Common year starting on Saturday

Template:Short description A common year starting on Saturday is any non-leap year (i.e. a year with 365 days) that begins on Saturday, 1 January, and ends on Saturday, 31 December. Its dominical letter hence is B. The most recent year of such kind was 2022, and the next one will be 2033 in the Gregorian calendar<ref name="math">{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> or, likewise, 2023 and 2034 in the obsolete Julian calendar. See below for more.

Any common year that starts on Saturday has only one Friday the 13th: the only one in this common year occurs in May. Leap years starting on Friday 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 Tuesday the 13th.

This year has three months (January, May and October) which begin on a weekend-day.

CalendarsEdit

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          |title=Calendar for any common year starting on Saturday, 
presented as common in many English-speaking areas
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          |title=ISO 8601-conformant calendar with week numbers for
any common year starting on Saturday (dominical letter B) preceded by a common year starting on Friday (dominical letter C)
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Applicable yearsEdit

Gregorian CalendarEdit

In the (currently used) Gregorian calendar, alongside Sunday, Monday, Wednesday or Friday, 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 Saturday. The 28-year sub-cycle will break at a century year which is not divisible by 400 (e.g. it broke at the year 1900 but not at the year 2000).

Gregorian common years starting on Saturday
	1st		2nd	3rd		4th		5th	6th		7th		8th	9th	10th
16th century	prior to first adoption (proleptic)													1583	1594
17th century	1605		1611	1622		1633	1639	1650	—		1661	1667	1678	1689	1695
18th century	1701	1707	1718	1729		1735		1746	1757		1763		1774	1785	1791
19th century	1803		1814	1825		1831		1842	1853	1859	-		1870	1881	1898
20th century	—		1910	1921	1927	1938		1949	1955		1966		1977	1983	1994
21st century	2005		2011	2022		2033	2039	2050	—		2061	2067	2078	2089	2095
22nd century	2101	2107	2118	2129		2135		2146	2157		2163		2174	2185	2191
23rd century	2203		2214	2225		2231		2242	2253	2259	-		2270	2281	2298
24th century	—		2310	2321	2327	2338		2349	2355		2366		2377	2383	2394
25th century	2405		2411	2422		2433	2439	2450	—		2461	2467	2478	2489	2495

400-year cycle
0–99	5	11	22	33	39	50	61	67	78	89	95
100–199	101	107	118	129	135	146	157	163	174	185	191
200–299	203	214	225	231	242	253	259	270	281	287	298
300–399	310	321	327	338	349	355	366	377	383	394

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 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 10, 16 and 27 of the cycle are common years beginning on Saturday. 2017 is year 10 of the cycle. Approximately 10.71% of all years are common years starting on Saturday.

Julian common years starting on Saturday
Decade	1st		2nd		3rd		4th		5th		6th		7th		8th		9th		10th
15th century	1401	1407		1418		1429		1435		1446		1457		1463		1474		1485		1491
16th century	1502		1513	1519		1530		—		1541	1547	1558		1569		1575		1586		1597
17th century	1603		1614		1625		1631		1642		1653	1659		1670		—		1681	1687	1698
18th century	1709		1715		1726		1737		1743		1754		1765		1771		1782		1793	1799
19th century	1810		—		1821	1827		1838		1849		1855	1866		1877		1883		1894
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		—

HolidaysEdit

InternationalEdit

Valentine's Day and Halloween fall on a Monday
World Day for Grandparents and the Elderly falls on July 24
Christmas Day falls on a Sunday

Roman Catholic SolemnitiesEdit

Epiphany falls on a Thursday
Candlemas falls on a Wednesday
Saint Joseph's Day falls on a Saturday
The Annunciation of Jesus falls on a Friday
The Nativity of John the Baptist falls on a Friday
The Solemnity of Saints Peter and Paul falls on a Saturday
The Transfiguration of Jesus falls on a Saturday
The Assumption of Mary falls on a Monday
The Exaltation of the Holy Cross falls on a Wednesday
All Saints' Day falls on a Tuesday
All Souls' Day falls on a Wednesday
The Feast of Christ the King falls on its earliest possible date, November 20 (or on October 30 in versions of the calendar between 1925 and 1962)
The First Sunday of Advent falls on its earliest possible date, November 27
The Immaculate Conception falls on a Thursday
Gaudete Sunday falls on its earliest possible date, December 11
Rorate Sunday falls on its earliest possible date, December 18

Australia and New ZealandEdit

Australia Day falls on a Wednesday
Waitangi Day falls on a Sunday
Daylight saving ends on April 3
ANZAC Day falls on a Monday
Mother's Day falls on its earliest possible date, May 8
Father's Day falls on September 4
Daylight saving begins on September 25 in New Zealand and October 2 in Australia

British IslesEdit

Saint David's Day falls on a Tuesday
Mother's Day falls on March 6, March 13, March 20, March 27 or April 3
Daylight saving begins on March 27
Saint Patrick's Day falls on a Thursday
Saint George's Day falls on a Saturday
Father's Day falls on June 19
Orangeman's Day falls on a Tuesday
Daylight saving ends on October 30
Guy Fawkes Night falls on a Saturday
Saint Andrew's Day falls on a Wednesday

CanadaEdit

Daylight saving begins on March 13
Mother's Day falls on its earliest possible date, May 8
Victoria Day falls on May 23
Father's Day falls on June 19
Canada Day falls on a Friday
Labour Day falls on September 5
Thanksgiving Day falls on October 10
Daylight saving ends on November 6

United StatesEdit

Martin Luther King Jr. Day falls on January 17
Presidents' Day falls on its latest possible date, February 21
Daylight saving begins on March 13
Mother's Day falls on its earliest possible date, May 8. This is the only type of year when Presidents’ Day to Mother’s Day are only 76 days apart. They are 83 days apart in all other years
Memorial Day falls on May 30
Juneteenth and Father's Day coincide on Sunday, June 19
Independence Day falls on a Monday
Labor Day falls on September 5
Grandparents' Day falls on September 11
Columbus Day falls on October 10
Daylight saving ends on November 6
Thanksgiving Day falls on November 24

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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