Common year starting on Tuesday
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.
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 |
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.
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
- ↑ 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.
Original source: https://en.wikipedia.org/wiki/Common year starting on Tuesday.
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