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Common year starting on Friday

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Acommon year starting on Fridayis any non-leap year(i.e. a year with 365 days) that begins onFriday,1 January, and ends on Friday, 31 December. Itsdominical letterhence isC.The most recent year of such kind was2021and the next one will be2027in theGregorian calendar,[1]or, likewise,2022and2033in the obsoleteJulian calendar,seebelow for more.This common year is one of the three possible common years in which a century year can begin on, and occurs in century years thatyield a remainder of 100 when divided by 400.The most recent such year was1700and the next one will be2100.

Any common year thatstarts on Wednesday,FridayorSaturdayhas only oneFriday the 13th:the only one in this common yearoccurs in August.Leap years starting on Thursdayshare this characteristic, but also have another onein February.

FromJulyof the year that precedes this type of year untilSeptemberin this type of year is the longest period (14 months) that occurs without aFriday the 17th.Leap years starting on Tuesdayshare this characteristic, fromAugustof thecommon year that precedes ittoOctoberin that type of year, (e.g. 2007-08 and 2035-36). This type of year also has the longest period (also 14 months) without aTuesday the 13th,from July of this year until September of the next common year (that being onSaturday), unless the next year is a leap year (which is also aSaturday), then the period is reduced to only 11 months (e.g. 1999-2000 and 2027-28).

Common years starting on Tuesdayalso share this characteristic, from August from that year until October of the leap year that succeeds the common year (Leap years starting on Wednesdayin this case).

This is the one of two types of years overall where arectangular Februaryis possible, in places where Monday is considered to be the first day of the week.Common years starting on Thursdayshare this characteristic, but only in places where Sunday is considered to be the first day of the week.

Additionally, this type of year has three months (February, March and November) beginning exactly on the first day of the week, in areas which Monday is considered the first day of the week.Leap years starting on Mondayshare this characteristic on the months of January, April and July.

Calendars[edit]

Calendar for anycommon yearstarting on Friday,
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
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 withweek numbersfor
any common year starting on Friday (dominical letter C)
January
Wk Mo Tu We Th Fr Sa Su
53 01 02 03
01 04 05 06 07 08 09 10
02 11 12 13 14 15 16 17
03 18 19 20 21 22 23 24
04 25 26 27 28 29 30 31
February
Wk Mo Tu We Th Fr Sa Su
05 01 02 03 04 05 06 07
06 08 09 10 11 12 13 14
07 15 16 17 18 19 20 21
08 22 23 24 25 26 27 28
March
Wk Mo Tu We Th Fr Sa Su
09 01 02 03 04 05 06 07
10 08 09 10 11 12 13 14
11 15 16 17 18 19 20 21
12 22 23 24 25 26 27 28
13 29 30 31
April
Wk Mo Tu We Th Fr Sa Su
13 01 02 03 04
14 05 06 07 08 09 10 11
15 12 13 14 15 16 17 18
16 19 20 21 22 23 24 25
17 26 27 28 29 30
May
Wk Mo Tu We Th Fr Sa Su
17 01 02
18 03 04 05 06 07 08 09
19 10 11 12 13 14 15 16
20 17 18 19 20 21 22 23
21 24 25 26 27 28 29 30
22 31
June
Wk Mo Tu We Th Fr Sa Su
22 01 02 03 04 05 06
23 07 08 09 10 11 12 13
24 14 15 16 17 18 19 20
25 21 22 23 24 25 26 27
26 28 29 30
July
Wk Mo Tu We Th Fr Sa Su
26 01 02 03 04
27 05 06 07 08 09 10 11
28 12 13 14 15 16 17 18
29 19 20 21 22 23 24 25
30 26 27 28 29 30 31
August
Wk Mo Tu We Th Fr Sa Su
30 01
31 02 03 04 05 06 07 08
32 09 10 11 12 13 14 15
33 16 17 18 19 20 21 22
34 23 24 25 26 27 28 29
35 30 31
September
Wk Mo Tu We Th Fr Sa Su
35 01 02 03 04 05
36 06 07 08 09 10 11 12
37 13 14 15 16 17 18 19
38 20 21 22 23 24 25 26
39 27 28 29 30
October
Wk Mo Tu We Th Fr Sa Su
39 01 02 03
40 04 05 06 07 08 09 10
41 11 12 13 14 15 16 17
42 18 19 20 21 22 23 24
43 25 26 27 28 29 30 31
November
Wk Mo Tu We Th Fr Sa Su
44 01 02 03 04 05 06 07
45 08 09 10 11 12 13 14
46 15 16 17 18 19 20 21
47 22 23 24 25 26 27 28
48 29 30
December
Wk Mo Tu We Th Fr Sa Su
48 01 02 03 04 05
49 06 07 08 09 10 11 12
50 13 14 15 16 17 18 19
51 20 21 22 23 24 25 26
52 27 28 29 30 31

This is the only year type where thenth "Doomsday"(this year Sunday) is not in ISO weekn;it is in ISO weekn-1.

Applicable years[edit]

Gregorian calendar[edit]

In the (currently used) Gregorian calendar, alongsideSunday,Monday,WednesdayorSaturday,the fourteen types of year (seven common, seven leap) repeat in a 400-year cycle (20871 weeks). Forty-three common years per cycle or exactly 10.75% start on a Friday. The 28-year sub-cycle only spans across century years divisible by 400, e.g. 1600, 2000, and 2400.

For this kind of year, the ISO week 10 (which begins March 8) and all subsequent ISO weeks occur later than in all other years, and exactly one week later thanLeap years starting on Thursday.Also, the ISO weeks in January and February occur later than all other common years, butleap years starting on Fridayshare this characteristic in January and February, until ISO week 8.

Gregorian common years starting on Friday[1]
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
16th century prior to first adoption (proleptic) 1582 1593 1599
17th century 1610 1621 1627 1638 1649 1655 1666 1677 1683 1694 1700
18th century 1706 1717 1723 1734 1745 1751 1762 1773 1779 1790
19th century 1802 1813 1819 1830 1841 1847 1858 1869 1875 1886 1897
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 2100
22nd century 2106 2117 2123 2134 2145 2151 2162 2173 2179 2190
23rd century 2202 2213 2219 2230 2241 2247 2258 2269 2275 2286 2297
24th century 2309 2315 2326 2337 2343 2354 2365 2371 2382 2393 2399
400-year cycle
0–99 10 21 27 38 49 55 66 77 83 94
100–199 100 106 117 123 134 145 151 162 173 179 190
200–299 202 213 219 230 241 247 258 269 275 286 297
300–399 309 315 326 337 343 354 365 371 382 393 399

Julian calendar[edit]

In the now-obsolete Julian calendar, the fourteen types of year (seven common, seven leap) repeat in a28-year cycle(1461 weeks). 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 4, 15 and 26 of the cycle are common years beginning on Friday. 2017 is year 10 of the cycle. Approximately 10.71% of all years are common years beginning on Friday.

Julian common years starting on Friday
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
15th century 1406 1417 1423 1434 1445 1451 1462 1473 1479 1490
16th century 1501 1507 1518 1529 1535 1546 1557 1563 1574 1585 1591
17th century 1602 1613 1619 1630 1641 1647 1658 1669 1675 1686 1697
18th century 1703 1714 1725 1731 1742 1753 1759 1770 1781 1787 1798
19th century 1809 1815 1826 1837 1843 1854 1865 1871 1882 1893 1899
20th century 1910 1921 1927 1938 1949 1955 1966 1977 1983 1994
21st century 2005 2011 2022 2033 2039 2050 2061 2067 2078 2089 2095

Holidays[edit]

International[edit]

Roman Catholic Solemnities[edit]

Australia and New Zealand[edit]

British Isles[edit]

Canada[edit]

United States[edit]

References[edit]

  1. ^abRobert van Gent (2017)."The Mathematics of the ISO 8601 Calendar".Utrecht University, Department of Mathematics.Retrieved20 July2017.