View source for Leap year starting on Tuesday

{{Short description|none}}
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 letter]]s 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">{{cite web|url=https://webspace.science.uu.nl/~gent0113/calendar/isocalendar.htm |author=Robert van Gent |title=The Mathematics of the ISO 8601 Calendar |publisher=Utrecht University, Department of Mathematics |date=2017 |access-date=20 July 2017}}</ref> or, likewise [[2020]] and [[AD 2048|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 [[June 13|occurs in June]]. [[Common year starting on Wednesday|Common years starting on Wednesday]] share this characteristic.

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

Any leap year that starts on Tuesday has only one [[Friday_the_13th#Friday_the_17th_in_Italy|Friday the 17th]]: the only one in this leap year [[October 17|occurs in October]].

From [[August]] of the [[Common year starting on Monday|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 13th #Friday the 17th in Italy|Friday the 17th]].

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

== Calendars ==
<!-- To avoid arbitrary years, use the most recent year of this type. 2008 was the most recent year of this type. -->
{{calendar|year=2008|show_year=off|title=Calendar for any [[leap year]] starting on Tuesday,<br />presented as common in many English-speaking areas}}

{{calendar|year=2008|show_year=off|format=iso|row=3|zero=0|title=[[ISO 8601]]-conformant calendar with [[ISO week date|week numbers]] for<br />any leap year starting on Tuesday (dominical letter FE)}}

== Applicable years ==
=== Gregorian Calendar ===
Leap years that begin on Tuesday, along with those [[Leap year starting on Wednesday|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).

{| class="wikitable"
|+ Gregorian leap years starting on Tuesday<ref name=math/>
!scope=row| Decade
! 1st !! 2nd !! 3rd !! 4th !! 5th !! 6th !! 7th !! 8th !! 9th !! 10th
|-

! style="background-color:#efefef;" | [[17th century]]
| [[1608]] || || || [[1636]] || || || [[1664]] || || || [[1692]]
|-
! style="background-color:#efefef;" | [[18th century]]
| [[1704]] || || || [[1732]] || || [[1760]] || || || [[1788]] || 
|-
! style="background-color:#efefef;" | [[19th century]]
| || || [[1828]] ||  || || [[1856]] || || || [[1884]] ||
|-
! style="background-color:#efefef;" | [[20th century]]
| || || [[1924]] || || || [[1952]] || || [[1980]] || ||
|-
! style="background-color:#efefef;" | [[21st century]]
| [[2008]] || || || [[2036]] || || || [[2064]] || || || [[2092]]
|-
! style="background-color:#efefef;" | [[22nd century]]
| [[2104]] || || || [[2132]] || || [[2160]] || || || [[2188]] ||
|-
! style="background-color:#efefef;" | [[23rd century]]
| || || [[2228]] || || || [[2256]] || || || [[2284]] ||
|-
! style="background-color:#efefef;" | [[24th century]]
| || || [[2324]] || || || [[2352]] || || [[2380]] || ||
|-
! style="background-color:#efefef;" | [[25th century]]
| [[2408]] || || || [[2436]] || || || [[2464]] || || || [[2492]]
|-
! style="background-color:#efefef;" | [[26th century]]
| 2504 || || || 2532 || || 2560 || || || 2588 ||
|}

{| class="wikitable"
|+ 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 Calendar ===
Like all leap year types, the one starting with 1 January on a Tuesday occurs exactly once in a [[solar cycle|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).

{| class="wikitable"
|+ Julian leap years starting on Tuesday
!scope=row| Decade
! 1st !! 2nd !! 3rd !! 4th !! 5th !! 6th !! 7th !! 8th !! 9th !! 10th
|-
! style="background-color:#efefef;" | [[14th century]]
| [[1320]] || || || [[1348]] || || [[1376]] || || || ||
|-
! style="background-color:#efefef;" | [[15th century]]
| [[1404]] || || || [[1432]] || || [[1460]] || || || [[1488]] || 
|-
! style="background-color:#efefef;" | [[16th century]]
| || [[1516]] || || || [[1544]] || || || [[1572]] || || [[1600]]
|-
! style="background-color:#efefef;" | [[17th century]]
| || || [[1628]] || || || [[1656]] || || || [[1684]] || 
|-
! style="background-color:#efefef;" | 18th century
| || 1712 || || 1740 || || || 1768 || || || 1796
|-
! style="background-color:#efefef;" | 19th century
| || || 1824 || || || 1852 || || 1880 || || 
|-
! style="background-color:#efefef;" | 20th century
| 1908 || || || 1936 || || || 1964 || || || 1992
|-
! style="background-color:#efefef;" | 21st century
| || 2020 || || || 2048 || || || 2076 || || 
|-
! style="background-color:#efefef;" | 22nd century
| 2104 || || || 2132 || || 2160 || || || 2188 ||
|}

{{Commons category}}

== Holidays ==
=== International ===
* [[Valentine's Day]] falls on a [[Thursday]]
* The leap day ([[February 29]]) falls on a [[Friday]]
* [[Grandparents' Day|World Day for Grandparents and the Elderly]] falls on [[July 27]]
* [[Halloween]] falls on a [[Friday]]
* [[Christmas Day]] falls on a [[Thursday]]

=== Roman Catholic Solemnities ===
* [[Epiphany (holiday)|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 Zealand ===
* [[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 Isles ===
* [[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]]

=== Canada ===
* [[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 (Canada)|Labour Day]] falls on its earliest possible date, [[September 1]]
* [[Thanksgiving Day (Canada)|Thanksgiving Day]] falls on [[October 13]]
* Daylight saving ends on [[November 2]]

=== Denmark ===
* The [[Constitution Day (Denmark)|Constitution Day]] falls on a [[Thursday]]

=== Germany ===
* The [[German reunification|reunification]] falls on a [[Friday]]

=== United States ===
* [[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 (United States)|Independence Day]] falls on a [[Friday]]
* [[Labor Day (United States)|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 (United States)|Election Day]] falls on [[November 4]]
* [[Thanksgiving Day]] falls on [[November 27]]

== References ==
{{Reflist}}
{{List of calendars}}

{{DEFAULTSORT:Leap Year Starting On Tuesday}}
[[Category:Gregorian calendar]]
[[Category:Julian calendar]]
[[Category:Tuesday]]