Type of solar year
A common year starting on Tuesday is any non-leap year (i.e. a year with 365 days) that begins on Tuesday , 1 January, and ends on Tuesday, 31 December. Its dominical letter hence is F . The most recent year of such kind was 2019 and the next one will be 2030 , or, likewise, 2014 and 2025 in the obsolete Julian calendar , see below for more .
Any common year that starts on Tuesday has two Friday the 13ths : those two in this common year occur in September and December . From July of the year that precedes this year until September in this type of year is the longest period (14 months) that occurs without a Friday the 13th . Leap years starting on Saturday share this characteristic, from August of the common year that precedes it to October in that type of year.
Calendars [ edit ] Calendar for any common year starting on Tuesday, 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 Tuesday (dominical letter F) January Wk Mo Tu We Th Fr Sa Su 01 01 02 03 04 05 06 02 07 08 09 10 11 12 13 03 14 15 16 17 18 19 20 04 21 22 23 24 25 26 27 05 28 29 30 31
February Wk Mo Tu We Th Fr Sa Su 05 01 02 03 06 04 05 06 07 08 09 10 07 11 12 13 14 15 16 17 08 18 19 20 21 22 23 24 09 25 26 27 28
March Wk Mo Tu We Th Fr Sa Su 09 01 02 03 10 04 05 06 07 08 09 10 11 11 12 13 14 15 16 17 12 18 19 20 21 22 23 24 13 25 26 27 28 29 30 31
April Wk Mo Tu We Th Fr Sa Su 14 01 02 03 04 05 06 07 15 08 09 10 11 12 13 14 16 15 16 17 18 19 20 21 17 22 23 24 25 26 27 28 18 29 30
May Wk Mo Tu We Th Fr Sa Su 18 01 02 03 04 05 19 06 07 08 09 10 11 12 20 13 14 15 16 17 18 19 21 20 21 22 23 24 25 26 22 27 28 29 30 31
June Wk Mo Tu We Th Fr Sa Su 22 01 02 23 03 04 05 06 07 08 09 24 10 11 12 13 14 15 16 25 17 18 19 20 21 22 23 26 24 25 26 27 28 29 30
July Wk Mo Tu We Th Fr Sa Su 27 01 02 03 04 05 06 07 28 08 09 10 11 12 13 14 29 15 16 17 18 19 20 21 30 22 23 24 25 26 27 28 31 29 30 31
August Wk Mo Tu We Th Fr Sa Su 31 01 02 03 04 32 05 06 07 08 09 10 11 33 12 13 14 15 16 17 18 34 19 20 21 22 23 24 25 35 26 27 28 29 30 31
September Wk Mo Tu We Th Fr Sa Su 35 01 36 02 03 04 05 06 07 08 37 09 10 11 12 13 14 15 38 16 17 18 19 20 21 22 39 23 24 25 26 27 28 29 40 30
October Wk Mo Tu We Th Fr Sa Su 40 01 02 03 04 05 06 41 07 08 09 10 11 12 13 42 14 15 16 17 18 19 20 43 21 22 23 24 25 26 27 44 28 29 30 31
November Wk Mo Tu We Th Fr Sa Su 44 01 02 03 45 04 05 06 07 08 09 10 46 11 12 13 14 15 16 17 47 18 19 20 21 22 23 24 48 25 26 27 28 29 30
December Wk Mo Tu We Th Fr Sa Su 48 01 49 02 03 04 05 06 07 08 50 09 10 11 12 13 14 15 51 16 17 18 19 20 21 22 52 23 24 25 26 27 28 29 01 30 31
Applicable years [ edit ] Gregorian Calendar [ edit ] In the (currently used) Gregorian calendar, along with Thursday , the fourteen types of year (seven common, seven leap) repeat in a 400-year cycle (20871 weeks). Forty-four common years per cycle or exactly 11% start on a Tuesday. The 28-year sub-cycle only spans across century years divisible by 400, e.g. 1600, 2000, and 2400.
400-year cycle 0–99 2 13 19 30 41 47 58 69 75 86 97 100–199 109 115 126 137 143 154 165 171 182 193 199 200–299 205 211 222 233 239 250 261 267 278 289 295 300–399 301 307 318 329 335 346 357 363 374 385 391
Julian Calendar [ edit ] 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 in the Church of England as 29 February has no letter). Each of the seven two-letter sequences occurs 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 7, 18 and 24 of the cycle are common years beginning on Tuesday. 2017 is year 10 of the cycle. Approximately 10.71% of all years are common years beginning on Tuesday.
Julian common years starting on Tuesday Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th 15th century 1409 1415 1426 1437 1443 1454 1465 1471 1482 1493 1499 16th century 1510 — 1521 1527 1538 1549 1555 1566 1577 1583 1594 17th century 1605 1611 1622 1633 1639 1650 — 1661 1667 1678 1689 1695 18th century 1706 1717 1723 1734 1745 1751 1762 1773 1779 1790 — 19th century 1801 1807 1818 1829 1835 1846 1857 1863 1874 1885 1891 20th century 1902 1913 1919 1930 — 1941 1947 1958 1969 1975 1986 1997 21st century 2003 2014 2025 2031 2042 2053 2059 2070 — 2081 2087 2098
Holidays [ edit ] International [ edit ] Roman Catholic Solemnities [ edit ] Australia and New Zealand [ edit ] British Isles [ edit ] United States [ edit ] References [ 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 %