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 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.
Calendars
Applicable years Gregorian Calendar 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 1887 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 2287 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 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 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 —
Holidays International Valentine's Day and Halloween falls on a Monday World Day for Grandparents and the Elderly falls on July 24 Christmas Day falls on a Sunday
Roman Catholic Solemnities 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 Wednesday 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 Zealand 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 Isles 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
Canada 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
Denmark The Constitution Day falls on a Sunday
Germany The reunification falls on a Monday
United States 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 Election Day falls on its latest possible date, November 8. This is the only type of common year when Mother’s Day to Election Day are 184 days apart. They are 177 days apart in all other common years. Thanksgiving Day falls on November 24
References