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 or, likewise, 2010 and 2021 in the obsolete Julian calendar, see below for more. This is the only common year with three occurrences of Friday the 13th; specifically, the months of February, March, and November. Leap years starting on Sunday share this characteristic and with the exception of skipped leap years, leap year beginning on a Sunday fall exactly three years either side of two consecutive common years starting on Thursday - for example 2012 between 2009 and 2015.
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. In 2015, for example, February 13th, March 13th and November 13th, all fell on a Friday, so there were 3 Friday the 13ths in 2015, February, March and November. In this common year, February is rectangular, U.S. Independence Day and Halloween are on a Saturday, Thanksgiving is on November 26, and Christmas is on a Friday.
Calendar for any common year starting on Thursday,
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 does only span across century years divisible by 400, e.g. 1600, 2000, and 2400.
|16th century||prior to first adoption (proleptic)||1587||1598|
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.
|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||3.75 %|
|Sat||56||14.00 %||Sat||B||Mon||43||10.75 %||Sun||BA||Tue||13||3.25 %|
|Fri||58||14.50 %||Fri||C||Sun||43||10.75 %||Sat||CB||Mon||15||3.75 %|
|Thu||57||14.25 %||Thu||D||Sat||44||11.00 %||Fri||DC||Sun||13||3.25 %|
|Wed||57||14.25 %||Wed||E||Fri||43||10.75 %||Thu||ED||Sat||14||3.50 %|
|Tue||58||14.50 %||Tue||F||Thu||44||11.00 %||Wed||FE||Fri||14||3.50 %|
|Mon||56||14.00 %||Mon||G||Wed||43||10.75 %||Tue||GF||Thu||13||3.25 %|
|?||400||100.0 %||303||75.75 %||97||24.25 %|