles of the Chinese-Uighur calendar, which were not officially sanctioned but were commonly used.
In 1975, Iranian scholars discovered that this solar calendar was in use as early as the Achaemenid Era. [1] Therefore, the Pahlavi Government, under the orders of Shah Mohammad Reza Pahlavi, changed the epoch of the calendar to be the first year of the reign of Cyrus the Great, rather than the Hijrah of Muhammad, a change that birthed the Shahanshahi calendar [lower-alpha 3] . Overnight, the year number changed from 1354 to 2534. The change lasted until the Iranian revolution in 1979, at which time the new Iranian government reverted the epoch to the Hijrah. [9]
Afghanistan legally adopted the official Jalali calendar in 1922 [1] but with different month names. Afghanistan uses Arabic names of the zodiacal signs; for example, the Saur Revolution in 1978 took place in the second month of the Solar Hijri calendar (Persian Ordibehesht; Saur is named after Taurus). The Solar Hijri calendar has been until recently the official calendar of the government of Afghanistan, [10] and all national holidays and administrative issues were fixed according to the Solar Hijri calendar.
However, the Taliban imposed the lunar Hijri calendar in Afghanistan during both periods of their rule. Under the Taliban's first rule from 1996 to 2001, the lunar Hijri calendar was imposed, thus changing the year overnight from 1375 to 1417. [11] With effect from 1 Muharram 1444 AH (8 Mordad 1401 SH; 30 July 2022 CE) (the Islamic New Year of the lunar Hijri calendar), the Taliban once again imposed the lunar calendar. Thus the year number once again leaped forward, this time from 1401 to 1444. [12]
Tajikistan does not use the Solar Hijri calendar and has never done so, despite being part of the Persian-speaking world. The country does, however, celebrate Nowruz, although the official New Year's Day in Tajikistan is 1 January in the Gregorian calendar, [13] which is also the case in other non-Persian speaking Iranian or Turkic communities ranging from Eastern Europe to Western China. The name of Tajikistan's capital, Dushanbe, is taken from the Solar Hijri calendar and translates to "Monday" in Persian. [14]
The Solar Hijri year begins about 21 March of each Gregorian year and ends about 20 March of the next year. To convert the Solar Hijri year into the equivalent Gregorian year add 621 or 622 years to the Solar Hijri year depending on whether the Solar Hijri year has or has not begun.
33-year cycle [16] | Solar Hijri year | Gregorian year | Solar Hijri year | Gregorian year |
---|---|---|---|---|
1 | 1354* | 21 March 1975 – 20 March 1976 | 1387* | 20 March 2008 – 20 March 2009 |
2 | 1355 | 21 March 1976 – 20 March 1977 | 1388 | 21 March 2009 – 20 March 2010 |
3 | 1356 | 21 March 1977 – 20 March 1978 | 1389 | 21 March 2010 – 20 March 2011 |
4 | 1357 | 21 March 1978 – 20 March 1979 | 1390 | 21 March 2011 – 19 March 2012 |
5 | 1358* | 21 March 1979 – 20 March 1980 | 1391* | 20 March 2012 – 20 March 2013 |
6 | 1359 | 21 March 1980 – 20 March 1981 | 1392 | 21 March 2013 – 20 March 2014 |
7 | 1360 | 21 March 1981 – 20 March 1982 | 1393 | 21 March 2014 – 20 March 2015 |
8 | 1361 | 21 March 1982 – 20 March 1983 | 1394 | 21 March 2015 – 19 March 2016 |
9 | 1362* | 21 March 1983 – 20 March 1984 | 1395* | 20 March 2016 – 20 March 2017 |
10 | 1363 | 21 March 1984 – 20 March 1985 | 1396 | 21 March 2017 – 20 March 2018 |
11 | 1364 | 21 March 1985 – 20 March 1986 | 1397 | 21 March 2018 – 20 March 2019 |
12 | 1365 | 21 March 1986 – 20 March 1987 | 1398 | 21 March 2019 – 19 March 2020 |
13 | 1366* | 21 March 1987 – 20 March 1988 | 1399* | 20 March 2020 – 20 March 2021 |
14 | 1367 | 21 March 1988 – 20 March 1989 | 1400 | 21 March 2021 – 20 March 2022 |
15 | 1368 | 21 March 1989 – 20 March 1990 | 1401 | 21 March 2022 – 20 March 2023 |
16 | 1369 | 21 March 1990 – 20 March 1991 | 1402 | 21 March 2023 – 19 March 2024 |
17 | 1370* | 21 March 1991 – 20 March 1992 | 1403* | 20 March 2024 – 20 March 2025 |
18 | 1371 | 21 March 1992 – 20 March 1993 | 1404 | 21 March 2025 – 20 March 2026 |
19 | 1372 | 21 March 1993 – 20 March 1994 | 1405 | 21 March 2026 – 20 March 2027 |
20 | 1373 | 21 March 1994 – 20 March 1995 | 1406 | 21 March 2027 – 19 March 2028 |
21 | 1374 | 21 March 1995 – 19 March 1996 | 1407 | 20 March 2028 – 19 March 2029 |
22 | 1375* | 20 March 1996 – 20 March 1997 | 1408* | 20 March 2029 – 20 March 2030 |
23 | 1376 | 21 March 1997 – 20 March 1998 | 1409 | 21 March 2030 – 20 March 2031 |
24 | 1377 | 21 March 1998 – 20 March 1999 | 1410 | 21 March 2031 – 19 March 2032 |
25 | 1378 | 21 March 1999 – 19 March 2000 | 1411 | 20 March 2032 – 19 March 2033 |
26 | 1379* | 20 March 2000 – 20 March 2001 | 1412* | 20 March 2033 – 20 March 2034 |
27 | 1380 | 21 March 2001 – 20 March 2002 | 1413 | 21 March 2034 – 20 March 2035 |
28 | 1381 | 21 March 2002 – 20 March 2003 | 1414 | 21 March 2035 – 19 March 2036 |
29 | 1382 | 21 March 2003 – 19 March 2004 | 1415 | 20 March 2036 – 19 March 2037 |
30 | 1383* | 20 March 2004 – 20 March 2005 | 1416* | 20 March 2037 – 20 March 2038 |
31 | 1384 | 21 March 2005 – 20 March 2006 | 1417 | 21 March 2038 – 20 March 2039 |
32 | 1385 | 21 March 2006 – 20 March 2007 | 1418 | 21 March 2039 – 19 March 2040 |
33 | 1386 | 21 March 2007 – 19 March 2008 | 1419 | 20 March 2040 – 19 March 2041 |
Its determination of the start of each year is astronomically accurate year-to-year as opposed to the more fixed Gregorian or Common Era calendar which, averaged out, has the same year length, achieving the same accuracy (a differently patterned calendar of 365 days for three consecutive years plus an extra day in the next year, save for three exceptions to the latter in a 400-year cycle). The start of the year and its number of days remain fixed to one of the two equinoxes, the astronomically important days when day and night each have the same duration. It results in less variability of all celestial bodies when comparing a specific calendar date from one year to others. [17]
Iranian mathematician Ahmad Birashk (1907–2002) proposed an alternative means of determining leap years. Birashk's book came out in 1993, and his algorithm was based on the same apparently erroneous presumptions as used by Zabih Behruz in his book from 1952. [17] Birashk's technique avoids the need to determine the moment of the astronomical equinox, replacing it with a very complex leap year structure. Years are grouped into cycles which begin with four normal years, after which every fourth subsequent year in the cycle is a leap year. Cycles are grouped into grand cycles of either 128 years (composed of cycles of 29, 33, 33, and 33 years) or 132 years, containing cycles of 29, 33, 33, and 37 years. A great grand cycle is composed of 21 consecutive 128-year grand cycles and a final 132 grand cycle, for a total of 2820 years. The pattern of normal and leap years which began in 1925, will not repeat until the year 4745.
The accuracy of the system proposed by Birashk and other recent authors, such as Zabih Behruz, has been thoroughly refuted and shown to be less precise than the traditional 33-year cycle. [17]
Each 2820-year great grand cycle proposed by Birashk contains 2137 normal years of 365 days and 683 leap years of 366 days, with the average year length over the great grand cycle of 365.24219852. This average is just 0.00000026 (2.6×10−7) of a day shorter than Newcomb's value for the mean tropical year of 365.24219878 days, but differs considerably more from the mean vernal equinox year of 365.242362 days, which means that the new year, intended to fall on the vernal equinox, would drift by half a day over the course of a cycle. [17]
A calendar is a system of organizing days. This is done by giving names to periods of time, typically days, weeks, months and years. A date is the designation of a single and specific day within such a system. A calendar is also a physical record of such a system. A calendar can also mean a list of planned events, such as a court calendar, or a partly or fully chronological list of documents, such as a calendar of wills.
A calendar year begins on the New Year's Day of the given calendar system and ends on the day before the following New Year's Day, and thus consists of a whole number of days.
The Hijri calendar, 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. It is used to determine the proper days of Islamic holidays and rituals, such as the annual fasting and the annual season for the great pilgrimage. In almost all countries where the predominant religion is Islam, the civil calendar is the Gregorian calendar, with Syriac month-names used in the Levant and Mesopotamia, but the religious calendar is the Hijri one.
Intercalation or embolism in timekeeping is the insertion of a leap day, week, or month into some calendar years to make the calendar follow the seasons or moon phases. Lunisolar calendars may require intercalations of days or months.
A leap year is a calendar year that contains an additional day compared to a common year. The 366th day is added to keep the calendar year synchronised with the astronomical year or seasonal year. Since astronomical events and seasons do not repeat in a whole number of days, calendars having a constant number of days each year will unavoidably drift over time with respect to the event that the year is supposed to track, such as seasons. By inserting ("intercalating") an additional day—a leap day—or month—a leap month—into some years, the drift between a civilization's dating system and the physical properties of the Solar System can be corrected.
A lunar calendar is a calendar based on the monthly cycles of the Moon's phases, in contrast to solar calendars, whose annual cycles are based on the solar year. The most widely observed purely lunar calendar is the Islamic calendar. A purely lunar calendar is distinguished from a lunisolar calendar, whose lunar months are brought into alignment with the solar year through some process of intercalation – such as by insertion of a leap month. The details of when months begin vary from calendar to calendar, with some using new, full, or crescent moons and others employing detailed calculations.
A lunisolar calendar is a calendar in many cultures, incorporating lunar calendars and solar calendars. The date of lunisolar calendars therefore indicates both the Moon phase and the time of the solar year, that is the position of the Sun in the Earth's sky. If the sidereal year is used instead of the solar year, then the calendar will predict the constellation near which the full moon may occur. As with all calendars which divide the year into months there is an additional requirement that the year have a whole number of months. In some cases ordinary years consist of twelve months but every second or third year is an embolismic year, which adds a thirteenth intercalary, embolismic, or leap month.
A month is a unit of time, used with calendars, that is approximately as long as a natural phase cycle of the Moon; the words month and Moon are cognates. The traditional concept of months arose with the cycle of Moon phases; such lunar months ("lunations") are synodic months and last approximately 29.53 days, making for roughly 12.37 such months in one Earth year. From excavated tally sticks, researchers have deduced that people counted days in relation to the Moon's phases as early as the Paleolithic age. Synodic months, based on the Moon's orbital period with respect to the Earth–Sun line, are still the basis of many calendars today and are used to divide the year.
A year is the time taken for astronomical objects to complete one orbit. For example, a year on Earth is the time taken for Earth to revolve around the Sun. Generally, a year is taken to mean a calendar year, but the word is also used for periods loosely associated with the calendar or astronomical year, such as the seasonal year, the fiscal year, the academic year, etc. The term can also be used in reference to any long period or cycle, such as the Great Year.
A solar calendar is a calendar whose dates indicate the season or almost equivalently the apparent position of the Sun relative to the stars. The Gregorian calendar, widely accepted as a standard in the world, is an example of a solar calendar. The main other types of calendar are lunar calendar and lunisolar calendar, whose months correspond to cycles of Moon phases. The months of the Gregorian calendar do not correspond to cycles of the Moon phase.
The Iranian calendar or Iranian chronology are a succession of calendars created and used for over two millennia in Iran, also known as Persia. One of the longest chronological records in human history, the Iranian calendar has been modified many times for administrative purposes. The most influential person in laying the frameworks for the calendar and its precision was the 11th century Persian polymath, Omar Khayyam. The modern Iranian calendar is currently the official civil calendar in Iran.
Adherents of Zoroastrianism use three distinct versions of traditional calendars for liturgical purposes. Those all derive from medieval Iranian calendars and ultimately are based on the Babylonian calendar as used in the Achaemenid empire. Qadimi ("ancient") is a traditional reckoning introduced in 1006. Shahanshahi ("imperial") is a calendar reconstructed from the 10th century text Denkard. Fasli is a term for a 1906 adaptation of the 11th century Jalali calendar following a proposal by Kharshedji Rustomji Cama made in the 1860s.
The Baháʼí calendar used in the Baháʼí Faith is a solar calendar consisting of nineteen months and four or five intercalary days, with new year at the moment of Northern spring equinox. Each month is named after a virtue, as are the days of the week. The first year is dated from 1844 CE, the year in which the Báb began teaching.
Calendar reform or calendrical reform is any significant revision of a calendar system. The term sometimes is used instead for a proposal to switch to a different calendar design.
The Islamic New Year, also called the Hijri New Year, is the day that marks the beginning of a new lunar Hijri year, and is the day on which the year count is incremented. The first day of the Islamic year is observed by most Muslims on the first day of the month of Muharram. The epoch of the Islamic era was set as the year of the emigration of Muhammad and his followers from Mecca to Medina, known as the Hijrah, which equates to 622 CE in the Gregorian calendar. All religious duties, such as prayer, fasting in the month of Ramadan, and pilgrimage, and the dates of significant events, such as celebration of holy nights and festivals, are calculated according to the Islamic calendar.
The Hijri year or era is the era used in the Islamic lunar calendar. It begins its count from the Islamic New Year in which Muhammad and his followers migrated from Mecca to Yathrib in 622 CE. This event, known as the Hijrah, is commemorated in Islam for its role in the founding of the first Muslim community (ummah).
Farvardin is the Iranian Persian name for the first month of the Solar Hijri calendar, the official calendar of Iran, and corresponds with Aries on the Zodiac. Farvardin has thirty-one days. It is the first month of the spring season (Bahar), and is followed by Ordibehesht. The Afghan Pashto name for it is Wray.
The Jalali calendar, also referred to as Malikshahi and Maliki, is a solar calendar compiled during the reign of Jalaluddin Malik-Shah I, the Sultan of the Seljuk Empire, by the order of Grand Vizier Nizam al-Mulk, using observations made in the cities of Isfahan, Rey, and Nishapur. Variants of the Jalali calendar are still in use today in Iran and Afghanistan. In Iran, the Persian names of the zodiac are used, while in Afghanistan the original Arabic names are used. The Jalali calendar gains approximately 1 day on the Julian calendar every 128 years.
The Rumi calendar, a specific calendar based on the Julian calendar, was officially used by the Ottoman Empire after Tanzimat (1839) and by its successor, the Republic of Turkey until 1926. It was adopted for civic matters and is a solar based calendar, assigning a date to each solar day.
The Gregorian calendar is the calendar used in most parts of the world. 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. The principal change was to space leap years differently so as to make the average calendar year 365.2425 days long, more closely approximating the 365.2422-day 'tropical' or 'solar' year that is determined by the Earth's revolution around the Sun.