Leap years starting on Tuesday
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A leap year starting on Tuesday is any year with 366 days (i.e. it includes 29 February) that begins on
Tuesday Tuesday is the day of the week between Monday and Wednesday. According to international standard ISO 8601, Monday is the first day of the week; thus, Tuesday is the second day of the week. According to some commonly used calendars, however ...
, 1 January, and ends on
Wednesday Wednesday is the day of the week between Tuesday and Thursday. According to international standard ISO 8601, it is the third day of the week. In countries which have Friday as their holiday, Wednesday is the fifth day of the week. In countrie ...
, 31 December. Its
dominical letter Dominical letters or Sunday letters are a method used to determine the day of the week for particular dates. When using this method, each year is assigned a letter (or pair of letters for leap years) depending on which day of the week the year sta ...
s hence are FE. The most recent year of such kind was
2008 File:2008 Events Collage.png, From left, clockwise: Lehman Brothers went bankrupt following the Subprime mortgage crisis; Cyclone Nargis killed more than 138,000 in Myanmar; A scene from the opening ceremony of the 2008 Summer Olympics in Beijing; ...
and the next one will be
2036 The 2030s (pronounced "twenty-thirties"; shortened to the '30s) is the next decade in the Gregorian calendar that will begin on 1 January 2030, and will end on 31 December 2039. Plans and goals * NASA plans to execute a crewed mission to Mars ...
in the
Gregorian calendar The Gregorian calendar is the calendar used in most parts of the world. It was introduced in October 1582 by Pope Gregory XIII as a modification of, and replacement for, the Julian calendar. The principal change was to space leap years dif ...
or, likewise
2020 2020 was heavily defined by the COVID-19 pandemic, which led to global social and economic disruption, mass cancellations and postponements of events, worldwide lockdowns and the largest economic recession since the Great Depression in t ...
and 2048 in the obsolete
Julian calendar The Julian calendar, proposed by Roman consul Julius Caesar in 46 BC, was a reform of the Roman calendar. It took effect on , by edict. It was designed with the aid of Greek mathematicians and astronomers such as Sosigenes of Alexandr ...
. Any leap year that starts on
Tuesday Tuesday is the day of the week between Monday and Wednesday. According to international standard ISO 8601, Monday is the first day of the week; thus, Tuesday is the second day of the week. According to some commonly used calendars, however ...
,
Friday Friday is the day of the week between Thursday and Saturday. In countries that adopt the traditional "Sunday-first" convention, it is the sixth day of the week. In countries adopting the ISO-defined "Monday-first" convention, it is the fifth d ...
or
Saturday Saturday is the day of the week between Friday and Sunday. No later than the 2nd century, the Romans named Saturday ("Saturn's Day") for the planet Saturn, which controlled the first hour of that day, according to Vettius Valens. The day ...
has only one Friday the 13th; the only one in this leap year occurs in June. Common years starting on Wednesday share this characteristic. In this leap year,
Martin Luther King Jr. Day Martin Luther King Jr. Day (officially Birthday of Martin Luther King, Jr., and sometimes referred to as MLK Day) is a federal holiday in the United States marking the birthday of Martin Luther King Jr. It is observed on the third Mond ...
is on its latest possible date,
January 21 Events Pre-1600 * 763 – Following the Battle of Bakhamra between Alids and Abbasids near Kufa, the Alid rebellion ends with the death of Ibrahim, brother of Isa ibn Musa. * 1525 – The Swiss Anabaptist Movement is founded when ...
,
Valentine's Day Valentine's Day, also called Saint Valentine's Day or the Feast of Saint Valentine, is celebrated annually on February 14. It originated as a Christian feast day honoring one or two early Christian martyrs named Saint Valentine and, thr ...
is on a
Thursday Thursday is the day of the week between Wednesday and Friday. According to the ISO 8601 international standard, it is the fourth day of the week. In countries which adopt the "Sunday-first" convention, it is the fifth day of the week. Name ''Se ...
,
Presidents' Day Presidents' Day, also called Washington's Birthday at the federal governmental level, is a holiday in the United States celebrated on the third Monday of February to honor all persons who served as presidents of the United States and, since 1879 ...
is on
February 18 Events Pre-1600 * 1229 – The Sixth Crusade: Frederick II, Holy Roman Emperor, signs a ten-year truce with al-Kamil, regaining Jerusalem, Nazareth, and Bethlehem with neither military engagements nor support from the papacy. *1268 & ...
, the
leap day February 29, also known as leap day or leap year day, is a date added to leap years. A leap day is added in various solar calendars (calendars based on the Earth's revolution around the Sun), including the Gregorian calendar standard in m ...
is on a
Friday Friday is the day of the week between Thursday and Saturday. In countries that adopt the traditional "Sunday-first" convention, it is the sixth day of the week. In countries adopting the ISO-defined "Monday-first" convention, it is the fifth d ...
,
Saint Patrick's Day Saint Patrick's Day, or the Feast of Saint Patrick ( ga, Lá Fhéile Pádraig, lit=the Day of the Festival of Patrick), is a cultural and religious celebration held on 17 March, the traditional death date of Saint Patrick (), the foremost patr ...
is on
Monday Monday is the day of the week between Sunday and Tuesday. According to the International Organization for Standardization's ISO 8601 standard, it is the first day of the week and in countries that adopt the "Sunday-first" convention, it is t ...
,
Memorial Day Memorial Day (originally known as Decoration Day) is a federal holiday in the United States for mourning the U.S. military personnel who have fought and died while serving in the United States armed forces. It is observed on the last Monda ...
is on
May 26 Events Pre-1600 * 17 – Germanicus celebrates a triumph in Rome for his victories over the Cherusci, Chatti, and other German tribes west of the Elbe. * 451 – Battle of Avarayr between Armenian rebels and the Sasanian Empire tak ...
,
Juneteenth Juneteenth is a federal holiday in the United States commemorating the emancipation of enslaved African Americans. Deriving its name from combining "June" and "nineteenth", it is celebrated on the anniversary of General Order No. 3, i ...
is on a
Thursday Thursday is the day of the week between Wednesday and Friday. According to the ISO 8601 international standard, it is the fourth day of the week. In countries which adopt the "Sunday-first" convention, it is the fifth day of the week. Name ''Se ...
,
U.S. Independence Day Independence Day (colloquially the Fourth of July) is a federal holiday in the United States commemorating the Declaration of Independence, which was ratified by the Second Continental Congress on July 4, 1776, establishing the United States ...
and Halloween are on a Friday, Labor Day is on its earliest possible date,
September 1 Events Pre-1600 *1145 – The main altar of Lund Cathedral, at the time seat of the archiepiscopal see of all the Nordic countries, is consecrated. *1173 – The widow Stamira sacrifices herself in order to raise the siege of Ancona b ...
,
Thanksgiving Thanksgiving is a national holiday celebrated on various dates in the United States, Canada, Grenada, Saint Lucia, Liberia, and unofficially in countries like Brazil and Philippines. It is also observed in the Netherlander town of Leiden ...
in is on
November 27 Events Pre-1600 *AD 25 – Luoyang is declared capital of the Eastern Han dynasty by Emperor Guangwu of Han. * 176 – Emperor Marcus Aurelius grants his son Commodus the rank of " Imperator" and makes him Supreme Commander of the ...
, and
Christmas Christmas is an annual festival commemorating the birth of Jesus Christ, observed primarily on December 25 as a religious and cultural celebration among billions of people around the world. A feast central to the Christian liturgical year ...
is on a
Thursday Thursday is the day of the week between Wednesday and Friday. According to the ISO 8601 international standard, it is the fourth day of the week. In countries which adopt the "Sunday-first" convention, it is the fifth day of the week. Name ''Se ...
. The Election Day in the USA is on November 4th, as well in common years starting on Wednesday.


Calendars


Applicable years


Gregorian Calendar

Leap years that begin on Tuesday, like those that start on Wednesday, occur at a rate of approximately 14.43% of all total leap years in a 400-year cycle of the
Gregorian calendar The Gregorian calendar is the calendar used in most parts of the world. It was introduced in October 1582 by Pope Gregory XIII as a modification of, and replacement for, the Julian calendar. The principal change was to space leap years dif ...
. Their overall occurrence is 3.5% (14 out of 400). 400 year cycle century 1: 8, 36, 64, 92 century 2: 104, 132, 160, 188 century 3: 228, 256, 284 century 4: 324, 352, 380


Julian Calendar

Like all leap year types, the one starting with 1 January on a Tuesday occurs exactly once in a 28-year cycle in the Julian calendar, i.e. in 3.57% of years. As the Julian calendar repeats after 28 years that means it will also repeat after 700 years, i.e. 25 cycles. The year's position in the cycle is given by the formula ((year + 8) mod 28) + 1).


References

{{DEFAULTSORT:Leap Year Starting On Tuesday Gregorian calendar Julian calendar Tuesday