| Revision as of 11:44, 31 December 2023 editRedNails2023 (talk | contribs)21 editsNo edit summaryTags: Reverted Visual edit Mobile edit Mobile web edit← Previous edit |
Latest revision as of 13:42, 29 December 2024 edit undo24.140.9.19 (talk)No edit summaryTags: Mobile edit Mobile web edit |
| (46 intermediate revisions by 26 users not shown) |
| Line 1: |
Line 1: |
|
{{Short description|Type of year (GF) on a solar calendar}} |
|
{{Short description|Type of year (GF) on a solar calendar}} |
|
A '''leap year starting on Monday''' is any year with 366 days (i.e. it includes 29 February) that begins on ], 1 January, and ends on ], 31 December. Its ]s hence are '''GF'''. The current year, ''']''', is a ] in the ]. The most recent year of such year was ] and the next such year will be ] in the ]<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, ], and ] in the obsolete ]. |
|
A '''leap year starting on Monday''' is any year with 366 days (i.e. it includes ]) that begins on ], 1 January, and ends on ], 31 December. Its ]s hence are '''GF'''. The most recent year of such kind was ] and the next one will be ] <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, ] and ] in the obsolete ]. |
|
|
|
|
|
Any leap year that starts on ], ] or ] has two ]s: those two in this leap year ] and ]. ] share this characteristic. |
|
Any leap year that starts on ], ] or ] has two ]s: those two in this leap year ] and ]. ] share this characteristic. |
|
|
|
|
|
Additionally, this type of year has three months (January, April, and July) beginning exactly on the first day of the week, in areas which Monday is considered the first day of the week, ] share this characteristic on the months of February, March, and November. |
|
|
|
|
|
== Calendars == |
|
== Calendars == |
|
<!-- To avoid arbitrary years, use the most recent or upcoming year of this type. 2024 is the next year of this type. --> |
|
<!-- To avoid arbitrary years, use the most recent of this type. 2024, the current year, is of this type. --> |
|
{{calendar|year=2024|show_year=off|title=Calendar for any ] starting on Monday,<br />presented as common in many English-speaking areas}} |
|
{{calendar|year=2024|show_year=off|title=Calendar for any ] starting on Monday,<br />presented as common in many English-speaking areas}} |
|
|
|
|
| Line 12: |
Line 14: |
|
== Applicable years == |
|
== Applicable years == |
|
=== Gregorian Calendar === |
|
=== Gregorian Calendar === |
|
Leap years that begin on Monday, along with those ] and ], occur least frequently: 13 out of 97 (≈ 13.402%) total leap years in a 400-year cycle of the ]. Their overall occurrence is thus 3.25% (13 out of 400). |
|
Leap years that begin on Monday, along with those ] and ], occur least frequently: 13 out of 97 (≈ 13.4%) total leap years in a 400-year cycle of the ]. Their overall frequency is thus 3.25% (13 out of 400) of years. |
|
|
|
|
|
{| class="wikitable" |
|
{| class="wikitable" |
| Line 20: |
Line 22: |
|
|- style="opacity: 0.5;" |
|
|- style="opacity: 0.5;" |
|
|
|
|
|
! style="background-color:#efefef;" | ] |
|
! style="background-color:#efefef;" | ] |
|
|
| colspan="8" | ''prior to first adoption (proleptic)''|| || ] |
|
| || || ] || || || ] || || ] || || |
|
|
|
|- |
|
|
!] |
|
|
| |
|
|
| |
|
|
|] |
|
|
| |
|
|
| |
|
|
|] |
|
|
| |
|
|
|] |
|
|
| |
|
|
| |
|
|- |
|
|- |
|
! style="background-color:#efefef;" | ] |
|
! style="background-color:#efefef;" | ] |
| Line 109: |
Line 123: |
|
|
|
|
|
=== International === |
|
=== International === |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
** The leap day (]) falls on a ] |
|
* The leap day (]) falls on a ] |
|
** ] falls on its latest possible date, ] |
|
* ] falls on its latest possible date, ] |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
|
|
|
|
=== Roman Catholic Solemnities === |
|
=== Roman Catholic Solemnities === |
|
** ] falls on a ] |
|
* ] falls on a ] or, in places when it is transferred to a Sunday, January 7 |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
** The ] falls on a ] |
|
* The ] falls on a ] |
|
** The ] falls on a ] |
|
* The ] falls on a ] |
|
** The ] falls on a ] |
|
* The ] falls on a ] |
|
** The ] falls on a ] |
|
* The ] falls on a ] |
|
** The ] falls on a ] |
|
* The ] falls on a ] |
|
** The ] falls on a ] |
|
* The ] falls on a ] |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
** The ] falls on ] (or on ] in versions of the calendar between 1925 and 1962) |
|
* The ] falls on ] (or on ] in versions of the calendar between 1925 and 1962) |
|
** The ] falls on ] |
|
* The ] falls on ] |
|
** The ] falls on a ] |
|
* The ] falls on a ], thus transferred to Monday, December 9. |
|
** ] falls on ] |
|
* ] falls on ] |
|
** ] falls on ] |
|
* ] falls on ] |
|
|
|
|
|
=== Australia and New Zealand === |
|
=== Australia and New Zealand === |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
** ] ends on its latest possible date, ] – the period of daylight saving which ends on ] of a leap year starting on Monday is the only period ending in any year to last 27 weeks in Australia and 28 weeks in New Zealand; in all other instances, the period of daylight saving lasts only 26 weeks in Australia and 27 weeks in New Zealand |
|
* ] ends on its latest possible date, ] – the period of daylight saving which ends on ] of a leap year starting on Monday is the only period ending in any year to last 27 weeks in Australia and 28 weeks in New Zealand; in all other instances, the period of daylight saving lasts only 26 weeks in Australia and 27 weeks in New Zealand |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
** ] falls on ] |
|
* ] falls on ] |
|
** ] falls on its earliest possible date, ] |
|
* ] falls on its earliest possible date, ] |
|
** Daylight saving begins on ] in New Zealand and ] in Australia |
|
* Daylight saving begins on ] in New Zealand and ] in Australia |
|
|
|
|
|
=== British Isles === |
|
=== British Isles === |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
** ] falls on ], ], ], ] or ] |
|
* ] falls on ], ], ], ] or ] |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
** ] begins on its latest possible date, ] |
|
* ] begins on its latest possible date, ] |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
** ] falls on ] |
|
* ] falls on ] |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
** Daylight saving ends on ] |
|
* Daylight saving ends on ] |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
|
|
|
|
=== Canada === |
|
=== Canada === |
|
** ] begins on ] |
|
* ] begins on ] |
|
** ] falls on ] |
|
* ] falls on ] |
|
** ] falls on ] |
|
* ] falls on ] |
|
** ] falls on ] |
|
* ] falls on ] |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
** ] falls on ] |
|
* ] falls on ] |
|
** ] falls on its latest possible date, ] |
|
* ] falls on its latest possible date, ] |
|
** Daylight saving ends on ] |
|
* Daylight saving ends on ] |
|
|
|
|
|
=== United States === |
|
=== United States === |
|
** ] falls on its earliest possible date, ] |
|
* ] falls on its earliest possible date, ] |
|
** ] falls on ] |
|
* ] falls on ] |
|
** ] begins on ] |
|
* ] begins on ] |
|
** ] falls on ] |
|
* ] falls on ] |
|
** ] falls on ] |
|
* ] falls on ] |
|
** ] falls on ] |
|
* ] falls on ] |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
** ] falls on a ] |
|
* ] falls on a ] |
|
** ] falls on ] |
|
* ] falls on ] |
|
** ] falls on ] |
|
* ] falls on ] |
|
** ] falls on its latest possible date, ] (this is the only year when Martin Luther King Jr. Day and Columbus Day are 39 weeks apart) They are 38 weeks apart in all other years |
|
* ] falls on its latest possible date, ] (this is the only year when Martin Luther King Jr. Day and Columbus Day are 39 weeks apart) They are 38 weeks apart in all other years |
|
** Daylight saving ends on ] |
|
* Daylight saving ends on ] |
|
** ] falls on ] |
|
* ] falls on ] |
|
** ] falls on its latest possible date, ] (this is also the only year when Martin Luther King Jr. Day and Thanksgiving are 318 days apart) They are 311 days apart in all other years |
|
* ] falls on its latest possible date, ] (this is also the only year when Martin Luther King Jr. Day and Thanksgiving are 318 days apart) They are 311 days apart in all other years |
|
|
|
|
|
==References== |
|
==References== |
Additionally, this type of year has three months (January, April, and July) beginning exactly on the first day of the week, in areas which Monday is considered the first day of the week, Common years starting on Friday share this characteristic on the months of February, March, and November.
Like all leap year types, the one starting with 1 January on a Monday 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).