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dominical letter.

January
ABCDEFG
1234567
891011121314
15161718192021
22232425262728
293031
One of the letters from A to G used to indicate the Sundays through any particular year. If the columns of a calendar are marked with A through G, and January 1 always begins in the first column, then the dominical letter marks the column in which all Sundays fall. If the year begins on a Sunday, then the dominical letter is A. If the year begins on a Saturday, then the dominical letter is B, and so on. Leap years have a double dominical letter. The first letter is for days up to leap day (February 29), and the second letter is for the remaining days. The following tool gives the dominical letter for any year after 1582.

Professor Halliday says: The dominical letter can be determined mathematically for any year after 1582 using the following equation.

Equation for dominical letter.

Where x is the year and c is the number of the century (e.g. 19 for 1985). Disregard fractions in the division, then take the remainder when dividing by 7 (the number of days in the week). The result is the number of the dominical letter, where A = 1, B = 2, etc.

Last two
digits of
year
Century
   1600
1700180019002000
2100220023002400
2500260027002800
2900300031003200
00CEGBA
01 29 57 85BDFG
02 30 58 86ACEF
03 31 59 87GBDE
04 32 60 88FEAGCBDC
05 33 61 89DFAB
06 34 62 90CEGA
07 35 63 91BDFG
08 36 64 92AGCBEDFE
09 37 65 93FACD
10 38 66 94EGBC
11 39 67 95DFAB
12 40 68 96CBEDGFAG
13 41 69 97ACEF
14 42 70 98GBDE
15 43 71 99FACD
16 44 72 EDGFBACB
17 45 73 CEGA
18 46 74 BDFG
19 47 75 ACEF
20 48 76 GFBADCED
21 49 77 EGBC
22 50 78 DFAB
23 51 79 CEGA
24 52 80 BADCFEGF
25 53 81 GBDE
26 54 82 FACD
27 55 83 EGBC
28 56 84 DCFEAGBA
To lookup the dominical letter for any year using the table, find the column for the century and the row for the last two digits of the year. Find the cell where the row and column intersect, and that is the dominical letter. For example, find the dominical letter for 2004 in the row for 2000 and the column for 04. Because 2004 is a leap year, it has a double dominical letter (DC). In January and February, all Sundays fall in column D of the calendar (January 4 is a Sunday). After that, all Sundays fall in column C.

Holiday information does sometimes become outdated. If you find any errors, please send us corrections.

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