Common year starting on Wednesday

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, Friday or Saturday has only one Friday the 13th: the only one in this common year occurs in June. Leap years starting on Tuesday share this characteristic.

Any common year that starts on Tuesday, Wednesday or Sunday has only one Tuesday the 13th: the only one in this common year occurs in May. Leap years starting on Tuesday share this characteristic.

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

Calendar for any common year starting on Wednesday,
presented as common in many English-speaking areas
January
SuMoTuWeThFrSa
01020304
05060708091011
12131415161718
19202122232425
262728293031 
 
February
SuMoTuWeThFrSa
01
02030405060708
09101112131415
16171819202122
232425262728
 
March
SuMoTuWeThFrSa
01
02030405060708
09101112131415
16171819202122
23242526272829
3031 
April
SuMoTuWeThFrSa
0102030405
06070809101112
13141516171819
20212223242526
27282930 
 
May
SuMoTuWeThFrSa
010203
04050607080910
11121314151617
18192021222324
25262728293031
 
June
SuMoTuWeThFrSa
01020304050607
08091011121314
15161718192021
22232425262728
2930 
 
July
SuMoTuWeThFrSa
0102030405
06070809101112
13141516171819
20212223242526
2728293031 
 
August
SuMoTuWeThFrSa
0102
03040506070809
10111213141516
17181920212223
24252627282930
31 
September
SuMoTuWeThFrSa
010203040506
07080910111213
14151617181920
21222324252627
282930 
 
October
SuMoTuWeThFrSa
01020304
05060708091011
12131415161718
19202122232425
262728293031 
 
November
SuMoTuWeThFrSa
01
02030405060708
09101112131415
16171819202122
23242526272829
30 
December
SuMoTuWeThFrSa
010203040506
07080910111213
14151617181920
21222324252627
28293031 
 
ISO 8601-conformant calendar with week numbers for
any common year starting on Wednesday (dominical letter E)
January
WkMoTuWeThFrSaSu
010102030405
0206070809101112
0313141516171819
0420212223242526
052728293031 
  
February
WkMoTuWeThFrSaSu
050102
0603040506070809
0710111213141516
0817181920212223
092425262728
  
March
WkMoTuWeThFrSaSu
090102
1003040506070809
1110111213141516
1217181920212223
1324252627282930
1431 
April
WkMoTuWeThFrSaSu
14010203040506
1507080910111213
1614151617181920
1721222324252627
18282930 
  
May
WkMoTuWeThFrSaSu
1801020304
1905060708091011
2012131415161718
2119202122232425
22262728293031 
  
June
WkMoTuWeThFrSaSu
2201
2302030405060708
2409101112131415
2516171819202122
2623242526272829
2730 
July
WkMoTuWeThFrSaSu
27010203040506
2807080910111213
2914151617181920
3021222324252627
3128293031 
  
August
WkMoTuWeThFrSaSu
31010203
3204050607080910
3311121314151617
3418192021222324
3525262728293031
  
September
WkMoTuWeThFrSaSu
3601020304050607
3708091011121314
3815161718192021
3922232425262728
402930 
  
October
WkMoTuWeThFrSaSu
400102030405
4106070809101112
4213141516171819
4320212223242526
442728293031 
  
November
WkMoTuWeThFrSaSu
440102
4503040506070809
4610111213141516
4717181920212223
4824252627282930
  
December
WkMoTuWeThFrSaSu
4901020304050607
5008091011121314
5115161718192021
5222232425262728
01293031 
  

Applicable years

Gregorian Calendar

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]
Decade1st2nd3rd4th5th6th7th8th9th10th
16th centuryprior to first adoption (proleptic)15861597
17th century16031614162516311642165316591670168116871698
18th century17101721172717381749175517661777178317941800
19th century1806181718231834184518511862187318791890
20th century19021913191919301941194719581969197519861997
21st century20032014202520312042205320592070208120872098
22nd century21102121212721382149215521662177218321942200
23rd century2206221722232234224522512262227322792290
24th century23022313231923302341234723582369237523862397
400-year cycle
0–99314253142535970818798
100–199110121127138149155166177183194
200–299200206217223234245251262273279290
300–399302313319330341347358369375386397

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 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
Decade1st2nd3rd4th5th6th7th8th9th10th
15th century1410142114271438144914551466147714831494
16th century15051511152215331539155015611567157815891595
17th century1606161716231634164516511662167316791690
18th century17011707171817291735174617571763177417851791
19th century18021813181918301841184718581869187518861897
20th century19031914192519311942195319591970198119871998
21st century20092015202620372043205420652071208220932099

Holidays

International

Roman Catholic Solemnities

Australia and New Zealand

British Isles

Canada

United States

References