Gregorian calendar

<h2 id="description">Description</h2>
The Gregorian calendar, like the <a href="/facts/Julian_calendar/EQBtA1ML">Julian calendar</a>, is a <a href="/facts/Solar_calendar/HWCAWfpX">solar calendar</a> with 12 months of 28–31 days each. The year in both calendars consists of 365 days, with a <a href="/facts/Leap_day/lJscEwUh">leap day</a> being added to February in the <a href="/facts/Leap_year/7Vfs3cTg">leap years</a>. 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 calendar omits a leap day in three centurial years every 400 years and leaves 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 <a href="/facts/Bissextus/7NjVDHp0">two days dated 24 February</a>. However, for many years it has been customary to put the extra day at the end of the month of February, adding a <a href="/facts/29_February/lJscEwUh">29 February</a> for the leap day. Before the <a href="/facts/Mysterii_Paschalis/v7sgQBwe">1969 revision</a> of its <a href="/facts/General_Roman_Calendar/NBvwAX62">General Roman Calendar</a>, 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.<a class="footnote-ref" id="fnref:11" href="#fn:11">11</a>

A year is divided into twelve <a href="/facts/Month/pMGGWtRc">months</a><table><tbody><tr><th>No.</th><th>Name</th><th>Length in days</th></tr><tr><td>1</td><td>January</td><td>31</td></tr><tr><td>2</td><td>February</td><td>28 (29 in <a href="/facts/Leap_year/7Vfs3cTg">leap years</a>)</td></tr><tr><td>3</td><td>March</td><td>31</td></tr><tr><td>4</td><td>April</td><td>30</td></tr><tr><td>5</td><td>May</td><td>31</td></tr><tr><td>6</td><td>June</td><td>30</td></tr><tr><td>7</td><td>July</td><td>31</td></tr><tr><td>8</td><td>August</td><td>31</td></tr><tr><td>9</td><td>September</td><td>30</td></tr><tr><td>10</td><td>October</td><td>31</td></tr><tr><td>11</td><td>November</td><td>30</td></tr><tr><td>12</td><td>December</td><td>31</td></tr></tbody></table>
Gregorian years are identified by consecutive year numbers.<a class="footnote-ref" id="fnref:12" href="#fn:12">12</a> A calendar date is fully specified by the year (numbered according to a <a href="/facts/Calendar_era/3Qjnadec">calendar era</a>, in this case <a href="/facts/Anno_Domini/NmQwnQNj">Anno Domini</a> or <a href="/facts/Common_Era/e5DpqUoe">Common Era</a>), 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.<a class="footnote-ref" id="fnref:13" href="#fn:13">13</a><a class="footnote-ref" id="fnref:14" href="#fn:14">14</a> Of these 400 years, 303 are regular years of 365 days and 97 are leap years of 366 days. A mean calendar year is ⁠365+97/400⁠ days = 365.2425 days, or 365 days, 5 hours, 49 minutes and 12 seconds.<a class="footnote-ref" id="fnref:15" href="#fn:15">15</a>

<h2 id="gregorian-reform">Gregorian reform</h2>

The Gregorian calendar was a reform of the Julian calendar. It was instituted by the papal bull <a href="/facts/Inter_gravissimas/zJE7qUwz">Inter gravissimas</a> dated 24 February 1582 by Pope Gregory XIII,<a class="footnote-ref" id="fnref:16" href="#fn:16">16</a> 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 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 <a href="/facts/Computus/HUosdPeP">calculation of the date of Easter</a>. Although a recommendation of the <a href="/facts/First_Council_of_Nicaea/6lHSuWwy">First Council of Nicaea</a> in 325 specified that all Christians should celebrate Easter on 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 <a href="/facts/Easter/LYPGCQge">Easter</a> for the issues which arose).<a class="footnote-ref" id="fnref:17" href="#fn:17">17</a>

<h3>Background</h3>
Because the <a href="/facts/Date_of_Easter/HUosdPeP">date of Easter</a> is a function – the <a href="/facts/Computus/HUosdPeP">computus</a> – of the date of the <a href="/facts/March_equinox/27hlaADj">spring equinox</a> in the northern hemisphere, the <a href="/facts/Catholic_Church/rJ4F4gqH">Catholic Church</a> considered unacceptable the increasing divergence between the <a href="/facts/Canon_law_of_the_Catholic_Church/eybl64mc">canonical date</a> of the equinox and observed reality. Easter is celebrated on the Sunday after the <a href="/facts/Ecclesiastical_full_moon/DTz406cC">ecclesiastical full moon</a> on or after 21 March, which was adopted as an approximation to the March equinox.<a class="footnote-ref" id="fnref:18" href="#fn:18">18</a> European scholars had been well aware of the calendar drift since the early medieval period.
<a href="/facts/Bede/y9yWnIua">Bede</a>, writing in the 8th century, showed that the accumulated error in his time was more than three days. <a href="/facts/Roger_Bacon/p1kvowog">Roger Bacon</a>, c. 1200, estimated the error at seven or eight days. <a href="/facts/Dante/rXX7fIg0">Dante</a>, writing c. 1300, was aware of the need for calendar reform. An attempt to go forward with such a reform was undertaken by <a href="/facts/Pope_Sixtus_IV/nT5lt6u8">Pope Sixtus IV</a>, who in 1475 invited <a href="/facts/Regiomontanus/CrMSdtQU">Regiomontanus</a> to the Vatican for this purpose. However, the project was interrupted by the death of Regiomontanus shortly after his arrival in Rome.<a class="footnote-ref" id="fnref:19" href="#fn:19">19</a> The increase of astronomical knowledge and 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 <a href="/facts/University_of_Salamanca/YmePKW6o">University of Salamanca</a> in 1515 and 1578,<a class="footnote-ref" id="fnref:20" href="#fn:20">20</a> but the project was not taken up again until the 1540s, and implemented only under Pope Gregory XIII (r. 1572–1585).

<h3>Preparation</h3>
In 1545, the <a href="/facts/Council_of_Trent/vRPIBssJ">Council of Trent</a> authorised <a href="/facts/Pope_Paul_III/fq3qarwb">Pope Paul III</a> to reform the calendar, requiring that the date of the <a href="/facts/March_equinox/27hlaADj">vernal equinox</a> be restored to that which it held at the time of the <a href="/facts/First_Council_of_Nicaea/6lHSuWwy">First Council of Nicaea</a> 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 <a href="/facts/Giambattista_Benedetti/fVXI1YIq">Giambattista Benedetti</a> and <a href="/facts/Giuseppe_Moletti/8zgC7c0r">Giuseppe Moleto</a>, believed <a href="/facts/Easter/LYPGCQge">Easter</a> should be computed from the true motions of the Sun and Moon, rather than using a tabular method, but these recommendations were not adopted.<a class="footnote-ref" id="fnref:21" href="#fn:21">21</a> The reform adopted was a modification of a proposal made by the <a href="/facts/Calabria/n9602l3b">Calabrian</a> doctor <a href="/facts/Aloysius_Lilius/tYVcIQl6">Aloysius Lilius</a> (or Lilio).<a class="footnote-ref" id="fnref:22" href="#fn:22">22</a>
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 the <a href="/facts/Epact/TFMgu04L">epacts of the Moon</a> when calculating the annual date of Easter, solving a long-standing obstacle to calendar reform.
Ancient tables provided the Sun's mean longitude.<a class="footnote-ref" id="fnref:23" href="#fn:23">23</a> The German mathematician <a href="/facts/Christopher_Clavius/1mefR30R">Christopher Clavius</a>, 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. <a href="/facts/Tycho_Brahe/HroPxnCq">Tycho Brahe</a> also noticed discrepancies.<a class="footnote-ref" id="fnref:24" href="#fn:24">24</a><a class="footnote-ref" id="fnref:25" href="#fn:25">25</a> The Gregorian leap year rule (97 leap years in 400 years) was put forward by <a href="/facts/Petrus_Pitatus/peT1aQny">Petrus Pitatus</a> of Verona in 1560. He noted that it is consistent with the tropical year of the <a href="/facts/Alfonsine_tables/P9Ddfn9a">Alfonsine tables</a> and with the mean tropical year of Copernicus (<a href="/facts/De_revolutionibus/8J8EQEY5">De revolutionibus</a>) and <a href="/facts/Erasmus_Reinhold/oIPF4Xth">Erasmus Reinhold</a> (<a href="/facts/Prutenic_tables/cU8nth3c">Prutenic tables</a>). The three mean tropical years in Babylonian <a href="/facts/Sexagesimal/bspNRWdR">sexagesimals</a> 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).<a class="footnote-ref" id="fnref:26" href="#fn:26">26</a> In decimal notation, these are equal to 0.24254606, 0.24255185, and 0.24254352, respectively. All values are 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.<a class="footnote-ref" id="fnref:27" href="#fn:27">27</a>
Lilius's proposals had two components. First, he proposed a correction to the length of the year. The mean <a href="/facts/Tropical_year/ASBLWNMY">tropical year</a> is 365.24219 days long.<a class="footnote-ref" id="fnref:28" href="#fn:28">28</a> A commonly used value in Lilius's time, from the Alfonsine tables, is 365.2425463 days.<a class="footnote-ref" id="fnref:29" href="#fn:29">29</a> 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 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 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 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.<a class="footnote-ref" id="fnref:30" href="#fn:30">30</a> It was to be corrected by one day every 300 or 400 years (8 times in 2,500 years) along with corrections for the years that were 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.<a class="footnote-ref" id="fnref:31" href="#fn:31">31</a>
When the new calendar was put in use, the error accumulated in the 13 centuries since 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).

<h4>First printed Gregorian calendar</h4>

A month after decreeing 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<a class="footnote-ref" id="fnref:32" href="#fn:32">32</a> 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.<a class="footnote-ref" id="fnref:33" href="#fn:33">33</a>

<h3>Adoption </h3>
Main article: <a href="/facts/Adoption_of_the_Gregorian_calendar/zdTv43W5">Adoption of the Gregorian calendar</a>
Although Gregory's reform was enacted in 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 <a href="/facts/Papal_States/536PqTjo">Papal States</a> (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 the law of the Catholic Church in 1582, but it was not recognised by <a href="/facts/Protestantism/NXja4K3g">Protestant churches</a>, <a href="/facts/Eastern_Orthodox_churches/5n20Akh5">Eastern Orthodox churches</a>, <a href="/facts/Oriental_Orthodox_churches/Hr4jF7La">Oriental Orthodox churches</a>, 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, <a href="/facts/Philip_II_of_Spain/xSwrEajp">Philip II of Spain</a> decreed the change from the Julian to the Gregorian calendar.<a class="footnote-ref" id="fnref:34" href="#fn:34">34</a> This affected much of Roman Catholic Europe, as Philip was at the time ruler over <a href="/facts/Iberian_Union/rFlAvzSy">Spain and Portugal</a> as well as <a href="/facts/History_of_early_modern_Italy/ERyTBxJg">much of Italy</a>.<a class="footnote-ref" id="fnref:35" href="#fn:35">35</a> In these territories, as well as in the <a href="/facts/Polish%25E2%2580%2593Lithuanian_Commonwealth/Tt0zAlQD">Polish–Lithuanian Commonwealth</a><a class="footnote-ref" id="fnref:36" href="#fn:36">36</a> 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 <a href="/facts/Spanish_Empire/RaWWgnQS">Spanish</a> and <a href="/facts/Portuguese_Empire/nxn2wnHj">Portuguese colonies</a> followed somewhat later de facto because of delay in communication.<a class="footnote-ref" id="fnref:37" href="#fn:37">37</a> The other major Catholic power of Western Europe, France, adopted the change a few months later: 9 December was followed by 20 December.<a class="footnote-ref" id="fnref:38" href="#fn:38">38</a>
Many <a href="/facts/Protestant/NXja4K3g">Protestant</a> 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 <a href="/facts/Calendar_(New_Style)_Act_1750/MqIwkpg7">Calendar (New Style) Act 1750</a> established a computation for the date of Easter that achieved the same result as Gregory's rules, without actually referring to him.<a class="footnote-ref" id="fnref:39" href="#fn:39">39</a>
<a href="/facts/Kingdom_of_Great_Britain/5yBEtQIt">Britain</a> and the <a href="/facts/British_Empire/hrsz0j7A">British Empire</a> (including the eastern part of what is now the United States) adopted the Gregorian calendar in 1752. <a href="/facts/Swedish_calendar/v5HIbLKC">Sweden</a> followed in 1753.
Prior to 1917, Turkey used the lunar <a href="/facts/Islamic_calendar/7n4UBAYy">Islamic calendar</a> with the <a href="/facts/Hijri_year/YLhMRWU1">Hijri era</a> for general purposes and the Julian calendar for fiscal purposes. The start of the fiscal year was eventually fixed at 1 March and the year number was roughly equivalent to the <a href="/facts/Hijri_year/YLhMRWU1">Hijri year</a> (see <a href="/facts/Rumi_calendar/RtuYgY4x">Rumi calendar</a>). 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 was extended to include use for general purposes and the number of the year became the same as in most other countries.

<h4>Adoption by country</h4>
This is a brief summary. For a comprehensive table, see <a href="/facts/List_of_adoption_dates_of_the_Gregorian_calendar_by_country/C2DM9yAP">List of adoption dates of the Gregorian calendar by country</a>
<table><tbody><tr><th>Year</th><th>Country/-ies/Areas</th></tr><tr><td>1582</td><td><a href="/facts/Habsburg_Spain/YDSCuG3x">Spain</a>, <a href="/facts/Kingdom_of_Portugal/KUUfjXpt">Portugal</a>, <a href="/facts/France_in_the_early_modern_period/bGuzvsPu">France</a>, <a href="/facts/Polish-Lithuanian_Commonwealth/Tt0zAlQD">Polish-Lithuanian Commonwealth</a>, <a href="/facts/Italy_(geographical_region)/WoDX0QBM">Italy</a>, Catholic <a href="/facts/Low_Countries/umPWQ5hV">Low Countries</a>, <a href="/facts/Duchy_of_Luxembourg/mg76QsTL">Luxembourg</a>, and colonies thereof</td></tr><tr><td>1584</td><td><a href="/facts/Kingdom_of_Bohemia/xLRecLL1">Bohemia</a>, some Catholic <a href="/facts/Swiss_cantons/k3wxdzmF">Swiss cantons</a><a class="footnote-ref" id="fnref:40" href="#fn:40">40</a></td></tr><tr><td>1610</td><td><a href="/facts/Duchy_of_Prussia/Aop3q6Mh">Prussia</a></td></tr><tr><td>1648</td><td><a href="/facts/Alsace/MSXIp87H">Alsace</a></td></tr><tr><td>1682</td><td><a href="/facts/Strasbourg/MTdQtoPy">Strasbourg</a></td></tr><tr><td>1700</td><td>Protestant <a href="/facts/Low_Countries/umPWQ5hV">Low Countries</a>, <a href="/facts/Denmark%25E2%2580%2593Norway/1BByzm5P">Denmark–Norway</a>, some Protestant <a href="/facts/Swiss_cantons/k3wxdzmF">Swiss cantons</a><a class="footnote-ref" id="fnref:41" href="#fn:41">41</a></td></tr><tr><td>1752</td><td><a href="/facts/Kingdom_of_Great_Britain/5yBEtQIt">Great Britain</a>, <a href="/facts/Kingdom_of_Ireland/bQ5PhuTB">Ireland</a>, and the <a href="/facts/British_Empire/hrsz0j7A">"First" British Empire (1707–1783)</a></td></tr><tr><td>1753</td><td><a href="/facts/Age_of_Liberty/Rqwz8Als">Sweden</a>, including <a href="/facts/Finland_under_Swedish_rule/dxR6G9vk">Finland</a></td></tr><tr><td>1873</td><td><a href="/facts/Empire_of_Japan/gMpNKg2W">Japan</a></td></tr><tr><td>1875</td><td><a href="/facts/Khedivate_of_Egypt/nrRH0px9">Egypt</a></td></tr><tr><td>1896</td><td><a href="/facts/Joseon/Vv7SVEfL">Korea</a></td></tr><tr><td>1912</td><td><a href="/facts/Qing_dynasty/5j6r4p5m">China</a>, <a href="/facts/Independent_Albania/Ro4YsHd3">Albania</a></td></tr><tr><td>1915</td><td><a href="/facts/Latvia/y2PSa8lx">Latvia</a>, <a href="/facts/Lithuania/dApVjLWW">Lithuania</a></td></tr><tr><td>1916</td><td><a href="/facts/Kingdom_of_Bulgaria/8p074GL0">Bulgaria</a></td></tr><tr><td>1917</td><td><a href="/facts/Ottoman_Empire/6QvfTRsg">Ottoman Empire</a></td></tr><tr><td>1918</td><td><a href="/facts/Ukrainian_People%2527s_Republic/mQqN2T4v">Ukraine</a>, <a href="/facts/Russian_Soviet_Federative_Socialist_Republic/W9pC4bK6">Russia</a>, <a href="/facts/Governorate_of_Estonia/CdJ7skUj">Estonia</a></td></tr><tr><td>1919</td><td><a href="/facts/Kingdom_of_Romania/CwhVjbwD">Romania</a>, <a href="/facts/Kingdom_of_Yugoslavia/IRNUtvxW">Yugoslavia</a><a class="footnote-ref" id="fnref:42" href="#fn:42">42</a></td></tr><tr><td>1923</td><td><a href="/facts/Kingdom_of_Greece/TJC3Ccpb">Greece</a></td></tr><tr><td>1926</td><td><a href="/facts/Turkey/KIYAWAs0">Turkey</a> (<a href="/facts/Common_era/e5DpqUoe">common era</a> years; Gregorian dates in use since 1917 Ottoman adoption)</td></tr><tr><td>2016</td><td><a href="/facts/Saudi_Arabia/uyUpe1J2">Saudi Arabia</a></td></tr></tbody></table>
<h2 id="difference-between-gregorian-and-julian-calendar-dates">Difference between Gregorian and Julian calendar dates</h2>
Conversion from Julian to Gregorian dates.<a class="footnote-ref" id="fnref:43" href="#fn:43">43</a><table><tbody><tr><th>Gregorian range</th><th>Julian range</th><th>Difference</th></tr><tr><td>From 15 October 1582to 28 February 1700</td><td>From 5 October 1582to 18 February 1700</td><td>10 days</td></tr><tr><td>From 1 March 1700to 28 February 1800</td><td>From 19 February 1700to 17 February 1800</td><td>11 days</td></tr><tr><td>From 1 March 1800to 28 February 1900</td><td>From 18 February 1800to 16 February 1900</td><td>12 days</td></tr><tr><td>From 1 March 1900to 28 February 2100</td><td>From 17 February 1900to 15 February 2100</td><td>13 days</td></tr><tr><td>From 1 March 2100to 28 February 2200</td><td>From 16 February 2100to 14 February 2200</td><td>14 days</td></tr></tbody></table>
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 <a href="/facts/Middle_Ages/RqzEKB9v">Middle Ages</a>. The Gregorian calendar is <a href="/facts/Proleptic_Gregorian_calendar/168ukkHr">proleptic</a> before 1582 (calculated backwards on 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 the Gregorian calendar.<a class="footnote-ref" id="fnref:44" href="#fn:44">44</a>

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}
 
 is the year using <a href="/facts/Astronomical_year_numbering/y8s6b29w">astronomical year numbering</a>, 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 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.<a class="footnote-ref" id="fnref:45" href="#fn:45">45</a><a class="footnote-ref" id="fnref:46" href="#fn:46">46</a>

<h2 id="beginning-of-the-year">Beginning of the year</h2>
<table><tbody><tr><th>Country</th><th>Start numbered yearon 1 January</th><th>Adoption ofGregorian calendar</th></tr><tr><td><a href="/facts/Roman_Republic/Han0FRLT">Roman Republic</a>,<a href="/facts/Roman_Empire/l4E1aUuV">Roman Empire</a></td><td>153 BC</td><td></td></tr><tr><td>Denmark</td><td>Gradual change from13th to 16th centuries<a class="footnote-ref" id="fnref:47" href="#fn:47">47</a></td><td>1700</td></tr><tr><td><a href="/facts/Republic_of_Venice/5aqUw6gJ">Republic of Venice</a></td><td>1522</td><td>1582</td></tr><tr><td><a href="/facts/Papal_States/536PqTjo">Papal States</a></td><td>1583</td><td>1582</td></tr><tr><td><a href="/facts/Holy_Roman_Empire/6mdobnXN">Holy Roman Empire</a>(Catholic states)</td><td>1544</td><td>1583</td></tr><tr><td>Spain, Poland, Portugal</td><td>1556<a class="footnote-ref" id="fnref:48" href="#fn:48">48</a></td><td>1582</td></tr><tr><td><a href="/facts/Holy_Roman_Empire/6mdobnXN">Holy Roman Empire</a>(Protestant states)</td><td>1559</td><td>1700<a class="footnote-ref" id="fnref:49" href="#fn:49">49</a></td></tr><tr><td>Sweden</td><td>1559<a class="footnote-ref" id="fnref:50" href="#fn:50">50</a></td><td>1753</td></tr><tr><td>France</td><td>1564<a class="footnote-ref" id="fnref:51" href="#fn:51">51</a></td><td>1582<a class="footnote-ref" id="fnref:52" href="#fn:52">52</a></td></tr><tr><td><a href="/facts/Southern_Netherlands/RLuYsmSH">Southern Netherlands</a></td><td>1576<a class="footnote-ref" id="fnref:53" href="#fn:53">53</a></td><td>1582</td></tr><tr><td><a href="/facts/Lorraine_(province)/5paE5VBE">Lorraine</a></td><td>1579<a class="footnote-ref" id="fnref:54" href="#fn:54">54</a></td><td>1582<a class="footnote-ref" id="fnref:55" href="#fn:55">55</a></td></tr><tr><td><a href="/facts/Dutch_Republic/PlxBXbKF">Netherlands</a></td><td>1583<a class="footnote-ref" id="fnref:56" href="#fn:56">56</a></td><td>1582</td></tr><tr><td><a href="/facts/Scotland/VGwbbxB2">Scotland</a></td><td>1600<a class="footnote-ref" id="fnref:57" href="#fn:57">57</a><a class="footnote-ref" id="fnref:58" href="#fn:58">58</a></td><td>1752</td></tr><tr><td>Russia</td><td>1700<a class="footnote-ref" id="fnref:59" href="#fn:59">59</a></td><td>1918</td></tr><tr><td><a href="/facts/Grand_Duchy_of_Tuscany/4IbKfzCY">Tuscany</a></td><td>1750<a class="footnote-ref" id="fnref:60" href="#fn:60">60</a></td><td>1582<a class="footnote-ref" id="fnref:61" href="#fn:61">61</a></td></tr><tr><td><a href="/facts/Kingdom_of_Great_Britain/5yBEtQIt">Great Britain</a> andthe <a href="/facts/British_Empire/hrsz0j7A">British Empire</a>except Scotland</td><td>1752<a class="footnote-ref" id="fnref:62" href="#fn:62">62</a></td><td>1752</td></tr></tbody></table>
The year used in dates during the <a href="/facts/Roman_Republic/Han0FRLT">Roman Republic</a> and the <a href="/facts/Roman_Empire/l4E1aUuV">Roman Empire</a> 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.<a class="footnote-ref" id="fnref:63" href="#fn:63">63</a> The Julian calendar, which began in 45 BC, continued to use 1 January as the first day of the <a href="/facts/New_year/9KAPDxn6">new year</a>. Even though the year used for dates changed, the civil year always displayed its months in 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 (<a href="/facts/Christmas/EsuI0Gds">Christmas</a>), 25 March (<a href="/facts/Annunciation/Gyq2LXyj">Annunciation</a>), or Easter,<a class="footnote-ref" id="fnref:64" href="#fn:64">64</a> while the Byzantine Empire began its year on 1 September and Russia did so on 1 March until 1492, when the new year was moved to 1 September.<a class="footnote-ref" id="fnref:65" href="#fn:65">65</a>
In common usage, 1 January was regarded as New Year's Day and celebrated as such,<a class="footnote-ref" id="fnref:66" href="#fn:66">66</a> but from the 12th century until 1751 the legal year in England began on 25 March (<a href="/facts/Lady_Day/GNf3Rue1">Lady Day</a>).<a class="footnote-ref" id="fnref:67" href="#fn:67">67</a> So, for example, the Parliamentary record lists the execution of <a href="/facts/Charles_I_of_England/r7IEjNGh">Charles I</a> on 30 January as occurring in 1648 (as the year did not end until 24 March),<a class="footnote-ref" id="fnref:68" href="#fn:68">68</a> although later histories adjust the start of the year to 1 January and record the execution as occurring in 1649.<a class="footnote-ref" id="fnref:69" href="#fn:69">69</a>
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 meant 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 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 <a href="/facts/Calendar_(New_Style)_Act_1750/MqIwkpg7">Calendar (New Style) Act 1750</a>.<a class="footnote-ref" id="fnref:70" href="#fn:70">70</a>
In some countries, an official decree or law specifies that the start of the year should be 1 January. For such countries, a specific date when a "1 January year" became the norm, can be identified.<a class="footnote-ref" id="fnref:71" href="#fn:71">71</a> In other countries, 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 "<a href="/facts/Golden_number_(time)/vFYP0yNb">Golden number</a>" of 1752 ends in December and a new year (and new Golden number) begins in January 1753.<a class="footnote-ref" id="fnref:72" href="#fn:72">72</a>

<h2 id="dual-dating">Dual dating</h2>

Main article: <a href="/facts/Dual_dating/2VnccIlU">Dual dating</a>
During 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, 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 <a href="/facts/John_Dee_(mathematician)/YKm1t4ru">John Dee</a> (1527–1608/9), notes that immediately after 1582 English letter writers "customarily" used "two dates" on their letters, one OS and one NS.<a class="footnote-ref" id="fnref:73" href="#fn:73">73</a>

<h3>Old Style and New Style dates</h3>
Main articles: <a href="/facts/Old_Style_and_New_Style_dates/kb3020Wy">Old Style and New Style dates</a> and <a href="/facts/Calendar_(New_Style)_Act_1750/MqIwkpg7">Calendar (New Style) Act 1750</a> 
"Old Style" (O.S.) and "New Style" (N.S.) indicate dating systems before and after a calendar change, respectively. Usually, this is the change from the <a href="/facts/Julian_calendar/EQBtA1ML">Julian calendar</a> to the Gregorian calendar as enacted in various European countries between 1582 and the early 20th century.
In <a href="/facts/England/U9mE5bGL">England</a>, <a href="/facts/Wales/xa3W6PHH">Wales</a>, <a href="/facts/Ireland/35vYxXdP">Ireland</a>, and Britain's <a href="/facts/Thirteen_Colonies/H50dauTJ">American colonies</a>, there were two calendar changes, both in 1752. The first adjusted the start of a new year from <a href="/facts/Lady_Day/GNf3Rue1">Lady Day</a> (25 March) to 1 January (which <a href="/facts/Scotland/VGwbbxB2">Scotland</a> had done from 1600), while the second discarded the Julian calendar in favour of the Gregorian calendar, removing 11 days from the September 1752 calendar to do so.<a class="footnote-ref" id="fnref:74" href="#fn:74">74</a><a class="footnote-ref" id="fnref:75" href="#fn:75">75</a> To accommodate the two calendar changes, writers used <a href="/facts/Dual_dating/2VnccIlU">dual dating</a> 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 <a href="/facts/Eastern_Orthodox_Church/5n20Akh5">Eastern Orthodox</a> countries continue to use the older Julian calendar for religious purposes.

<h2 id="proleptic-gregorian-calendar">Proleptic Gregorian calendar</h2>
Main article: <a href="/facts/Proleptic_Gregorian_calendar/168ukkHr">Proleptic Gregorian calendar</a>

Extending the Gregorian calendar backwards to dates preceding its official introduction produces <a href="/facts/Proleptic_Gregorian_calendar/168ukkHr">a proleptic calendar</a>, 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, the <a href="/facts/Battle_of_Agincourt/AcNTDvnW">Battle of Agincourt</a> is universally considered to have been fought on 25 October 1415 which is <a href="/facts/Crispin/t65lBzNT">Saint Crispin</a>'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 the Gregorian calendar. For example, the <a href="/facts/Battle_of_Blenheim/ljSHgH5P">Battle of Blenheim</a> is always given as 13 August 1704. Confusion occurs when an event affects both. For example, <a href="/facts/William_III_of_England/x72cM4jw">William III of England</a> set sail from the Netherlands on 11 November 1688 (Gregorian calendar) and arrived at <a href="/facts/Brixham/D5fbQ2DI">Brixham</a> in England on 5 November 1688 (Julian calendar).
<a href="/facts/William_Shakespeare/ohI96JTv">Shakespeare</a> and <a href="/facts/Miguel_de_Cervantes/Whcrx6FI">Cervantes</a> seemingly died on exactly the same date (23 April 1616), but Cervantes predeceased Shakespeare by ten days in real time (as Spain used the Gregorian calendar, but Britain used the Julian calendar). This coincidence encouraged <a href="/facts/UNESCO/QSbkRv3o">UNESCO</a> to make 23 April the <a href="/facts/World_Book_and_Copyright_Day/BylD6xB0">World Book and Copyright Day</a>.
Astronomers avoid this ambiguity by the use of the <a href="/facts/Julian_day_number/mLwtKoYQ">Julian day number</a>.
For dates before the year 1, unlike the proleptic Gregorian calendar used in the <a href="/facts/International_standard/9R3SMtfH">international standard</a> <a href="/facts/ISO_8601/4N8kykG9">ISO 8601</a>, the traditional proleptic Gregorian calendar (like the older Julian calendar) does not have a <a href="/facts/Year_zero/Dur6Tb4o">year 0</a> and instead uses the ordinal numbers 1, 2, ... both for years AD and BC. Thus the traditional timeline 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 timeline is −0001, 0000, 0001, and 0002.

<h2 id="months">Months</h2>
The Gregorian calendar continued to employ the <a href="/facts/Julian_calendar/EQBtA1ML">Julian</a> months, which have Latinate names and irregular numbers of <a href="/facts/Day/MTAtWLDj">days</a>:

<ul><li><a href="/facts/January/ucnblJ9m">January</a> (31 days), from Latin mēnsis Iānuārius, "Month of <a href="/facts/Janus_(mythology)/KRUwyb9m">Janus</a>",<a class="footnote-ref" id="fnref:76" href="#fn:76">76</a> the <a href="/facts/Roman_mythology/sA0FnmbG">Roman god</a> of gates, doorways, beginnings and endings</li>
<li><a href="/facts/February/H5uTaC0d">February</a> (28 days in <a href="/facts/Common_year/41sxtFAx">common</a> and 29 in <a href="/facts/Leap_year/7Vfs3cTg">leap years</a>), from Latin mēnsis Februārius, "Month of the <a href="/facts/Lupercalia/4k4ntf7x">Februa</a>", the <a href="/facts/Roman_festivals/xfrT3fx9">Roman festival</a> of purgation and purification,<a class="footnote-ref" id="fnref:77" href="#fn:77">77</a><a class="footnote-ref" id="fnref:78" href="#fn:78">78</a> <a href="/facts/Cognate_word/nXETf5Y4">cognate</a> with <a href="/facts/Fever/waVxR2Ac">fever</a>,<a class="footnote-ref" id="fnref:79" href="#fn:79">79</a> the <a href="/facts/Etruscan_mythology/Nb3ycMfb">Etruscan</a> <a href="/facts/Death_god/MNeQCew4">death god</a> <a href="/facts/Februus/aF6qhV8E">Februus</a> ("Purifier"), and the <a href="/facts/Proto-Indo-European_language/cVLNoM3p">Proto-Indo-European</a> word for <a href="/facts/Sulfur/IK0amTfM">sulfur</a><a class="footnote-ref" id="fnref:80" href="#fn:80">80</a></li>
<li><a href="/facts/March/11oMY3Hn">March</a> (31 days), from Latin mēnsis Mārtius, "Month of <a href="/facts/Mars_(mythology)/WVcruI6z">Mars</a>",<a class="footnote-ref" id="fnref:81" href="#fn:81">81</a> the Roman <a href="/facts/War_god/xxCosYhH">war god</a><a class="footnote-ref" id="fnref:82" href="#fn:82">82</a></li>
<li><a href="/facts/April/DXqJIRbC">April</a> (30 days), from Latin mēnsis Aprīlis, of uncertain meaning<a class="footnote-ref" id="fnref:83" href="#fn:83">83</a> but usually derived from some form of the verb aperire ("to open")<a class="footnote-ref" id="fnref:84" href="#fn:84">84</a> or the name of the goddess <a href="/facts/Aphrodite/xW0TH9tC">Aphrodite</a><a class="footnote-ref" id="fnref:85" href="#fn:85">85</a><a class="footnote-ref" id="fnref:86" href="#fn:86">86</a></li>
<li><a href="/facts/May/yzCWWNJa">May</a> (31 days), from Latin mēnsis Māius, "Month of <a href="/facts/Maia/s2JLtR4c">Maia</a>",<a class="footnote-ref" id="fnref:87" href="#fn:87">87</a> a Roman <a href="/facts/Vegetation_goddess/6upVEh6m">vegetation goddess</a><a class="footnote-ref" id="fnref:88" href="#fn:88">88</a> whose name is cognate with Latin magnus ("great")<a class="footnote-ref" id="fnref:89" href="#fn:89">89</a> and English major</li>
<li><a href="/facts/June/ylBTBDI7">June</a> (30 days), from Latin mēnsis Iūnius, "Month of <a href="/facts/Juno_(mythology)/6PvC2hmh">Juno</a>",<a class="footnote-ref" id="fnref:90" href="#fn:90">90</a> the Roman goddess of <a href="/facts/Marriage_in_ancient_Rome/b6wdy9mF">marriage</a>, <a href="/facts/Childbirth_goddess/e8xMqyd9">childbirth</a>, and rule<a class="footnote-ref" id="fnref:91" href="#fn:91">91</a></li>
<li>July (31 days), from Latin mēnsis Iūlius, "Month of <a href="/facts/Julius_Caesar/ptR603Gv">Julius Caesar</a>", the month of Caesar's birth, instituted in 44 BC<a class="footnote-ref" id="fnref:92" href="#fn:92">92</a> as part of <a href="/facts/Julian_calendar/EQBtA1ML">his calendrical reforms</a><a class="footnote-ref" id="fnref:93" href="#fn:93">93</a></li>
<li><a href="/facts/August/bH7jHJDg">August</a> (31 days), from Latin mēnsis Augustus, "Month of <a href="/facts/Augustus/RGfMCR2V">Augustus</a>", instituted by Augustus in 8 BC in agreement with July and from the occurrence during the month of several important events during his rise to power<a class="footnote-ref" id="fnref:94" href="#fn:94">94</a></li>
<li><a href="/facts/September/fxhRqowF">September</a> (30 days), from Latin mēnsis september, "seventh month", of the ten-month Roman year of <a href="/facts/Romulus/hkfGLmHv">Romulus</a> c. 750 BC<a class="footnote-ref" id="fnref:95" href="#fn:95">95</a></li>
<li><a href="/facts/October/V2SyT6DS">October</a> (31 days), from Latin mēnsis octōber, "eighth month", of the ten-month Roman year of Romulus c. 750 BC<a class="footnote-ref" id="fnref:96" href="#fn:96">96</a></li>
<li><a href="/facts/November/BTh2CLu7">November</a> (30 days), from Latin mēnsis november, "ninth month", of the ten-month Roman year of Romulus c. 750 BC<a class="footnote-ref" id="fnref:97" href="#fn:97">97</a></li>
<li><a href="/facts/December/8WHgKn1S">December</a> (31 days), from Latin mēnsis december, "tenth month", of the ten-month Roman year of Romulus c. 750 BC<a class="footnote-ref" id="fnref:98" href="#fn:98">98</a></li></ul>
Europeans sometimes attempt to remember the number of days in each month by memorizing some form of the traditional verse "<a href="/facts/Thirty_Days_Hath_September/oIHEjJ1x">Thirty Days Hath September</a>". It appears in Latin,<a class="footnote-ref" id="fnref:99" href="#fn:99">99</a> Italian,<a class="footnote-ref" id="fnref:100" href="#fn:100">100</a> French<a class="footnote-ref" id="fnref:101" href="#fn:101">101</a> and Portuguese,<a class="footnote-ref" id="fnref:102" href="#fn:102">102</a> and belongs to a broad <a href="/facts/Oral_tradition/0hzwefby">oral tradition</a> but the earliest currently attested form of the poem is the English <a href="/facts/Marginalia/HHGWChQn">marginalia</a> inserted into a <a href="/facts/Calendar_of_saints/HIapcqYk">calendar of saints</a> c. 1425:<a class="footnote-ref" id="fnref:103" href="#fn:103">103</a><a class="footnote-ref" id="fnref:104" href="#fn:104">104</a><a class="footnote-ref" id="fnref:105" href="#fn:105">105</a>

<table><tbody><tr><td>Thirti dayes hath novembirApril june and Septembir.Of xxviij is but oonAnd alle the remenaunt xxx and j.<a class="footnote-ref" id="fnref:106" href="#fn:106">106</a></td><td>Thirty days have November,April, June, and September.Of 28 is but oneAnd all the remnant 30 and 1.</td></tr></tbody></table>

Variations appeared in <a href="/facts/Mother_Goose/7u613Ns6">Mother Goose</a> and continue to be taught at schools. The unhelpfulness of such involved <a href="/facts/Mnemonic/6HfDn0ks">mnemonics</a> has been parodied as "Thirty days hath September / But all the rest I can't remember"<a class="footnote-ref" id="fnref:107" href="#fn:107">107</a> but it has also been called "probably the only sixteenth-century poem most ordinary citizens know by heart".<a class="footnote-ref" id="fnref:108" href="#fn:108">108</a> A common nonverbal alternative is the <a href="/facts/Knuckle_mnemonic/KF8by5yH">knuckle mnemonic</a>, considering the <a href="/facts/Knuckle/GJN8SjBp">knuckles</a> of one's <a href="/facts/Hand/0yhW6deV">hands</a> as months with 31 days and the lower spaces between them as months with fewer days. Using two hands, one may start from either <a href="/facts/Pinkie_finger/094Gy4Ra">pinkie</a> knuckle as January and count across, omitting the space between the <a href="/facts/Index_finger/y2MjrVLJ">index</a> knuckles (July and August). The same procedure can be done using the knuckles of a single hand, returning from the last (July) to the first (August) and continuing through. A similar mnemonic is to move up a <a href="/facts/Musical_keyboard/Mz0FGAe4">piano keyboard</a> in <a href="/facts/Semitone/lVBsLYSA">semitones</a> from an F key, taking the white keys as the longer months and the black keys as the shorter ones.

<h2 id="weeks">Weeks</h2>
Main article: <a href="/facts/Seven-day_week/KJjQTKIh">Seven-day week</a>
In conjunction with the system of months, there is a system of <a href="/facts/Week/KJjQTKIh">weeks</a>. A physical or electronic calendar provides conversion from a given date to the <a href="/facts/Weekday/fgSVeIQM">weekday</a> and shows multiple dates for a given weekday and month. <a href="/facts/Calculating_the_day_of_the_week/D8FMPb9K">Calculating the day of the week</a> is not very simple, because of the irregularities in the Gregorian system. When the Gregorian calendar was adopted by each country, the weekly cycle continued uninterrupted. For example, in the case of the few countries that adopted the reformed calendar on the date proposed by Gregory XIII for the calendar's adoption, Friday, 15 October 1582, the preceding date was Thursday, 4 October 1582 (Julian calendar).
Opinions vary about the numbering of the days of the week. <a href="/facts/ISO_8601/4N8kykG9">ISO 8601</a>, in common use worldwide, starts with Monday=1; printed monthly calendar grids often list Mondays in the first (left) column of dates and Sundays in the last. In North America, the week typically begins on Sunday and ends on Saturday.

<h2 id="accuracy">Accuracy</h2>
The Gregorian calendar improves the approximation made by the Julian calendar by skipping three Julian leap days in every 400 years, giving an average year of 365.2425 <a href="/facts/Solar_time/aYq9JqwI">mean solar days</a> long.<a class="footnote-ref" id="fnref:109" href="#fn:109">109</a> This approximation has an error of about one day per 3,030 years<a class="footnote-ref" id="fnref:110" href="#fn:110">110</a> with respect to the current value of the <a href="/facts/Mean_tropical_year/ASBLWNMY">mean tropical year</a>. However, because of the <a href="/facts/Axial_precession_(astronomy)/NQ79x3m3">precession of the equinoxes</a>, which is not constant, and the movement of the <a href="/facts/Perihelion/VaL6ow9w">perihelion</a> (which affects the Earth's orbital speed) the error with respect to the astronomical vernal equinox is variable; using the average interval between vernal equinoxes near 2000 of 365.24237 days<a class="footnote-ref" id="fnref:111" href="#fn:111">111</a> implies an error closer to 1 day every 7,700 years. By any criterion, the Gregorian calendar is substantially more accurate than the 1 day in 128 years error of the Julian calendar (average year 365.25 days).
In the 19th century, Sir <a href="/facts/John_Herschel/Hcg9pFEp">John Herschel</a> proposed a modification to the Gregorian calendar with 969 leap days every 4,000 years, instead of 970 leap days that the Gregorian calendar would insert over the same period.<a class="footnote-ref" id="fnref:112" href="#fn:112">112</a> This would reduce the average year to 365.24225 days. Herschel's proposal would make the year 4000, and multiples thereof, common instead of leap. While this modification has often been proposed since, it has never been officially adopted.<a class="footnote-ref" id="fnref:113" href="#fn:113">113</a>
On time scales of thousands of years, the Gregorian calendar falls behind the astronomical seasons. This is because <a href="/facts/Earth%2527s_rotation/mDbXcKUx">the Earth's speed of rotation is gradually slowing down</a>, which makes each day slightly longer over time (see <a href="/facts/Tidal_acceleration/PwDTMyjb">tidal acceleration</a> and <a href="/facts/Leap_second/HQQ0X0hn">leap second</a>) while the year maintains a more uniform duration.

<h3>Calendar seasonal error</h3>
This image shows the difference between the Gregorian calendar and the astronomical seasons.
The y-axis is the date of the solstice in June and the x-axis is Gregorian calendar years.
Each point is the date and time of the <a href="/facts/Solstice/3vEDtAhg">June solstice</a> in that particular year. The error shifts by about a quarter of a day per year. Centurial years are ordinary years, unless they are divisible by 400, in which case they are leap years. This causes a correction in the years 1700, 1800, 1900, 2100, 2200, and 2300.
For instance, these corrections cause 23 December 1903 to be the latest December solstice, and 20 December 2096 to be the earliest solstice—about 2.35 days of variation compared with the astronomical event.

<h2 id="proposed-reforms">Proposed reforms</h2>
The following are <a href="/facts/Calendar_reform/UqJwaDvD">proposed reforms</a> of the Gregorian calendar:

<ul><li><a href="/facts/Holocene_calendar/nnTbmTBY">Holocene calendar</a></li>
<li><a href="/facts/International_Fixed_Calendar/uzFHHfH1">International Fixed Calendar</a> (also called the International Perpetual calendar)</li>
<li><a href="/facts/World_Calendar/qPjpApIB">World Calendar</a></li>
<li><a href="/facts/World_Season_Calendar/11oRajCj">World Season Calendar</a></li>
<li><a href="/facts/Leap_week_calendar/NutvWDtI">Leap week calendars</a>
<ul><li><a href="/facts/Pax_Calendar/z88xHrnu">Pax Calendar</a></li>
<li><a href="/facts/Symmetry454/rVhtzRp5">Symmetry454</a></li>
<li><a href="/facts/Hanke%25E2%2580%2593Henry_Permanent_Calendar/dgjF3Y8m">Hanke–Henry Permanent Calendar</a></li></ul></li></ul>
<h2 id="see-also">See also</h2>
<ul>
<li>Christianity portal</li></ul>
<ul><li><a href="/facts/Anno_Domini/NmQwnQNj">Anno Domini</a> – Modern calendar era</li>
<li><a href="/facts/Calendar_(New_Style)_Act_1750/MqIwkpg7">Calendar (New Style) Act 1750</a> – British statute adopting the Gregorian calendar</li>
<li><a href="/facts/Calendar_reform/UqJwaDvD">Calendar reform</a> – Significant revision of a calendar system</li>
<li><a href="/facts/Common_Era/e5DpqUoe">Common Era</a> – Modern calendar era</li>
<li><a href="/facts/Conversion_between_Julian_and_Gregorian_calendars/bFJFxQh0">Conversion between Julian and Gregorian calendars</a></li>
<li><a href="/facts/Doomsday_rule/5TXr6fsc">Doomsday rule</a> – Way of calculating the day of the week of a given date</li>
<li><a href="/facts/French_revolutionary_calendar/orIoRTpp">French revolutionary calendar</a> – Calendar used in Revolutionary France from 1793 to 1805Pages displaying short descriptions of redirect targets</li>
<li><a href="/facts/Hebrew_calendar/s5XBFz4h">Hebrew calendar</a> – Lunisolar calendar used for Jewish religious observances</li>
<li><a href="/facts/Dionysius_Exiguus/RUJ6gTwj">Dionysius Exiguus</a> – Byzantine saint (c. 470 – c. 544)</li>
<li>Inter gravissimas in English – Wikisource</li>
<li><a href="/facts/Julian_day/mLwtKoYQ">Julian day</a> – Days since the beginning of the Julian Period</li>
<li><a href="/facts/History_of_calendars/3YGQRh8s">History of calendars</a></li>
<li><a href="/facts/ISO_8601/4N8kykG9">ISO 8601</a> – International standards for dates and times</li>
<li><a href="/facts/List_of_adoption_dates_of_the_Gregorian_calendar_by_country/C2DM9yAP">List of adoption dates of the Gregorian calendar by country</a></li>
<li><a href="/facts/List_of_calendars/636DNuCv">List of calendars</a></li>
<li><a href="/facts/Old_Calendarists/kaaq8Jhh">Old Calendarists</a> – Group of traditionalist Eastern Orthodox bodies
<ul><li><a href="/facts/Greek_Old_Calendarists/SQKK6PCk">Greek Old Calendarists</a> – Group of traditionalist Eastern Orthodox bodiesPages displaying short descriptions of redirect targets</li></ul></li>
<li><a href="/facts/Revised_Julian_calendar/a8tupmG2">Revised Julian calendar</a> – Calendar used by some Eastern Orthodox churches</li></ul>
Precursors of the Gregorian reform

<ul><li><a href="/facts/Johannes_de_Sacrobosco/YA38Ltto">Johannes de Sacrobosco</a>, De Anni Ratione ("On reckoning the years"), c. 1235</li>
<li><a href="/facts/Roger_Bacon/p1kvowog">Roger Bacon</a>, <a href="/facts/Opus_Majus/M3DVIL9R">Opus Majus</a> ("Greater Work"), c. 1267</li></ul>
<h2 id="notes">Notes</h2>

<h2 id="citations">Citations</h2>

<ul><li>Blackburn, Bonnie; Holford-Strevens, Leofranc (1999). <a href="https://archive.org/details/oxfordcompaniont00blac">The Oxford Companion to the Year</a>. Oxford University Press. <a href="/facts/ISBN_(identifier)/15AdSPa9">ISBN</a> 9780192142313..</li>
<li>Blegen, Carl W. (25 December 2013). Vogeikoff-Brogan, Natalia (ed.). <a href="https://nataliavogeikoff.com/2013/12/25/an-odd-christmas-or-the-christmasless-year-of-1923-in-greece/">"An Odd Christmas"</a>. From the Archivist's Notebook. Retrieved 1 April 2018.</li>
<li><a href="/facts/John_James_Bond/T6aFHxqD">Bond, John James</a> (1875). <a href="https://archive.org/details/handybookofrules00inbond/page/91/mode/2up">"Commencement of the Year, on the 1st of January or otherwise, and adoption of the Gregorian Calendar"</a>. Handy Book of Rules and Tables for Verifying Dates With the Christian Era Giving an Account of the Chief Eras and Systems Used by Various Nations... London: George Bell & Sons.</li>
<li>Carabias Torres, A. M (2012). Salamanca y la medida del tiempo (in Spanish). Salamanca: Ediciones Universidad de Salamanca.</li>
<li><a href="/facts/Nachum_Dershowitz/WyyUeW3s">Dershowitz, D.</a>; <a href="/facts/Edward_Reingold/W1DyyVl5">Reingold, E. M</a> (2008). <a href="/facts/Calendrical_Calculations/n5l7eR2v">Calendrical Calculations</a> (3rd ed.). Cambridge: Cambridge University Press.</li>
<li><a href="/facts/Gregory_XIII/oxlp2zDf">Gregory XIII</a> (1582). <a href="https://en.wikisource.org/wiki/Translation:Inter_gravissimas">Inter Gravissimas</a> [Amongst the most serious tasks of our pastoral office]. Translated by Wikisource.</li>
<li><a href="/facts/Jean_Meeus/geUlMyB0">Meeus, J.</a>; Savoie, D. (1992). <a href="http://adsabs.harvard.edu/abs/1992JBAA..102...40M">"The history of the tropical year"</a>. Journal of the British Astronomical Association. 102 (1): 40–42. <a href="/facts/Bibcode_(identifier)/9HtdQSGB">Bibcode</a>:<a href="https://ui.adsabs.harvard.edu/abs/1992JBAA..102...40M">1992JBAA..102...40M</a>.</li>
<li>Moyer, Gordon (1983). Coyne, G. V.; Hoskin, M. A.; Pedersen, O. (eds.). <a href="http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?journal=grc..&year=1983&volume=book&page_ind=181">Aloisius Lilius and the Compendium Novae Rationis Restituendi Kalendarium</a>. Gregorian Reform of the Calendar: Proceedings of the Vatican Conference to Commemorate its 400th Anniversary. Vatican City: Pontifical Academy of Sciences, Specolo Vaticano. pp. 171–188.</li>
<li><a href="/facts/Robert_Poole_(historian)/Xe2h77qV">Poole, Robert</a> (1995). <a href="https://insight.cumbria.ac.uk/id/eprint/684/1/Poole_GiveUsOurEleven.pdf">"'Give us our eleven days!': calendar reform in eighteenth-century England"</a> (PDF). Past & Present (149). <a href="/facts/Oxford_Academic/CYyTzzWG">Oxford Academic</a>: 95–139. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1093%2Fpast%2F149.1.95">10.1093/past/149.1.95</a>. <a href="/facts/JSTOR_(identifier)/YTeVmaJ7">JSTOR</a> <a href="https://www.jstor.org/stable/651100">651100</a>. Retrieved 4 December 2020.</li>
<li>Richards, E. G. (1998). Mapping Time: The Calendar and its History. Oxford University Press. <a href="/facts/Bibcode_(identifier)/9HtdQSGB">Bibcode</a>:<a href="https://ui.adsabs.harvard.edu/abs/1998mtch.book.....R">1998mtch.book.....R</a>.</li>
<li>Richards, E. G. (2013). "Calendars". In Urban, S. E.; Seidelmann, P. K. (eds.). Explanatory Supplement to the Astronomical Almanac (3rd ed.). Mill Valley CA: University Science Books. pp. 585–624. <a href="/facts/ISBN_(identifier)/15AdSPa9">ISBN</a> 978-1-891389-85-6.</li>
<li>Seidelmann, P. K., ed. (1992). Explanatory Supplement to the Astronomical Almanac (2nd ed.). Sausalito, CA: University Science Books. <a href="/facts/Bibcode_(identifier)/9HtdQSGB">Bibcode</a>:<a href="https://ui.adsabs.harvard.edu/abs/1992esaa.book.....S">1992esaa.book.....S</a>.</li>
<li>Swerdlow, N. M. (1986). <a href="http://adsabs.harvard.edu/abs/1986JHA....17..109S">"The Length of the Year in the Original Proposal for the Gregorian Calendar"</a>. Journal for the History of Astronomy. 17 (49): 109–118. <a href="/facts/Bibcode_(identifier)/9HtdQSGB">Bibcode</a>:<a href="https://ui.adsabs.harvard.edu/abs/1986JHA....17..109S">1986JHA....17..109S</a>. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1177%2F002182868601700204">10.1177/002182868601700204</a>. <a href="/facts/S2CID_(identifier)/ldJsHa2Y">S2CID</a> <a href="https://api.semanticscholar.org/CorpusID:118491152">118491152</a>.</li>
<li>Walker, G. W. (June 1945). <a href="http://adsabs.harvard.edu/full/1945PA.....53..218W">"Easter Intervals"</a>. Popular Astronomy. Vol. 53, no. 6. pp. 162–178, 218–232. <a href="/facts/Bibcode_(identifier)/9HtdQSGB">Bibcode</a>:<a href="https://ui.adsabs.harvard.edu/abs/1945PA.....53..218W">1945PA.....53..218W</a>.</li>
<li>Ziggelaar, A. (1983). Coyne, G. V.; Hoskin, M. A.; Pedersen, O. (eds.). <a href="http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?journal=grc..&year=1983&volume=book&page_ind=209">The Papal Bull of 1582 Promulgating a Reform of the Calendar</a>. Gregorian Reform of the Calendar: Proceedings of the Vatican Conference to Commemorate its 400th Anniversary. Vatican City: Pontifical Academy of Sciences, Specolo Vaticano. pp. 201–239.</li></ul>

<h2 id="further-reading">Further reading</h2>

<ul><li>Barsoum, Ignatius A. (2003). <a href="https://archive.org/details/EphremBarsoumMattiMoosaTheScatteredPearlsAHistoryOfSyriacLiteratureAndSciences/page/n13/mode/2up?q=Gregorian">The Scattered Pearls: A History Of Syriac Literature And Sciences</a>. Piscataway: Georgias Press.</li>
<li>Borkowski, K. M. (1991). <a href="http://articles.adsabs.harvard.edu//full/1991JRASC..85..121B/0000125.000.html">"The tropical calendar and solar year"</a>. Journal of the Royal Astronomical Society of Canada. 85 (3): 21–130. <a href="/facts/Bibcode_(identifier)/9HtdQSGB">Bibcode</a>:<a href="https://ui.adsabs.harvard.edu/abs/1991JRASC..85..121B">1991JRASC..85..121B</a>.</li>
<li>Coyne, G. V.; Hoskin, M. A.; Pedersen, O., eds. (1983). <a href="https://archive.org/details/GregorianReformOfTheCalendar">Gregorian Reform of the Calendar</a>. Vatican Conference to Commemorate its 400th Anniversary, 1582–1982. Vatican City: Pontifical Academy of Sciences, Vatican Observatory (Pontificia Academia Scientarum, Specola Vaticana).</li>
<li>Duncan, D. E (1999). Calendar: Humanity's Epic Struggle To Determine A True And Accurate Year. HarperCollins. <a href="/facts/ISBN_(identifier)/15AdSPa9">ISBN</a> 9780380793242.</li>
<li>Morrison, L. V.; Stephenson, F. R. (2004). <a href="http://adsabs.harvard.edu/abs/2004JHA....35..327M">"Historical values of the Earth's clock error ΔT and the calculation of eclipses"</a>. Journal for the History of Astronomy. 35, part 3 (120): 327–336. <a href="/facts/Bibcode_(identifier)/9HtdQSGB">Bibcode</a>:<a href="https://ui.adsabs.harvard.edu/abs/2004JHA....35..327M">2004JHA....35..327M</a>. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1177%2F002182860403500305">10.1177/002182860403500305</a>. <a href="/facts/S2CID_(identifier)/ldJsHa2Y">S2CID</a> <a href="https://api.semanticscholar.org/CorpusID:119021116">119021116</a>.</li>
<li>Moyer, Gordon (May 1982). "The Gregorian Calendar". Scientific American. Vol. 246, no. 5. pp. 144–152.</li>
<li>Pedersen, O (1983). Coyne, G. V.; Hoskin, M. A.; Pedersen, O. (eds.). <a href="http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?journal=grc..&year=1983&volume=book&page_ind=34">The Ecclesiastical Calendar and the Life of the Church</a>. Gregorian Reform of the Calendar: Proceedings of the Vatican Conference to Commemorate its 400th Anniversary. Vatican City: Pontifical Academy of Sciences, Specolo Vaticano. pp. 17–74.</li></ul>

<h2 id="external-links">External links</h2>

English <a href="/facts/Wikisource/TrMdylNf">Wikisource</a> has original text related to this article:
Inter gravissimasin English

<ul><li><a href="https://www.bbc.co.uk/programmes/p00548m9">Gregorian calendar</a> on <a href="/facts/In_Our_Time_(radio_series)/UuCUdLfM">In Our Time</a> at the <a href="/facts/BBC/qFateIz8">BBC</a></li>
<li><a href="http://www.fourmilab.ch/documents/calendar/">Calendar Converter</a></li>
<li><a href="http://www.bluewaterarts.com/calendar/NewInterGravissimas.htm">Inter Gravissimas</a> (in Latin, French, and English)</li>
<li><a href="http://webexhibits.org/calendars/year-history.html">History of Gregorian Calendar</a> <a href="https://web.archive.org/web/20140106001448/http://www.webexhibits.org/calendars/year-history.html">Archived</a> 6 January 2014 at the <a href="/facts/Wayback_Machine/nmQ3a6JC">Wayback Machine</a></li>
<li><a href="http://www.norbyhus.dk/calendar.php">The Perpetual Calendar Gregorian Calendar adoption dates for many countries. </a></li>
<li><a href="http://www.recordholders.org/en/records/dates.html">World records for mentally calculating the day of the week in the Gregorian Calendar </a></li>
<li><a href="https://web.archive.org/web/20051228123115/http://www.tondering.dk/claus/calendar.html">The Calendar FAQ</a> – Frequently Asked Questions about Calendars</li>
<li><a href="http://curiousnotions.com/todays-date">Today's date (Gregorian) in over 800 more-or-less obscure foreign languages</a> <a href="https://web.archive.org/web/20230308031826/https://curiousnotions.com/todays-date/">Archived</a> 8 March 2023 at the <a href="/facts/Wayback_Machine/nmQ3a6JC">Wayback Machine</a></li></ul>

<h2 id="references">References</h2>

<ol>
<li id="fn:1">Dershowitz & Reingold (2008), p. 45. "The calendar in use today in most of the world is the Gregorian or new-style calendar designed by a commission assembled by Pope Gregory XIII in the sixteenth century.". - Dershowitz, D.; Reingold, E. M (2008). Calendrical Calculations (3rd ed.). Cambridge: Cambridge University Press. <a href="#fnref:1" class="footnote-back-ref">↩</a></li>
<li id="fn:2">Many countries that use other calendars for religious purposes use the Gregorian calendar as their civil calendar. Iran is a notable exception, in that it uses the solar Hijri calendar. <a href="/wiki/Civil_calendar" target="_blank">/wiki/Civil_calendar</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></li>
<li id="fn:3">"Introduction to Calendars". United States Naval Observatory. n.d. Retrieved 9 May 2022. <a href="https://aa.usno.navy.mil/faq/calendars" target="_blank">https://aa.usno.navy.mil/faq/calendars</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></li>
<li id="fn:4">Gregory XIII (1582). - Gregory XIII (1582). Inter Gravissimas [Amongst the most serious tasks of our pastoral office]. Translated by Wikisource. <a href="https://en.wikisource.org/wiki/Translation:Inter_gravissimas" target="_blank">https://en.wikisource.org/wiki/Translation:Inter_gravissimas</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></li>
<li id="fn:5">Rather than 45 BC when the Roman Empire adopted the Julian calendar. <a href="#fnref:5" class="footnote-back-ref">↩</a></li>
<li id="fn:6">By the time Great Britain and its possessions adopted the reform with effect from 1752, the gap had increased to 11 days; when Russia and Greece did so (for their civil calendars) in the 20th century, the jump was 13 days. For other countries and territories, see List of adoption dates of the Gregorian calendar by country. <a href="/wiki/Calendar_(New_Style)_Act_1750" target="_blank">/wiki/Calendar_(New_Style)_Act_1750</a> <a href="#fnref:6" class="footnote-back-ref">↩</a></li>
<li id="fn:7">Gregory XIII (1582). - Gregory XIII (1582). Inter Gravissimas [Amongst the most serious tasks of our pastoral office]. Translated by Wikisource. <a href="https://en.wikisource.org/wiki/Translation:Inter_gravissimas" target="_blank">https://en.wikisource.org/wiki/Translation:Inter_gravissimas</a> <a href="#fnref:7" class="footnote-back-ref">↩</a></li>
<li id="fn:8">Applebaum, Wilbur (2000). "Clavius, Christoph (1538-1612)". Encyclopedia of the Scientific Revolution: From Copernicus to Newton. Garland Publishing. ISBN 0-8153-1503-1. <a href="0-8153-1503-1" target="_blank">0-8153-1503-1</a> <a href="#fnref:8" class="footnote-back-ref">↩</a></li>
<li id="fn:9">called such to avoid any suggestion of recognising the authority of Rome. The British Calendar (New Style) Act 1750 restates the algorithm from first principles without any reference to Gregory. <a href="/wiki/Calendar_(New_Style)_Act_1750" target="_blank">/wiki/Calendar_(New_Style)_Act_1750</a> <a href="#fnref:9" class="footnote-back-ref">↩</a></li>
<li id="fn:10">Blegen (2013). - Blegen, Carl W. (25 December 2013). Vogeikoff-Brogan, Natalia (ed.). "An Odd Christmas". From the Archivist's Notebook. Retrieved 1 April 2018. <a href="https://nataliavogeikoff.com/2013/12/25/an-odd-christmas-or-the-christmasless-year-of-1923-in-greece/" target="_blank">https://nataliavogeikoff.com/2013/12/25/an-odd-christmas-or-the-christmasless-year-of-1923-in-greece/</a> <a href="#fnref:10" class="footnote-back-ref">↩</a></li>
<li id="fn:11">Richards (1998), p. 101. - Richards, E. G. (1998). Mapping Time: The Calendar and its History. Oxford University Press. Bibcode:1998mtch.book.....R. <a href="https://ui.adsabs.harvard.edu/abs/1998mtch.book.....R" target="_blank">https://ui.adsabs.harvard.edu/abs/1998mtch.book.....R</a> <a href="#fnref:11" class="footnote-back-ref">↩</a></li>
<li id="fn:12">Clause 3.2.1 ISO 8601 <a href="/wiki/ISO_8601" target="_blank">/wiki/ISO_8601</a> <a href="#fnref:12" class="footnote-back-ref">↩</a></li>
<li id="fn:13">The cycle described applies to the solar, or civil, calendar. If one also considers the ecclesiastical lunar rules, the lunisolar Easter computus cycle repeats only after 5,700,000 years of 2,081,882,250 days in 70,499,183 lunar months, based on an assumed mean lunar month of 29 days 12 hours 44 minutes ⁠2+49928114/70499183⁠ seconds. (Seidelmann (1992), p. 582) [To properly function as an Easter computus, this lunisolar cycle must have the same mean year as the Gregorian solar cycle, and indeed that is exactly the case.] <a href="/wiki/Computus" target="_blank">/wiki/Computus</a> <a href="#fnref:13" class="footnote-back-ref">↩</a></li>
<li id="fn:14">The extreme length of the Gregorian Easter computus is due to its being the product of the 19-year Metonic cycle, the thirty different possible values of the epact, and the least common multiple (10,000) of the 400-year and 2,500-year solar and lunar correction cycles.[8] <a href="/wiki/Metonic_cycle" target="_blank">/wiki/Metonic_cycle</a> <a href="#fnref:14" class="footnote-back-ref">↩</a></li>
<li id="fn:15">The same result is obtained by summing the fractional parts implied by the rule: 365 + ⁠1/4⁠ − ⁠1/100⁠ + ⁠1/400⁠ = 365 + 0.25 − 0.01 + 0.0025 = 365.2425 <a href="#fnref:15" class="footnote-back-ref">↩</a></li>
<li id="fn:16">Gregory XIII (1582). - Gregory XIII (1582). Inter Gravissimas [Amongst the most serious tasks of our pastoral office]. Translated by Wikisource. <a href="https://en.wikisource.org/wiki/Translation:Inter_gravissimas" target="_blank">https://en.wikisource.org/wiki/Translation:Inter_gravissimas</a> <a href="#fnref:16" class="footnote-back-ref">↩</a></li>
<li id="fn:17">The last major Christian region to accept the Alexandrian rules was the Carolingian Empire (most of Western Europe) during 780–800. The last monastery in England to accept the Alexandrian rules did so in 931, and a few churches in southwest Asia beyond the eastern border of the Byzantine Empire continued to use rules that differed slightly, causing four dates for Easter to differ every 532 years. <a href="/wiki/Carolingian_Empire" target="_blank">/wiki/Carolingian_Empire</a> <a href="#fnref:17" class="footnote-back-ref">↩</a></li>
<li id="fn:18">Richards (2013), p. 599. - Richards, E. G. (2013). "Calendars". In Urban, S. E.; Seidelmann, P. K. (eds.). Explanatory Supplement to the Astronomical Almanac (3rd ed.). Mill Valley CA: University Science Books. pp. 585–624. ISBN 978-1-891389-85-6. <a href="#fnref:18" class="footnote-back-ref">↩</a></li>
<li id="fn:19">Ben-Menahem, Ari (2009). Historical Encyclopedia of Natural and Mathematical Sciences. Vol. 1. Springer. p. 863. ISBN 9783540688310. <a href="9783540688310" target="_blank">9783540688310</a> <a href="#fnref:19" class="footnote-back-ref">↩</a></li>
<li id="fn:20">Carabias Torres (2012), p. 241. - Carabias Torres, A. M (2012). Salamanca y la medida del tiempo (in Spanish). Salamanca: Ediciones Universidad de Salamanca. <a href="#fnref:20" class="footnote-back-ref">↩</a></li>
<li id="fn:21">Ziggelaar (1983), pp. 211, 214. - Ziggelaar, A. (1983). Coyne, G. V.; Hoskin, M. A.; Pedersen, O. (eds.). The Papal Bull of 1582 Promulgating a Reform of the Calendar. Gregorian Reform of the Calendar: Proceedings of the Vatican Conference to Commemorate its 400th Anniversary. Vatican City: Pontifical Academy of Sciences, Specolo Vaticano. pp. 201–239. <a href="http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?journal=grc..&year=1983&volume=book&page_ind=209" target="_blank">http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?journal=grc..&year=1983&volume=book&page_ind=209</a> <a href="#fnref:21" class="footnote-back-ref">↩</a></li>
<li id="fn:22">Moyer (1983). - Moyer, Gordon (1983). Coyne, G. V.; Hoskin, M. A.; Pedersen, O. (eds.). Aloisius Lilius and the Compendium Novae Rationis Restituendi Kalendarium. Gregorian Reform of the Calendar: Proceedings of the Vatican Conference to Commemorate its 400th Anniversary. Vatican City: Pontifical Academy of Sciences, Specolo Vaticano. pp. 171–188. <a href="http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?journal=grc..&year=1983&volume=book&page_ind=181" target="_blank">http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?journal=grc..&year=1983&volume=book&page_ind=181</a> <a href="#fnref:22" class="footnote-back-ref">↩</a></li>
<li id="fn:23">See, for example, Tabule illustrissimi principis regis alfonsii (Prague 1401−4). A full set of Alphonsine Tables (including tables for mean motions, conjunctions of Sun and Moon, equation of time, spherical astronomy, longitudes and latitudes of cities, star tables, eclipse tables).[14] For an example of the information provided see Jacques Cassini, Tables astronomiques du soleil, de la lune, des planètes, des étoiles fixes, et des satellites de Jupiter et de Saturne, Table III.[15] <a href="#fnref:23" class="footnote-back-ref">↩</a></li>
<li id="fn:24">Dreyer, J L E (2014). Tycho Brahe. Cambridge: Cambridge University Press. p. 52. ISBN 978-1-108-06871-0. He remarks that both the Alphonsine and the Prutenic Tables are several hours wrong with regard to the time of the equinoxes and solstices. <a href="978-1-108-06871-0" target="_blank">978-1-108-06871-0</a> <a href="#fnref:24" class="footnote-back-ref">↩</a></li>
<li id="fn:25">North, J (1989). The Universal frame: historical essays in astronomy, natural philosophy and scientific method. London. p. 29. ISBN 978-0-907628-95-8. He noted on one occasion that the Alphonsine tables differed from the Prutenic by nineteen hours as to the time of the vernal equinox of 1588.{{cite book}}: CS1 maint: location missing publisher (link) <a href="978-0-907628-95-8" target="_blank">978-0-907628-95-8</a> <a href="#fnref:25" class="footnote-back-ref">↩</a></li>
<li id="fn:26">For an explanation of this notation, see Sexagesimal#Notations. <a href="/wiki/Sexagesimal#Notations" target="_blank">/wiki/Sexagesimal#Notations</a> <a href="#fnref:26" class="footnote-back-ref">↩</a></li>
<li id="fn:27">Swerdlow (1986). - Swerdlow, N. M. (1986). "The Length of the Year in the Original Proposal for the Gregorian Calendar". Journal for the History of Astronomy. 17 (49): 109–118. Bibcode:1986JHA....17..109S. doi:10.1177/002182868601700204. S2CID 118491152. <a href="http://adsabs.harvard.edu/abs/1986JHA....17..109S" target="_blank">http://adsabs.harvard.edu/abs/1986JHA....17..109S</a> <a href="#fnref:27" class="footnote-back-ref">↩</a></li>
<li id="fn:28">Meeus & Savoie (1992). - Meeus, J.; Savoie, D. (1992). "The history of the tropical year". Journal of the British Astronomical Association. 102 (1): 40–42. Bibcode:1992JBAA..102...40M. <a href="http://adsabs.harvard.edu/abs/1992JBAA..102...40M" target="_blank">http://adsabs.harvard.edu/abs/1992JBAA..102...40M</a> <a href="#fnref:28" class="footnote-back-ref">↩</a></li>
<li id="fn:29">Moyer (1983). - Moyer, Gordon (1983). Coyne, G. V.; Hoskin, M. A.; Pedersen, O. (eds.). Aloisius Lilius and the Compendium Novae Rationis Restituendi Kalendarium. Gregorian Reform of the Calendar: Proceedings of the Vatican Conference to Commemorate its 400th Anniversary. Vatican City: Pontifical Academy of Sciences, Specolo Vaticano. pp. 171–188. <a href="http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?journal=grc..&year=1983&volume=book&page_ind=181" target="_blank">http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?journal=grc..&year=1983&volume=book&page_ind=181</a> <a href="#fnref:29" class="footnote-back-ref">↩</a></li>
<li id="fn:30">Richards (2013), p. 599. - Richards, E. G. (2013). "Calendars". In Urban, S. E.; Seidelmann, P. K. (eds.). Explanatory Supplement to the Astronomical Almanac (3rd ed.). Mill Valley CA: University Science Books. pp. 585–624. ISBN 978-1-891389-85-6. <a href="#fnref:30" class="footnote-back-ref">↩</a></li>
<li id="fn:31">Ziggelaar (1983), p. 220. - Ziggelaar, A. (1983). Coyne, G. V.; Hoskin, M. A.; Pedersen, O. (eds.). The Papal Bull of 1582 Promulgating a Reform of the Calendar. Gregorian Reform of the Calendar: Proceedings of the Vatican Conference to Commemorate its 400th Anniversary. Vatican City: Pontifical Academy of Sciences, Specolo Vaticano. pp. 201–239. <a href="http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?journal=grc..&year=1983&volume=book&page_ind=209" target="_blank">http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?journal=grc..&year=1983&volume=book&page_ind=209</a> <a href="#fnref:31" class="footnote-back-ref">↩</a></li>
<li id="fn:32">"New Almanac according to the new reform for the correction of the year, [as] reformed by His Holiness Gregory XIII". <a href="#fnref:32" class="footnote-back-ref">↩</a></li>
<li id="fn:33">Mezzi, E.; Vizza, F. (2010). Luigi Lilio Medico Astronomo e Matematico di Cirò. Reggio Calabria: Laruffa Editore. pp. 14, 52. ISBN 9788872214817. citing as primary references: Biblioteca Nazionale Centrale di Firenze, Magl. 5.10.5/a, Vatican Apostolic Archive A.A., Arm. I‑XVIII, 5506, f. 362r. <a href="9788872214817" target="_blank">9788872214817</a> <a href="#fnref:33" class="footnote-back-ref">↩</a></li>
<li id="fn:34">Kamen, Henry (1998). Philip of Spain. Yale University Press. p. 248. ISBN 978-0300078008. <a href="978-0300078008" target="_blank">978-0300078008</a> <a href="#fnref:34" class="footnote-back-ref">↩</a></li>
<li id="fn:35">Cohen, Jennie (23 August 2018). "6 Things You May Not Know About the Gregorian Calendar". HISTORY. Retrieved 23 July 2021. <a href="https://www.history.com/news/6-things-you-may-not-know-about-the-gregorian-calendar" target="_blank">https://www.history.com/news/6-things-you-may-not-know-about-the-gregorian-calendar</a> <a href="#fnref:35" class="footnote-back-ref">↩</a></li>
<li id="fn:36">Tadeusz Szulc (2011). "Wprowadzenie kalendarza gregoriańskiego w Rzeczpospolitej szlacheckiej" (PDF). Studia z Dziejów Państwa i Prawa Polskiego (in Polish). tom 14: 32–33. <a href="http://cejsh.icm.edu.pl/cejsh/element/bwmeta1.element.mhp-a1bcb8a2-65d9-4031-be3c-fb9bfb5ff460/c/SzDPiPP_2011_03_Szulc.pdf" target="_blank">http://cejsh.icm.edu.pl/cejsh/element/bwmeta1.element.mhp-a1bcb8a2-65d9-4031-be3c-fb9bfb5ff460/c/SzDPiPP_2011_03_Szulc.pdf</a> <a href="#fnref:36" class="footnote-back-ref">↩</a></li>
<li id="fn:37">""Pragmatica" on the Ten Days of the Year". John Carter Brown Library. 1584.: the first known South American imprint, produced in 1584 by Antonio Ricardo, of a four-page edict issued by King Philip II of Spain in 1582, decreeing the change from the Julian to the Gregorian calendar. <a href="https://archive.org/details/pragmaticasobrel00spai/page/n15/mode/2up" target="_blank">https://archive.org/details/pragmaticasobrel00spai/page/n15/mode/2up</a> <a href="#fnref:37" class="footnote-back-ref">↩</a></li>
<li id="fn:38">"The Calendar FAQ: The Gregorian Calendar". Tondering.dk. Retrieved 3 May 2022. <a href="https://www.tondering.dk/claus/cal/gregorian.php" target="_blank">https://www.tondering.dk/claus/cal/gregorian.php</a> <a href="#fnref:38" class="footnote-back-ref">↩</a></li>
<li id="fn:39">"Calendar (New Style) Act 1750, Section 3". Parliament of Great Britain – via National Archives. <a href="https://www.legislation.gov.uk/apgb/Geo2/24/23/section/3" target="_blank">https://www.legislation.gov.uk/apgb/Geo2/24/23/section/3</a> <a href="#fnref:39" class="footnote-back-ref">↩</a></li>
<li id="fn:40">In the Old Swiss Confederacy, Helvetic Republic, or Switzerland, adoptions were made between 1584 and 1811. Some Catholic cantons switched in 1584, some Protestant in 1700/1701. For a complete list see List of adoption dates of the Gregorian calendar per country. <a href="/wiki/Old_Swiss_Confederacy" target="_blank">/wiki/Old_Swiss_Confederacy</a> <a href="#fnref:40" class="footnote-back-ref">↩</a></li>
<li id="fn:41">In the Old Swiss Confederacy, Helvetic Republic, or Switzerland, adoptions were made between 1584 and 1811. Some Catholic cantons switched in 1584, some Protestant in 1700/1701. For a complete list see List of adoption dates of the Gregorian calendar per country. <a href="/wiki/Old_Swiss_Confederacy" target="_blank">/wiki/Old_Swiss_Confederacy</a> <a href="#fnref:41" class="footnote-back-ref">↩</a></li>
<li id="fn:42">1919 in the regions comprising the former Kingdoms of Serbia and Montenegro (present-day Kosovo, Montenegro, Serbia and North Macedonia). The western and northern regions of what became Yugoslavia were already using the Gregorian calendar. For example, most of Slovenia adopted the Gregorian calendar at the same time as Austria in 1583. Coastal Croatia, which was at the time ruled by Venice, adopted the Gregorian calendar in 1582. Inland Croatia, ruled by the Habsburgs, adopted it in 1587 along with Hungary. The Gregorian calendar was used in Bosnia and Herzegovina since the 16th century by the Catholic population and was formally adopted for government use in 1878 following occupation by Austria-Hungary. <a href="/wiki/Slovenia" target="_blank">/wiki/Slovenia</a> <a href="#fnref:42" class="footnote-back-ref">↩</a></li>
<li id="fn:43">A more extensive list is available at Conversion between Julian and Gregorian calendars <a href="/wiki/Conversion_between_Julian_and_Gregorian_calendars" target="_blank">/wiki/Conversion_between_Julian_and_Gregorian_calendars</a> <a href="#fnref:43" class="footnote-back-ref">↩</a></li>
<li id="fn:44">Blackburn & Holford-Strevens (1999), p. 788. - Blackburn, Bonnie; Holford-Strevens, Leofranc (1999). The Oxford Companion to the Year. Oxford University Press. ISBN 9780192142313. <a href="https://archive.org/details/oxfordcompaniont00blac" target="_blank">https://archive.org/details/oxfordcompaniont00blac</a> <a href="#fnref:44" class="footnote-back-ref">↩</a></li>
<li id="fn:45">Evans, James (1998). The history and practice of ancient astronomy. Oxford: Oxford University Press. p. 169. ISBN 0-19-509539-1. <a href="0-19-509539-1" target="_blank">0-19-509539-1</a> <a href="#fnref:45" class="footnote-back-ref">↩</a></li>
<li id="fn:46">Explanatory Supplement to The Astronomical Ephemeris and The American Ephemeris and Nautical Almanac. London: Her Majesty's Stationery Office. 1961. p. 417. <a href="https://archive.org/details/calendar-ephemeris/page/n7/mode/1up" target="_blank">https://archive.org/details/calendar-ephemeris/page/n7/mode/1up</a> <a href="#fnref:46" class="footnote-back-ref">↩</a></li>
<li id="fn:47">Herluf Nielsen: Kronologi (2nd ed., Dansk Historisk Fællesforening, Copenhagen 1967), pp. 48–50. <a href="#fnref:47" class="footnote-back-ref">↩</a></li>
<li id="fn:48">Bond (1875), p. 99–100. - Bond, John James (1875). "Commencement of the Year, on the 1st of January or otherwise, and adoption of the Gregorian Calendar". Handy Book of Rules and Tables for Verifying Dates With the Christian Era Giving an Account of the Chief Eras and Systems Used by Various Nations... London: George Bell & Sons. <a href="https://archive.org/details/handybookofrules00inbond/page/91/mode/2up" target="_blank">https://archive.org/details/handybookofrules00inbond/page/91/mode/2up</a> <a href="#fnref:48" class="footnote-back-ref">↩</a></li>
<li id="fn:49">Protestant states in Germany used an astronomical Easter from 1700 to 1774, based on Kepler's Rudolphine Tables, differing from the Gregorian Easter twice, one week early in 1724 and 1744.[34] <a href="/wiki/Kepler" target="_blank">/wiki/Kepler</a> <a href="#fnref:49" class="footnote-back-ref">↩</a></li>
<li id="fn:50">Bond (1875), p. 98. - Bond, John James (1875). "Commencement of the Year, on the 1st of January or otherwise, and adoption of the Gregorian Calendar". Handy Book of Rules and Tables for Verifying Dates With the Christian Era Giving an Account of the Chief Eras and Systems Used by Various Nations... London: George Bell & Sons. <a href="https://archive.org/details/handybookofrules00inbond/page/91/mode/2up" target="_blank">https://archive.org/details/handybookofrules00inbond/page/91/mode/2up</a> <a href="#fnref:50" class="footnote-back-ref">↩</a></li>
<li id="fn:51">"Calendrier grégorien en France". www.henk-reints.nl. <a href="http://www.henk-reints.nl/cal/audette/cgfrance.html" target="_blank">http://www.henk-reints.nl/cal/audette/cgfrance.html</a> <a href="#fnref:51" class="footnote-back-ref">↩</a></li>
<li id="fn:52">In 1793 France abandoned the Gregorian calendar in favour of the French Republican Calendar. This change was reverted in 1805. <a href="/wiki/French_Republican_Calendar" target="_blank">/wiki/French_Republican_Calendar</a> <a href="#fnref:52" class="footnote-back-ref">↩</a></li>
<li id="fn:53">Per decree of 16 June 1575. Hermann Grotefend, "Osteranfang Archived 13 July 2016 at the Wayback Machine" (Easter beginning), Zeitrechnung de Deutschen Mittelalters und der Neuzeit Archived 28 June 2016 at the Wayback Machine (Chronology of the German Middle Ages and modern times) (1891–1898) <a href="http://www.manuscripta-mediaevalia.de/gaeste/grotefend/g_o.htm#Osteranfang" target="_blank">http://www.manuscripta-mediaevalia.de/gaeste/grotefend/g_o.htm#Osteranfang</a> <a href="#fnref:53" class="footnote-back-ref">↩</a></li>
<li id="fn:54">Bond (1875), p. 97. - Bond, John James (1875). "Commencement of the Year, on the 1st of January or otherwise, and adoption of the Gregorian Calendar". Handy Book of Rules and Tables for Verifying Dates With the Christian Era Giving an Account of the Chief Eras and Systems Used by Various Nations... London: George Bell & Sons. <a href="https://archive.org/details/handybookofrules00inbond/page/91/mode/2up" target="_blank">https://archive.org/details/handybookofrules00inbond/page/91/mode/2up</a> <a href="#fnref:54" class="footnote-back-ref">↩</a></li>
<li id="fn:55">Lorraine reverted to Julian in 1735 and adopted Gregorian again in 1760. <a href="#fnref:55" class="footnote-back-ref">↩</a></li>
<li id="fn:56">Bond (1875), p. 94–95. - Bond, John James (1875). "Commencement of the Year, on the 1st of January or otherwise, and adoption of the Gregorian Calendar". Handy Book of Rules and Tables for Verifying Dates With the Christian Era Giving an Account of the Chief Eras and Systems Used by Various Nations... London: George Bell & Sons. <a href="https://archive.org/details/handybookofrules00inbond/page/91/mode/2up" target="_blank">https://archive.org/details/handybookofrules00inbond/page/91/mode/2up</a> <a href="#fnref:56" class="footnote-back-ref">↩</a></li>
<li id="fn:57">Blackburn & Holford-Strevens (1999), p. 784. <a href="#fnref:57" class="footnote-back-ref">↩</a></li>
<li id="fn:58">Bond (1875), p. 92. - Bond, John James (1875). "Commencement of the Year, on the 1st of January or otherwise, and adoption of the Gregorian Calendar". Handy Book of Rules and Tables for Verifying Dates With the Christian Era Giving an Account of the Chief Eras and Systems Used by Various Nations... London: George Bell & Sons. <a href="https://archive.org/details/handybookofrules00inbond/page/91/mode/2up" target="_blank">https://archive.org/details/handybookofrules00inbond/page/91/mode/2up</a> <a href="#fnref:58" class="footnote-back-ref">↩</a></li>
<li id="fn:59">Roscoe Lamont, The reform of the Julian calendar Archived 30 December 2015 at the Wayback Machine, Popular Astronomy 28 (1920) 18–32. Decree of Peter the Great is on pp. 23–24. <a href="http://articles.adsabs.harvard.edu/full/1920PA.....28...18L" target="_blank">http://articles.adsabs.harvard.edu/full/1920PA.....28...18L</a> <a href="#fnref:59" class="footnote-back-ref">↩</a></li>
<li id="fn:60">*Alexandre Dumas, Storia del governo della Toscana: sotto La casa de'Medici.
Il calendario fiorentino Archived 10 March 2017 at the Wayback Machine.
 <a href="https://archive.org/details/storiadelgoverno00duma/page/201" target="_blank">https://archive.org/details/storiadelgoverno00duma/page/201</a> <a href="#fnref:60" class="footnote-back-ref">↩</a></li>
<li id="fn:61">Lorenzo Cattini, Legislazione toscana raccolta e illustrata, vol. 10, p. 208. <a href="https://books.google.com/books?id=v--l2PRjuJQC" target="_blank">https://books.google.com/books?id=v--l2PRjuJQC</a> <a href="#fnref:61" class="footnote-back-ref">↩</a></li>
<li id="fn:62">Blackburn & Holford-Strevens (1999), p. 784. <a href="#fnref:62" class="footnote-back-ref">↩</a></li>
<li id="fn:63">"Roman Dates: Eponymous Years". Tyndalehouse.com. Retrieved 14 September 2010. <a href="https://www.tyndalehouse.com/Egypt/ptolemies/chron/roman/chron_rom_cal.htm#eponymous" target="_blank">https://www.tyndalehouse.com/Egypt/ptolemies/chron/roman/chron_rom_cal.htm#eponymous</a> <a href="#fnref:63" class="footnote-back-ref">↩</a></li>
<li id="fn:64">Spathaky, Mike. "Old Style and New Style Dates and the change to the Gregorian Calendar: A summary for genealogists". <a href="http://www.cree.name/genuki/dates.htm" target="_blank">http://www.cree.name/genuki/dates.htm</a> <a href="#fnref:64" class="footnote-back-ref">↩</a></li>
<li id="fn:65">S. I. Seleschnikow: Wieviel Monde hat ein Jahr? (Aulis-Verlag, Leipzig/Jena/Berlin 1981, p. 149), which is a German translation of С. И. Селешников: История календаря и хронология (Издательство "Наука", Moscow 1977). The relevant chapter is available online here: История календаря в России и в СССР (Calendar history in Russia and the USSR) Archived 17 October 2009 at the Wayback Machine. Anno Mundi 7000 lasted from 1 March 1492 to 31 August 1492. (in Russian) <a href="http://grigam.narod.ru/kalend/kalen19.htm" target="_blank">http://grigam.narod.ru/kalend/kalen19.htm</a> <a href="#fnref:65" class="footnote-back-ref">↩</a></li>
<li id="fn:66">Tuesday 31 December 1661 Archived 29 September 2007 at the Wayback Machine, The Diary of Samuel Pepys Archived 1 March 2021 at the Wayback Machine "I sat down to end my journell for this year, ..." <a href="http://www.pepysdiary.com/archive/1661/12/31/index.php" target="_blank">http://www.pepysdiary.com/archive/1661/12/31/index.php</a> <a href="#fnref:66" class="footnote-back-ref">↩</a></li>
<li id="fn:67">Nørby, Toke. The Perpetual Calendar: What about England Archived 30 August 2007 at the Wayback Machine Version 29 February 2000 <a href="http://www.norbyhus.dk/calendar.html#England" target="_blank">http://www.norbyhus.dk/calendar.html#England</a> <a href="#fnref:67" class="footnote-back-ref">↩</a></li>
<li id="fn:68">"House of Commons Journal Volume 8, 9 June 1660 (Regicides)". British History Online. Retrieved 18 March 2007. <a href="http://www.british-history.ac.uk/report.asp?compid=26211#s5" target="_blank">http://www.british-history.ac.uk/report.asp?compid=26211#s5</a> <a href="#fnref:68" class="footnote-back-ref">↩</a></li>
<li id="fn:69">"Death warrant of Charles I". National Archives. <a href="http://www.nationalarchives.gov.uk/pathways/citizenship/rise_parliament/docs/charles_warrant.htm" target="_blank">http://www.nationalarchives.gov.uk/pathways/citizenship/rise_parliament/docs/charles_warrant.htm</a> <a href="#fnref:69" class="footnote-back-ref">↩</a></li>
<li id="fn:70">Nørby, Toke. The Perpetual Calendar Archived 12 November 2019 at the Wayback Machine <a href="http://www.norbyhus.dk/calendar.php" target="_blank">http://www.norbyhus.dk/calendar.php</a> <a href="#fnref:70" class="footnote-back-ref">↩</a></li>
<li id="fn:71">Bond (1875), p. 91–101. - Bond, John James (1875). "Commencement of the Year, on the 1st of January or otherwise, and adoption of the Gregorian Calendar". Handy Book of Rules and Tables for Verifying Dates With the Christian Era Giving an Account of the Chief Eras and Systems Used by Various Nations... London: George Bell & Sons. <a href="https://archive.org/details/handybookofrules00inbond/page/91/mode/2up" target="_blank">https://archive.org/details/handybookofrules00inbond/page/91/mode/2up</a> <a href="#fnref:71" class="footnote-back-ref">↩</a></li>
<li id="fn:72">Chiesa Cattolica (1752). "Canon I: De cyclo decennovenalli • aurei numeri" [Canon I: On the nineteenth yearly cycle • golden numbers]. Kalendarium Gregorianum perpetuum [Perpetual Gregorian calendar] (in Latin). apud Ioannes Bapt. Sessam, & fratres. pp. 17, 18. Annus Cycli decennouennalis, qui dr Aureus numerus est 6. terminaturque simulcu ipso anno Domini 1582 in mése Decembri. In mense autem Ianuario initium sumit alius annus Domini , nempe 1583. & in eodem mense Ianuario aslumitur etiam alius annuis Aurei numeri, nimirum 7. [The year of the ten-year cycle, which is the golden number 6, ends at the same time in the year of the Lord 1582 in the month of December. And in the month of January begins another year of the Lord, that is, 1583. And in the same month of January also another year of the golden number is ushered in, namely 7.] <a href="https://archive.org/details/bub_gb_xzHmKtG1_rgC/page/n17/mode/2up?q=1583" target="_blank">https://archive.org/details/bub_gb_xzHmKtG1_rgC/page/n17/mode/2up?q=1583</a> <a href="#fnref:72" class="footnote-back-ref">↩</a></li>
<li id="fn:73">Woolley, Benjamin (2001). The Queen's Conjurer: The science and magic of Dr. John Dee, adviser to Queen Elizabeth I. New York: Henry Holt. p. 173. <a href="#fnref:73" class="footnote-back-ref">↩</a></li>
<li id="fn:74">Poole 1995, pp. 95–139. - Poole, Robert (1995). "'Give us our eleven days!': calendar reform in eighteenth-century England" (PDF). Past & Present (149). Oxford Academic: 95–139. doi:10.1093/past/149.1.95. JSTOR 651100. Retrieved 4 December 2020. <a href="https://insight.cumbria.ac.uk/id/eprint/684/1/Poole_GiveUsOurEleven.pdf" target="_blank">https://insight.cumbria.ac.uk/id/eprint/684/1/Poole_GiveUsOurEleven.pdf</a> <a href="#fnref:74" class="footnote-back-ref">↩</a></li>
<li id="fn:75">Spathaky, Mike (13 December 2011). "Old Style and New Style Dates and the change to the Gregorian Calendar". Archived from the original on 11 October 2014. Before 1752, parish registers, in addition to a new year heading after 24th March showing, for example '1733', had another heading at the end of the following December indicating '1733/4'. This showed where the Historical Year 1734 started even though the Civil Year 1733 continued until 24th March. ... We as historians have no excuse for creating ambiguity and must keep to the notation described above in one of its forms. It is no good writing simply 20th January 1745, for a reader is left wondering whether we have used the Civil or the Historical Year. The date should either be written 20th January 1745 OS (if indeed it was Old Style) or as 20th January 1745/6. The hyphen (1745-6) is best avoided as it can be interpreted as indicating a period of time. <a href="http://www.cree.name/genuki/dates.htm" target="_blank">http://www.cree.name/genuki/dates.htm</a> <a href="#fnref:75" class="footnote-back-ref">↩</a></li>
<li id="fn:76">"January, n.", Oxford English Dictionary, Oxford: Oxford University Press. <a href="http://www.oed.com/view/Entry/100755" target="_blank">http://www.oed.com/view/Entry/100755</a> <a href="#fnref:76" class="footnote-back-ref">↩</a></li>
<li id="fn:77">"February, n.", Oxford English Dictionary. <a href="http://www.oed.com/view/Entry/68878" target="_blank">http://www.oed.com/view/Entry/68878</a> <a href="#fnref:77" class="footnote-back-ref">↩</a></li>
<li id="fn:78">Liberman, Anatoly (7 March 2007), "On a Self-Congratulatory Note", Oxford Etymologist Archives, Oxford: Oxford University Press. <a href="http://blog.oup.com/2007/03/on_a_self_congr" target="_blank">http://blog.oup.com/2007/03/on_a_self_congr</a> <a href="#fnref:78" class="footnote-back-ref">↩</a></li>
<li id="fn:79">"February, n.", Oxford English Dictionary. <a href="http://www.oed.com/view/Entry/68878" target="_blank">http://www.oed.com/view/Entry/68878</a> <a href="#fnref:79" class="footnote-back-ref">↩</a></li>
<li id="fn:80">"February, n.", Oxford English Dictionary. <a href="http://www.oed.com/view/Entry/68878" target="_blank">http://www.oed.com/view/Entry/68878</a> <a href="#fnref:80" class="footnote-back-ref">↩</a></li>
<li id="fn:81">"March, n.", Oxford English Dictionary. <a href="http://www.oed.com/view/Entry/113951" target="_blank">http://www.oed.com/view/Entry/113951</a> <a href="#fnref:81" class="footnote-back-ref">↩</a></li>
<li id="fn:82">Liberman, Anatoly (7 March 2007), "On a Self-Congratulatory Note", Oxford Etymologist Archives, Oxford: Oxford University Press. <a href="http://blog.oup.com/2007/03/on_a_self_congr" target="_blank">http://blog.oup.com/2007/03/on_a_self_congr</a> <a href="#fnref:82" class="footnote-back-ref">↩</a></li>
<li id="fn:83">"April, n.", Oxford English Dictionary. <a href="http://www.oed.com/view/Entry/9939" target="_blank">http://www.oed.com/view/Entry/9939</a> <a href="#fnref:83" class="footnote-back-ref">↩</a></li>
<li id="fn:84">It is not unusual for month names to be based on natural descriptions but this etymology is sometimes doubted since no other Roman months have such names.[60] <a href="#fnref:84" class="footnote-back-ref">↩</a></li>
<li id="fn:85">Liberman, Anatoly (7 March 2007), "On a Self-Congratulatory Note", Oxford Etymologist Archives, Oxford: Oxford University Press. <a href="http://blog.oup.com/2007/03/on_a_self_congr" target="_blank">http://blog.oup.com/2007/03/on_a_self_congr</a> <a href="#fnref:85" class="footnote-back-ref">↩</a></li>
<li id="fn:86">This derivation was apparently a popular one in ancient Rome, given by Plutarch[63] but rejected by Varro and Cincius.[where?][64]
[65] <a href="/wiki/Plutarch" target="_blank">/wiki/Plutarch</a> <a href="#fnref:86" class="footnote-back-ref">↩</a></li>
<li id="fn:87">"May, n.", Oxford English Dictionary. <a href="http://www.oed.com/view/Entry/115285" target="_blank">http://www.oed.com/view/Entry/115285</a> <a href="#fnref:87" class="footnote-back-ref">↩</a></li>
<li id="fn:88">Liberman, Anatoly (7 March 2007), "On a Self-Congratulatory Note", Oxford Etymologist Archives, Oxford: Oxford University Press. <a href="http://blog.oup.com/2007/03/on_a_self_congr" target="_blank">http://blog.oup.com/2007/03/on_a_self_congr</a> <a href="#fnref:88" class="footnote-back-ref">↩</a></li>
<li id="fn:89">"May, n.", Oxford English Dictionary. <a href="http://www.oed.com/view/Entry/115285" target="_blank">http://www.oed.com/view/Entry/115285</a> <a href="#fnref:89" class="footnote-back-ref">↩</a></li>
<li id="fn:90">"June, n.", Oxford English Dictionary. <a href="http://www.oed.com/view/Entry/102068" target="_blank">http://www.oed.com/view/Entry/102068</a> <a href="#fnref:90" class="footnote-back-ref">↩</a></li>
<li id="fn:91">Liberman, Anatoly (7 March 2007), "On a Self-Congratulatory Note", Oxford Etymologist Archives, Oxford: Oxford University Press. <a href="http://blog.oup.com/2007/03/on_a_self_congr" target="_blank">http://blog.oup.com/2007/03/on_a_self_congr</a> <a href="#fnref:91" class="footnote-back-ref">↩</a></li>
<li id="fn:92">"July, n.", Oxford English Dictionary. <a href="http://www.oed.com/view/Entry/102005" target="_blank">http://www.oed.com/view/Entry/102005</a> <a href="#fnref:92" class="footnote-back-ref">↩</a></li>
<li id="fn:93">Liberman, Anatoly (7 March 2007), "On a Self-Congratulatory Note", Oxford Etymologist Archives, Oxford: Oxford University Press. <a href="http://blog.oup.com/2007/03/on_a_self_congr" target="_blank">http://blog.oup.com/2007/03/on_a_self_congr</a> <a href="#fnref:93" class="footnote-back-ref">↩</a></li>
<li id="fn:94">"August, n.", Oxford English Dictionary. <a href="http://www.oed.com/view/Entry/13110" target="_blank">http://www.oed.com/view/Entry/13110</a> <a href="#fnref:94" class="footnote-back-ref">↩</a></li>
<li id="fn:95">"September, n.", Oxford English Dictionary. <a href="http://www.oed.com/view/Entry/176171" target="_blank">http://www.oed.com/view/Entry/176171</a> <a href="#fnref:95" class="footnote-back-ref">↩</a></li>
<li id="fn:96">"October, n.", Oxford English Dictionary. <a href="http://www.oed.com/view/Entry/130330" target="_blank">http://www.oed.com/view/Entry/130330</a> <a href="#fnref:96" class="footnote-back-ref">↩</a></li>
<li id="fn:97">"November, n.", Oxford English Dictionary. <a href="http://www.oed.com/view/Entry/130330" target="_blank">http://www.oed.com/view/Entry/130330</a> <a href="#fnref:97" class="footnote-back-ref">↩</a></li>
<li id="fn:98">"December, n.", Oxford English Dictionary. <a href="http://www.oed.com/view/Entry/48106" target="_blank">http://www.oed.com/view/Entry/48106</a> <a href="#fnref:98" class="footnote-back-ref">↩</a></li>
<li id="fn:99">de Dacia, Petrus. Pedersen, Fritz S. (ed.). Anianus: Computus Metricus Manualis (in Latin). Odense. OCLC 163382057. <a href="/wiki/OCLC_(identifier)" target="_blank">/wiki/OCLC_(identifier)</a> <a href="#fnref:99" class="footnote-back-ref">↩</a></li>
<li id="fn:100">Onofri, Francesca Romana; et al. (2012), Italian for Dummies, Berlitz, pp. 101–2, ISBN 9781118258767. <a href="9781118258767" target="_blank">9781118258767</a> <a href="#fnref:100" class="footnote-back-ref">↩</a></li>
<li id="fn:101">Bond, Otto Ferdinand; et al. (1918), Military Manual of Elementary French, Austin: E.L. Steck, p. 11. <a href="/wiki/Austin,_Texas" target="_blank">/wiki/Austin,_Texas</a> <a href="#fnref:101" class="footnote-back-ref">↩</a></li>
<li id="fn:102">Portella, Mathias Rodrigues (1738), Cartapacio de syllaba, e figuras, conforme a ordem dos mais cartapacios de Grammatica..., Western Lisbon: Officina de Antonio Pedrozo Galram, pp. 121. <a href="https://books.google.com/books?id=TqUvp_kWAAsC" target="_blank">https://books.google.com/books?id=TqUvp_kWAAsC</a> <a href="#fnref:102" class="footnote-back-ref">↩</a></li>
<li id="fn:103">Bryan, Roger (30 October 2011). "The Oldest Rhyme in the Book". London: Times Newspapers.. <a href="https://www.thetimes.com/travel/destinations/uk-travel/the-oldest-rhyme-in-the-book-5smhvj32kxx" target="_blank">https://www.thetimes.com/travel/destinations/uk-travel/the-oldest-rhyme-in-the-book-5smhvj32kxx</a> <a href="#fnref:103" class="footnote-back-ref">↩</a></li>
<li id="fn:104">Misstear, Rachael (16 January 2012). "Welsh Author Digs Deep to Find Medieval Origins of Thirty Days Hath Verse". Media Wales. Archived from the original on 6 February 2012. <a href="https://web.archive.org/web/20120206080222/http://www.walesonline.co.uk/news/need-to-read/2012/01/16/welsh-author-digs-deep-to-find-medieval-origins-of-thirty-days-hath-verse-91466-30128447" target="_blank">https://web.archive.org/web/20120206080222/http://www.walesonline.co.uk/news/need-to-read/2012/01/16/welsh-author-digs-deep-to-find-medieval-origins-of-thirty-days-hath-verse-91466-30128447</a> <a href="#fnref:104" class="footnote-back-ref">↩</a></li>
<li id="fn:105">"Memorable mnemonics". London: BBC Radio 4. 30 November 2011.. <a href="http://news.bbc.co.uk/today/hi/today/newsid_9651000/9651594.stm" target="_blank">http://news.bbc.co.uk/today/hi/today/newsid_9651000/9651594.stm</a> <a href="#fnref:105" class="footnote-back-ref">↩</a></li>
<li id="fn:106">Bryan, Roger (30 October 2011). "The Oldest Rhyme in the Book". London: Times Newspapers.. <a href="https://www.thetimes.com/travel/destinations/uk-travel/the-oldest-rhyme-in-the-book-5smhvj32kxx" target="_blank">https://www.thetimes.com/travel/destinations/uk-travel/the-oldest-rhyme-in-the-book-5smhvj32kxx</a> <a href="#fnref:106" class="footnote-back-ref">↩</a></li>
<li id="fn:107">The Cincinnati Enquirer, Cincinnati, 20 September 1924, p. 6{{citation}}: CS1 maint: location missing publisher (link). <a href="/wiki/Template:Citation" target="_blank">/wiki/Template:Citation</a> <a href="#fnref:107" class="footnote-back-ref">↩</a></li>
<li id="fn:108">Holland, Norman N. (1992), The Critical I, New York: Columbia University Press, p. 64–5, ISBN 9780231076517. <a href="9780231076517" target="_blank">9780231076517</a> <a href="#fnref:108" class="footnote-back-ref">↩</a></li>
<li id="fn:109">Seidelmann (1992), pp. 580–581. - Seidelmann, P. K., ed. (1992). Explanatory Supplement to the Astronomical Almanac (2nd ed.). Sausalito, CA: University Science Books. Bibcode:1992esaa.book.....S. <a href="https://ui.adsabs.harvard.edu/abs/1992esaa.book.....S" target="_blank">https://ui.adsabs.harvard.edu/abs/1992esaa.book.....S</a> <a href="#fnref:109" class="footnote-back-ref">↩</a></li>
<li id="fn:110">Using value from Richards (2013, p. 587) for tropical year in mean solar days, the calculation is 1/(365.2425-365.24217). <a href="#fnref:110" class="footnote-back-ref">↩</a></li>
<li id="fn:111">Meeus & Savoie (1992), p. 42. - Meeus, J.; Savoie, D. (1992). "The history of the tropical year". Journal of the British Astronomical Association. 102 (1): 40–42. Bibcode:1992JBAA..102...40M. <a href="http://adsabs.harvard.edu/abs/1992JBAA..102...40M" target="_blank">http://adsabs.harvard.edu/abs/1992JBAA..102...40M</a> <a href="#fnref:111" class="footnote-back-ref">↩</a></li>
<li id="fn:112">Herschel, John (1878) [1849]. "Part IV. Chapter XVIII. Gregorian Calendar.". Outlines of Astronomy. Longman. p. 673. <a href="https://archive.org/details/outlinesofastron00hersuoft/page/672/mode/2up?q=4000&view=theater" target="_blank">https://archive.org/details/outlinesofastron00hersuoft/page/672/mode/2up?q=4000&view=theater</a> <a href="#fnref:112" class="footnote-back-ref">↩</a></li>
<li id="fn:113">Steel, Duncan (2000). Marking Time: The Epic Quest to Invent the Perfect Calendar. John Wiley & Sons. p. 185. ISBN 978-0-471-29827-4. <a href="978-0-471-29827-4" target="_blank">978-0-471-29827-4</a> <a href="#fnref:113" class="footnote-back-ref">↩</a></li>
</ol>

Gregorian calendar open-in-new

Gregorian calendar