Common year starting on Sunday

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 a Sunday has two Friday the 13ths: those two in this common year occur in January and October.

Calendars

Calendar for any common year starting on Sunday, presented as common in many English-speaking areas
January Su Mo Tu We Th Fr Sa 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31	February Su Mo Tu We Th Fr Sa 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28	March Su Mo Tu We Th Fr Sa 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31	April Su Mo Tu We Th Fr Sa 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
May Su Mo Tu We Th Fr Sa 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31	June Su Mo Tu We Th Fr Sa 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30	July Su Mo Tu We Th Fr Sa 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31	August Su Mo Tu We Th Fr Sa 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
September Su Mo Tu We Th Fr Sa 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30	October Su Mo Tu We Th Fr Sa 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31	November Su Mo Tu We Th Fr Sa 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30	December Su Mo Tu We Th Fr Sa 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

ISO 8601-conformant calendar with week numbers for any common year starting on Sunday (dominical letter A)
January Wk Mo Tu We Th Fr Sa Su 52 01 01 02 03 04 05 06 07 08 02 09 10 11 12 13 14 15 03 16 17 18 19 20 21 22 04 23 24 25 26 27 28 29 05 30 31	February Wk Mo Tu We Th Fr Sa Su 05 01 02 03 04 05 06 06 07 08 09 10 11 12 07 13 14 15 16 17 18 19 08 20 21 22 23 24 25 26 09 27 28	March Wk Mo Tu We Th Fr Sa Su 09 01 02 03 04 05 10 06 07 08 09 10 11 12 11 13 14 15 16 17 18 19 12 20 21 22 23 24 25 26 13 27 28 29 30 31	April Wk Mo Tu We Th Fr Sa Su 13 01 02 14 03 04 05 06 07 08 09 15 10 11 12 13 14 15 16 16 17 18 19 20 21 22 23 17 24 25 26 27 28 29 30
May Wk Mo Tu We Th Fr Sa Su 18 01 02 03 04 05 06 07 19 08 09 10 11 12 13 14 20 15 16 17 18 19 20 21 21 22 23 24 25 26 27 28 22 29 30 31	June Wk Mo Tu We Th Fr Sa Su 22 01 02 03 04 23 05 06 07 08 09 10 11 24 12 13 14 15 16 17 18 25 19 20 21 22 23 24 25 26 26 27 28 29 30	July Wk Mo Tu We Th Fr Sa Su 26 01 02 27 03 04 05 06 07 08 09 28 10 11 12 13 14 15 16 29 17 18 19 20 21 22 23 30 24 25 26 27 28 29 30 31 31	August Wk Mo Tu We Th Fr Sa Su 31 01 02 03 04 05 06 32 07 08 09 10 11 12 13 33 14 15 16 17 18 19 20 34 21 22 23 24 25 26 27 35 28 29 30 31
September Wk Mo Tu We Th Fr Sa Su 35 01 02 03 36 04 05 06 07 08 09 10 37 11 12 13 14 15 16 17 38 18 19 20 21 22 23 24 39 25 26 27 28 29 30	October Wk Mo Tu We Th Fr Sa Su 39 01 40 02 03 04 05 06 07 08 41 09 10 11 12 13 14 15 42 16 17 18 19 20 21 22 43 23 24 25 26 27 28 29 44 30 31	November Wk Mo Tu We Th Fr Sa Su 44 01 02 03 04 05 45 06 07 08 09 10 11 12 46 13 14 15 16 17 18 19 47 20 21 22 23 24 25 26 48 27 28 29 30	December Wk Mo Tu We Th Fr Sa Su 48 01 02 03 49 04 05 06 07 08 09 10 50 11 12 13 14 15 16 17 51 18 19 20 21 22 23 24 52 25 26 27 28 29 30 31

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. Robert van Gent (2017). "The Mathematics of the ISO 8601 Calendar". Utrecht University, Department of Mathematics. Retrieved 20 July 2017.