Leap year starting on Tuesday

Template:Short description A leap year starting on Tuesday is any year with 366 days (i.e. it includes 29 February) that begins on Tuesday, 1 January, and ends on Wednesday, 31 December. Its dominical letters hence are FE. The most recent year of such kind was 2008, and the next one will be 2036 in the Gregorian calendar<ref name="math">{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> or, likewise 2020 and 2048 in the obsolete Julian calendar.

Any leap year that starts on Tuesday has only one Friday the 13th; the only one in this leap year occurs in June. Common years starting on Wednesday (such as 2025) share this characteristic.

Any leap year that starts on Tuesday has only one Tuesday the 13th: the only one in this leap year occurs in May.

Any leap year that starts on Tuesday has only one Friday the 17th: the only one in this leap year occurs in October.

From August of the common year preceding that year until October in this type of year is also the longest period (14 months) that occurs without a Friday the 17th.

This year has three months (March, June and November) which begin on a weekend-day.

CalendarsEdit

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          |title=ISO 8601-conformant calendar with week numbers for
any leap year starting on Tuesday (dominical letter FE)
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Applicable yearsEdit

Gregorian CalendarEdit

Leap years that begin on Tuesday, along with those starting on Wednesday, occur at a rate of approximately 14.43% (14 out of 97) of all total leap years in a 400-year cycle of the Gregorian calendar. Thus, their overall occurrence is 3.5% (14 out of 400).

Gregorian leap years starting on Tuesday<ref name=math/>
Decade	1st	3rd	4th	6th	7th	8th	9th	10th
17th century	1608		1636		1664			1692
18th century	1704		1732	1760			1788
19th century		1828		1856			1884
20th century		1924		1952		1980
21st century	2008		2036		2064			2092
22nd century	2104		2132	2160			2188
23rd century		2228		2256			2284
24th century		2324		2352		2380
25th century	2408		2436		2464			2492
26th century	2504		2532	2560			2588

400-year cycle
0–99	8	36	64	92
100–199	104	132	160	188
200–299	228	256	284
300–399	324	352	380

Julian CalendarEdit

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).

Julian leap years starting on Tuesday
Decade	1st	2nd	3rd	4th	5th	6th	7th	8th	9th	10th
14th century	1320			1348		1376
15th century	1404			1432		1460			1488
16th century		1516			1544			1572		1600
17th century			1628			1656			1684
18th century		1712		1740			1768			1796
19th century			1824			1852		1880
20th century	1908			1936			1964			1992
21st century		2020			2048			2076
22nd century	2104			2132		2160			2188

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HolidaysEdit

InternationalEdit

Valentine's Day falls on a Thursday
The leap day (February 29) falls on a Friday
World Day for Grandparents and the Elderly falls on July 27
Halloween falls on a Friday
Christmas Day falls on a Thursday

Roman Catholic SolemnitiesEdit

Epiphany falls on a Sunday
Candlemas falls on a Saturday
Saint Joseph's Day falls on a Wednesday
The Annunciation of Jesus falls on a Tuesday
The Nativity of John the Baptist falls on a Tuesday
The Solemnity of Saints Peter and Paul falls on a Sunday
The Transfiguration of Jesus falls on a Wednesday
The Assumption of Mary falls on a Friday
The Exaltation of the Holy Cross falls on a Sunday
All Saints' Day falls on a Saturday
All Souls' Day falls on a Sunday
The Feast of Christ the King falls on November 23 (or on October 26 in versions of the calendar between 1925 and 1962)
The First Sunday of Advent falls on November 30
The Immaculate Conception falls on a Monday
Gaudete Sunday falls on December 14
Rorate Sunday falls on December 21

Australia and New ZealandEdit

Australia Day falls on a Saturday
Waitangi Day falls on a Wednesday
Daylight saving ends on April 6
ANZAC Day falls on a Friday
Mother's Day falls on May 11
Father's Day falls on its latest possible date, September 7
Daylight saving begins on September 28 in New Zealand and October 5 in Australia

British IslesEdit

Saint David's Day falls on a Saturday
Mother's Day falls on March 2, March 9, March 16, March 23 or March 30
Saint Patrick's Day falls on a Monday
Daylight saving begins on March 30
Saint George's Day falls on a Wednesday
Father's Day falls on its earliest possible date, June 15
Orangeman's Day falls on a Saturday
Daylight saving ends on October 26
Guy Fawkes Night falls on a Wednesday
Saint Andrew's Day falls on a Sunday

CanadaEdit

Daylight saving begins on March 9
Mother's Day falls on May 11
Victoria Day falls on May 19
Father's Day falls on its earliest possible date, June 15
Canada Day falls on a Tuesday
Labour Day falls on its earliest possible date, September 1
Thanksgiving Day falls on October 13
Daylight saving ends on November 2

United StatesEdit

Martin Luther King Jr. Day falls on its latest possible date, January 21. This is the only type of leap year where Columbus Day that precedes this type of year to Martin Luther King Jr. Day in this type of year are 15 weeks apart. They are 14 weeks apart in all other leap years. This is also the only type of leap year where Thanksgiving that precedes this type of year to Martin Luther King Jr. Day in this type of year are 60 days apart. They are 53 days apart in all other leap years
President's Day falls on February 18
Daylight saving begins on March 9
Mother's Day falls on May 11
Memorial Day falls on May 26
Father's Day falls on its earliest possible date, June 15. This is the only type of leap year where Martin Luther King Jr. Day and Father’s Day are 146 days apart. They are 153 days apart in all other leap years
Juneteenth falls on a Thursday
Independence Day falls on a Friday
Labor Day falls on its earliest possible date, September 1. This is the only type of leap year where Martin Luther King Jr. Day and Labor Day are 32 weeks apart. They are 33 weeks apart in all other leap years
Grandparents' Day falls on its earliest possible date, September 7. This is the only type of leap year where Martin Luther King Jr. Day and Grandparent’s Day are 230 days apart. They are 237 days apart in all other leap years.
Columbus Day falls on October 13
Daylight saving ends on November 2
Election Day falls on November 4
Thanksgiving Day falls on November 27

ReferencesEdit

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1 Jan	Count	Ratio	31 Dec	DL	DD	Count	Ratio	31 Dec	DL	DD	Count	Ratio
Year starts			Common years					Leap years
Sun	58	14.50 %	Sun	A	Tue	43	10.75 %	Mon	AG	Wed	15	Template:03.75 %
Mon	56	14.00 %	Mon	G	Wed	43	10.75 %	Tue	GF	Thu	13	Template:03.25 %
Tue	58	14.50 %	Tue	F	Thu	44	11.00 %	Wed	FE	Fri	14	Template:03.50 %
Wed	57	14.25 %	Wed	E	Fri	43	10.75 %	Thu	ED	Sat	14	Template:03.50 %
Thu	57	14.25 %	Thu	D	Sat	44	11.00 %	Fri	DC	Sun	13	Template:03.25 %
Fri	58	14.50 %	Fri	C	Sun	43	10.75 %	Sat	CB	Mon	15	Template:03.75 %
Sat	56	14.00 %	Sat	B	Mon	43	10.75 %	Sun	BA	Tue	13	Template:03.25 %
∑	400	100.0 %				303	75.75 %				97	24.25 %

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