Leap year starting on Wednesday explained

A leap year starting on Wednesday is any year with 366 days (i.e. it includes 29 February) that begins on Wednesday 1 January and ends on Thursday 31 December. Its dominical letters hence are ED. The most recent year of such kind was 2020 and the next one will be 2048 in the Gregorian calendar, or likewise, 2004 and 2032 in the obsolete Julian calendar, see below for more.[1]

Any leap year that starts on Monday, Wednesday or Thursday has two Friday the 13ths: those two in this leap year occur in March and November. Common years starting on Thursday share this characteristic, but also have another in February.

Leap years starting on Sunday also share a similar characteristic to this type of leap year, three Friday the 13th's have a three month gap between them, the former two being in the common year preceding this type of leap year, those being September and December, and the latter being in this type of year, that being March. Leap years starting on Sunday share this by having January, April and July three months apart from each other.

This is the only leap year with three occurrences of Friday the 17th: those three in this leap year occur three months (13 weeks) apart: in January, April, and July. Common years starting on Sunday share this characteristic, in the months of February, March, and November.

From August of the common year preceding that year until October in this type of year is also the longest period (14 months) that occurs without a Tuesday the 13th as in 2019-20. Common years starting on Saturday share this characteristic, from July of the year that precedes it to September in that type of year.

If this year occurs, the leap day falls on a Saturday (similar to its common year equivalent), transitioning it from what it would appear to be a common year starting on Wednesday to the next common year after the previous one, so March 1 would start on a Sunday, like it would be on its common year equivalent (March to December of this type of year aligns with the common year equivalent, that may have happened 5 years earlier.) The previous leap year would have to have been on a Friday due to the Gregorian Calendar's cyclical nature.

Applicable years

Gregorian Calendar

Leap years that begin on Wednesday, along with those starting on Tuesday, occur at a rate of approximately 14.43% (14 out of 97) of all total leap years in a 400-year cycle of the Gregorian calendar. Thus, their overall occurrence is 3.5% (14 out of 400).

For this kind of year, the corresponding ISO year has 53 weeks.

Decade! 1st !! 2nd !! 3rd !! 4th !! 5th !! 6th !! 7th !! 8th !! 9th !! 10th
16th centuryprior to first adoption (proleptic)1592
17th century162016481676
18th century
19th century1896
20th century1992
21st century
22nd century
23rd century2296
24th century2392
25th century
26th century
27th century2612 2696
400-year cycle
0–9920 48 76
100–199116 144 172
200–299212 240 268 296
300–399308 336 364 392

Julian Calendar

Like all leap year types, the one starting with 1 January on a Wednesday 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).

Decade! 1st !! 2nd !! 3rd !! 4th !! 5th !! 6th !! 7th !! 8th !! 9th !! 10th
15th century1500
16th century
17th century1696
18th century172417521780
19th century1808183618641892
20th century192019481976
21st century2004203220602088
22nd century2116214421722200

Holidays

International

Roman Catholic Solemnities

Australia and New Zealand

British Isles

Canada

United States

Notes and References

  1. Web site: The Mathematics of the ISO 8601 Calendar . Robert van Gent . Utrecht University, Department of Mathematics . 2017 . 20 July 2017.