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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 %