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Calendar for any leap year starting on Tuesday
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.
Calendar for any leap year starting on Tuesday, presented as common in many English-speaking areas
January
Su
Mo
Tu
We
Th
Fr
Sa
01
02
03
04
05
06
07
08
09
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
01
02
03
04
05
06
07
08
09
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
01
02
03
04
05
06
07
08
09
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
01
02
03
04
05
06
07
08
09
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
01
02
03
04
05
06
07
08
09
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
01
02
03
04
05
06
07
08
09
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
01
02
03
04
05
06
07
08
09
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
01
02
03
04
05
06
07
08
09
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
01
02
03
04
05
06
07
08
09
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
01
02
03
04
05
06
07
08
09
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
01
02
03
04
05
06
07
08
09
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
01
02
03
04
05
06
07
08
09
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, 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).
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).
Martin Luther King Jr. Day falls on its latest possible date, January 21. This is the only type of leap year where Columbus Day that precedes this type of year to Martin Luther King Jr. Day in this type of year are 15 weeks apart. They are 14 weeks apart in all other leap years. This is also the only type of leap year where Thanksgiving that precedes this type of year to Martin Luther King Jr. Day in this type of year are 60 days apart. They are 53 days apart in all other leap years
Father's Day falls on its earliest possible date, June 15. This is the only type of leap year where Martin Luther King Jr. Day and Father’s Day are 146 days apart. They are 153 days apart in all other leap years
Labor Day falls on its earliest possible date, September 1. This is the only type of leap year where Martin Luther King Jr. Day and Labor Day are 32 weeks apart. They are 33 weeks apart in all other leap years
Grandparents' Day falls on its earliest possible date, September 7. This is the only type of leap year where Martin Luther King Jr. Day and Grandparent’s Day are 230 days apart. They are 237 days apart in all other leap years.