Leap year starting on Thursday
A leap year starting on Thursday is any year with 366 days (i.e. it includes 29 February) that begins on Thursday 1 January, and ends on Friday 31 December. Its dominical letters hence are DC, such as the years 1880, 1920, 1948, 1976, 2004, 2032, 2060, and 2088, in the Gregorian calendar[1] or, likewise, 1988, 2016, and 2044 in the obsolete Julian calendar. Any leap year that starts on Monday, Wednesday or Thursday has two Friday the 13ths. This leap year contains two Friday the 13ths in February and August. This leap year is also the longest gap between leap day (February 29) and daylight saving time begins in US (March 14) by 14 days or 2 weeks.
Calendars
Calendar for any leap year starting on Thursday, | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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ISO 8601-conformant calendar with week numbers for | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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Applicable years
Gregorian Calendar
Leap years that begin on Thursday, along with those that start on Monday or Saturday, 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 3.25% (13 out of 400).
For this kind of year, the corresponding ISO year has 53 weeks, and the ISO week 10 (which begins March 1) and all subsequent ISO weeks occur earlier than in all other years. That means, moveable holidays may occur one calendar week later than otherwise possible, e.g. Gregorian Easter Sunday in week 17.
Decade | 1st | 2nd | 3rd | 4th | 5th | 6th | 7th | 8th | 9th | 10th |
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17th century | 1604 | 1632 | 1660 | 1688 | ||||||
18th century | 1728 | 1756 | 1784 | |||||||
19th century | 1824 | 1852 | 1880 | |||||||
20th century | 1920 | 1948 | 1976 | |||||||
21st century | 2004 | 2032 | 2060 | 2088 | ||||||
22nd century | 2128 | 2156 | 2184 | |||||||
23rd century | 2224 | 2252 | 2280 | |||||||
24th century | 2320 | 2348 | 2376 | |||||||
25th century | 2404 | 2432 | 2460 | 2488 | ||||||
26th century | 2528 | 2556 | 2584 |
Julian Calendar
Like all leap year types, the one starting with 1 January on a Thursday 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 |
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15th century | 1428 | 1456 | 1484 | |||||||
16th century | 1512 | 1540 | 1568 | 1596 | ||||||
17th century | 1624 | 1652 | 1680 | |||||||
18th century | 1708 | 1736 | 1764 | 1792 | ||||||
19th century | 1820 | 1848 | 1876 | |||||||
20th century | 1904 | 1932 | 1960 | 1988 | ||||||
21st century | 2016 | 2044 | 2072 | 2100 | ||||||
22nd century | 2128 | 2156 | 2184 |
References
Wikimedia Commons has media related to Leap years starting on Thursday and ending on Friday. |
- Robert van Gent (2017). "The Mathematics of the ISO 8601 Calendar". Utrecht University, Department of Mathematics. Retrieved 20 July 2017.