Common year starting on Monday

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File:January_1900_calendar.jpg

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.

Any common year that starts on Monday has two Friday the 13ths: those two in this common year occur in April and July.{{Globalize-inline|date=May 2022}}

From July of the year in this type of year to September in the year that follows this type of year is the longest period that occurs without a Friday the 13th, unless the following year is a leap year starting on Tuesday, in which case the gap only 11 months, as the next Friday the 13th is already in June.

This type of year has three instances of Tuesday the 13th: in February, March and November. Leap years starting on Thursday have this characteristic in January, April and July.

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

Calendars

{{calendar|year=2018|show_year=off|title=Calendar for any common year starting on Monday,
presented as common in many English-speaking areas }}

{{calendar|year=2018|show_year=off|format=iso|row=3|zero=0|title=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, 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.

class="wikitable"

|+ Gregorian common years starting on Monday{{cite web|url=https://webspace.science.uu.nl/~gent0113/calendar/isocalendar.htm |author=Robert van Gent |title=The Mathematics of the ISO 8601 Calendar |publisher=Utrecht University, Department of Mathematics |date=2017 |accessdate=20 July 2017}}

!scope=row| Decade

!colspan=2| 1st !! 2nd !!colspan=2| 3rd !! 4th !! 5th !!colspan=2| 6th !! 7th !!colspan=2| 8th !!colspan=2| 9th !!colspan=2| 10th

style="opacity: 0.5;"

! style="background-color:#efefef;" | 16th century

|colspan=14| prior to first adoption (proleptic)

colspan=2| 1590
style="opacity: 0.5;"

! style="background-color:#efefef;" | 17th century

| 1601

16071618colspan=2| 162916351646colspan=2| 16571663colspan=2| 1674colspan=2| 1685colspan=2| 1691
style="background-color:#efefef;" | 18th century

|colspan=2| 1703 || 1714 ||colspan=2| 1725 || 1731 || 1742 || 1753 || 1759 || — ||colspan=2| 1770 || 1781 || 1787 ||colspan=2| 1798

style="background-color:#efefef;" | 19th century

|colspan=2| — || 1810 || 1821 || 1827 || 1838 || 1849 ||colspan=2| 1855 || 1866 ||colspan=2| 1877 ||colspan=2| 1883 || 1894 ||colspan| 1900

style="background-color:#efefef;" | 20th century

|colspan=2| 1906 || 1917 ||colspan=2| 1923 || 1934 || 1945 ||colspan=2| 1951 || 1962 || 1973 || 1979 ||colspan=2| — ||colspan=2| 1990

style="background-color:#efefef;" | 21st century

| 2001 || 2007 || 2018 ||colspan=2|2029 || 2035 || 2046 || colspan=2| 2057 || 2063 ||colspan=2| 2074 ||colspan=2| 2085 ||colspan=2| 2091

style="background-color:#efefef;" | 22nd century

|colspan=2| 2103 || 2114 ||colspan=2| 2125 || 2131 || 2142 || 2153 || 2159 || — ||colspan=2| 2170 || 2181 || 2187 ||colspan=2| 2198

style="background-color:#efefef;" | 23rd century

|colspan=2| — || 2210 || 2221 || 2227 || 2238 || 2249 ||colspan=2| 2255 || 2266 ||colspan=2| 2277 ||colspan=2| 2283 || 2294 ||colspan| 2300

style="background-color:#efefef;" | 24th century

|colspan=2| 2306 || 2317 ||colspan=2| 2323 || 2334 || 2345 ||colspan=2| 2351 || 2362 || 2373 || 2379 ||colspan=2| — ||colspan=2| 2390

class="wikitable"

|+ 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.

class="wikitable"

|+ Julian common years starting on Monday

!scope=row| Decade

!colspan=2| 1st !!colspan=2| 2nd !!colspan=2| 3rd !!colspan=2| 4th !!colspan=2| 5th !!colspan=2| 6th !!colspan=2| 7th !!colspan=2| 8th !!colspan=2| 9th !!colspan=2| 10th

style="background-color:#efefef;" | 15th century

|colspan=2| 1403 ||colspan=2| 1414 ||colspan=2| 1425 ||colspan=2| 1431 ||colspan=2| 1442 || 1453 || 1459 ||colspan=2| 1470 ||colspan=2| — || 1481 || 1487 ||colspan=2| 1498

style="background-color:#efefef;" | 16th century

|colspan=2| 1509 ||colspan=2| 1515 ||colspan=2| 1526 ||colspan=2| 1537 ||colspan=2| 1543 ||colspan=2| 1554 ||colspan=2| 1565 ||colspan=2|1571 ||colspan=2| 1582 || 1593 || 1599

style="background-color:#efefef;" | 17th century

|colspan=2| 1610 ||colspan=2| — || 1621 || 1627 ||colspan=2| 1638 ||colspan=2| 1649 ||colspan=2| 1655 ||colspan=2| 1666 ||colspan=2| 1677 ||colspan=2| 1683 ||colspan=2| 1694

style="background-color:#efefef;" | 18th century

|colspan=2| 1705 ||colspan=2| 1711 ||colspan=2| 1722 || 1733 || 1739 ||colspan=2| 1750 ||colspan=2| — || 1761 || 1767 ||colspan=2| 1778 ||colspan=2| 1789 ||colspan=2| 1795

style="background-color:#efefef;" | 19th century

|colspan=2| 1806 ||colspan=2| 1817 ||colspan=2| 1823 ||colspan=2| 1834 ||colspan=2| 1845 ||colspan=2| 1851 ||colspan=2| 1862 || 1873 || 1879 ||colspan=2| 1890 ||colspan=2| —

style="background-color:#efefef;" | 20th century

| 1901 || 1907 ||colspan=2| 1918 ||colspan=2| 1929 ||colspan=2| 1935 ||colspan=2| 1946 ||colspan=2| 1957 ||colspan=2| 1963 ||colspan=2| 1974 ||colspan=2| 1985 ||colspan=2| 1991

style="background-color:#efefef;" | 21st century

|colspan=2| 2002 || 2013 || 2019 ||colspan=2| 2030 ||colspan=2| — || 2041 || 2047 ||colspan=2| 2058 ||colspan=2| 2069 ||colspan=2| 2075 ||colspan=2| 2086 ||colspan=2| 2097

Holidays

= International =

= Roman Catholic Solemnities =

= Australia and New Zealand =

= British Isles =

= Canada =

= United States =

References

{{Reflist}}

{{List of calendars}}

{{DEFAULTSORT:Common Year Starting On Monday}}

Category:Gregorian calendar

Category:Julian calendar

Category:Monday