Common year starting on Monday

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

A common year starting on Monday is any non-leap year (i.e., a year with 365 days) that begins on Monday, 1 January, and ends on Monday, 31 December. Its dominical letter hence is G. The most recent year of such kind was 2018 and the next one will be 2029 in the Gregorian calendar, or likewise, 2019 and 2030 in the Julian calendar, see below for more. This common year is one of the three possible common years in which a century year can begin on and occurs in century years that yield a remainder of 300 when divided by 400. The most recent such year was 1900 and the next one will be 2300.

This is the only common year with three occurrences of Tuesday the 13th: those three in this common year occur in February, March, and November. Leap years starting on Thursday 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 Tuesday the 13th.

Any common year that starts on Sunday, Monday or Tuesday has two Friday the 13ths: those two in this common year occur in April and July. Leap years starting on Sunday share this characteristic, but also have another in January.Template:Globalize-inline

Calendars

Applicable years

Gregorian calendar

In the (currently used) Gregorian calendar, along with Sunday, 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 Monday. The 28-year sub-cycle only spans across century years divisible by 400, e.g. 1600, 2000, and 2400.

Gregorian common years starting on Monday[1]
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
16th century prior to first adoption (proleptic) 1590
17th century 1601 1607 1618 1629 1635 1646 1657 1663 1674 1685 1691
18th century 1703 1714 1725 1731 1742 1753 1759 1770 1781 1787 1798
19th century 1810 1821 1827 1838 1849 1855 1866 1877 1883 1894 1900
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
22nd century 2103 2114 2125 2131 2142 2153 2159 2170 2181 2187 2198
23rd century 2210 2221 2227 2238 2249 2255 2266 2277 2283 2294 2300
24th century 2306 2317 2323 2334 2345 2351 2362 2373 2379 2390
400-year cycle
0–99 1 7 18 29 35 46 57 63 74 85 91
100–199 103 114 125 131 142 153 159 170 181 187 198
200–299 210 221 227 238 249 255 266 277 283 294
300–399 300 306 317 323 334 345 351 362 373 379 390

Julian calendar

In the Julian calendar, the fourteen types of year (seven common, seven leap) repeat in a 28-year cycle (1461 weeks). 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 6, 12 and 23 of the cycle are common years beginning on Monday. 2017 is year 10 of the cycle. Approximately 10.71% of all years are common years beginning on Monday.

Julian common years starting on Monday
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
15th century 1403 1414 1425 1431 1442 1453 1459 1470 1481 1487 1498
16th century 1509 1515 1526 1537 1543 1554 1565 1571 1582 1593 1599
17th century 1610 1621 1627 1638 1649 1655 1666 1677 1683 1694
18th century 1705 1711 1722 1733 1739 1750 1761 1767 1778 1789 1795
19th century 1806 1817 1823 1834 1845 1851 1862 1873 1879 1890
20th century 1901 1907 1918 1929 1935 1946 1957 1963 1974 1985 1991
21st century 2002 2013 2019 2030 2041 2047 2058 2069 2075 2086 2097

Holidays

International

    • Valentine's Day falls on a Wednesday
    • World Day for Grandparents and the Elderly falls on its earliest possible date, July 22
    • Halloween falls on a Wednesday
    • Christmas Day falls on a Tuesday

Roman Catholic Solemnities

    • Epiphany falls on a Saturday
    • Candlemas falls on a Friday
    • Saint Joseph's Day falls on a Monday
    • The Annunciation of Jesus falls on a Sunday
    • The Nativity of John the Baptist falls on a Sunday
    • The Solemnity of Saints Peter and Paul falls on a Friday
    • The Transfiguration of Jesus falls on a Monday
    • The Assumption of Mary falls on a Wednesday
    • The Exaltation of the Holy Cross falls on a Friday
    • All Saints' Day falls on a Thursday
    • All Souls' Day falls on a Friday
    • The Feast of Christ the King falls on November 25 (or on October 28 in versions of the calendar between 1925 and 1962)
    • The First Sunday of Advent falls on December 2
    • The Immaculate Conception falls on a Saturday
    • Gaudete Sunday falls on December 16
    • Rorate Sunday falls on December 23

Australia and New Zealand

    • Australia Day falls on a Friday
    • Waitangi Day falls on a Tuesday
    • Daylight saving ends on its earliest possible date, April 1
    • ANZAC Day falls on a Wednesday
    • Mother's Day falls on May 13
    • Father's Day falls on September 2
    • Daylight saving begins on its latest possible date, September 30 in New Zealand and October 7 in Australia – this is the only common year where the period of standard time over the winter months lasts 26 weeks in New Zealand and 27 weeks in Australia (in all other common years, it lasts only 25 weeks in New Zealand and 26 weeks in Australia)

British Isles

    • Saint David's Day falls on a Thursday
    • Mother's Day falls on March 4, March 11, March 18, March 25 or April 1
    • Saint Patrick's Day falls on a Saturday
    • Daylight saving begins on its earliest possible date, March 25
    • Saint George's Day falls on a Monday
    • Father's Day falls on June 17
    • Orangeman's Day falls on a Thursday
    • Daylight saving ends on October 28
    • Guy Fawkes Night falls on a Monday
    • Saint Andrew's Day falls on a Friday

Canada

    • Daylight saving begins on March 11
    • Mother's Day falls on May 13
    • Victoria Day falls on May 21
    • Father's Day falls on June 17
    • Canada Day falls on a Sunday
    • Labour Day falls on September 3
    • Thanksgiving Day falls on its earliest possible date, October 8
    • Daylight saving ends on November 4

United States

    • Martin Luther King Jr. Day falls on its earliest possible date, January 15
    • President's Day falls on February 19
    • Daylight saving begins on March 11
    • Mother's Day falls on May 13
    • Memorial Day falls on May 28
    • Father's Day falls on June 17
    • Juneteenth falls on a Tuesday
    • Independence Day falls on a Wednesday
    • Labor Day falls on September 3
    • Grandparents' Day falls on September 9
    • Columbus Day falls on its earliest possible date, October 8
    • Daylight saving ends on November 4
    • Thanksgiving Day falls on its earliest possible date, November 22

References

  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.