Common year starting on Sunday

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

A common year starting on Sunday is any non-leap year (i.e. a year with 365 days) that begins on Sunday, 1 January, and ends on Sunday, 31 December. Its dominical letter hence is A. The most recent year of such kind was 2023 and the next one will be 2034 in the Gregorian calendar,[1] or, likewise, 2018 and 2029 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 January and October.

This is the only common year with three occurrences of Friday the 17th: those three in this common year occur in February, March, and November. Leap years starting on Wednesday share this characteristic, for the months January, April and July. From February until March in this type of year is also the shortest period (one month) that runs between two instances of Friday the 17th.

Calendars

Applicable years

Gregorian Calendar

In the (currently used) Gregorian calendar, alongside Monday, Wednesday, Friday or Saturday, the fourteen types of year (seven common, seven leap) repeat in a 400-year cycle (20871 weeks). Forty-three common years per cycle or exactly 10.75% start on a Sunday. The 28-year sub-cycle only spans across century years divisible by 400, e.g. 1600, 2000, and 2400.

Gregorian common years starting on Sunday[1]
Century 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
16th century prior to first adoption (proleptic) 1589 1595
17th century 1606 1617 1623 1634 1645 1651 1662 1673 1679 1690
18th century 1702 1713 1719 1730 1741 1747 1758 1769 1775 1786 1797
19th century 1809 1815 1826 1837 1843 1854 1865 1871 1882 1893 1899
20th century 1905 1911 1922 1933 1939 1950 1961 1967 1978 1989 1995
21st century 2006 2017 2023 2034 2045 2051 2062 2073 2079 2090
22nd century 2102 2113 2119 2130 2141 2147 2158 2169 2175 2186 2197
23rd century 2209 2215 2226 2237 2243 2254 2265 2271 2282 2293 2299
24th century 2305 2311 2322 2333 2339 2350 2361 2367 2378 2389 2395
400-year cycle
0–99 6 17 23 34 45 51 62 73 79 90
100–199 102 113 119 130 141 147 158 169 175 186 197
200–299 209 215 226 237 243 254 265 271 282 293 299
300–399 305 311 322 333 339 350 361 367 378 389 395

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, as 29 February has no letter). This sequence occurs exactly 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 11, 22 and 28 of the cycle are common years beginning on Sunday. 2017 is year 10 of the cycle. Approximately 10.71% of all years are common years beginning on Sunday.

Julian common years starting on Sunday
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
15th century 1402 1413 1419 1430 1441 1447 1458 1469 1475 1486 1497
16th century 1503 1514 1525 1531 1542 1553 1559 1570 1581 1587 1598
17th century 1609 1615 1626 1637 1643 1654 1665 1671 1682 1693 1699
18th century 1710 1721 1727 1738 1749 1755 1766 1777 1783 1794
19th century 1805 1811 1822 1833 1839 1850 1861 1867 1878 1889 1895
20th century 1906 1917 1923 1934 1945 1951 1962 1973 1979 1990
21st century 2001 2007 2018 2029 2035 2046 2057 2063 2074 2085 2091

Holidays

International

    • Valentine's Day falls on a Tuesday
    • World Day for Grandparents and the Elderly falls on July 23
    • Halloween falls on a Tuesday
    • Christmas Day falls on a Monday

Roman Catholic Solemnities

    • Epiphany falls on a Friday
    • Candlemas falls on a Thursday
    • Saint Joseph's Day falls on a Sunday
    • The Annunciation of Jesus falls on a Saturday
    • The Nativity of John the Baptist falls on a Saturday
    • The Solemnity of Saints Peter and Paul falls on a Thursday
    • The Transfiguration of Jesus falls on a Sunday
    • The Assumption of Mary falls on a Tuesday
    • The Exaltation of the Holy Cross falls on a Thursday
    • All Saints' Day falls on a Wednesday
    • All Souls' Day falls on a Thursday
    • The Feast of Christ the King falls on its latest possible date, November 26 (or on October 29 in versions of the calendar between 1925 and 1962)
    • The First Sunday of Advent falls on its latest possible date, December 3
    • The Immaculate Conception falls on a Friday
    • Gaudete Sunday falls on its latest possible date, December 17
    • Rorate Sunday falls on its latest possible date, December 24

Australia and New Zealand

    • Australia Day falls on a Thursday
    • Waitangi Day falls on a Monday
    • Daylight saving ends on April 2
    • ANZAC Day falls on a Tuesday
    • Mother's Day falls on its latest possible date, May 14
    • Father's Day falls on September 3
    • Daylight saving begins on its earliest possible date, September 24 in New Zealand and October 1 in Australia

British Isles

    • Saint David's Day falls on a Wednesday
    • Mother's Day falls on March 5, March 12, March 19, March 26 or April 2
    • Daylight saving begins on March 26
    • Saint Patrick's Day falls on a Friday
    • Saint George's Day falls on a Sunday
    • Father's Day falls on June 18
    • Orangeman's Day falls on a Wednesday
    • Daylight saving ends on October 29
    • Guy Fawkes Night falls on a Sunday
    • Saint Andrew's Day falls on a Thursday

Canada

    • Daylight saving begins on March 12
    • Mother's Day falls on its latest possible date, May 14
    • Victoria Day falls on May 22
    • Father's Day falls on June 18
    • Canada Day falls on a Saturday
    • Labour Day falls on September 4
    • Thanksgiving Day falls on October 9
    • Daylight saving ends on November 5

United States

    • Martin Luther King Jr. Day falls on January 16
    • President's Day falls on February 20
    • Daylight saving begins on March 12
    • Mother's Day falls on its latest possible date, May 14
    • Memorial Day falls on May 29
    • Father's Day falls on June 18
    • Juneteenth falls on a Monday
    • Independence Day falls on a Tuesday
    • Labor Day falls on September 4
    • Grandparents' Day falls on September 10
    • Columbus Day falls on October 9
    • Daylight saving ends on November 5
    • Thanksgiving Day falls on November 23

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. Retrieved 20 July 2017.