Common year starting on Sunday

Last updated

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.

Contents

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 for any common year starting on Sunday,
presented as common in many English-speaking areas
January
SuMoTuWeThFrSa
1234567
891011121314
15161718192021
22232425262728
293031 
 
February
SuMoTuWeThFrSa
1234
567891011
12131415161718
19202122232425
262728 
 
March
SuMoTuWeThFrSa
1234
567891011
12131415161718
19202122232425
262728293031 
 
April
SuMoTuWeThFrSa
1
2345678
9101112131415
16171819202122
23242526272829
30 
May
SuMoTuWeThFrSa
123456
78910111213
14151617181920
21222324252627
28293031 
 
June
SuMoTuWeThFrSa
123
45678910
11121314151617
18192021222324
252627282930
 
July
SuMoTuWeThFrSa
1
2345678
9101112131415
16171819202122
23242526272829
3031 
August
SuMoTuWeThFrSa
12345
6789101112
13141516171819
20212223242526
2728293031 
 
September
SuMoTuWeThFrSa
12
3456789
10111213141516
17181920212223
24252627282930
 
October
SuMoTuWeThFrSa
1234567
891011121314
15161718192021
22232425262728
293031 
 
November
SuMoTuWeThFrSa
1234
567891011
12131415161718
19202122232425
2627282930 
 
December
SuMoTuWeThFrSa
12
3456789
10111213141516
17181920212223
24252627282930
31 
ISO 8601-conformant calendar with week numbers for
any common year starting on Sunday (dominical letter A)
January
WkMoTuWeThFrSaSu
5201
0102030405060708
0209101112131415
0316171819202122
0423242526272829
053031 
February
WkMoTuWeThFrSaSu
050102030405
0606070809101112
0713141516171819
0820212223242526
092728 
  
March
WkMoTuWeThFrSaSu
090102030405
1006070809101112
1113141516171819
1220212223242526
132728293031 
  
April
WkMoTuWeThFrSaSu
130102
1403040506070809
1510111213141516
1617181920212223
1724252627282930
  
May
WkMoTuWeThFrSaSu
1801020304050607
1908091011121314
2015161718192021
2122232425262728
22293031 
  
June
WkMoTuWeThFrSaSu
2201020304
2305060708091011
2412131415161718
2519202122232425
262627282930 
  
July
WkMoTuWeThFrSaSu
260102
2703040506070809
2810111213141516
2917181920212223
3024252627282930
3131 
August
WkMoTuWeThFrSaSu
31010203040506
3207080910111213
3314151617181920
3421222324252627
3528293031 
  
September
WkMoTuWeThFrSaSu
35010203
3604050607080910
3711121314151617
3818192021222324
39252627282930
  
October
WkMoTuWeThFrSaSu
3901
4002030405060708
4109101112131415
4216171819202122
4323242526272829
443031 
November
WkMoTuWeThFrSaSu
440102030405
4506070809101112
4613141516171819
4720212223242526
4827282930 
  
December
WkMoTuWeThFrSaSu
48010203
4904050607080910
5011121314151617
5118192021222324
5225262728293031
  

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.

Gregorian common years starting on Sunday [1]
Century1st2nd3rd4th5th6th7th8th9th10th
16th century prior to first adoption (proleptic) 1589 1595
17th century 1606 1617 1623 1634 1645 1651 1662 1673 1679 1690
18th century 1702 1713 1719 1730 1741 1747 1758 1769 1775 1786 1797
19th century 1809 1815 1826 1837 1843 1854 1865 1871 1882 1893 1899
20th century 1905 1911 1922 1933 1939 1950 1961 1967 1978 1989 1995
21st century 2006 2017 2023 2034 2045 2051 2062 2073 2079 2090
22nd century 2102 2113 2119 2130 2141 2147 2158 2169 2175 2186 2197
23rd century 2209 2215 2226 2237 2243 2254 2265 2271 2282 2293 2299
24th century 2305 2311 2322 2333 2339 2350 2361 2367 2378 2389 2395
400-year cycle
0–996172334455162737990
100–199102113119130141147158169175186197
200–299209215226237243254265271282293299
300–399305311322333339350361367378389395

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.

Julian common years starting on Sunday
Decade1st2nd3rd4th5th6th7th8th9th10th
15th century 1402 1413 1419 1430 1441 1447 1458 1469 1475 1486 1497
16th century 1503 1514 1525 1531 1542 1553 1559 1570 1581 15871598
17th century16091615162616371643165416651671168216931699
18th century1710172117271738174917551766177717831794
19th century18051811182218331839185018611867187818891895
20th century1906191719231934194519511962197319791990
21st century20012007201820292035204620572063207420852091

Holidays

International

Roman Catholic Solemnities

Australia and New Zealand

British Isles

Canada

United States

References

  1. 1 2 Robert van Gent (2017). "The Mathematics of the ISO 8601 Calendar". Utrecht University, Department of Mathematics. Retrieved 20 July 2017.