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, 2013, 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.

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.[globalize]

In this common year, Martin Luther King Jr. Day is on its earliest possible date, January 15, Valentine's Day, U.S. Independence Day and Halloween fall on a Wednesday, President's Day is on February 19, Saint Patrick's Day is on a Saturday, Juneteenth is on a Tuesday, Memorial Day is on May 28, Labor Day is on September 3, Columbus Day is on its earliest possible date, October 8, Election Day in the USA is on November 6th, Veterans Day is on a Sunday, Thanksgiving is on its earliest possible date, November 22, and Christmas is on a Tuesday.[globalize]

CalendarsEdit

Calendar for any common year starting on Monday,
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 with week numbers for
any common year starting on Monday (dominical letter G)
January
Wk Mo Tu We Th Fr Sa Su
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  
   
February
Wk Mo Tu We Th Fr Sa Su
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  
   
March
Wk Mo Tu We Th Fr Sa Su
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  
   
April
Wk Mo Tu We Th Fr Sa Su
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  
May
Wk Mo Tu We Th Fr Sa Su
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  
   
June
Wk Mo Tu We Th Fr Sa Su
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
   
July
Wk Mo Tu We Th Fr Sa Su
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  
August
Wk Mo Tu We Th Fr Sa Su
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  
   
September
Wk Mo Tu We Th Fr Sa Su
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
   
October
Wk Mo Tu We Th Fr Sa Su
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  
   
November
Wk Mo Tu We Th Fr Sa Su
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  
   
December
Wk Mo Tu We Th Fr Sa Su
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 yearsEdit

Gregorian calendarEdit

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 2052 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 (add any multiple of 400 to a number in the following list to get a year with this calendar.)

century 1: 1, 7, 18, 29, 35, 46, 57, 63, 74, 85, 91

century 2: 103, 114, 125, 131, 142, 153, 159, 170, 181, 187, 198

century 3: 210, 221, 227, 238, 249, 255, 266, 277, 283, 294, 300

century 4: 306, 317, 323, 334, 345, 351, 362, 373, 379, 390

Julian calendarEdit

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

ReferencesEdit

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