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115-533: 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

230-642: A leap day being added to February in the leap years . The months and length of months in the Gregorian calendar are the same as for the Julian calendar. The only difference is that the Gregorian reform omitted a leap day in three centurial years every 400 years and left the leap day unchanged. A leap year normally occurs every four years: the leap day, historically, was inserted by doubling 24 February – there were indeed two days dated 24 February . However, for many years it has been customary to put

345-515: A year 0 and instead uses the ordinal numbers 1, 2, ... both for years AD and BC. Thus the traditional time line is 2 BC, 1 BC, AD 1, and AD 2. ISO 8601 uses astronomical year numbering which includes a year 0 and negative numbers before it. Thus the ISO 8601 time line is −0001 , 0000, 0001, and 0002. The Gregorian calendar continued to employ the Julian months, which have Latinate names and irregular numbers of days : Calendar A calendar

460-517: A business. It is used for budgeting, keeping accounts, and taxation. It is a set of 12 months that may start at any date in a year. The US government's fiscal year starts on 1 October and ends on 30 September. The government of India's fiscal year starts on 1 April and ends on 31 March. Small traditional businesses in India start the fiscal year on Diwali festival and end the day before the next year's Diwali festival. Calendar era A calendar era

575-559: A calendar based on the reign of their current sovereign. For example, the year 2006 in Japan is year 18 Heisei, with Heisei being the era name of Emperor Akihito . An astronomical calendar is based on ongoing observation; examples are the religious Islamic calendar and the old religious Jewish calendar in the time of the Second Temple . Such a calendar is also referred to as an observation-based calendar. The advantage of such

690-407: A calendar includes more than one type of cycle or has both cyclic and non-cyclic elements. Most calendars incorporate more complex cycles. For example, the vast majority of them track years, months, weeks and days. The seven-day week is practically universal, though its use varies. It has run uninterrupted for millennia. Solar calendars assign a date to each solar day . A day may consist of

805-437: A calendar is that it is perfectly and perpetually accurate. The disadvantage is that working out when a particular date would occur is difficult. An arithmetic calendar is one that is based on a strict set of rules; an example is the current Jewish calendar . Such a calendar is also referred to as a rule-based calendar. The advantage of such a calendar is the ease of calculating when a particular date occurs. The disadvantage

920-423: A calendar of wills. Periods in a calendar (such as years and months) are usually, though not necessarily, synchronized with the cycle of the sun or the moon . The most common type of pre-modern calendar was the lunisolar calendar , a lunar calendar that occasionally adds one intercalary month to remain synchronized with the solar year over the long term. The term calendar is taken from kalendae ,

1035-435: A calendar provides a way to determine when to start planting or harvesting, which days are religious or civil holidays , which days mark the beginning and end of business accounting periods, and which days have legal significance, such as the day taxes are due or a contract expires. Also, a calendar may, by identifying a day, provide other useful information about the day such as its season. Calendars are also used as part of

1150-407: A closely argued, 800-page volume. He would later defend his and Lilius's work against detractors. Clavius's opinion was that the correction should take place in one move, and it was this advice that prevailed with Gregory. The second component consisted of an approximation that would provide an accurate yet simple, rule-based calendar. Lilius's formula was a 10-day correction to revert the drift since

1265-417: A complete timekeeping system: date and time of day together specify a moment in time . In the modern world, timekeepers can show time, date, and weekday. Some may also show the lunar phase. The Gregorian calendar is the de facto international standard and is used almost everywhere in the world for civil purposes. The widely used solar aspect is a cycle of leap days in a 400-year cycle designed to keep

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1380-622: A computation for the date of Easter that achieved the same result as Gregory's rules, without actually referring to him. Britain and the British Empire (including the eastern part of what is now the United States) adopted the Gregorian calendar in 1752. Sweden followed in 1753. Prior to 1917, Turkey used the lunar Islamic calendar with the Hijri era for general purposes and the Julian calendar for fiscal purposes. The start of

1495-668: A general tax from the known world by Octavian or the end of the roman conquest of the peninsula during the civil war of the Second Triumvirate . Either way the date traditionally marks the establishment of Roman rule in Spain and was used in official documents by the Suebian and Visigothic kingdoms and later in Portugal , Aragon , Valencia , Castile , and southern France . This system of calibrating years fell to disuse in

1610-557: A lunar calendar and also the number of months in a year in a lunisolar calendar. This is generally known as intercalation . Even if a calendar is solar, but not lunar, the year cannot be divided entirely into months that never vary in length. Cultures may define other units of time, such as the week, for the purpose of scheduling regular activities that do not easily coincide with months or years. Many cultures use different baselines for their calendars' starting years. Historically, several countries have based their calendars on regnal years ,

1725-511: A reference date. This applies for the Julian day or Unix Time . Virtually the only possible variation is using a different reference date, in particular, one less distant in the past to make the numbers smaller. Computations in these systems are just a matter of addition and subtraction. Other calendars have one (or multiple) larger units of time. Calendars that contain one level of cycles: Calendars with two levels of cycles: Cycles can be synchronized with periodic phenomena: Very commonly

1840-750: A sermon given on 9 Dhu al-Hijjah AH 10 (Julian date: 6 March 632). This resulted in an observation-based lunar calendar that shifts relative to the seasons of the solar year. There have been several modern proposals for reform of the modern calendar, such as the World Calendar , the International Fixed Calendar , the Holocene calendar , and the Hanke–Henry Permanent Calendar . Such ideas are mooted from time to time, but have failed to gain traction because of

1955-580: A solar calendar, using as a fixed point the annual sunrise reappearance of the Dog Star— Sirius , or Sothis—in the eastern sky, which coincided with the annual flooding of the Nile River. They built a calendar with 365 days, divided into 12 months of 30 days each, with 5 extra days at the end of the year. However, they did not include the extra bit of time in each year, and this caused their calendar to slowly become inaccurate. Not all calendars use

2070-423: Is ⁠365 + 97 / 400 ⁠ days = 365.2425 days, or 365 days, 5 hours, 49 minutes and 12 seconds. The Gregorian calendar was a reform of the Julian calendar. It was instituted by papal bull Inter gravissimas dated 24 February 1582 by Pope Gregory XIII, after whom the calendar is named. The motivation for the adjustment was to bring the date for the celebration of Easter to the time of year in which it

2185-472: Is 365.2425463 days. As the average length of a Julian year is 365.25 days, the Julian year is almost 11 minutes longer than the mean tropical year. The discrepancy results in a drift of about three days every 400 years. Lilius's proposal resulted in an average year of 365.2425 days (see Accuracy ). At the time of Gregory's reform there had already been a drift of 10 days since the Council of Nicaea, resulting in

2300-518: Is a lunar calendar consisting of 12 lunar months in a year of 354 or 355 days. It is used to date events in most of the Muslim countries (concurrently with the Gregorian calendar) and used by Muslims everywhere to determine the proper day on which to celebrate Islamic holy days and festivals. Its epoch is the Hijra (corresponding to AD 622). With an annual drift of 11 or 12 days, the seasonal relation

2415-423: 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 (often paper) 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

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2530-475: Is imperfect accuracy. Furthermore, even if the calendar is very accurate, its accuracy diminishes slowly over time, owing to changes in Earth's rotation. This limits the lifetime of an accurate arithmetic calendar to a few thousand years. After then, the rules would need to be modified from observations made since the invention of the calendar. The early Roman calendar , created during the reign of Romulus , lumped

2645-691: Is repeated approximately every 33 Islamic years. Various Hindu calendars remain in use in the Indian subcontinent, including the Nepali calendars , Bengali calendar , Malayalam calendar , Tamil calendar , Vikrama Samvat used in Northern India, and Shalivahana calendar in the Deccan states. The Buddhist calendar and the traditional lunisolar calendars of Cambodia , Laos , Myanmar , Sri Lanka and Thailand are also based on an older version of

2760-501: Is the Islamic calendar . Alexander Marshack, in a controversial reading, believed that marks on a bone baton ( c.  25,000 BC ) represented a lunar calendar. Other marked bones may also represent lunar calendars. Similarly, Michael Rappenglueck believes that marks on a 15,000-year-old cave painting represent a lunar calendar. A lunisolar calendar is a lunar calendar that compensates by adding an extra month as needed to realign

2875-415: Is the change from the Julian calendar to the Gregorian calendar as enacted in various European countries between 1582 and the early 20th century. In England , Wales , Ireland , and Britain's American colonies , there were two calendar changes, both in 1752. The first adjusted the start of a new year from Lady Day (25 March) to 1 January (which Scotland had done from 1600), while the second discarded

2990-534: Is the period of time elapsed since one epoch of a calendar and, if it exists, before the next one. For example, it is the year 2024 as per the Gregorian calendar, which numbers its years in the Western Christian era (the Coptic Orthodox and Ethiopian Orthodox churches have their own Christian eras). In antiquity, regnal years were counted from the accession of a monarch. This makes

3105-423: Is the year using astronomical year numbering , that is, use 1 − (year BC) for BC years. ⌊ x ⌋ {\displaystyle \left\lfloor {x}\right\rfloor } means that if the result of the division is not an integer it is rounded down to the nearest integer. The general rule, in years which are leap years in the Julian calendar but not the Gregorian, is: Up to 28 February in

3220-632: Is used in Iran and some parts of Afghanistan . The Assyrian calendar is in use by the members of the Assyrian community in the Middle East (mainly Iraq, Syria, Turkey, and Iran) and the diaspora. The first year of the calendar is exactly 4750 years prior to the start of the Gregorian calendar. The Ethiopian calendar or Ethiopic calendar is the principal calendar used in Ethiopia and Eritrea , with

3335-629: The Akitu festival (celebrating the Mesopotamian new year), one of a small group of high officials (including the king in later periods) would be chosen by lot to serve as the limmu for the year, which meant that he would preside over the Akitu festival and the year would bear his name. The earliest attested limmu eponyms are from the Assyrian trading colony at Karum Kanesh in Anatolia, dating to

3450-924: The Battle of Agincourt is universally considered to have been fought on 25 October 1415 which is Saint Crispin 's Day. Usually, the mapping of new dates onto old dates with a start of year adjustment works well with little confusion for events that happened before the introduction of the Gregorian calendar. But for the period between the first introduction of the Gregorian calendar on 15 October 1582 and its introduction in Britain on 14 September 1752, there can be considerable confusion between events in continental western Europe and in British domains in English language histories. Events in continental western Europe are usually reported in English language histories as happening under

3565-516: The Catholic countries of Europe and their overseas possessions. Over the next three centuries, the Protestant and Eastern Orthodox countries also gradually moved to what they called the " Improved calendar ", with Greece being the last European country to adopt the calendar (for civil use only) in 1923. However, many Orthodox churches continue to use the Julian calendar for religious rites and

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3680-688: The Early Middle Ages , roughly between the 6th and 10th centuries. The era based on the Incarnation of Christ was introduced by Dionysius Exiguus in 525 and is in continued use with various reforms and derivations. The distinction between the Incarnation occurring with the conception or the Nativity of Jesus was not drawn until the late ninth century. The first day of the numbered year varied from place to place and depended on

3795-645: The First Council of Nicaea in AD 325, the excess leap days introduced by the Julian algorithm had caused the calendar to drift such that the March equinox was occurring well before its nominal 21 March date. This date was important to the Christian churches because it is fundamental to the calculation of the date of Easter . To reinstate the association, the reform advanced the date by 10 days: Thursday 4 October 1582

3910-566: The Oromo calendar also in use in some areas. In neighboring Somalia , the Somali calendar co-exists alongside the Gregorian and Islamic calendars. In Thailand , where the Thai solar calendar is used, the months and days have adopted the western standard, although the years are still based on the traditional Buddhist calendar . A fiscal calendar generally means the accounting year of a government or

4025-536: The Roman Republic and the Roman Empire was the consular year, which began on the day when consuls first entered office—probably 1 May before 222 BC, 15 March from 222 BC and 1 January from 153 BC. The Julian calendar, which began in 45 BC, continued to use 1 January as the first day of the new year . Even though the year used for dates changed, the civil year always displayed its months in

4140-566: The canonical date of the equinox and observed reality. Easter is celebrated on the Sunday after the ecclesiastical full moon on or after 21 March, which was adopted as an approximation to the March equinox. European scholars had been well aware of the calendar drift since the early medieval period. Bede , writing in the 8th century, showed that the accumulated error in his time was more than three days. Roger Bacon in c.  1200 estimated

4255-571: The chronology of the ancient Near East very difficult to reconstruct, based on disparate and scattered king lists, such as the Sumerian King List and the Babylonian Canon of Kings . In East Asia, reckoning by era names chosen by ruling monarchs ceased in the 20th century except for Japan , where they are still used. For over a thousand years, ancient Assyria used a system of eponyms to identify each year. Each year at

4370-603: The epacts of the Moon when calculating the annual date of Easter, solving a long-standing obstacle to calendar reform. Ancient tables provided the Sun's mean longitude. The German mathematician Christopher Clavius , the architect of the Gregorian calendar, noted that the tables agreed neither on the time when the Sun passed through the vernal equinox nor on the length of the mean tropical year. Tycho Brahe also noticed discrepancies. The Gregorian leap year rule (97 leap years in 400 years)

4485-505: The 13th century (the spelling calendar is early modern). The course of the Sun and the Moon are the most salient regularly recurring natural events useful for timekeeping , and in pre-modern societies around the world lunation and the year were most commonly used as time units. Nevertheless, the Roman calendar contained remnants of a very ancient pre-Etruscan 10-month solar year. The first recorded physical calendars, dependent on

4600-453: The 365.2422-day 'tropical' or 'solar' year that is determined by the Earth's revolution around the Sun. The rule for leap years is: Every year that is exactly divisible by four is a leap year, except for years that are exactly divisible by 100, but these centurial years are leap years if they are exactly divisible by 400. For example, the years 1700, 1800, and 1900 are not leap years, but the year 2000 is. There were two reasons to establish

4715-529: The 3rd year of the 6th Olympiad. Because the Parilia had become associated with the founding of the city by his time, he took the specific date to have been 21 April 753   BC. This became the official chronology of the empire by at least the time of Claudius , who held Secular Games in AD 47 to celebrate the city's 800th anniversary. The 900th and 1000th anniversaries were then celebrated in 148 under Antoninus Pius and in 248 under Philip I . The AUC era

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4830-530: The 61 days of the winter period them together as simply "winter." Over time, this period became January and February; through further changes over time (including the creation of the Julian calendar ) this calendar became the modern Gregorian calendar, introduced in the 1570s. The primary practical use of a calendar is to identify days: to be informed about or to agree on a future event and to record an event that has happened. Days may be significant for agricultural, civil, religious, or social reasons. For example,

4945-961: The Ancient Near East were based on the Babylonian calendar dating from the Iron Age , among them the calendar system of the Persian Empire, which in turn gave rise to the Zoroastrian calendar and the Hebrew calendar . A great number of Hellenic calendars were developed in Classical Greece , and during the Hellenistic period they gave rise to the ancient Roman calendar and to various Hindu calendars . Calendars in antiquity were lunisolar , depending on

5060-460: The Council of Nicaea was corrected by a deletion of 10 days. The Julian calendar day Thursday, 4 October 1582 was followed by the first day of the Gregorian calendar, Friday, 15 October 1582 (the cycle of weekdays was not affected). A month after having decreed the reform, the pope (with a brief of 3 April 1582) granted to one Antoni Lilio the exclusive right to publish the calendar for a period of ten years. The Lunario Novo secondo la nuova riforma

5175-400: The Council of Nicaea, and the imposition of a leap day in only 97 years in 400 rather than in 1 year in 4. The proposed rule was that "years divisible by 100 would be leap years only if they were divisible by 400 as well". The 19-year cycle used for the lunar calendar required revision because the astronomical new moon was, at the time of the reform, four days before the calculated new moon. It

5290-669: The Early Modern Age and was replaced by today's Anno Domini . The months and years are the same as the Julian Calendar . Throughout the Roman and Byzantine periods, the Decapolis and other Hellenized cities of Syria and Palestine used the Pompeian era , counting dates from the Roman general Pompey 's conquest of the region in 63 BC. A different form of calendar was used to track longer periods of time, and for

5405-496: The Gregorian calendar, but Britain used the Julian calendar). This coincidence encouraged UNESCO to make 23 April the World Book and Copyright Day . Astronomers avoid this ambiguity by the use of the Julian day number . For dates before the year 1, unlike the proleptic Gregorian calendar used in the international standard ISO 8601 , the traditional proleptic Gregorian calendar (like the older Julian calendar) does not have

5520-408: The Gregorian calendar. D = ⌊ Y / 100 ⌋ − ⌊ Y / 400 ⌋ − 2 , {\displaystyle D=\left\lfloor {Y/100}\right\rfloor -\left\lfloor {Y/400}\right\rfloor -2,} where D {\displaystyle D} is the secular difference and Y {\displaystyle Y}

5635-411: The Gregorian calendar. First, the Julian calendar assumed incorrectly that the average solar year is exactly 365.25 days long, an overestimate of a little under one day per century, and thus has a leap year every four years without exception. The Gregorian reform shortened the average (calendar) year by 0.0075 days to stop the drift of the calendar with respect to the equinoxes . Second, in the years since

5750-606: The Gregorian calendar. For example, the Battle of Blenheim is always given as 13 August 1704. Confusion occurs when an event affects both. For example, William III of England set sail from the Netherlands on 11 November 1688 (Gregorian calendar) and arrived at Brixham in England on 5 November 1688 (Julian calendar). Shakespeare and Cervantes seemingly died on exactly the same date (23 April 1616), but Cervantes predeceased Shakespeare by ten days in real time (as Spain used

5865-739: The Hindu calendar. Most of the Hindu calendars are inherited from a system first enunciated in Vedanga Jyotisha of Lagadha, standardized in the Sūrya Siddhānta and subsequently reformed by astronomers such as Āryabhaṭa (AD 499), Varāhamihira (6th century) and Bhāskara II (12th century). The Hebrew calendar is used by Jews worldwide for religious and cultural affairs, also influences civil matters in Israel (such as national holidays ) and can be used business dealings (such as for

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5980-518: The Julian calendar in favour of the Gregorian calendar, removing 11 days from the September 1752 calendar to do so. To accommodate the two calendar changes, writers used dual dating to identify a given day by giving its date according to both styles of dating. For countries such as Russia where no start of year adjustment took place, O.S. and N.S. simply indicate the Julian and Gregorian dating systems. Many Eastern Orthodox countries continue to use

6095-604: The Old Calendar) and the Revised Julian Calendar (often called the New Calendar). The Revised Julian Calendar is nearly the same as the Gregorian calendar, with the addition that years divisible by 100 are not leap years , except that years with remainders of 200 or 600 when divided by 900 remain leap years, e.g. 2000 and 2400 as in the Gregorian calendar. The Islamic calendar or Hijri calendar

6210-546: The Roman Rite of the Catholic Church, and generally include the liturgical seasons of Advent , Christmas , Ordinary Time (Time after Epiphany ), Lent , Easter , and Ordinary Time (Time after Pentecost ). Some Christian calendars do not include Ordinary Time and every day falls into a denominated season. The Eastern Orthodox Church employs the use of 2 liturgical calendars; the Julian calendar (often called

6325-643: The beginning of the year. Modern application of the AUC era generally ignores this, the known mistakes in Varro's own calculations, and the 752   BC epoch used by the Fasti and later Secular Games, such that AD 2024 is generally considered equivalent to AUC 2777 (2024 + 753). Another system that is less commonly found than might be thought was the use of the regnal year of the Roman emperor . At first, Augustus indicated

6440-428: The calendar being converted from , add one day less or subtract one day more than the calculated value. Give February the appropriate number of days for the calendar being converted into . When subtracting days to calculate the Gregorian equivalent of 29 February (Julian), 29 February is discounted. Thus if the calculated value is −4 the Gregorian equivalent of this date is 24 February. The year used in dates during

6555-589: The calendar year is taken as starting on 1 Tishri or on 1 Nisan (respectively the start of the Jewish civil and ecclesiastical years) the Seleucid era begins either in 311 BC (the Jewish reckoning) or in 312 BC (the Greek reckoning: October–September). An early and common practice was Roman ' consular ' dating. This involved naming both consules ordinarii who had taken up this office on 1 January (since 153 BC) of

6670-538: The calendar, requiring that the date of the vernal equinox be restored to that which it held at the time of the First Council of Nicaea in 325 and that an alteration to the calendar be designed to prevent future drift. This would allow for more consistent and accurate scheduling of the feast of Easter. In 1577, a Compendium was sent to expert mathematicians outside the reform commission for comments. Some of these experts, including Giambattista Benedetti and Giuseppe Moleto , believed Easter should be computed from

6785-517: The change a few months later: 9 December was followed by 20 December. Many Protestant countries initially objected to adopting a Catholic innovation; some Protestants feared the new calendar was part of a plot to return them to the Catholic fold. For example, the British could not bring themselves to adopt the Catholic system explicitly: the Annexe to their Calendar (New Style) Act 1750 established

6900-403: The cycle, an indiction being a year in duration. Documents and events began to be dated by the year of the cycle (e.g., "fifth indiction", "tenth indiction") in the 4th century, and this system was used long after the tax ceased to be collected. It was used in Gaul , in Egypt until the Islamic conquest , and in the Eastern Roman Empire until its conquest in 1453. A useful chart providing all

7015-441: The dating of cheques ). Followers of the Baháʼí Faith use the Baháʼí calendar . The Baháʼí Calendar, also known as the Badi Calendar was first established by the Bab in the Kitab-i-Asma. The Baháʼí Calendar is also purely a solar calendar and comprises 19 months each having nineteen days. The Chinese , Hebrew , Hindu , and Julian calendars are widely used for religious and social purposes. The Iranian (Persian) calendar

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7130-498: The dating of major feasts. To unambiguously specify a date during the transition period (in contemporary documents or in history texts), both notations were given , tagged as 'Old Style' or 'New Style' as appropriate. During the 20th century, most non- Western countries also adopted the calendar, at least for civil purposes . The Gregorian calendar, like the Julian calendar , is a solar calendar with 12 months of 28–31 days each. The year in both calendars consists of 365 days, with

7245-440: The development of writing in the Ancient Near East , are the Bronze Age Egyptian and Sumerian calendars. During the Vedic period India developed a sophisticated timekeeping methodology and calendars for Vedic rituals. According to Yukio Ohashi, the Vedanga calendar in ancient India was based on astronomical studies during the Vedic Period and was not derived from other cultures. A large number of calendar systems in

7360-418: The duration of the year aligned with the solar year . There is a lunar aspect which approximates the position of the moon during the year, and is used in the calculation of the date of Easter . Each Gregorian year has either 365 or 366 days (the leap day being inserted as 29 February), amounting to an average Gregorian year of 365.2425 days (compared to a solar year of 365.2422 days). The Gregorian calendar

7475-479: The emperor Justinian I discontinued appointing consuls. The last consul nominated was Anicius Faustus Albinus Basilius . Soon afterwards, imperial regnal dating was adopted in its place. Another method of dating was ab urbe condita (Latin for "from the founding of the city" of Rome) or anno urbis conditae (Latin for "in the year of the founding of the city"), both abbreviated AUC. Several epochs for this date were in use by Roman historians , all based on

7590-408: The equivalents can be found in Chaîne's book on chronology, and can easily be consulted online at the Internet Archive, from page 134 to page 172 . A rule for computing the indiction from an AD year number was stated by Dionysius Exiguus : add 3 and divide by 15; the remainder is the indiction, with 0 understood to be the fifteenth indiction. Thus the indiction of 2001 was 9. The beginning of

7705-408: The error at seven or eight days. Dante , writing c.  1300 , was aware of the need for calendar reform. An attempt to go forward with such a reform was undertaken by Pope Sixtus IV , who in 1475 invited Regiomontanus to the Vatican for this purpose. However, the project was interrupted by the death of Regiomontanus shortly after his arrival in Rome. The increase of astronomical knowledge and

7820-450: The events of the Neo-Assyrian Period to be dated to a specific year, avoiding the chronological debates that characterize earlier periods of Mesopotamian history. Among the ancient Greek historians and scholars, a common method of indicating the passage of years was based on the Olympic Games , first held in 776 BC . The Olympic Games provided the various independent city-states with a mutually recognizable system of dates. Olympiad dating

7935-415: The extra day at the end of the month of February, adding a 29 February for the leap day. Before the 1969 revision of its General Roman Calendar , the Catholic Church delayed February feasts after the 23rd by one day in leap years; masses celebrated according to the previous calendar still reflect this delay. Gregorian years are identified by consecutive year numbers. A calendar date is fully specified by

8050-419: The fiscal year was eventually fixed at 1 March and the year number was roughly equivalent to the Hijri year (see Rumi calendar ). As the solar year is longer than the lunar year this originally entailed the use of "escape years" every so often when the number of the fiscal year would jump. From 1 March 1917 the fiscal year became Gregorian, rather than Julian. On 1 January 1926, the use of the Gregorian calendar

8165-404: The incomplete surviving list of Roman consuls and the myths of the city's founding by Romulus and Remus . The chronology established by Marcus Terentius Varro in the 1st century BC intercalated several years of dictatorships , a period of anarchy, and a standardized length of reign for all of Rome's former kings to arrive at a year running from 754–753   BC, taken as equivalent to

8280-598: The inscription of calendar dates (i.e., identifying when one event occurred in relation to others). This form, known as the Long Count , is based upon the number of elapsed days since a mythological starting-point. According to the calibration between the Long Count and Western calendars accepted by the great majority of Maya researchers (known as the GMT correlation), this starting-point is equivalent to 11 August, 3114 BC in

8395-415: The introduction of intercalary months to align the solar and the lunar years. This was mostly based on observation, but there may have been early attempts to model the pattern of intercalation algorithmically, as evidenced in the fragmentary 2nd-century Coligny calendar . The Roman calendar was reformed by Julius Caesar in 46 BC. His "Julian" calendar was no longer dependent on the observation of

8510-454: The law of the Catholic Church in 1582, but it was not recognised by Protestant Churches , Eastern Orthodox Churches , Oriental Orthodox Churches , and a few others. Consequently, the days on which Easter and related holidays were celebrated by different Christian Churches again diverged. On 29 September 1582, Philip II of Spain decreed the change from the Julian to the Gregorian calendar. This affected much of Roman Catholic Europe, as Philip

8625-432: The loss of continuity and the massive upheaval that implementing them would involve, as well as their effect on cycles of religious activity. A full calendar system has a different calendar date for every day. Thus the week cycle is by itself not a full calendar system; neither is a system to name the days within a year without a system for identifying the years. The simplest calendar system just counts time periods from

8740-459: The memory of the Roman Republic faded (about AD 200), when they began to use their regnal year openly. Some regions of the Roman Empire dated their calendars from the date of Roman conquest, or the establishment of Roman rule. The Spanish era , or the Era of Caesar , counted the years from 38 BC and, although the exact reasons for this are unknown, it is usually attributed to either the levy of

8855-516: The months with the seasons. Prominent examples of lunisolar calendar are Hindu calendar and Buddhist calendar that are popular in South Asia and Southeast Asia . Another example is the Hebrew calendar, which uses a 19-year cycle . Nearly all calendar systems group consecutive days into "months" and also into "years". In a solar calendar a year approximates Earth's tropical year (that is,

8970-515: The most solemn of forms available to the Church, the bull had no authority beyond the Catholic Church (of which he was the supreme religious authority) and the Papal States (which he personally ruled). The changes that he was proposing were changes to the civil calendar, which required adoption by the civil authorities in each country to have legal effect. The bull Inter gravissimas became

9085-471: The new moon, but followed an algorithm of introducing a leap day every four years. This created a dissociation of the calendar month from lunation . The Gregorian calendar , introduced in 1582, corrected most of the remaining difference between the Julian calendar and the solar year. The Islamic calendar is based on the prohibition of intercalation ( nasi' ) by Muhammad , in Islamic tradition dated to

9200-471: The new year was moved to 1 September. In common usage, 1 January was regarded as New Year's Day and celebrated as such, but from the 12th century until 1751 the legal year in England began on 25 March ( Lady Day ). So, for example, the Parliamentary record lists the execution of Charles I on 30 January as occurring in 1648 (as the year did not end until 24 March), although later histories adjust

9315-522: The norm, can be identified. In other countries, the customs varied, and the start of the year moved back and forth as fashion and influence from other countries dictated various customs. Neither the papal bull nor its attached canons explicitly fix such a date, though the latter states that the " Golden number " of 1752 ends in December and a new year (and new Golden number) begins in January 1753. During

9430-454: The observation of religious feast days. While the Gregorian calendar is itself historically motivated to the calculation of the Easter date , it is now in worldwide secular use as the de facto standard. Alongside the use of the Gregorian calendar for secular matters, there remain several calendars in use for religious purposes. Western Christian liturgical calendars are based on the cycle of

9545-451: The older Julian calendar for religious purposes. Extending the Gregorian calendar backwards to dates preceding its official introduction produces a proleptic calendar , which should be used with some caution. For ordinary purposes, the dates of events occurring prior to 15 October 1582 are generally shown as they appeared in the Julian calendar, with the year starting on 1 January, and no conversion to their Gregorian equivalents. For example,

9660-620: The order January to December from the Roman Republican period until the present. During the Middle Ages, under the influence of the Catholic Church, many Western European countries moved the start of the year to one of several important Christian festivals—25 December ( Christmas ), 25 March ( Annunciation ), or Easter, while the Byzantine Empire began its year on 1 September and Russia did so on 1 March until 1492 when

9775-414: The period between sunrise and sunset , with a following period of night , or it may be a period between successive events such as two sunsets. The length of the interval between two such successive events may be allowed to vary slightly during the year, or it may be averaged into a mean solar day . Other types of calendar may also use a solar day. The Egyptians appear to have been the first to develop

9890-454: The period between 1582, when the first countries adopted the Gregorian calendar, and 1923, when the last European country adopted it, it was often necessary to indicate the date of some event in both the Julian calendar and in the Gregorian calendar, for example, "10/21 February 1750/51", where the dual year accounts for some countries already beginning their numbered year on 1 January while others were still using some other date. Even before 1582,

10005-625: The precision of observations towards the end of the 15th century made the question more pressing. Numerous publications over the following decades called for a calendar reform, among them two papers sent to the Vatican by the University of Salamanca in 1515 and 1578, but the project was not taken up again until the 1540s, and implemented only under Pope Gregory XIII (r. 1572–1585). In 1545, the Council of Trent authorised Pope Paul III to reform

10120-446: The proleptic Gregorian calendar or 6 September in the Julian calendar (−3113 astronomical). A great many local systems or eras were also important, for example the year from the foundation of one particular city, the regnal year of the neighboring Persian emperor , and eventually even the year of the reigning Caliph . Most of the traditional calendar eras in use today were introduced at the time of transition from Late Antiquity to

10235-408: The relevant civil year. Sometimes one or both consuls might not be appointed until November or December of the previous year, and news of the appointment may not have reached parts of the Roman empire for several months into the current year; thus we find the occasional inscription where the year is defined as "after the consulate" of a pair of consuls. The use of consular dating ended in AD 541 when

10350-410: The same basis, for years before 1582), and the difference between Gregorian and Julian calendar dates increases by three days every four centuries (all date ranges are inclusive). The following equation gives the number of days that the Gregorian calendar is ahead of the Julian calendar, called the "secular difference" between the two calendars. A negative difference means the Julian calendar is ahead of

10465-496: The same day, it took almost five centuries before virtually all Christians achieved that objective by adopting the rules of the Church of Alexandria (see Easter for the issues which arose). Because the date of Easter is a function – the computus  – of the date of the spring equinox in the northern hemisphere, the Catholic Church considered unacceptable the increasing divergence between

10580-523: The same to two sexagesimal places (0;14,33, equal to decimal 0.2425) and this is also the mean length of the Gregorian year. Thus Pitatus's solution would have commended itself to the astronomers. Lilius's proposals had two components. First, he proposed a correction to the length of the year. The mean tropical year is 365.24219 days long. A commonly used value in Lilius's time, from the Alfonsine tables,

10695-407: The solar year as a unit. A lunar calendar is one in which days are numbered within each lunar phase cycle. Because the length of the lunar month is not an even fraction of the length of the tropical year , a purely lunar calendar quickly drifts against the seasons, which do not vary much near the equator. It does, however, stay constant with respect to other phenomena, notably tides . An example

10810-504: The start of the year to 1 January and record the execution as occurring in 1649. Most Western European countries changed the start of the year to 1 January before they adopted the Gregorian calendar. For example, Scotland changed the start of the Scottish New Year to 1 January in 1600 (this means that 1599 was a short year). England, Ireland and the British colonies changed the start of the year to 1 January in 1752 (so 1751

10925-551: The term for the first day of the month in the Roman calendar, related to the verb calare 'to call out', referring to the "calling" of the new moon when it was first seen. Latin calendarium meant 'account book, register' (as accounts were settled and debts were collected on the calends of each month). The Latin term was adopted in Old French as calendier and from there in Middle English as calender by

11040-528: The time it takes for a complete cycle of seasons ), traditionally used to facilitate the planning of agricultural activities. In a lunar calendar , the month approximates the cycle of the moon phase. Consecutive days may be grouped into other periods such as the week. Because the number of days in the tropical year is not a whole number, a solar calendar must have a different number of days in different years. This may be handled, for example, by adding an extra day in leap years . The same applies to months in

11155-521: The true motions of the Sun and Moon, rather than using a tabular method, but these recommendations were not adopted. The reform adopted was a modification of a proposal made by the Calabrian doctor Aloysius Lilius (or Lilio). Lilius's proposal included reducing the number of leap years in four centuries from 100 to 97, by making three out of four centurial years common instead of leap years. He also produced an original and practical scheme for adjusting

11270-427: The vernal equinox falling on 10 or 11 March instead of the ecclesiastically fixed date of 21 March, and if unreformed it would have drifted further. Lilius proposed that the 10-day drift should be corrected by deleting the Julian leap day on each of its ten occurrences over a period of forty years, thereby providing for a gradual return of the equinox to 21 March. Lilius's work was expanded upon by Christopher Clavius in

11385-718: The very beginning of the 2nd millennium BC, and they continued in use until the end of the Neo-Assyrian Period , c.  612 BC . Assyrian scribes compiled limmu lists, including an unbroken sequence of almost 250 eponyms from the early 1st millennium BC. This is an invaluable chronological aid, because a solar eclipse was recorded as having taken place in the limmu of Bur-Sagale, governor of Guzana . Astronomers have identified this eclipse as one that took place on 15 June 763 BC , which has allowed absolute dates of 892 to 648 BC to be assigned to that sequence of eponyms. This list of absolute dates has allowed many of

11500-610: The year (numbered according to a calendar era , in this case Anno Domini or Common Era ), the month (identified by name or number), and the day of the month (numbered sequentially starting from 1). Although the calendar year currently runs from 1 January to 31 December, at previous times year numbers were based on a different starting point within the calendar (see the "beginning of the year" section below). Calendar cycles repeat completely every 400 years, which equals 146,097 days. Of these 400 years, 303 are regular years of 365 days and 97 are leap years of 366 days. A mean calendar year

11615-573: The year for the indiction varied. The Seleucid era was used in much of the Middle East from the 4th century BC to the 6th century AD, and continued until the 10th century AD among Oriental Christians. The era is computed from the epoch 312 BC: in August of that year Seleucus I Nicator captured Babylon and began his reign over the Asian portions of Alexander the Great 's empire. Thus depending on whether

11730-472: The year of his reign by counting how many times he had held the office of consul, and how many times the Roman Senate had granted him the power of a tribune ( Latin : tribunicia potestas , abbr. TRP), carefully observing the fiction that his powers came from these offices granted to him, rather than from his own person or the many legions under his control. His successors followed his practice until

11845-431: The year sometimes had to be double-dated because of the different beginnings of the year in various countries. Woolley, writing in his biography of John Dee (1527–1608/9), notes that immediately after 1582 English letter writers "customarily" used "two dates" on their letters, one OS and one NS. "Old Style" (O.S.) and "New Style" (N.S.) indicate dating systems before and after a calendar change, respectively. Usually, this

11960-399: Was Greece, in 1923. The calendar epoch used by the Gregorian calendar is inherited from the medieval convention established by Dionysius Exiguus and associated with the Julian calendar. The year number is variously given as AD (for Anno Domini ) or CE (for Common Era or Christian Era ). The most important use of pre-modern calendars is keeping track of the liturgical year and

12075-478: Was a short year with only 282 days). Later in 1752 in September the Gregorian calendar was introduced throughout Britain and the British colonies (see the section Adoption ). These two reforms were implemented by the Calendar (New Style) Act 1750 . In some countries, an official decree or law specified that the start of the year should be 1 January. For such countries, a specific date when a "1 January year" became

12190-640: Was at the time ruler over Spain and Portugal as well as much of Italy . In these territories, as well as in the Polish–Lithuanian Commonwealth and in the Papal States, the new calendar was implemented on the date specified by the bull, with Julian Thursday, 4 October 1582, being followed by Gregorian Friday, 15 October. The Spanish and Portuguese colonies followed somewhat later de facto because of delay in communication. The other major Catholic power of Western Europe, France, adopted

12305-457: Was celebrated when it was introduced by the early Church. The error in the Julian calendar (its assumption that there are exactly 365.25 days in a year) had led to the date of the equinox according to the calendar drifting from the observed reality, and thus an error had been introduced into the calculation of the date of Easter . Although a recommendation of the First Council of Nicaea in 325 specified that all Christians should celebrate Easter on

12420-404: Was extended to include use for general purposes and the number of the year became the same as in most other countries. This section always places the intercalary day on 29 February even though it was always obtained by doubling 24 February (the bissextum (twice sixth) or bissextile day) until the late Middle Ages . The Gregorian calendar is proleptic before 1582 (calculated backwards on

12535-413: Was followed by Friday 15 October 1582. In addition, the reform also altered the lunar cycle used by the Church to calculate the date for Easter, because astronomical new moons were occurring four days before the calculated dates. Whilst the reform introduced minor changes, the calendar continued to be fundamentally based on the same geocentric theory as its predecessor. The reform was adopted initially by

12650-554: Was introduced in 1582 as a refinement to the Julian calendar , that had been in use throughout the European Middle Ages, amounting to a 0.002% correction in the length of the year. During the Early Modern period, its adoption was mostly limited to Roman Catholic nations, but by the 19th century it had become widely adopted for the sake of convenience in international trade. The last European country to adopt it

12765-477: Was not used in everyday life. This system was in use from the 3rd century BC. The modern Olympic Games (or Summer Olympic Games beginning 1896) do not continue the four year periods from ancient Greece: the 669th Olympiad would have begun in the summer of 1897, but the modern Olympics were first held in 1896. The indiction cycle was an agricultural tax cycle implemented in Roman Egypt. 15 indictions made up

12880-454: Was printed by Vincenzo Accolti, one of the first calendars printed in Rome after the reform, notes at the bottom that it was signed with papal authorization and by Lilio ( Con licentia delli Superiori... et permissu Ant(onii) Lilij ). The papal brief was revoked on 20 September 1582, because Antonio Lilio proved unable to keep up with the demand for copies. Although Gregory's reform was enacted in

12995-723: Was put forward by Petrus Pitatus of Verona in 1560. He noted that it is consistent with the tropical year of the Alfonsine tables and with the mean tropical year of Copernicus ( De revolutionibus ) and Erasmus Reinhold ( Prutenic tables ). The three mean tropical years in Babylonian sexagesimals as the excess over 365 days (the way they would have been extracted from the tables of mean longitude) were 0;14,33,9,57 (Alfonsine), 0;14,33,11,12 (Copernicus) and 0;14,33,9,24 (Reinhold). In decimal notation, these are equal to 0.24254606, 0.24255185, and 0.24254352, respectively. All values are

13110-662: Was seldom used in the traditional Roman or early Julian calendars . Naming each year by its two consuls or by the emperor's regnal years predominated, with Hadrian 's aurei and sestertii marking the Romaea in AUC 874 ( ann dccclxxiiii nat vrb ) a notable exception. AUC dating became more common in late antiquity, appearing in Censorinus , Orosius , and others. During the early Middle Ages, some church officials like Boniface IV employed AUC and AD dating together. Historical Roman dating employed several different dates for

13225-411: Was to be corrected by one day every 300 or 400 years (8 times in 2500 years) along with corrections for the years that are no longer leap years (i.e. 1700, 1800, 1900, 2100, etc.) In fact, a new method for computing the date of Easter was introduced. The method proposed by Lilius was revised somewhat in the final reform. When the new calendar was put in use, the error accumulated in the 13 centuries since

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