Leap year starting on Tuesday

Encyclopedia

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 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 Friday the 13th in this leap year occurs in June. Common years starting on Wednesday share this characteristic. In this leap year, the leap day and U.S. Independence Day are on a Friday, Memorial Day is on May 26, Labor Day is on its earliest possible date, September 1, and Halloween are on a Friday, Thanksgiving is on November 27, and Christmas is on a Thursday.

Calendars

Calendar for any leap year starting on Tuesday,
presented as common in many English-speaking areas
January
Su Mo Tu We Th Fr Sa
1 2 3 4 5
6 7 8 9 10 11 12
13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28 29 30 31
February
Su Mo Tu We Th Fr Sa
1 2
3 4 5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22 23
24 25 26 27 28 29
March
Su Mo Tu We Th Fr Sa
1
2 3 4 5 6 7 8
9 10 11 12 13 14 15
16 17 18 19 20 21 22
23 24 25 26 27 28 29
30 31
April
Su Mo Tu We Th Fr Sa
1 2 3 4 5
6 7 8 9 10 11 12
13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28 29 30
May
Su Mo Tu We Th Fr Sa
1 2 3
4 5 6 7 8 9 10
11 12 13 14 15 16 17
18 19 20 21 22 23 24
25 26 27 28 29 30 31
June
Su Mo Tu We Th Fr Sa
1 2 3 4 5 6 7
8 9 10 11 12 13 14
15 16 17 18 19 20 21
22 23 24 25 26 27 28
29 30
July
Su Mo Tu We Th Fr Sa
1 2 3 4 5
6 7 8 9 10 11 12
13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28 29 30 31
August
Su Mo Tu We Th Fr Sa
1 2
3 4 5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22 23
24 25 26 27 28 29 30
31
September
Su Mo Tu We Th Fr Sa
1 2 3 4 5 6
7 8 9 10 11 12 13
14 15 16 17 18 19 20
21 22 23 24 25 26 27
28 29 30
October
Su Mo Tu We Th Fr Sa
1 2 3 4
5 6 7 8 9 10 11
12 13 14 15 16 17 18
19 20 21 22 23 24 25
26 27 28 29 30 31
November
Su Mo Tu We Th Fr Sa
1
2 3 4 5 6 7 8
9 10 11 12 13 14 15
16 17 18 19 20 21 22
23 24 25 26 27 28 29
30
December
Su Mo Tu We Th Fr Sa
1 2 3 4 5 6
7 8 9 10 11 12 13
14 15 16 17 18 19 20
21 22 23 24 25 26 27
28 29 30 31
ISO 8601-conformant calendar with week numbers for
any leap year starting on Tuesday (dominical letter FE)
January
Wk Mo Tu We Th Fr Sa Su
01 01 02 03 04 05 06
02 07 08 09 10 11 12 13
03 14 15 16 17 18 19 20
04 21 22 23 24 25 26 27
05 28 29 30 31
February
Wk Mo Tu We Th Fr Sa Su
05 01 02 03
06 04 05 06 07 08 09 10
07 11 12 13 14 15 16 17
08 18 19 20 21 22 23 24
09 25 26 27 28 29
March
Wk Mo Tu We Th Fr Sa Su
09 01 02
10 03 04 05 06 07 08 09
11 10 11 12 13 14 15 16
12 17 18 19 20 21 22 23
13 24 25 26 27 28 29 30
14 31
April
Wk Mo Tu We Th Fr Sa Su
14 01 02 03 04 05 06
15 07 08 09 10 11 12 13
16 14 15 16 17 18 19 20
17 21 22 23 24 25 26 27
18 28 29 30
May
Wk Mo Tu We Th Fr Sa Su
18 01 02 03 04
19 05 06 07 08 09 10 11
20 12 13 14 15 16 17 18
21 19 20 21 22 23 24 25
22 26 27 28 29 30 31
June
Wk Mo Tu We Th Fr Sa Su
22 01
23 02 03 04 05 06 07 08
24 09 10 11 12 13 14 15
25 16 17 18 19 20 21 22
26 23 24 25 26 27 28 29
27 30
July
Wk Mo Tu We Th Fr Sa Su
27 01 02 03 04 05 06
28 07 08 09 10 11 12 13
29 14 15 16 17 18 19 20
30 21 22 23 24 25 26 27
31 28 29 30 31
August
Wk Mo Tu We Th Fr Sa Su
31 01 02 03
32 04 05 06 07 08 09 10
33 11 12 13 14 15 16 17
34 18 19 20 21 22 23 24
35 25 26 27 28 29 30 31
September
Wk Mo Tu We Th Fr Sa Su
36 01 02 03 04 05 06 07
37 08 09 10 11 12 13 14
38 15 16 17 18 19 20 21
39 22 23 24 25 26 27 28
40 29 30
October
Wk Mo Tu We Th Fr Sa Su
40 01 02 03 04 05
41 06 07 08 09 10 11 12
42 13 14 15 16 17 18 19
43 20 21 22 23 24 25 26
44 27 28 29 30 31
November
Wk Mo Tu We Th Fr Sa Su
44 01 02
45 03 04 05 06 07 08 09
46 10 11 12 13 14 15 16
47 17 18 19 20 21 22 23
48 24 25 26 27 28 29 30
December
Wk Mo Tu We Th Fr Sa Su
49 01 02 03 04 05 06 07
50 08 09 10 11 12 13 14
51 15 16 17 18 19 20 21
52 22 23 24 25 26 27 28
01 29 30 31

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% (14 out of 400).

Gregorian leap years starting on Tuesday
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
17th century 1608 1636 1664 1692
18th century 1704 1732 1760 1788
19th century 1828 1856 1884
20th century 1924 1952 1980
21st century 2008 2036 2064 2092
22nd century 2104 2132 2160 2188
Gregorian year types per leap cycle by Dominical letter (DL) and Doomsday (DD)
Year starts Common years Leap years
1 Jan Count Ratio 31 Dec DL DD Count Ratio 31 Dec DL DD Count Ratio
Sun 58 14.50 % Sun A Tue 43 10.75 % Mon AG Wed 15 3.75 %
Sat 56 14.00 % Sat B Mon 43 10.75 % Sun BA Tue 13 3.25 %
Fri 58 14.50 % Fri C Sun 43 10.75 % Sat CB Mon 15 3.75 %
Thu 57 14.25 % Thu D Sat 44 11.00 % Fri DC Sun 13 3.25 %
Wed 57 14.25 % Wed E Fri 43 10.75 % Thu ED Sat 14 3.50 %
Tue 58 14.50 % Tue F Thu 44 11.00 % Wed FE Fri 14 3.50 %
Mon 56 14.00 % Mon G Wed 43 10.75 % Tue GF Thu 13 3.25 %
∑ 400 100.0 % 303 75.75 % 97 24.25 %

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 ((year + 8) mod 28) + 1).

Julian leap years starting on Tuesday
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
14th century 1320 1348 1376
15th century 1404 1432 1460 1488
16th century 1516 1544 1572 1600
17th century 1628 1656 1684
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