Common year starting on Tuesday

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A common year starting on Tuesday is any non-leap year (i.e. a year with 365 days) that begins on Tuesday, 1 January, and ends on Tuesday, 31 December. Its dominical letter hence is F. The most recent year of such kind was 2019, and the next one will be 2030, or, likewise, 2025 and 2031 in the obsolete Julian calendar, see below for more.

Any common year that starts on Tuesday has two Friday the 13ths: those two in this common year occur in September and December. Leap years starting on Monday share this characteristic. From July of the year preceding this year until September in this type of year is the longest period (14 months) that occurs without a Friday the 13th. Leap years starting on Saturday share this characteristic, from August of the common year that precedes it to October in that type of year.

This year has three months (June, September and December) which begin on a weekend-day.

Calendars

{{calendar|year=2019|show_year=off|title=Calendar for any common year starting on Tuesday,
presented as common in many English-speaking areas}}

{{calendar|year=2019|show_year=off|format=iso|row=3|zero=0|title=ISO 8601-conformant calendar with week numbers for
any common year starting on Tuesday (dominical letter F)}}

Applicable years

= Gregorian Calendar =

In the (currently used) Gregorian calendar, along with Thursday, 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 Tuesday. The 28-year sub-cycle only spans across century years divisible by 400, e.g. 1600, 2000, and 2400.

class="wikitable"

|+Gregorian common years starting on Tuesday{{cite web |url=https://webspace.science.uu.nl/~gent0113/calendar/isocalendar.htm |title=The Mathematics of the ISO 8601 Calendar|author=Robert van Gent|date=2017|publisher=Utrecht University, Department of Mathematics|access-date=20 July 2017}}

!scope=row| Decade

!colspan=2| 1st !!colspan=2| 2nd !! 3rd !!colspan=2| 4th !!colspan=2| 5th !! 6th !!colspan=2| 7th !! 8th !! 9th !!colspan=2| 10th

style="opacity: 0.5;"

! style="background-color:#efefef;" | 16th century

| colspan="13" | prior to first adoption (proleptic)

1585colspan=2| 1591
style="background-color:#efefef;" | 17th century

|colspan=2| 1602 || 1613 || 1619 || 1630 ||colspan=2| — || 1641 || 1647 || 1658 ||colspan=2| 1669 || 1675 || 1686 ||colspan=2| 1697

style="background-color:#efefef;" | 18th century

|colspan=2| 1709 ||colspan=2| 1715 || 1726 ||colspan=2| 1737 ||colspan=2| 1743 || 1754 ||colspan=2| 1765 || 1771 || 1782 || 1793 || 1799

style="background-color:#efefef;" | 19th century

|colspan=2| 1805 ||colspan=2| 1811 || 1822 || 1833 || 1839 ||colspan=2| — || 1850 || 1861 || 1867 || 1878 || 1889 ||colspan=2| 1895

style="background-color:#efefef;" | 20th century

| 1901 || 1907 ||colspan=2| 1918 || 1929 ||colspan=2| 1935 ||colspan=2| 1946 || 1957 ||colspan=2| 1963 || 1974 || 1985 ||colspan=2| 1991

style="background-color:#efefef;" | 21st century

|colspan=2| 2002 || 2013 || 2019 || — ||colspan=2|2030 || 2041 || 2047 || 2058 ||colspan=2| 2069 || 2075 || 2086 ||colspan=2| 2097

style="background-color:#efefef;" | 22nd century

|colspan=2| 2109 ||colspan=2| 2115 || 2126 ||colspan=2| 2137 ||colspan=2| 2143 || 2154 ||colspan=2| 2165 || 2171 || 2182 || 2193 || 2199

style="background-color:#efefef;" | 23rd century

|colspan=2| 2205 ||colspan=2| 2211 || 2222 || 2233 || 2239 ||colspan=2| — || 2250 || 2261 || 2267 || 2278 || 2289 ||colspan=2| 2295

style="background-color:#efefef;" | 24th century

| 2301 || 2307 ||colspan=2| 2318 || 2329 ||colspan=2| 2335 ||colspan=2| 2346 || 2357 ||colspan=2| 2363 || 2374 || 2385 ||colspan=2| 2391

class="wikitable"

|+ 400-year cycle

0–99

| 2 || 13 || 19 || 30 || 41 || 47 || 58 || 69 || 75 || 86 || 97

100–199

| 109 || 115 || 126 || 137 || 143 || 154 || 165 || 171 || 182 || 193 || 199

200–299

| 205 || 211 || 222 || 233 || 239 || 250 || 261 || 267 || 278 || 289 || 295

300–399

| 301 || 307 || 318 || 329 || 335 || 346 || 357 || 363 || 374 || 385 || 391

= 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 in the Church of England as 29 February has no letter). Each of the seven two-letter sequences occurs 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 7, 18 and 24 of the cycle are common years beginning on Tuesday. 2017 is year 10 of the cycle. Approximately 10.71% of all years are common years beginning on Tuesday.

class="wikitable"

|+ Julian common years starting on Tuesday

!scope=row| Decade

!colspan=2| 1st !!colspan=2| 2nd !!colspan=2| 3rd !!colspan=2| 4th !!colspan=2| 5th !!colspan=2| 6th !!colspan=2| 7th !!colspan=2| 8th !!colspan=2| 9th !!colspan=2| 10th

style="background-color:#efefef;" | 15th century

|colspan=2| 1409 ||colspan=2| 1415 ||colspan=2| 1426 ||colspan=2| 1437 ||colspan=2| 1443 ||colspan=2| 1454 ||colspan=2| 1465 ||colspan=2| 1471 ||colspan=2| 1482 || 1493 || 1499

style="background-color:#efefef;" | 16th century

|colspan=2| 1510 ||colspan=2| — || 1521 || 1527 ||colspan=2| 1538 ||colspan=2| 1549 ||colspan=2| 1555 ||colspan=2| 1566 ||colspan=2| 1577 ||colspan=2| 1583 ||colspan=2| 1594

style="background-color:#efefef;" | 17th century

|colspan=2| 1605 ||colspan=2| 1611 ||colspan=2| 1622 || 1633 || 1639 ||colspan=2| 1650 ||colspan=2| — || 1661 || 1667 ||colspan=2| 1678 ||colspan=2| 1689 ||colspan=2| 1695

style="background-color:#efefef;" | 18th century

|colspan=2| 1706 ||colspan=2| 1717 ||colspan=2| 1723 ||colspan=2| 1734 ||colspan=2| 1745 ||colspan=2| 1751 ||colspan=2| 1762 || 1773 || 1779 ||colspan=2| 1790 ||colspan=2| —

style="background-color:#efefef;" | 19th century

| 1801 || 1807 ||colspan=2| 1818 ||colspan=2| 1829 ||colspan=2| 1835 ||colspan=2| 1846 ||colspan=2| 1857 ||colspan=2| 1863 ||colspan=2| 1874 ||colspan=2| 1885 ||colspan=2| 1891

style="background-color:#efefef;" | 20th century

|colspan=2| 1902 || 1913 || 1919 ||colspan=2| 1930 ||colspan=2| — || 1941 || 1947 ||colspan=2| 1958 ||colspan=2| 1969 ||colspan=2| 1975 ||colspan=2| 1986 ||colspan=2| 1997

style="background-color:#efefef;" | 21st century

|colspan=2| 2003 ||colspan=2| 2014 ||colspan=2| 2025 ||colspan=2| 2031 ||colspan=2| 2042 || 2053 || 2059 ||colspan=2| 2070 ||colspan=2| — || 2081 || 2087 ||colspan=2| 2098

Holidays

= International =

= Roman Catholic Solemnities =

= Australia and New Zealand =

= British Isles =

= Canada =

= United States =

References

{{Reflist}}

{{List of calendars}}

{{DEFAULTSORT:Common Year Starting On Tuesday}}

Category:Gregorian calendar

Category:Julian calendar

Category:Tuesday