Leap year starting on Tuesday


A leap year starting on Tuesday is any year with 366 days that begins on Tuesday, 1 January, and ends on Wednesday, 31 December. Its dominical letters hence are FE, such as the years 1828, 1856, 1884, 1924, 1952, 1980, 2008, 2036, 2064, 2092, 2104, 2132, 2160, 2188 and 2228 in the Gregorian calendar or, likewise, 1964, 1992, and 2020 in the obsolete Julian calendar. Any leap year that starts on Tuesday, Friday or Saturday has only one Friday the 13th; the only Friday the 13th in this leap year occurs in June. Common years starting on Wednesday share this characteristic.

Calendars

Applicable years

Gregorian Calendar

Leap years that begin on Tuesday, like those that start on Wednesday, occur at a rate of approximately 14.43% of all total leap years in a 400-year cycle of the Gregorian calendar. Their overall occurrence is 3.5%.

Julian Calendar

Like all leap year types, the one starting with 1 January on a Tuesday 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 + 1).
Decade1st2nd3rd4th5th6th7th8th9th10th
14th century132013481376
15th century1404143214601488
16th century1516154415721600
17th century162816561684
18th century1712174017681796
19th century182418521880
20th century1908193619641992
21st century202020482076
22nd century2104213221602188