Leap year starting on Monday

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Template:Short description A leap year starting on Monday is any year with 366 days (i.e. it includes 29 February) that begins on Monday, 1 January, and ends on Tuesday, 31 December. Its dominical letters hence are GF. The most recent year of such kind was 2024, and the next one will be 2052 in the Gregorian calendar<ref name="math">{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> or, likewise, 2008 and 2036 in the obsolete Julian calendar.

Any leap year that starts on Monday has two Friday the 13ths: those two in this leap year occur in September and December. Common years starting on Tuesday share this characteristic.

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

CalendarsEdit

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presented as common in many English-speaking areas |year=2024 |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}} |float=right |month={{#time:F|Template:Title without disambig 1}} |lk=on |EndNote= |zero=Template:0 |titlestyle={{#if: |background-color:{{{colour}}}; {{#if:|color:{{{fc}}}}} }} |weekstyle={{#if: |background-color:{{{colour}}}; {{#if:|color:{{{fc}}}}} }} }} }} }}

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any leap year starting on Monday (dominical letter GF) |year=2024 |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}} |float=right |month={{#time:F|Template:Title without disambig 1}} |lk=on |EndNote= |zero=0 |titlestyle={{#if: |background-color:{{{colour}}}; {{#if:|color:{{{fc}}}}} }} |weekstyle={{#if: |background-color:{{{colour}}}; {{#if:|color:{{{fc}}}}} }} }} }} }}

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Applicable yearsEdit

Gregorian CalendarEdit

Leap years that begin on Monday, along with those starting on Saturday and Thursday, occur least frequently: 13 out of 97 (≈ 13.4%) total leap years in a 400-year cycle of the Gregorian calendar. Their overall frequency is thus 3.25% (13 out of 400) of years.

Gregorian leap years starting on Monday<ref name=math/>
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
16th century prior to first adoption (proleptic) 1596
17th century 1624 1652 1680
18th century 1720 1748 1776
19th century 1816 1844 1872
20th century 1912 1940 1968 1996
21st century 2024 2052 2080
22nd century 2120 2148 2176
23rd century 2216 2244 2272
24th century 2312 2340 2368 2396
25th century 2424 2452 2480
26th century 2520 2548 2576
27th century 2616 2644 2672
400-year cycle
0–99 24 52 80
100–199 120 148 176
200–299 216 244 272
300–399 312 340 368 396

Julian CalendarEdit

Like all leap year types, the one starting with 1 January on a Monday occurs exactly once in a 28-year cycle in the Julian calendar, i.e. in 3.57% of years. 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).

Julian leap years starting on Monday
Decade 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th
14th century 1308 1336 1364 1392
15th century 1420 1448 1476
16th century 1504 1532 1560 1588
17th century 1616 1644 1672 1700
18th century 1728 1756 1784
19th century 1812 1840 1868 1896
20th century 1924 1952 1980
21st century 2008 2036 2064 2092
22nd century 2120 2148 2176

HolidaysEdit

InternationalEdit

Roman Catholic SolemnitiesEdit

Australia and New ZealandEdit

British IslesEdit

CanadaEdit

United StatesEdit

ReferencesEdit

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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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