Type of solar year
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 ,[ 1] 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 .
Calendar for any common year starting on Sunday, presented as common in many English-speaking areas January Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
February Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
March Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
April Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
May Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
June Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
July Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
August Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
September Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
October Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
November Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
December Su Mo Tu We Th Fr Sa 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
ISO 8601 -conformant calendar with week numbers for any common year starting on Sunday (dominical letter A) January Wk Mo Tu We Th Fr Sa Su 52 01 01 02 03 04 05 06 07 08 02 09 10 11 12 13 14 15 03 16 17 18 19 20 21 22 04 23 24 25 26 27 28 29 05 30 31
February Wk Mo Tu We Th Fr Sa Su 05 01 02 03 04 05 06 06 07 08 09 10 11 12 07 13 14 15 16 17 18 19 08 20 21 22 23 24 25 26 09 27 28
March Wk Mo Tu We Th Fr Sa Su 09 01 02 03 04 05 10 06 07 08 09 10 11 12 11 13 14 15 16 17 18 19 12 20 21 22 23 24 25 26 13 27 28 29 30 31
April Wk Mo Tu We Th Fr Sa Su 13 01 02 14 03 04 05 06 07 08 09 15 10 11 12 13 14 15 16 16 17 18 19 20 21 22 23 17 24 25 26 27 28 29 30
May Wk Mo Tu We Th Fr Sa Su 18 01 02 03 04 05 06 07 19 08 09 10 11 12 13 14 20 15 16 17 18 19 20 21 21 22 23 24 25 26 27 28 22 29 30 31
June Wk Mo Tu We Th Fr Sa Su 22 01 02 03 04 23 05 06 07 08 09 10 11 24 12 13 14 15 16 17 18 25 19 20 21 22 23 24 25 26 26 27 28 29 30
July Wk Mo Tu We Th Fr Sa Su 26 01 02 27 03 04 05 06 07 08 09 28 10 11 12 13 14 15 16 29 17 18 19 20 21 22 23 30 24 25 26 27 28 29 30 31 31
August Wk Mo Tu We Th Fr Sa Su 31 01 02 03 04 05 06 32 07 08 09 10 11 12 13 33 14 15 16 17 18 19 20 34 21 22 23 24 25 26 27 35 28 29 30 31
September Wk Mo Tu We Th Fr Sa Su 35 01 02 03 36 04 05 06 07 08 09 10 37 11 12 13 14 15 16 17 38 18 19 20 21 22 23 24 39 25 26 27 28 29 30
October Wk Mo Tu We Th Fr Sa Su 39 01 40 02 03 04 05 06 07 08 41 09 10 11 12 13 14 15 42 16 17 18 19 20 21 22 43 23 24 25 26 27 28 29 44 30 31
November Wk Mo Tu We Th Fr Sa Su 44 01 02 03 04 05 45 06 07 08 09 10 11 12 46 13 14 15 16 17 18 19 47 20 21 22 23 24 25 26 48 27 28 29 30
December Wk Mo Tu We Th Fr Sa Su 48 01 02 03 49 04 05 06 07 08 09 10 50 11 12 13 14 15 16 17 51 18 19 20 21 22 23 24 52 25 26 27 28 29 30 31
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.
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
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.
Julian common years starting on Sunday Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th 15th century 1402 1413 1419 1430 — 1441 1447 1458 1469 1475 1486 1497 16th century 1503 1514 1525 1531 1542 1553 1559 1570 — 1581 1587 1598 17th century 1609 1615 1626 1637 1643 1654 1665 1671 1682 1693 1699 18th century 1710 — 1721 1727 1738 1749 1755 1766 1777 1783 1794 19th century 1805 1811 1822 1833 1839 1850 — 1861 1867 1878 1889 1895 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
Roman Catholic Solemnities [ edit ] Australia and New Zealand [ edit ]
Year starts Common years Leap years 1 Jan Count Ratio 31 Dec DL DD Count Ratio 31 Dec DL DD Count Ratio Sun 58 14.50 % Sun A Tue 43 10.75 % Mon AG Wed 15 0 3.75 % Sat 56 14.00 % Sat B Mon 43 10.75 % Sun BA Tue 13 0 3.25 % Fri 58 14.50 % Fri C Sun 43 10.75 % Sat CB Mon 15 0 3.75 % Thu 57 14.25 % Thu D Sat 44 11.00 % Fri DC Sun 13 0 3.25 % Wed 57 14.25 % Wed E Fri 43 10.75 % Thu ED Sat 14 0 3.50 % Tue 58 14.50 % Tue F Thu 44 11.00 % Wed FE Fri 14 0 3.50 % Mon 56 14.00 % Mon G Wed 43 10.75 % Tue GF Thu 13 0 3.25 % ∑ 400 100.0 % 303 75.75 % 97 24.25 %