A leap year starting on Sunday is any year with 366 days (i.e. it includes 29 February) that begins on Sunday, 1 January, and ends on Monday, 31 December. Its dominical letters hence are AG, such as the years 1888, 1928, 1956, 1984, 2012, 2040, 2068, 2096, 2108, 2136, 2164, and 2192 in the Gregorian calendar[1] or, likewise, 1996 and 2024 in the obsolete Julian calendar.
This leap year has the most occurrences of Friday the 13th. Common years starting on Thursday share this feature. Each instance of Friday the 13th is three months apart in January, April, and July.
Calendars
Calendar for any leap year starting on Sunday, presented as common in many English-speaking areas |
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January |
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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 |
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February |
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| | | 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 | | |
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March |
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| | | | 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 |
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April |
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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 | |
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May |
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| | 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 |
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June |
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| | | | | 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 |
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July |
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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 |
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August |
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| | | 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 |
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September |
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| | | | | | 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 | |
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October |
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| 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 |
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November |
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| | | | 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 | |
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December |
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| | | | | | 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 |
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ISO 8601-conformant calendar with week numbers for any leap year starting on Sunday (dominical letter AG) |
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January |
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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 |
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April |
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13 |
| | | | | | 01 |
14 |
02 | 03 | 04 | 05 | 06 | 07 | 08 |
15 |
09 | 10 | 11 | 12 | 13 | 14 | 15 |
16 |
16 | 17 | 18 | 19 | 20 | 21 | 22 |
17 |
23 | 24 | 25 | 26 | 27 | 28 | 29 |
18 |
30 | |
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July |
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26 |
| | | | | | 01 |
27 |
02 | 03 | 04 | 05 | 06 | 07 | 08 |
28 |
09 | 10 | 11 | 12 | 13 | 14 | 15 |
29 |
16 | 17 | 18 | 19 | 20 | 21 | 22 |
30 |
23 | 24 | 25 | 26 | 27 | 28 | 29 |
31 |
30 | 31 |
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October |
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40 |
01 | 02 | 03 | 04 | 05 | 06 | 07 |
41 |
08 | 09 | 10 | 11 | 12 | 13 | 14 |
42 |
15 | 16 | 17 | 18 | 19 | 20 | 21 |
43 |
22 | 23 | 24 | 25 | 26 | 27 | 28 |
44 |
29 | 30 | 31 |
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February |
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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 | 29 | | |
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May |
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18 |
| 01 | 02 | 03 | 04 | 05 | 06 |
19 |
07 | 08 | 09 | 10 | 11 | 12 | 13 |
20 |
14 | 15 | 16 | 17 | 18 | 19 | 20 |
21 |
21 | 22 | 23 | 24 | 25 | 26 | 27 |
22 |
28 | 29 | 30 | 31 |
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August |
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31 |
| | 01 | 02 | 03 | 04 | 05 |
32 |
06 | 07 | 08 | 09 | 10 | 11 | 12 |
33 |
13 | 14 | 15 | 16 | 17 | 18 | 19 |
34 |
20 | 21 | 22 | 23 | 24 | 25 | 26 |
35 |
27 | 28 | 29 | 30 | 31 |
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November |
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44 |
| | | 01 | 02 | 03 | 04 |
45 |
05 | 06 | 07 | 08 | 09 | 10 | 11 |
46 |
12 | 13 | 14 | 15 | 16 | 17 | 18 |
47 |
19 | 20 | 21 | 22 | 23 | 24 | 25 |
48 |
26 | 27 | 28 | 29 | 30 | |
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March |
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09 |
| | | 01 | 02 | 03 | 04 |
10 |
05 | 06 | 07 | 08 | 09 | 10 | 11 |
11 |
12 | 13 | 14 | 15 | 16 | 17 | 18 |
12 |
19 | 20 | 21 | 22 | 23 | 24 | 25 |
13 |
26 | 27 | 28 | 29 | 30 | 31 |
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June |
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22 |
| | | | 01 | 02 | 03 |
23 |
04 | 05 | 06 | 07 | 08 | 09 | 10 |
24 |
11 | 12 | 13 | 14 | 15 | 16 | 17 |
25 |
18 | 19 | 20 | 21 | 22 | 23 | 24 |
26 |
25 | 26 | 27 | 28 | 29 | 30 | |
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September |
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35 |
| | | | | 01 | 02 |
36 |
03 | 04 | 05 | 06 | 07 | 08 | 09 |
37 |
10 | 11 | 12 | 13 | 14 | 15 | 16 |
38 |
17 | 18 | 19 | 20 | 21 | 22 | 23 |
39 |
24 | 25 | 26 | 27 | 28 | 29 | 30 |
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December |
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48 |
| | | | | 01 | 02 |
49 |
03 | 04 | 05 | 06 | 07 | 08 | 09 |
50 |
10 | 11 | 12 | 13 | 14 | 15 | 16 |
51 |
17 | 18 | 19 | 20 | 21 | 22 | 23 |
52 |
24 | 25 | 26 | 27 | 28 | 29 | 30 |
01 |
31 |
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Applicable years
Gregorian Calendar
Leap years that begin on Sunday, along with those that start on Friday, occur most frequently: 15 out of the 97 (≈ 15.5%) total leap years in a 400-year cycle of the Gregorian calendar. Thus, the overall occurrence is 3.75% (15 out of 400).
Gregorian year types per leap cycle by Dominical letter (DL)[1] and Doomsday (DD)
Year starts |
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Common years |
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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 | 03.75 % |
Sat |
56 | 14.00 % |
Sat | B | Mon | 43 | 10.75 % |
Sun | BA | Tue | 13 | 03.25 % |
Fri |
58 | 14.50 % |
Fri | C | Sun | 43 | 10.75 % |
Sat | CB | Mon | 15 | 03.75 % |
Thu |
57 | 14.25 % |
Thu | D | Sat | 44 | 11.00 % |
Fri | DC | Sun | 13 | 03.25 % |
Wed |
57 | 14.25 % |
Wed | E | Fri | 43 | 10.75 % |
Thu | ED | Sat | 14 | 03.50 % |
Tue |
58 | 14.50 % |
Tue | F | Thu | 44 | 11.00 % |
Wed | FE | Fri | 14 | 03.50 % |
Mon |
56 | 14.00 % |
Mon | G | Wed | 43 | 10.75 % |
Tue | GF | Thu | 13 | 03.25 % |
∑ |
400 | 100.0 % |
| 303 | 75.75 % |
| 97 | 24.25 % |
Julian Calendar
Like all leap year types, the one starting with 1 January on a Sunday occurs exactly once in a 28-year cycle in the Julian calendar, i.e. in 3.57% of years. 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).