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Common year starting on Thursday

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Template:Short description A common year starting on Thursday is any non-leap year (i.e. a year with 365 days) that begins on Thursday, 1 January, and ends on Thursday, 31 December. Its dominical letter hence is D. The most recent year of such kind was 2015, and the next one will be 2026 in the Gregorian calendar<ref name="math">{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> or, likewise, 2021 and 2027 in the obsolete Julian calendar, see below for more.

This is the only common year with three occurrences of Friday the 13th: those three in this common year occur in February, March, and November. Leap years starting on Sunday share this characteristic, for the months January, April and July. From February until March in this type of year is also the shortest period (one month) that runs between two instances of Friday the 13th. Additionally, this is the one of only two types of years overall where a rectangular February is possible, in places where Sunday is considered to be the first day of the week. Common years starting on Friday share this characteristic, when Monday is considered to be the first day of the week.

This year has four months (February, March, August and November) which begin on a weekend-day.

CalendarsEdit

{{#if: 

 |{{calendar/{{{1}}}
    |year=2015
    |base={{#titleparts:Template:Title without disambig|2}}
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  }}
 |{{#ifeq:|Portal
    |Template:Calendar/portal
    |{{#iferror:{{#time:|Template:Title without disambig}}
       |{{#if:
          |{{calendar/month/link {{#if:
                |{{#if:
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                   |m
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             |tm=
             |mt=
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          |Template:Calendar/table
        }}
       |{{calendar/{{#ifeq:Template:Title without disambig|{{#time:Y|Template:Title without disambig}}
             |table
             |month/link on
           }}
          |row=|col=4
          |title=Calendar for any common year starting on Thursday,
presented as common in many English-speaking areas
          |year=2015
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          |F={{#ifeq:Template:Title without disambig|{{#time:F Y|Template:Title without disambig}}|F Y|F}}
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}}

{{#if: 

 |{{calendar/{{{1}}}
    |year=2015
    |base={{#titleparts:Template:Title without disambig|2}}
    |sub={{#titleparts:Template:Title without disambig/XXX|1|3}}
    |zero=0
    |titlestyle={{#if:
       |background-color:{{{colour}}}; {{#if:|color:{{{fc}}}}}
     }}
    |weekstyle={{#if:
       |background-color:{{{colour}}}; {{#if:|color:{{{fc}}}}}
     }}
  }}
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             |dl=
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                |next={{#time:F|next month}}
                |last={{#time:F|last month}}
                |{{{month}}}
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             |year=2015
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             |F={{#ifeq:off|with month|F Y|F}}
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           }}
          |Template:Calendar/table
        }}
       |{{calendar/{{#ifeq:Template:Title without disambig|{{#time:Y|Template:Title without disambig}}
             |table
             |month/link on
           }}
          |row=3|col=4
          |title=ISO 8601-conformant calendar with week numbers for
any common year starting on Thursday (dominical letter D)
          |year=2015
          |show_year={{#ifeq:Template:Title without disambig|{{#time:F Y|Template:Title without disambig}}|off|on}}
          |F={{#ifeq:Template:Title without disambig|{{#time:F Y|Template:Title without disambig}}|F Y|F}}
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     }}
  }}

}}

Applicable yearsEdit

Gregorian CalendarEdit

In the (currently used) Gregorian calendar, alongside Tuesday, 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 only spans across century years divisible by 400, e.g. 1600, 2000, and 2400.

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 common years.

Gregorian common years starting on Thursday<ref name="math"/>
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
16th century prior to first adoption (proleptic) 1587 1598
17th century 1609 1615 1626 1637 1643 1654 1665 1671 1682 1693 1699
18th century 1705 1711 1722 1733 1739 1750 — 1761 1767 1778 1789 1795
19th century 1801 1807 1818 1829 1835 1846 1857 1863 1874 1885 1891
20th century 1903 1914 1925 1931 1942 1953 1959 — 1970 1981 1987 1998
21st century 2009 2015 2026 2037 2043 2054 2065 2071 2082 2093 2099
22nd century 2105 2111 2122 2133 2139 2150 — 2161 2167 2178 2189 2195
23rd century 2201 2207 2218 2229 2235 2246 2257 2263 2274 2285 2291
24th century 2303 2314 2325 2331 2342 2353 2359 — 2370 2381 2387 2398
25th century 2409 2415 2426 2437 2443 2454 2465 2471 2482 2493 2499
400-year cycle
0–99 9 15 26 37 43 54 65 71 82 93 99
100–199 105 111 122 133 139 150 161 167 178 189 195
200–299 201 207 218 229 235 246 257 263 274 285 291
300–399 303 314 325 331 342 353 359 370 381 387 398

Julian CalendarEdit

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

HolidaysEdit

InternationalEdit

Roman Catholic SolemnitiesEdit

Australia and New ZealandEdit

British IslesEdit

CanadaEdit

United StatesEdit

ReferencesEdit

Template:Reflist Template:Navbox top

Year starts Common years 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 Template:03.75 %
Mon 56 14.00 % Mon G Wed 43 10.75 % Tue GF Thu 13 Template:03.25 %
Tue 58 14.50 % Tue F Thu 44 11.00 % Wed FE Fri 14 Template:03.50 %
Wed 57 14.25 % Wed E Fri 43 10.75 % Thu ED Sat 14 Template:03.50 %
Thu 57 14.25 % Thu D Sat 44 11.00 % Fri DC Sun 13 Template:03.25 %
Fri 58 14.50 % Fri C Sun 43 10.75 % Sat CB Mon 15 Template:03.75 %
Sat 56 14.00 % Sat B Mon 43 10.75 % Sun BA Tue 13 Template:03.25 %
∑ 400 100.0 % 303 75.75 % 97 24.25 %

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