Leap_year_starting_on_Thursday

Leap year starting on Thursday

Leap year starting on Thursday

Type of year DC on a solar calendar

A leap year starting on Thursday is any year with 366 days (i.e. it includes 29 February) that begins on Thursday 1 January, and ends on Friday 31 December. Its dominical letters hence are DC. The most recent year of such kind was 2004 and the next one will be 2032 in the Gregorian calendar[1] or, likewise, 2016 and 2044 in the obsolete Julian calendar.

This is the only year in which February has five Sundays, as the leap day adds that extra Sunday.

This is the only leap year with three occurrences of Tuesday the 13th: those three in this leap year occur three months (13 weeks) apart: in January, April, and July. Common years starting on Monday share this characteristic, in the months of February, March, and November.

Along with its common year counterpart, the gap between July of this year until the next common year (14 months) is the longest time between Tuesday the 13th's, so from July of this year until September of the next year, as in 2004-05 or 2032-33 for example. This also applies for common years starting on Friday, unless the next leap year falls on a Saturday, in this case, the gap is reduced to only 11 months, as in 2027-28 for example.

Any leap year that starts on Monday, Wednesday or Thursday has two Friday the 13ths: those two in this leap year occur in February and August.

If this year occurs, the leap day falls on a Sunday (similar to its common year equivalent), transitioning it from what it would appear to be a common year starting on Thursday to the next common year after the previous one, so March 1 would start on a Monday, like it would be on its common year equivalent (March to December of this type of year aligns with the common year equivalent, that should've happened 5 years earlier in order for this type of leap year to start due to the cyclical nature of the calendar.) The previous leap year would have to have been on a Saturday due to the Gregorian Calendar's cyclical nature.

Calendars

More information Calendar for any leap year starting on Thursday, presented as common in many English-speaking areas, January ...
More information ISO 8601-conformant calendar with week numbers for any leap year starting on Thursday (dominical letter DC), January ...

Applicable years

Gregorian Calendar

Leap years that begin on Thursday, along with those starting on Monday and Saturday, occur least frequently: 13 out of 97 (≈ 13.402%) total leap years in a 400-year cycle of the Gregorian calendar. Their overall occurrence is thus 3.25% (13 out of 400).

For this kind of year, the corresponding ISO year has 53 weeks, and the ISO week 10 (which begins March 1) and all subsequent ISO weeks occur earlier than in all other years, and exactly one week earlier than common years starting on Friday, for example, June 20 falls on week 24 in common years starting on Friday, but on week 25 in leap years starting on Thursday, despite falling on Sunday in both types of year. That means that moveable holidays may occur one calendar week later than otherwise possible, e.g. Gregorian Easter Sunday in week 17 in years when it falls on April 25 and which are also leap years, falling on week 16 in common years.[2]

More information Decade, 1st ...
More information 0–99, 100–199 ...

Julian Calendar

Like all leap year types, the one starting with 1 January on a Thursday 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).

More information Decade, 1st ...
Wikimedia Commons has media related to Leap years starting on Thursday and ending on Friday.

Holidays

International

Roman Catholic Solemnities

Australia and New Zealand

British Isles

Canada

    • Daylight saving begins on its latest possible date, March 14. This is the only year when Daylight Saving Time begins in ISO week 11. They begin in ISO week 10 in all other years.
    • Mother's Day falls on May 9
    • Victoria Day falls on its latest possible date, May 24. This is the only year when Victoria Day falls in ISO week 22. They fall in ISO week 21 in all other years. This is also the only year when Labour Day that precedes this type of year to Victoria Day in this type of year are 38 weeks apart. They are 37 weeks apart in all other years. This is also the only year when Father's Day that precedes this type of year to Victoria Day in this type of year are 344 days apart. They are 337 days apart in all other years.
    • Father's Day falls on June 20
    • Canada Day falls on a Thursday
    • Labour Day falls on September 6
    • Thanksgiving Day falls on October 11
    • Daylight saving ends on its latest possible date, November 7. This is the only year when Daylight Saving Time ends in ISO week 45. They end in ISO week 44 in all other years.

United States

    • Martin Luther King Jr. Day falls on January 19
    • President's Day falls on February 16
    • Daylight saving begins on its latest possible date, March 14. This is the only year when Daylight Saving Time begins in ISO week 11. They begin in ISO week 10 in all other years. This is also the only type of year where Labor Day that precedes this type of year to start of Daylight Saving Time is 195 days apart. They are 188 days apart in all other years. This is also the only type of year where Grandparent's Day that precedes this type of year to start of Daylight Saving Time is 27 weeks apart. They are 26 weeks apart in all other years. This is also the only type of year where Father's Day that precedes this type of year to start of Daylight Saving Time is 39 weeks apart. They are 38 weeks apart in all other years.
    • Mother's Day falls on May 9
    • Memorial Day falls on its latest possible date, May 31. This is the only year when Memorial Day falls in ISO week 23. They fall in ISO week 22 in all other years. This is also the only type of year where Labor Day that precedes this type of year to Memorial Day in this type of year are 39 weeks apart. They are 38 weeks apart in all other years. This is also the only type of year where Grandparent's Day that precedes this type of year to Memorial Day in this type of year are 267 days apart. They are 260 days apart in all other years. This is also the only type of year where Father's Day that precedes this type of year to Memorial Day in this type of year is 351 days apart. They are 344 days apart in all other years.
    • Juneteenth falls on a Saturday
    • Father's Day falls on June 20
    • Independence Day falls on a Sunday
    • Labor Day falls on September 6
    • Grandparents' Day falls on September 12
    • Columbus Day falls on October 11
    • Election Day falls on its earliest possible date, November 2. This is the only leap year to have Election Day fall during Daylight Saving Time.
    • Daylight saving ends on its latest possible date, November 7. This is the only year when Daylight Saving Time ends in ISO week 45. They end in ISO week 44 in all other years
    • Thanksgiving Day falls on November 25

References

  1. [1]
    Robert van Gent (2017). "The Mathematics of the ISO 8601 Calendar". Utrecht University, Department of Mathematics. Retrieved 20 July 2017.
  2. [2]
    Leap years when Easter Sunday falls on April 25 are only possible years when Easter Sunday can fall on week 17.
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