Common Year Starting On Monday
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Common Year Starting On Monday

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, 2013, 2019, and 2030 in the obsolete Julian calendar. The century year, 1900, was also a common year starting on Monday in the Gregorian calendar. See below for more. Any common year that starts on Sunday, Monday or Tuesday has two Friday the 13ths. This common year of this type contains two Friday the 13ths in April and July. Leap years starting on Sunday share this characteristic, but also have another in January.

Calendars

Calendar for any common year starting on Monday,
presented as common in many English-speaking areas


ISO 8601-conformant calendar with week numbers for
any common year starting on Monday (dominical letter G)

Applicable years

Gregorian calendar

In the (currently used) Gregorian calendar, alongside 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 does only span across century years divisible by 400, e.g. 1600, 2000, and 2400.

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 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

References

  1. ^ a b Robert van Gent (2017). "The Mathematics of the ISO 8601 Calendar". Utrecht University, Department of Mathematics. Retrieved 2017.

  This article uses material from the Wikipedia page available here. It is released under the Creative Commons Attribution-Share-Alike License 3.0.

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