Common year starting on Friday

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A common year starting on Friday is any non-leap year (i.e. a year with 365 days) that begins on Friday, 1 January, and ends on Friday, 31 December. Its dominical letter hence is C. The most recent year of such kind was 2021, and the next one will be 2027 in the Gregorian calendar,{{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 |access-date=20 July 2017}} or, likewise, 2022 and 2033 in the obsolete Julian calendar; see below for more. This common year is one of the three possible common years in which a century year can end on, and occurs in century years that yield a remainder of 100 when divided by 400. The most recent such year was 1700, and the next one will be 2100.

Any common year that starts on Friday has only one Friday the 13th: the only one in this common year occurs in August. Leap years starting on Thursday share this characteristic, but also have another one in February.

From July of the year that precedes this type of year until September in this type of year is the longest period (14 months) that occurs without a Friday the 17th. Leap years starting on Tuesday share this characteristic, from August of the common year that precedes it to October in that type of year). This type of year also has the longest period (also 14 months) without a Tuesday the 13th, from July of this year until September of the next common year (that being on Saturday), unless the next year is a leap year (which is also a Saturday), then the period is reduced to only 11 months.

From February until March in this type of year is also the shortest period (one month) that runs between two months that begin exactly on the first day of the week, in areas where Monday is regarded the first day of the week.

This is the one of two types of years overall where a rectangular February is possible, in places where Monday is considered to be the first day of the week. Common years starting on Thursday share this characteristic, when Sunday is considered to be the first day of the week.

Additionally, this type of year has three months (February, March and November) beginning exactly on the first day of the week, in areas which Monday is considered the first day of the week. Leap years starting on Monday share this characteristic on the months of January, April and July.

Calendars

{{calendar|year=2021|show_year=off|title=Calendar for any common year starting on Friday,
presented as common in many English-speaking areas}}

{{calendar|year=2021|show_year=off|format=iso|row=3|zero=0|title=ISO 8601-conformant calendar with week numbers for
any common year starting on Friday (dominical letter C)}}

This is the only year type where the nth "Doomsday" (this year Sunday) is not in ISO week n; it is in ISO week n-1.

Applicable years

= Gregorian calendar =

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

For this kind of year, the ISO week 10 (which begins March 8) and all subsequent ISO weeks occur later than in all other years, and exactly one week later than Leap years starting on Thursday. Also, the ISO weeks in January and February occur later than all other common years, but leap years starting on Friday share this characteristic in January and February, until ISO week 8.

class="wikitable"

|+ Gregorian common years starting on Friday

!scope=row| Decade

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

16th century

|colspan=12| prior to first adoption (proleptic) || 1582 || 1593 || 1599

17th century

| 1610 ||colspan=2| — || 1621 || 1627 || 1638 ||colspan=2| 1649 || 1655 || 1666 ||colspan=2| 1677 || 1683 || 1694 || 1700

18th century

| 1706 ||colspan=2| 1717 ||colspan=2| 1723 || 1734 ||colspan=2| 1745 || 1751 || 1762 || 1773 || 1779 || 1790 ||colspan=2| —

19th century

| 1802 || 1813 || 1819 ||colspan=2| 1830 || — || 1841 || 1847 || 1858 || 1869 ||colspan=2| 1875 || 1886 ||colspan=2| 1897

20th century

| 1909 ||colspan=2| 1915 ||colspan=2| 1926 || 1937 ||colspan=2| 1943 || 1954 || 1965 ||colspan=2| 1971 || 1982 || 1993 || 1999

21st century

| – ||colspan=2|2010 || 2021 || 2027 || 2038 ||colspan=2| 2049 || 2055 || 2066 ||colspan=2| 2077 || 2083 || 2094 || 2100

22nd century

| 2106 ||colspan=2| 2117 ||colspan=2| 2123 || 2134 ||colspan=2| 2145 || 2151 || 2162 || 2173 || 2179 || 2190 ||colspan=2| —

23rd century

| 2202 || 2213 || 2219 ||colspan=2| 2230 || — || 2241 || 2247 || 2258 || 2269 ||colspan=2| 2275 || 2286 ||colspan=2| 2297

24th century

| 2309 ||colspan=2| 2315 ||colspan=2| 2326 || 2337 ||colspan=2| 2343 || 2354 || 2365 ||colspan=2| 2371 || 2382 || 2393 || 2399

class="wikitable"

|+ 400-year cycle

0–99

| 10 || 21 || 27 || 38 || 49 || 55 || 66 || 77 || 83 || 94 ||

100–199

| 100 || 106 || 117 || 123 || 134 || 145 || 151 || 162 || 173 || 179 || 190

200–299

| 202 || 213 || 219 || 230 || 241 || 247 || 258 || 269 || 275 || 286 || 297

300–399

| 309 || 315 || 326 || 337 || 343 || 354 || 365 || 371 || 382 || 393 || 399

= 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). 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 4, 15 and 26 of the cycle are common years beginning on Friday. 2017 is year 10 of the cycle. Approximately 10.71% of all years are common years beginning on Friday.

class="wikitable"

|+ Julian common years starting on Friday

!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

15th century

|colspan=2| 1406 ||colspan=2| 1417 ||colspan=2| 1423 ||colspan=2| 1434 ||colspan=2| 1445 ||colspan=2| 1451 ||colspan=2| 1462 || 1473 || 1479 ||colspan=2| 1490 ||colspan=2| —

16th century

| 1501 || 1507 ||colspan=2| 1518 ||colspan=2| 1529 ||colspan=2| 1535 ||colspan=2| 1546 ||colspan=2| 1557 ||colspan=2| 1563 ||colspan=2| 1574 ||colspan=2| 1585 ||colspan=2| 1591

17th century

|colspan=2| 1602 || 1613 || 1619 ||colspan=2| 1630 ||colspan=2| — || 1641 || 1647 ||colspan=2| 1658 ||colspan=2| 1669 ||colspan=2| 1675 ||colspan=2| 1686 ||colspan=2| 1697

18th century

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

19th century

|colspan=2| 1809 ||colspan=2| 1815 ||colspan=2| 1826 ||colspan=2| 1837 ||colspan=2| 1843 ||colspan=2| 1854 ||colspan=2| 1865 ||colspan=2| 1871 ||colspan=2| 1882 || 1893 || 1899

20th century

|colspan=2| 1910 ||colspan=2| — || 1921 || 1927 ||colspan=2| 1938 ||colspan=2| 1949 ||colspan=2| 1955 ||colspan=2| 1966 ||colspan=2| 1977 ||colspan=2| 1983 ||colspan=2| 1994

21st century

|colspan=2| 2005 ||colspan=2| 2011 ||colspan=2| 2022 || 2033 || 2039 ||colspan=2| 2050 ||colspan=2| — || 2061 || 2067 ||colspan=2| 2078 ||colspan=2| 2089 ||colspan=2| 2095

Holidays

= International =

= Roman Catholic Solemnities =

= Australia and New Zealand =

= British Isles =

= Canada =

= United States =

References

{{Reflist}}

{{List of calendars}}

{{DEFAULTSORT:Common Year Starting On Friday}}

Category:Gregorian calendar

Category:Julian calendar

Category:Friday