Calendars
Calendar for any common year starting on Thursday, presented as common in many English-speaking areas |
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January |
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| | | | 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 |
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February |
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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 |
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March |
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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 |
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April |
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| | | 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 | |
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May |
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| | | | | 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 |
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June |
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| 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 | |
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July |
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| | | 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 |
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August |
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| | | | | | 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 |
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September |
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| | 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 | |
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October |
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| | | | 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 |
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November |
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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 | |
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December |
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| | 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 |
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ISO 8601-conformant calendar with week numbers for any common year starting on Thursday (dominical letter D) |
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January |
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01 |
| | | 01 | 02 | 03 | 04 |
02 |
05 | 06 | 07 | 08 | 09 | 10 | 11 |
03 |
12 | 13 | 14 | 15 | 16 | 17 | 18 |
04 |
19 | 20 | 21 | 22 | 23 | 24 | 25 |
05 |
26 | 27 | 28 | 29 | 30 | 31 |
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April |
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14 |
| | 01 | 02 | 03 | 04 | 05 |
15 |
06 | 07 | 08 | 09 | 10 | 11 | 12 |
16 |
13 | 14 | 15 | 16 | 17 | 18 | 19 |
17 |
20 | 21 | 22 | 23 | 24 | 25 | 26 |
18 |
27 | 28 | 29 | 30 | |
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July |
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27 |
| | 01 | 02 | 03 | 04 | 05 |
28 |
06 | 07 | 08 | 09 | 10 | 11 | 12 |
29 |
13 | 14 | 15 | 16 | 17 | 18 | 19 |
30 |
20 | 21 | 22 | 23 | 24 | 25 | 26 |
31 |
27 | 28 | 29 | 30 | 31 |
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October |
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40 |
| | | 01 | 02 | 03 | 04 |
41 |
05 | 06 | 07 | 08 | 09 | 10 | 11 |
42 |
12 | 13 | 14 | 15 | 16 | 17 | 18 |
43 |
19 | 20 | 21 | 22 | 23 | 24 | 25 |
44 |
26 | 27 | 28 | 29 | 30 | 31 |
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February |
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05 |
| | | | | | 01 |
06 |
02 | 03 | 04 | 05 | 06 | 07 | 08 |
07 |
09 | 10 | 11 | 12 | 13 | 14 | 15 |
08 |
16 | 17 | 18 | 19 | 20 | 21 | 22 |
09 |
23 | 24 | 25 | 26 | 27 | 28 | |
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May |
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18 |
| | | | 01 | 02 | 03 |
19 |
04 | 05 | 06 | 07 | 08 | 09 | 10 |
20 |
11 | 12 | 13 | 14 | 15 | 16 | 17 |
21 |
18 | 19 | 20 | 21 | 22 | 23 | 24 |
22 |
25 | 26 | 27 | 28 | 29 | 30 | 31 |
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August |
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31 |
| | | | | 01 | 02 |
32 |
03 | 04 | 05 | 06 | 07 | 08 | 09 |
33 |
10 | 11 | 12 | 13 | 14 | 15 | 16 |
34 |
17 | 18 | 19 | 20 | 21 | 22 | 23 |
35 |
24 | 25 | 26 | 27 | 28 | 29 | 30 |
36 |
31 |
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November |
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44 |
| | | | | | 01 |
45 |
02 | 03 | 04 | 05 | 06 | 07 | 08 |
46 |
09 | 10 | 11 | 12 | 13 | 14 | 15 |
47 |
16 | 17 | 18 | 19 | 20 | 21 | 22 |
48 |
23 | 24 | 25 | 26 | 27 | 28 | 29 |
49 |
30 | |
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March |
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09 |
| | | | | | 01 |
10 |
02 | 03 | 04 | 05 | 06 | 07 | 08 |
11 |
09 | 10 | 11 | 12 | 13 | 14 | 15 |
12 |
16 | 17 | 18 | 19 | 20 | 21 | 22 |
13 |
23 | 24 | 25 | 26 | 27 | 28 | 29 |
14 |
30 | 31 |
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June |
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23 |
01 | 02 | 03 | 04 | 05 | 06 | 07 |
24 |
08 | 09 | 10 | 11 | 12 | 13 | 14 |
25 |
15 | 16 | 17 | 18 | 19 | 20 | 21 |
26 |
22 | 23 | 24 | 25 | 26 | 27 | 28 |
27 |
29 | 30 | |
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September |
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36 |
| 01 | 02 | 03 | 04 | 05 | 06 |
37 |
07 | 08 | 09 | 10 | 11 | 12 | 13 |
38 |
14 | 15 | 16 | 17 | 18 | 19 | 20 |
39 |
21 | 22 | 23 | 24 | 25 | 26 | 27 |
40 |
28 | 29 | 30 | |
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December |
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49 |
| 01 | 02 | 03 | 04 | 05 | 06 |
50 |
07 | 08 | 09 | 10 | 11 | 12 | 13 |
51 |
14 | 15 | 16 | 17 | 18 | 19 | 20 |
52 |
21 | 22 | 23 | 24 | 25 | 26 | 27 |
53 |
28 | 29 | 30 | 31 |
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Applicable years
Gregorian Calendar
In the (currently used) Gregorian calendar, the fourteen types of year (seven common, seven leap) repeat in a 400-year cycle (20871 weeks). Forty-four common years per cycle or exactly 11% start on a Thursday. The 28-year sub-cycle does only span across century years divisible by 400, e.g. 1600, 2000, and 2400.
Julian Calendar
In the now-obsolete Julian calendar, the fourteen types of year (seven common, seven leap) repeat in a 28-year cycle (1461 weeks). A leap year has two adjoining dominical letters (one for January and February and the other for March to December, as 29 February has no letter). This sequence occurs exactly once within a cycle, and every common letter thrice.
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). Years 3, 14 and 20 of the cycle are common years beginning on Thursday. 2017 is year 10 of the cycle. Approximately 10.71% of all years are common years beginning on Thursday.
Julian common years starting on Thursday
Decade |
1st | 2nd | 3rd | 4th | 5th | 6th | 7th | 8th | 9th | 10th |
15th century |
1405 | 1411 | 1422 | 1433 | 1439 | 1450 | — | 1461 | 1467 | 1478 | 1489 | 1495 |
16th century |
1506 | 1517 | 1523 | 1534 | 1545 | 1551 | 1562 | 1573 | 1579 | 1590 | — |
17th century |
1601 | 1607 | 1618 | 1629 | 1635 | 1646 | 1657 | 1663 | 1674 | 1685 | 1691 |
18th century |
1702 | 1713 | 1719 | 1730 | — | 1741 | 1747 | 1758 | 1769 | 1775 | 1786 | 1797 |
19th century |
1803 | 1814 | 1825 | 1831 | 1842 | 1853 | 1859 | 1870 | — | 1881 | 1887 | 1898 |
20th century |
1909 | 1915 | 1926 | 1937 | 1943 | 1954 | 1965 | 1971 | 1982 | 1993 | 1999 |
21st century |
2010 | — | 2021 | 2027 | 2038 | 2049 | 2055 | 2066 | 2077 | 2083 | 2094 |
References
Gregorian year types per leap cycle by Dominical letter (DL)[1] and Doomsday (DD)
Year starts |
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Common years |
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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 | 03.75 % |
Sat |
56 | 14.00 % |
Sat | B | Mon | 43 | 10.75 % |
Sun | BA | Tue | 13 | 03.25 % |
Fri |
58 | 14.50 % |
Fri | C | Sun | 43 | 10.75 % |
Sat | CB | Mon | 15 | 03.75 % |
Thu |
57 | 14.25 % |
Thu | D | Sat | 44 | 11.00 % |
Fri | DC | Sun | 13 | 03.25 % |
Wed |
57 | 14.25 % |
Wed | E | Fri | 43 | 10.75 % |
Thu | ED | Sat | 14 | 03.50 % |
Tue |
58 | 14.50 % |
Tue | F | Thu | 44 | 11.00 % |
Wed | FE | Fri | 14 | 03.50 % |
Mon |
56 | 14.00 % |
Mon | G | Wed | 43 | 10.75 % |
Tue | GF | Thu | 13 | 03.25 % |
∑ |
400 | 100.0 % |
| 303 | 75.75 % |
| 97 | 24.25 % |