A leap year starting on Tuesday is any year with 366 days (i.e. it includes 29 February) that begins on Tuesday, 1 January, and ends on Wednesday, 31 December. Its dominical letters hence are FE. The most recent year of such kind was 2008 and the next one will be 2036 in the Gregorian calendar[1] or, likewise 2020 and 2048 in the obsolete Julian calendar.
Any leap year that starts on Tuesday, Friday or Saturday has only one Friday the 13th; the only one in this leap year occurs in June.
Any leap year that starts on Tuesday has only one Tuesday the 13th: the only one in this leap year occurs in May.
Any leap year that starts on Tuesday has only one Friday the 17th: the only one in this leap year occurs in October.
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 Friday the 17th.
Leap years that begin on Tuesday, along with those starting on Wednesday, 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).
| 17th century | 1692 | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 18th century | |||||||||||
| 19th century | |||||||||||
| 20th century | |||||||||||
| 21st century | 2092 | ||||||||||
| 22nd century | |||||||||||
| 23rd century | |||||||||||
| 24th century | |||||||||||
| 25th century | 2492 | ||||||||||
| 26th century | 2504 | 2532 | 2560 | 2588 |
| 0–99 | 8 | 36 | 64 | 92 | |
|---|---|---|---|---|---|
| 100–199 | 104 | 132 | 160 | 188 | |
| 200–299 | 228 | 256 | 284 | ||
| 300–399 | 324 | 352 | 380 |
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 ((year + 8) mod 28) + 1).
| 14th century | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 15th century | |||||||||||
| 16th century | 1600 | ||||||||||
| 17th century | |||||||||||
| 18th century | 1712 | 1740 | 1768 | 1796 | |||||||
| 19th century | 1824 | 1852 | 1880 | ||||||||
| 20th century | 1908 | 1936 | 1964 | 1992 | |||||||
| 21st century | 2020 | 2048 | 2076 | ||||||||
| 22nd century | 2104 | 2132 | 2160 | 2188 |