Common year starting on Sunday

Template:Short description 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,<ref name="math">{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> 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.

This year has four months (January, April, July and October) which begin on a weekend-day.

CalendarsEdit

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presented as common in many English-speaking areas
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any common year starting on Sunday (dominical letter A)
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Applicable yearsEdit

Gregorian CalendarEdit

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<ref name="math"/>
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 CalendarEdit

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

HolidaysEdit

InternationalEdit

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
Earliest Easter Sunday falls on March 26, latest Easter Sunday falls on April 23

Roman Catholic SolemnitiesEdit

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 ZealandEdit

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

ReferencesEdit

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1 Jan	Count	Ratio	31 Dec	DL	DD	Count	Ratio	31 Dec	DL	DD	Count	Ratio
Year starts			Common years					Leap years
Sun	58	14.50 %	Sun	A	Tue	43	10.75 %	Mon	AG	Wed	15	Template:03.75 %
Mon	56	14.00 %	Mon	G	Wed	43	10.75 %	Tue	GF	Thu	13	Template:03.25 %
Tue	58	14.50 %	Tue	F	Thu	44	11.00 %	Wed	FE	Fri	14	Template:03.50 %
Wed	57	14.25 %	Wed	E	Fri	43	10.75 %	Thu	ED	Sat	14	Template:03.50 %
Thu	57	14.25 %	Thu	D	Sat	44	11.00 %	Fri	DC	Sun	13	Template:03.25 %
Fri	58	14.50 %	Fri	C	Sun	43	10.75 %	Sat	CB	Mon	15	Template:03.75 %
Sat	56	14.00 %	Sat	B	Mon	43	10.75 %	Sun	BA	Tue	13	Template:03.25 %
∑	400	100.0 %				303	75.75 %				97	24.25 %

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