Leap year starting on Monday explained

A leap year starting on Monday is any year with 366 days (i.e. it includes 29 February) that begins on Monday, 1 January, and ends on Tuesday, 31 December. Its dominical letters hence are GF. The current year, 2024, is a leap year starting on Monday in the Gregorian calendar. The last such year was 1996 and the next such year will be 2052 in the Gregorian calendar[1] or, likewise, 2008 and 2036 in the obsolete Julian calendar.

Any leap year that starts on Monday, Wednesday or Thursday has two Friday the 13ths: those two in this leap year occur in September and December. Common years starting on Tuesday share this characteristic.

Additionally, this type of year has three months (January, April, and July) beginning exactly on the first day of the week, in areas which Monday is considered the first day of the week, Common years starting on Friday share this characteristic on the months of February, March, and November.

Applicable years

Gregorian Calendar

Leap years that begin on Monday, along with those starting on Saturday and Thursday, occur least frequently: 13 out of 97 (≈ 13.402%) total leap years in a 400-year cycle of the Gregorian calendar. Their overall occurrence is thus 3.25% (13 out of 400).

Decade! 1st !! 2nd !! 3rd !! 4th !! 5th !! 6th !! 7th !! 8th !! 9th !! 10th
16th centuryprior to first adoption (proleptic)1596
17th century162416521680
18th century
19th century
20th century1996
21st century
22nd century
23rd century
24th century2396
25th century
26th century2520 2548 2576
27th century2616 2644 2672
400-year cycle
0–9924 52 80
100–199120 148 176
200–299216 244 272
300–399312 340 368 396

Julian Calendar

Like all leap year types, the one starting with 1 January on a Monday 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
14th century1392
15th century
16th century
17th century1700
18th century
19th century1896
20th century1924 1952 1980
21st century2008 2036 2064 2092
22nd century2120 2148 2176

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.