Leap year starting on Sunday

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Template:Short description 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. The most recent year of such kind was 2012, and the next one will be 2040 in the Gregorian calendar<ref name="math">Template:Cite web</ref> or, likewise 2024 and 2052 in the obsolete Julian calendar.

This is the only leap year with three occurrences of Friday the 13th: those three in this leap year occur three months (13 weeks) apart: in January, April, and July. Common years starting on Thursday share this characteristic, in the months of February, March, and November.

Additionally, these types of years are the only ones which contain 54 different calendar weeks (2 partial, 52 in full) in areas of the world where Monday is considered the first day of the week.

This year has five months (January, April, July, September and December) which begin on a weekend-day. This is the greatest possible number of months to begin on a weekend-day in a given year; this is the only kind of year in which this occurs.

Calendars

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Applicable years

Gregorian Calendar

Leap years that begin on Sunday, along with those starting on Friday, occur most frequently: 15 of the 97 (≈ 15.46%) total leap years in a 400-year cycle of the Gregorian calendar. Thus, their overall occurrence is 3.75% (15 out of 400).

Gregorian leap years starting on Sunday<ref name=math/>
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
16th century prior to first adoption (proleptic) 1584
17th century 1612 1640 1668 1696
18th century 1708 1736 1764 1792
19th century 1804 1832 1860 1888
20th century 1928 1956 1984
21st century 2012 2040 2068 2096
22nd century 2108 2136 2164 2192
23rd century 2204 2232 2260 2288
24th century 2328 2356 2384
25th century 2412 2440 2468 2496
26th century 2508 2536 2564 2592
27th century 2604 2632 2660 2688
400-year cycle
0–99 12 40 68 96
100–199 108 136 164 192
200–299 204 232 260 288
300–399 328 356 384

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, it will also repeat after 700 years, i.e., 25 cycles. The formula gives the year's position in the cycle ((year + 8) mod 28) + 1).

Julian leap years starting on Sunday
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
15th century 1408 1436 1464 1492
16th century 1520 1548 1576
17th century 1604 1632 1660 1688
18th century 1716 1744 1772 1800
19th century 1828 1856 1884
20th century 1912 1940 1968 1996
21st century 2024 2052 2080
22nd century 2108 2136 2164 2192

Holidays

International

Roman Catholic Solemnities

Australia and New Zealand

British Isles

Canada

United States

References

Template:Commons category Template:Reflist Template:List of calendars