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Common year starting on Wednesday

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A common year starting on Wednesday is any non-leap year (a year with 365 days) that begins on Wednesday, 1 January, and ends on Wednesday, 31 December. Its dominical letter hence is E. The most recent year of such kind was 2014 and the next one will be 2025 in the Gregorian calendar[1] or, likewise, 2015 and 2026 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 begin on, and occurs in century years that yield a remainder of 200 when divided by 400. The most recent such year was 1800 and the next one will be 2200.

Any common year that starts on Wednesday has only one Friday the 13th: the only one in this common year occurs in June.

This is the only type of year in which all dates fall on their respective weekdays 57 times in the 400 year Gregorian Calendar cycle.

Calendars

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Calendar for any common year starting on Wednesday,
presented as common in many English-speaking areas
January
Su Mo Tu We Th Fr Sa
01 02 03 04
05 06 07 08 09 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
01
02 03 04 05 06 07 08
09 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
01
02 03 04 05 06 07 08
09 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
01 02 03 04 05
06 07 08 09 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
01 02 03
04 05 06 07 08 09 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
01 02 03 04 05 06 07
08 09 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
01 02 03 04 05
06 07 08 09 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
01 02
03 04 05 06 07 08 09
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
01 02 03 04 05 06
07 08 09 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
01 02 03 04
05 06 07 08 09 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
01
02 03 04 05 06 07 08
09 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
01 02 03 04 05 06
07 08 09 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 Wednesday (dominical letter E)
January
Wk Mo Tu We Th Fr Sa Su
01 01 02 03 04 05
02 06 07 08 09 10 11 12
03 13 14 15 16 17 18 19
04 20 21 22 23 24 25 26
05 27 28 29 30 31  
   
February
Wk Mo Tu We Th Fr Sa Su
05 01 02
06 03 04 05 06 07 08 09
07 10 11 12 13 14 15 16
08 17 18 19 20 21 22 23
09 24 25 26 27 28
   
March
Wk Mo Tu We Th Fr Sa Su
09 01 02
10 03 04 05 06 07 08 09
11 10 11 12 13 14 15 16
12 17 18 19 20 21 22 23
13 24 25 26 27 28 29 30
14 31  
April
Wk Mo Tu We Th Fr Sa Su
14 01 02 03 04 05 06
15 07 08 09 10 11 12 13
16 14 15 16 17 18 19 20
17 21 22 23 24 25 26 27
18 28 29 30  
   
May
Wk Mo Tu We Th Fr Sa Su
18 01 02 03 04
19 05 06 07 08 09 10 11
20 12 13 14 15 16 17 18
21 19 20 21 22 23 24 25
22 26 27 28 29 30 31  
   
June
Wk Mo Tu We Th Fr Sa Su
22 01
23 02 03 04 05 06 07 08
24 09 10 11 12 13 14 15
25 16 17 18 19 20 21 22
26 23 24 25 26 27 28 29
27 30  
July
Wk Mo Tu We Th Fr Sa Su
27 01 02 03 04 05 06
28 07 08 09 10 11 12 13
29 14 15 16 17 18 19 20
30 21 22 23 24 25 26 27
31 28 29 30 31  
   
August
Wk Mo Tu We Th Fr Sa Su
31 01 02 03
32 04 05 06 07 08 09 10
33 11 12 13 14 15 16 17
34 18 19 20 21 22 23 24
35 25 26 27 28 29 30 31
   
September
Wk Mo Tu We Th Fr Sa Su
36 01 02 03 04 05 06 07
37 08 09 10 11 12 13 14
38 15 16 17 18 19 20 21
39 22 23 24 25 26 27 28
40 29 30  
   
October
Wk Mo Tu We Th Fr Sa Su
40 01 02 03 04 05
41 06 07 08 09 10 11 12
42 13 14 15 16 17 18 19
43 20 21 22 23 24 25 26
44 27 28 29 30 31  
   
November
Wk Mo Tu We Th Fr Sa Su
44 01 02
45 03 04 05 06 07 08 09
46 10 11 12 13 14 15 16
47 17 18 19 20 21 22 23
48 24 25 26 27 28 29 30
   
December
Wk Mo Tu We Th Fr Sa Su
49 01 02 03 04 05 06 07
50 08 09 10 11 12 13 14
51 15 16 17 18 19 20 21
52 22 23 24 25 26 27 28
01 29 30 31  
   

Applicable years

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Gregorian Calendar

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

Gregorian common years starting on Wednesday[1]
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
16th century prior to first adoption (proleptic) 1586 1597
17th century 1603 1614 1625 1631 1642 1653 1659 1670 1681 1687 1698
18th century 1710 1721 1727 1738 1749 1755 1766 1777 1783 1794 1800
19th century 1806 1817 1823 1834 1845 1851 1862 1873 1879 1890
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
22nd century 2110 2121 2127 2138 2149 2155 2166 2177 2183 2194 2200
23rd century 2206 2217 2223 2234 2245 2251 2262 2273 2279 2290
24th century 2302 2313 2319 2330 2341 2347 2358 2369 2375 2386 2397
400-year cycle
0–99 3 14 25 31 42 53 59 70 81 87 98
100–199 110 121 127 138 149 155 166 177 183 194
200–299 200 206 217 223 234 245 251 262 273 279 290
300–399 302 313 319 330 341 347 358 369 375 386 397

Julian Calendar

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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 2, 8 and 19 of the cycle are common years beginning on Wednesday. 2017 is year 10 of the cycle. Approximately 10.71% of all years are common years beginning on Wednesday.

Julian common years starting on Wednesday
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
15th century 1410 1421 1427 1438 1449 1455 1466 1477 1483 1494
16th century 1505 1511 1522 1533 1539 1550 1561 1567 1578 1589 1595
17th century 1606 1617 1623 1634 1645 1651 1662 1673 1679 1690
18th century 1701 1707 1718 1729 1735 1746 1757 1763 1774 1785 1791
19th century 1802 1813 1819 1830 1841 1847 1858 1869 1875 1886 1897
20th century 1903 1914 1925 1931 1942 1953 1959 1970 1981 1987 1998
21st century 2009 2015 2026 2037 2043 2054 2065 2071 2082 2093 2099

Holidays

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International

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Roman Catholic Solemnities

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Australia and New Zealand

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British Isles

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Canada

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United States

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References

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  1. ^ a b Robert van Gent (2017). "The Mathematics of the ISO 8601 Calendar". Utrecht University, Department of Mathematics. Retrieved 20 July 2017.