Perfect month
A perfect month or a rectangular month designates a month whose number of days is divisible by the number of days in a week and whose first day corresponds to the first day of the week.[1][2] This causes the arrangement of the days of the month to resemble a rectangle. In the Gregorian calendar, this arrangement can only occur for the month of February.
Constraints
[edit]To satisfy such an arrangement in the Gregorian calendar, the number of days in the month must be divisible by seven. Only the month of February of a common year can meet this constraint as the month has 28 days, a multiple of 7.[3]
For a February to be a perfect month, the month must start on the first day of the week (usually considered to be Sunday or Monday). For Sunday-first calendars, this means that the year must start on a Thursday, and for Monday-first calendars, the year must start on a Friday. It must also occur in a common year, as the phenomenon does not occur when February has 29 days.
Occurrence
[edit]In the Gregorian calendar, the phenomenon occurs every six years or eleven years following a 6-11-11, 11-6-11, or an 11-11-6 sequence until the end of the 21st century. The most recent perfect months were February 2015 (Sunday-first) and February 2021 (Monday-first).[4] Due to calculation rules, the years 1700, 1800, and 1900 are not leap years, causing a shift in the sequence with a spacing of twelve years between 1698 and 1710, 1795 and 1807, and 1897 and 1909 respectively; however 2094, 2100 and 2106 will all feature perfect months with spacings of six years on Monday-first calendars.
The next perfect months will be February 2026 (Sunday-first) and February 2027 (Monday-first).
Attributes
[edit]The calendar arrangement brings together notions of harmony and organization.[5][6]
Perfect months
[edit]February 1903, February 1909, February 1914, February 1915, February 1925, February 1926, February 1931, February 1937, February 1942,February 1943, February 1953, February 1954, February 1959, February 1965, February 1970, February 1971, February 1981 February 1982, February 1987, February 1993, February 1998, February 1999, February 2009, February 2010, February 2015, February 2021, February 2026, February 2027, February 2037, February 2038, February 2043, February 2049, February 2054, February 2055, February 2065, February 2066, February 2071, February 2077, February 2082, February 2083, February 2093, February 2094, February 2099
See also
[edit]References
[edit]- ^ Norris, Phil (1 February 2021). "February is looking to be a perfect month on paper". GloucestershireLive. Retrieved 1 February 2021.
- ^ de La Taille, François (31 January 2021). ""Mois parfait", palindrome: quand février 2021 rend fous les fétichistes des chiffres". BFMTV.com (in French). Retrieved 1 February 2021.
- ^ Shaloo Tiwari (1 February 2021). "Why Is February 2021, a Rectangle Month? Happy Posts Take Over Twitter as the Second Month This Year Forms a Perfect Rectangle Shape!". latestly.com. Retrieved 1 February 2021.
- ^ Lombart, Gaël (30 January 2021). "Février 2021, mois «parfait»... sur le calendrier". leparisien.fr (in French). Retrieved 1 February 2021.
- ^ Focraud, Arnaud (29 January 2021). "En février, vous entrerez dans un "mois parfait" (selon le calendrier)". lejdd.fr (in French). Retrieved 1 February 2021.
- ^ Leray, Olivia (1 February 2021). "On ne pouvait pas le rater. Malgré le coronavirus, février sera parfait". francetvinfo.fr (in French). Retrieved 1 February 2021.