Common year starting on Sunday

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A common year starting on Sunday is any non-leap year (i.e. a year with 365 days) that begins on Sunday, 1 January, and ends on Sunday, 31 December. Its dominical letter hence is A. The most recent year of such kind was 2023, and the next one will be 2034 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 |accessdate=20 July 2017}} or, likewise, 2018 and 2029 in the obsolete Julian calendar, see below for more.

Any common year that starts on a Sunday has two Friday the 13ths: those two in this common year occur in January and October.

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

Calendars

{{calendar|year=2023|show_year=off|title=Calendar for any common year starting on Sunday,
presented as common in many English-speaking areas}}

{{calendar|year=2023|show_year=off|format=iso|row=3|zero=0|title=ISO 8601-conformant calendar with week numbers for
any common year starting on Sunday (dominical letter A)}}

Applicable years

= Gregorian Calendar =

In the (currently used) Gregorian calendar, alongside Monday, 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 Sunday. 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 Sunday

!scope=row| Century

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

style="opacity: 0.5;"

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

|colspan=13| prior to first adoption (proleptic)

1589colspan=2| 1595
style="opacity: 0.5;"

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

| 1606

colspan=2| 16171623colspan=2| 1634colspan=2| 16451651colspan=2| 166216731679colspan=2| 1690
style="background-color:#efefef;" | 18th century

| 1702 || 1713 || 1719 || — ||colspan=2| 1730 || 1741 || 1747 || 1758 ||colspan=2| 1769 ||colspan=2| 1775 || 1786 ||colspan=2| 1797

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

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

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

| 1905 ||colspan=2| 1911 || 1922 || 1933 || 1939 ||colspan=2| — || 1950 || 1961 || 1967 ||colspan=2| 1978 || 1989 ||colspan=2| 1995

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

| 2006 ||colspan=2| 2017 || 2023 ||colspan=2| 2034 ||colspan=2| 2045 || 2051 ||colspan=2| 2062 || 2073 || 2079 || — ||colspan=2| 2090

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

| 2102 || 2113 || 2119 || — ||colspan=2| 2130 || 2141 || 2147 || 2158 ||colspan=2| 2169 ||colspan=2| 2175 || 2186 ||colspan=2| 2197

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

| 2209 ||colspan=2| 2215 || 2226 ||colspan=2| 2237 ||colspan=2| 2243 || 2254 ||colspan=2| 2265 ||colspan=2| 2271 || 2282 || 2293 || 2299

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

| 2305 ||colspan=2| 2311 || 2322 || 2333 || 2339 ||colspan=2| — || 2350 || 2361 || 2367 ||colspan=2| 2378 || 2389 ||colspan=2| 2395

class="wikitable"

|+ 400-year cycle

0–99

| 6 || 17 || 23 || 34 || 45 || 51 || 62 || 73 || 79 || 90 ||

100–199

| 102 || 113 || 119 || 130 || 141 || 147 || 158 || 169 || 175 || 186 || 197

200–299

| 209 || 215 || 226 || 237 || 243 || 254 || 265 || 271 || 282 || 293 || 299

300–399

| 305 || 311 || 322 || 333 || 339 || 350 || 361 || 367 || 378 || 389 || 395

= 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 11, 22 and 28 of the cycle are common years beginning on Sunday. 2017 is year 10 of the cycle. Approximately 10.71% of all years are common years beginning on Sunday.

class="wikitable"

|+ Julian common years starting on Sunday

!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| 1402 || 1413 || 1419 ||colspan=2| 1430 ||colspan=2| — || 1441 || 1447 ||colspan=2| 1458 ||colspan=2| 1469 ||colspan=2| 1475 ||colspan=2| 1486 ||colspan=2| 1497

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

|colspan=2| 1503 ||colspan=2| 1514 ||colspan=2| 1525 ||colspan=2| 1531 ||colspan=2| 1542 || 1553 || 1559 ||colspan=2| 1570 ||colspan=2| — || 1581 || 1587 ||colspan=2| 1598

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

|colspan=2| 1609 ||colspan=2| 1615 ||colspan=2| 1626 ||colspan=2| 1637 ||colspan=2| 1643 ||colspan=2| 1654 ||colspan=2| 1665 ||colspan=2| 1671 ||colspan=2| 1682 || 1693 || 1699

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

|colspan=2| 1710 ||colspan=2| — || 1721 || 1727 ||colspan=2| 1738 ||colspan=2| 1749 ||colspan=2| 1755 ||colspan=2| 1766 ||colspan=2| 1777 ||colspan=2| 1783 ||colspan=2| 1794

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

|colspan=2| 1805 ||colspan=2| 1811 ||colspan=2| 1822 || 1833 || 1839 ||colspan=2| 1850 ||colspan=2| — || 1861 || 1867 ||colspan=2| 1878 ||colspan=2| 1889 ||colspan=2| 1895

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

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

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

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

Holidays

= International =

= Roman Catholic Solemnities =

= Australia and New Zealand =

= British Isles =

= Canada =

= United States =

References

{{reflist}}

{{List of calendars}}

{{DEFAULTSORT:Common Year Starting On Sunday}}

Category:Gregorian calendar

Category:Julian calendar

Category:Sunday