Leap year starting on Wednesday

A leap year starting on Wednesday is any year with 366 days (i.e. it includes 29 February) that begins on Wednesday 1 January and ends on Thursday 31 December. Its dominical letters hence are ED, such as the years 1908, 1936, 1964, 1992, 2020 (the current year), 2048, 2076, and 2116 in the Gregorian calendar[1] or, likewise, 2004 and 2032 in the obsolete Julian calendar. Any leap year that starts on a Monday, on a Wednesday or on a Thursday has two Friday the 13ths. This leap year contains two Friday the 13ths in March and November. Common years starting on Thursday share this characteristic, but also have another in February. This leap year also has the shortest gap between Leap Day (February 29) and Daylight Saving Time in the US (March 8), only by 8 days.

Calendars

Calendar for any leap year starting on Wednesday,
presented as common in many English-speaking areas

01020304
05060708091011
12131415161718
19202122232425
262728293031  
 
01
02030405060708
09101112131415
16171819202122
23242526272829
 
01020304050607
08091011121314
15161718192021
22232425262728
293031  
 
01020304
05060708091011
12131415161718
19202122232425
2627282930  
 
0102
03040506070809
10111213141516
17181920212223
24252627282930
31  
010203040506
07080910111213
14151617181920
21222324252627
282930  
 
01020304
05060708091011
12131415161718
19202122232425
262728293031  
 
01
02030405060708
09101112131415
16171819202122
23242526272829
3031  
0102030405
06070809101112
13141516171819
20212223242526
27282930  
 
010203
04050607080910
11121314151617
18192021222324
25262728293031
 
01020304050607
08091011121314
15161718192021
22232425262728
2930  
 
0102030405
06070809101112
13141516171819
20212223242526
2728293031  
 

ISO 8601-conformant calendar with week numbers for
any leap year starting on Wednesday (dominical letter ED)

0102030405
06070809101112
13141516171819
20212223242526
2728293031  
 
0102
03040506070809
10111213141516
17181920212223
242526272829
 
01
02030405060708
09101112131415
16171819202122
23242526272829
3031  
0102030405
06070809101112
13141516171819
20212223242526
27282930  
 
010203
04050607080910
11121314151617
18192021222324
25262728293031
 
01020304050607
08091011121314
15161718192021
22232425262728
2930  
 
0102030405
06070809101112
13141516171819
20212223242526
2728293031  
 
0102
03040506070809
10111213141516
17181920212223
24252627282930
31  
010203040506
07080910111213
14151617181920
21222324252627
282930  
 
01020304
05060708091011
12131415161718
19202122232425
262728293031  
 
01
02030405060708
09101112131415
16171819202122
23242526272829
30  
010203040506
07080910111213
14151617181920
21222324252627
28293031  
 

Applicable years

Gregorian Calendar

Leap years that begin on Wednesday, like those that start on Tuesday, 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. Their overall occurrence is thus 3.5% (14 out of 400).

For this kind of year, the corresponding ISO year has 53 weeks, and the ISO week 10 (which begins March 2) 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.

Gregorian leap years starting on Wednesday[1]
Decade 1st2nd3rd4th5th6th7th8th9th10th
17th century 162016481676
18th century 171617441772
19th century 1812184018681896
20th century 1908193619641992
21st century 202020482076
22nd century 211621442172
23rd century 2212224022682296
24th century 2308233623642392
25th century 242024482476
26th century 251625442572

Julian Calendar

Like all leap year types, the one starting with 1 January on a Wednesday 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 Wednesday
Decade 1st2nd3rd4th5th6th7th8th9th10th
15th century 1416144414721500
16th century 152815561584
17th century 1612164016681696
18th century 172417521780
19th century 1808183618641892
20th century 192019481976
21st century 2004203220602088
22nd century 2116214421722200
gollark: Again, you can have mine if you run out of time.
gollark: That doesn't scale linearly with mass number, BEE.
gollark: It isn't known to be denser than tungsten.
gollark: No? That would be stupid.
gollark: Alternatively, GTech™ stabilized black holes™.

References

  1. Robert van Gent (2017). "The Mathematics of the ISO 8601 Calendar". Utrecht University, Department of Mathematics. Retrieved 20 July 2017.
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