Leap year starting on Friday

From HandWiki

A leap year starting on Friday is any year with 366 days (i.e. it includes 29 February) that begins on Friday 1 January and ends on Saturday 31 December. Its dominical letters hence are CB. The most recent year of such kind was 2016 and the next one will be 2044 in the Gregorian calendar[1] or, likewise, 2000 and 2028 in the obsolete Julian calendar. Any leap year that starts on Tuesday, Friday or Saturday has only one Friday the 13th: the only one in this leap year occurs in May. Common years starting on Saturday share this characteristic.

In this type of year, all dates (except 29 February) fall on their respective weekdays 58 times in the 400 year Gregorian calendar cycle. Leap years starting on Sunday share this characteristic.

Calendars

Applicable years

Gregorian Calendar

Leap years that begin on Friday, along with those starting on Sunday, occur most frequently: 15 of the 97 (≈ 15.46%) total leap years in a 400-year cycle of the Gregorian calendar. Thus, their overall occurrence is 3.75% (15 out of 400).

Gregorian leap years starting on Friday[1]
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
16th century prior to first adoption (proleptic) 1588
17th century 1616 1644 1672
18th century 1712 1740 1768 1796
19th century 1808 1836 1864 1892
20th century 1904 1932 1960 1988
21st century 2016 2044 2072
22nd century 2112 2140 2168 2196
23rd century 2208 2236 2264 2292
24th century 2304 2332 2360 2388
25th century 2416 2444 2472
26th century 2512 2540 2568 2596
400-year cycle
0–99 16 44 72
100–199 112 140 168 196
200–299 208 236 264 292
300–399 304 332 360 388

Julian Calendar

Like all leap year types, the one starting with 1 January on a Friday 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 Friday
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
15th century 1412 1440 1468 1496
16th century 1524 1552 1580
17th century 1608 1636 1664 1692
18th century 1720 1748 1776
19th century 1804 1832 1860 1888
20th century 1916 1944 1972 2000
21st century 2028 2056 2084
22nd century 2112 2140 2168 2196


Holidays

International

    • Valentine's Day falls on a Sunday. This is the only type of leap year when Valentine’s Day falls in ISO week 6. They fall in ISO week 7 in all other leap years.
    • The leap day (February 29) falls on a Monday
    • World Day for Grandparents and the Elderly falls on July 24
    • Halloween falls on a Monday
    • Christmas Day falls on a Sunday. This is the only type of leap year when Christmas Day falls in ISO week 51. They fall in ISO week 52 in all other leap years.

Roman Catholic Solemnities

    • Epiphany falls on a Wednesday
    • Candlemas falls on a Tuesday
    • Saint Joseph's Day falls on a Saturday
    • The Annunciation of Jesus falls on a Friday
    • The Nativity of John the Baptist falls on a Friday
    • The Solemnity of Saints Peter and Paul falls on a Saturday
    • The Transfiguration of Jesus falls on a Saturday
    • The Assumption of Mary falls on a Monday
    • The Exaltation of the Holy Cross falls on a Wednesday
    • All Saints' Day falls on a Tuesday
    • All Souls' Day falls on a Wednesday
    • The Feast of Christ the King falls on its earliest possible date, November 20 (or on October 30 in versions of the calendar between 1925 and 1962)
    • The First Sunday of Advent falls on its earliest possible date, November 27. This is the only leap year when The First Sunday of Advent falls in ISO week 47. They fall in ISO week 48 in all other leap years.
    • The Immaculate Conception falls on a Thursday
    • Gaudete Sunday falls on its earliest possible date, December 11. This is the only leap year when Gaduete Sunday falls in ISO week 49. They fall in ISO week 50 in all other leap years.
    • Rorate Sunday falls on its earliest possible date, December 18. This is the only leap year when Rorate Sunday falls in ISO week 50. They fall in ISO week 51 in all other leap years.

Australia and New Zealand

    • Australia Day falls on a Tuesday
    • Waitangi Day falls on a Saturday
    • Daylight saving ends on April 3
    • ANZAC Day falls on a Monday
    • Mother's Day falls on its earliest possible date, May 8. This is the only leap year when Mother’s Day falls in ISO week 18. They fall in ISO week 19 in all other leap years.
    • Father's Day falls on September 4
    • Daylight saving begins on September 25 in New Zealand and October 2 in Australia

British Isles

    • Saint David's Day falls on a Tuesday
    • Mother's Day falls on March 6, March 13, March 20, March 27 or April 3
    • Daylight saving begins on March 27
    • Saint Patrick's Day falls on a Thursday
    • Saint George's Day falls on a Saturday
    • Father's Day falls on June 19
    • Orangeman's Day falls on a Tuesday
    • Daylight saving ends on October 30
    • Guy Fawkes Night falls on a Saturday
    • Saint Andrew's Day falls on a Wednesday

Canada

    • Daylight saving begins on March 13
    • Mother's Day falls on its earliest possible date, May 8. This is the only leap year when Mother’s Day falls in ISO week 18. They fall in ISO week 19 in all other leap years
    • Victoria Day falls on May 23
    • Father's Day falls on June 19
    • Canada Day falls on a Friday
    • Labour Day falls on September 5
    • Thanksgiving Day falls on October 10
    • Daylight saving ends on November 6

United States

    • Martin Luther King Jr. Day falls on January 18
    • President's Day falls on its earliest possible date, February 15. This is the only leap year when President’s Day falls in ISO week 7. They fall in ISO week 8 in all other leap years. This is also the only leap year when Labor Day that precedes this type of year to President’s Day in this type of year are only 23 weeks apart. They are 24 weeks apart in all other leap years
    • Daylight saving begins on March 13
    • Mother's Day falls on its earliest possible date, May 8. This is the only leap year when Mother’s Day falls in ISO week 18. They fall in ISO week 19 in all other leap years.
    • Memorial Day falls on May 30
    • Juneteenth and Father's Day coincide on Sunday, June 19. This is the only leap year when Juneteenth falls in ISO week 24. They fall in ISO week 25 in all other leap years.
    • Independence Day falls on a Monday
    • Labor Day falls on September 5
    • Grandparents' Day falls on September 11
    • Columbus Day falls on October 10
    • Daylight saving ends on November 6
    • Election Day falls on its latest possible date, November 8
    • Thanksgiving Day falls on November 24

References

  1. ↑ 1.0 1.1 Robert van Gent (2017). "The Mathematics of the ISO 8601 Calendar". Utrecht University, Department of Mathematics. https://webspace.science.uu.nl/~gent0113/calendar/isocalendar.htm. 



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