Common year starting on Monday

A common year starting on Monday is any non-leap year (i.e., a year with 365 days) that begins on Monday, 1 January, and ends on Monday, 31 December. Its dominical letter hence is G. The most recent year of such kind was 2018 and the next one will be 2029 in the Gregorian calendar, or likewise, 2019 and 2030 in the Julian calendar, see below 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 that yield a remainder of 300 when divided by 400. The most recent such year was 1900 and the next one will be 2300.

This is the only common year with three occurrences of Tuesday the 13th: those three in this common year occur in February, March, and November. Leap years starting on Thursday 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 Tuesday the 13th.

Any common year that starts on Sunday, Monday or Tuesday has two Friday the 13ths: those two in this common year occur in April and July. Leap years starting on Sunday share this characteristic, but also have another in January.

Calendars

Calendar for any common year starting on Monday,
presented as common in many English-speaking areas

ISO 8601-conformant calendar with week numbers for
any common year starting on Monday (dominical letter G)

Wk	Mo	Tu	We	Th	Fr	Sa	Su
	January
01	01	02	03	04	05	06	07
02	08	09	10	11	12	13	14
03	15	16	17	18	19	20	21
04	22	23	24	25	26	27	28
05	29	30	31

Wk	Mo	Tu	We	Th	Fr	Sa	Su
	February
05				01	02	03	04
06	05	06	07	08	09	10	11
07	12	13	14	15	16	17	18
08	19	20	21	22	23	24	25
09	26	27	28

Wk	Mo	Tu	We	Th	Fr	Sa	Su
	March
09				01	02	03	04
10	05	06	07	08	09	10	11
11	12	13	14	15	16	17	18
12	19	20	21	22	23	24	25
13	26	27	28	29	30	31

Wk	Mo	Tu	We	Th	Fr	Sa	Su
	April
13							01
14	02	03	04	05	06	07	08
15	09	10	11	12	13	14	15
16	16	17	18	19	20	21	22
17	23	24	25	26	27	28	29
18	30

Wk	Mo	Tu	We	Th	Fr	Sa	Su
	May
18		01	02	03	04	05	06
19	07	08	09	10	11	12	13
20	14	15	16	17	18	19	20
21	21	22	23	24	25	26	27
22	28	29	30	31

Wk	Mo	Tu	We	Th	Fr	Sa	Su
	June
22					01	02	03
23	04	05	06	07	08	09	10
24	11	12	13	14	15	16	17
25	18	19	20	21	22	23	24
26	25	26	27	28	29	30

Wk	Mo	Tu	We	Th	Fr	Sa	Su
	July
26							01
27	02	03	04	05	06	07	08
28	09	10	11	12	13	14	15
29	16	17	18	19	20	21	22
30	23	24	25	26	27	28	29
31	30	31

Wk	Mo	Tu	We	Th	Fr	Sa	Su
	August
31			01	02	03	04	05
32	06	07	08	09	10	11	12
33	13	14	15	16	17	18	19
34	20	21	22	23	24	25	26
35	27	28	29	30	31

Wk	Mo	Tu	We	Th	Fr	Sa	Su
	September
35						01	02
36	03	04	05	06	07	08	09
37	10	11	12	13	14	15	16
38	17	18	19	20	21	22	23
39	24	25	26	27	28	29	30

Wk	Mo	Tu	We	Th	Fr	Sa	Su
	October
40	01	02	03	04	05	06	07
41	08	09	10	11	12	13	14
42	15	16	17	18	19	20	21
43	22	23	24	25	26	27	28
44	29	30	31

Wk	Mo	Tu	We	Th	Fr	Sa	Su
	November
44				01	02	03	04
45	05	06	07	08	09	10	11
46	12	13	14	15	16	17	18
47	19	20	21	22	23	24	25
48	26	27	28	29	30

Wk	Mo	Tu	We	Th	Fr	Sa	Su
	December
48						01	02
49	03	04	05	06	07	08	09
50	10	11	12	13	14	15	16
51	17	18	19	20	21	22	23
52	24	25	26	27	28	29	30
01	31

Applicable years

Gregorian calendar

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

Gregorian common years starting on Monday^[1]
Decade	1st		2nd	3rd		4th	5th	6th		7th	8th		9th		10th
16th century	prior to first adoption (proleptic)														1590
17th century	1601	1607	1618	1629		1635	1646	1657		1663	1674		1685		1691
18th century	1703		1714	1725		1731	1742	1753	1759	—	1770		1781	1787	1798
19th century	—		1810	1821	1827	1838	1849	1855		1866	1877		1883		1894	1900
20th century	1906		1917	1923		1934	1945	1951		1962	1973	1979	—		1990
21st century	2001	2007	2018	2029		2035	2046	2057		2063	2074		2085		2091
22nd century	2103		2114	2125		2131	2142	2153	2159	—	2170		2181	2187	2198
23rd century	—		2210	2221	2227	2238	2249	2255		2266	2277		2283		2294	2300
24th century	2306		2317	2323		2334	2345	2351		2362	2373	2379	—		2390

400-year cycle
0–99	1	7	18	29	35	46	57	63	74	85	91
100–199	103	114	125	131	142	153	159	170	181	187	198
200–299	210	221	227	238	249	255	266	277	283	294
300–399	300	306	317	323	334	345	351	362	373	379	390

Julian calendar

In the Julian calendar, the fourteen types of year (seven common, seven leap) repeat in a 28-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 6, 12 and 23 of the cycle are common years beginning on Monday. 2017 is year 10 of the cycle. Approximately 10.71% of all years are common years beginning on Monday.

Julian common years starting on Monday
Decade	1st		2nd		3rd		4th		5th		6th		7th		8th		9th		10th
15th century	1403		1414		1425		1431		1442		1453	1459	1470		—		1481	1487	1498
16th century	1509		1515		1526		1537		1543		1554		1565		1571		1582		1593	1599
17th century	1610		—		1621	1627	1638		1649		1655		1666		1677		1683		1694
18th century	1705		1711		1722		1733	1739	1750		—		1761	1767	1778		1789		1795
19th century	1806		1817		1823		1834		1845		1851		1862		1873	1879	1890		—
20th century	1901	1907	1918		1929		1935		1946		1957		1963		1974		1985		1991
21st century	2002		2013	2019	2030		—		2041	2047	2058		2069		2075		2086		2097

Holidays

International

- Valentine's Day falls on a Wednesday
- World Day for Grandparents and the Elderly falls on its earliest possible date, July 22
- Halloween falls on a Wednesday
- Christmas Day falls on a Tuesday

Roman Catholic Solemnities

- Epiphany falls on a Saturday
- Candlemas falls on a Friday
- Saint Joseph's Day falls on a Monday
- The Annunciation of Jesus falls on a Sunday
- The Nativity of John the Baptist falls on a Sunday
- The Solemnity of Saints Peter and Paul falls on a Friday
- The Transfiguration of Jesus falls on a Monday
- The Assumption of Mary falls on a Wednesday
- The Exaltation of the Holy Cross falls on a Friday
- All Saints' Day falls on a Thursday
- All Souls' Day falls on a Friday
- The Feast of Christ the King falls on November 25 (or on October 28 in versions of the calendar between 1925 and 1962)
- The First Sunday of Advent falls on December 2
- The Immaculate Conception falls on a Saturday
- Gaudete Sunday falls on December 16
- Rorate Sunday falls on December 23

Australia and New Zealand

- Australia Day falls on a Friday
- Waitangi Day falls on a Tuesday
- Daylight saving ends on its earliest possible date, April 1
- ANZAC Day falls on a Wednesday
- Mother's Day falls on May 13
- Father's Day falls on September 2
- Daylight saving begins on its latest possible date, September 30 in New Zealand and October 7 in Australia – this is the only common year where the period of standard time over the winter months lasts 26 weeks in New Zealand and 27 weeks in Australia (in all other common years, it lasts only 25 weeks in New Zealand and 26 weeks in Australia)

References

↑ Robert van Gent (2017). "The Mathematics of the ISO 8601 Calendar". Utrecht University, Department of Mathematics. Retrieved 20 July 2017.

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[math-1] Robert van Gent (2017). "The Mathematics of the ISO 8601 Calendar". Utrecht University, Department of Mathematics. Retrieved 20 July 2017.

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