Common year starting on Tuesday

From HandWiki
Short description: Type of year F on a solar calendar according to its starting and ending days in the week

A common year starting on Tuesday is any non-leap year (i.e. a year with 365 days) that begins on Tuesday, 1 January, and ends on Tuesday, 31 December. Its dominical letter hence is F. The most recent year of such kind was 2019 and the next one will be 2030, or, likewise, 2014 and 2025 in the obsolete Julian calendar, see below for more.

Any common year that starts on Sunday, Monday or Tuesday has two Friday the 13ths: those two in this common year occur in September and December. Leap years starting on Monday share this characteristic. From July of the year that precedes this year until September in this type of year is the longest period (14 months) that occurs without a Friday the 13th. Leap years starting on Saturday share this characteristic, from August of the common year that precedes it to October in that type of year.

Calendars

Applicable years

Gregorian Calendar

In the (currently used) Gregorian calendar, along with Thursday, the fourteen types of year (seven common, seven leap) repeat in a 400-year cycle (20871 weeks). Forty-four common years per cycle or exactly 11% start on a Tuesday. The 28-year sub-cycle only spans across century years divisible by 400, e.g. 1600, 2000, and 2400.

Gregorian common years starting on Tuesday[1]
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
17th century 1602 1613 1619 1630 1641 1647 1658 1669 1675 1686 1697
18th century 1709 1715 1726 1737 1743 1754 1765 1771 1782 1793 1799
19th century 1805 1811 1822 1833 1839 1850 1861 1867 1878 1889 1895
20th century 1901 1907 1918 1929 1935 1946 1957 1963 1974 1985 1991
21st century 2002 2013 2019 2030 2041 2047 2058 2069 2075 2086 2097
22nd century 2109 2115 2126 2137 2143 2154 2165 2171 2182 2193 2199
23rd century 2205 2211 2222 2233 2239 2250 2261 2267 2278 2289 2295
24th century 2301 2307 2318 2329 2335 2346 2357 2363 2374 2385 2391
400-year cycle
0–99 2 13 19 30 41 47 58 69 75 86 97
100–199 109 115 126 137 143 154 165 171 182 193 199
200–299 205 211 222 233 239 250 261 267 278 289 295
300–399 301 307 318 329 335 346 357 363 374 385 391

Julian Calendar

In the now-obsolete Julian calendar, the fourteen types of year (seven common, seven leap) repeat in a 28-year cycle (1461 weeks). A leap year has two adjoining dominical letters (one for January and February and the other for March to December in the Church of England as 29 February has no letter). Each of the seven two-letter sequences occurs once within a cycle, and every common letter thrice.

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). Years 7, 18 and 24 of the cycle are common years beginning on Tuesday. 2017 is year 10 of the cycle. Approximately 10.71% of all years are common years beginning on Tuesday.

Julian common years starting on Tuesday
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
15th century 1409 1415 1426 1437 1443 1454 1465 1471 1482 1493 1499
16th century 1510 1521 1527 1538 1549 1555 1566 1577 1583 1594
17th century 1605 1611 1622 1633 1639 1650 1661 1667 1678 1689 1695
18th century 1706 1717 1723 1734 1745 1751 1762 1773 1779 1790
19th century 1801 1807 1818 1829 1835 1846 1857 1863 1874 1885 1891
20th century 1902 1913 1919 1930 1941 1947 1958 1969 1975 1986 1997
21st century 2003 2014 2025 2031 2042 2053 2059 2070 2081 2087 2098

Holidays

International

  • Valentine's Day falls on a Thursday
  • World Day for Grandparents and the Elderly falls on its latest possible date, July 28
  • Halloween falls on a Thursday
  • Christmas Day falls on a Wednesday

Roman Catholic Solemnities

  • Epiphany falls on a Sunday
  • Candlemas falls on a Saturday
  • Saint Joseph's Day falls on a Tuesday
  • The Annunciation of Jesus falls on a Monday
  • The Nativity of John the Baptist falls on a Monday
  • The Solemnity of Saints Peter and Paul falls on a Saturday
  • The Transfiguration of Jesus falls on a Tuesday
  • The Assumption of Mary falls on a Thursday
  • The Exaltation of the Holy Cross falls on a Saturday
  • All Saints' Day falls on a Friday
  • All Souls' Day falls on a Saturday
  • The Feast of Christ the King falls on November 24 (or on October 27 in versions of the calendar between 1925 and 1962)
  • The First Sunday of Advent falls on December 1
  • The Immaculate Conception falls on a Sunday
  • Gaudete Sunday falls on December 15
  • Rorate Sunday falls on December 22

Australia and New Zealand

  • Australia Day falls on a Saturday
  • Waitangi Day falls on a Wednesday
  • Daylight saving ends on its latest possible date, April 7
  • ANZAC Day falls on a Thursday
  • Mother's Day falls on May 12
  • Father's Day falls on its earliest possible date, September 1
  • Daylight saving begins on September 29 in New Zealand and October 6 in Australia

British Isles

  • Saint David's Day falls on a Friday
  • Mother's Day falls on March 3, March 10, March 17, March 24 or March 31
  • Saint Patrick's Day falls on a Sunday
  • Daylight saving begins on its latest possible date, March 31
  • Saint George's Day falls on a Tuesday
  • Father's Day falls on June 16
  • Orangeman's Day falls on a Friday
  • Daylight saving ends on October 27
  • Guy Fawkes Night falls on a Tuesday
  • Saint Andrew's Day falls on a Saturday

Canada

  • Daylight saving begins on March 10
  • Mother's Day falls on May 12
  • Victoria Day falls on May 20
  • Father's Day falls on June 16
  • Canada Day falls on a Monday
  • Labour Day falls on September 2
  • Thanksgiving Day falls on its latest possible date, October 14
  • Daylight saving ends on November 3

United States

  • Martin Luther King Jr. Day falls on its latest possible date, January 21.
  • President's Day falls on February 18
  • Daylight saving begins on March 10
  • Mother's Day falls on May 12
  • Memorial Day falls on May 27
  • Father's Day falls on June 16
  • Juneteenth falls on a Wednesday
  • Independence Day falls on a Thursday
  • Labor Day falls on September 2
  • Grandparents' Day falls on September 8
  • Columbus Day falls on its latest possible date, October 14
  • Daylight saving ends on November 3
  • Thanksgiving Day falls on its latest possible date, November 28

References

  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.