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Week
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A week is a grouping of days or a division of a larger grouping such as a lunar month, year, etc. The week allows for shorter routine than a month and benefits groups of people with organising market days, worship, taxes, etc. Most parts of the world currently use a seven-day week. Weeks of other lengths have been used historically in various places.
Five-day Javanese The Javanese people of Indonesia have a 5 day week known as the Pasaran cycle.

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Encyclopedia
A week is a grouping of days or a division of a larger grouping such as a lunar month, year, etc. The week allows for shorter routine than a month and benefits groups of people with organising market days, worship, taxes, etc. Most parts of the world currently use a seven-day week. Weeks of other lengths have been used historically in various places.
Five-day
Javanese The Javanese people of Indonesia have a 5 day week known as the Pasaran cycle. This is still in use today and superimposed with Gregorian calendar and Islamic calendar to become what is known as the Wetonan Cycle.
Soviet Union Between 1929 and 1931 USSR changed from the 7 day week to a 5 day week. There were 72 weeks and an additional 5 national holidays inserted within 3 of them totaling a year of 365 days.
Six-day
Soviet Union In 1931 after the Soviet Union's 5 day week they changed to a 6 day week. Every 6th day (6th, 12th, 18th, 24th and 30th) of the Gregorian Calendar was a state rest day. The 5 additional national holidays in the earlier 5 day week remained and did not fall on the state rest day.
But as January, March, May, July, August, October and December have 31 days, the week after the state rest day of the 30th was 7 days long (31st-7th). This extra day was a working day for most or extra holiday for others.
Also as February is only 28 or 29 days depending if a leap year or not, the 1st of March was also made a state rest day, although not every enterprise conformed to this.
To clarify, the week after the state rest day of the 24th; 25th February to the 1st March, was only 5 or 6 days long, depending if a leap year or not. The week after that; 2nd to 6th March, only 5 days.
The calendar was abandoned 26 June 1940 and the 7 day week reintroduced the day after.
Akan The Akan people have 42 day cycle known as Adaduanan. The Adaduanan cycle appears to be based on an older six-day week, still extant in some northern Guan communities such as the Nchumuru , on which is superimposed a seven-day week which may have been brought south with itinerant traders from the Savannah. The six-day week is referred to as Nanson (literally seven-days) and reflect the lack of zero in the numbering systems; the last day and the first day are both included when counting the days of a week.
Seven-day The proposed reform; World Calendar, has 52 weeks and one or two extra weekless days each year, which do not count in the weekly cycles.
Eight-day
Etruscans (and Romans) The ancient Etruscans, developed an 8 day market week known as the nundinal cycle around 8th or 7th century BCE. This was passed on to the Romans no later than the 6th century BCE. As Rome expanded it encountered the 7 day week and for a time attempted to include both. The popularity of the 7 day rhythm won and the 8 day week disappeared forever. Emperor Constantine eventually established the 7 day week in the Roman calendar and in 321 CE.
Celts It is believed the Celtic people used a nine night week. The moon was used to measure one day from another so nights were more significant. The 9 nights divided nicely into a Sidereal Month of 27 nights. Each week of 9 nights had 8 days. There was also a half week of 5 nights and 4 days.
Nine-day
Lithuanian In the 14th century the Grand Duchy of Lithuania used a solar-lunar calendar. The structure of this calendar was understood with the help of the so-called Gediminas Sceptre discovered in 1680
Ancient Balts
Historical records give evidence that the week of ancient Balts was nine-days long. Thus, the sidereal month must have been divided into three parts.
Ten-day
China The Chinese 10 day week went as far back as the Shang Dynasty (1200-1045 BCE). The law in the Han Dynasty (206 BCE – 220 CE) required officials of the empire to rest every 5 days, called "mu", while it was changed into 10 days in the Tang Dynasty (618 CE – 907CE), called "huan" or xún. Months were almost 3 weeks long (alternating 29 and 30 days to keep in line with the lunation). The weeks were labelled shàng xún, zhong xún, and xià xún which mean roughly "upper", "middle" and "lower" week.
Egypt Ancient Egypt had a 10 day week, 3 per month with 5 extra days at the end of the year
France A 10 day week was used in France for 12 years from late 1793 to 1805. And for 18 days in 1871 in Paris.
Thirteen-day
Aztecs The Aztecs divided a ritual cycle of 260 days, known as Tonalpohualli, into 20 weeks of 13 days known as Trecena.
Maya The Maya divided a 260 ritual cycle known Tzolk'in as into 20 weeks of 13 days known as Trecena.
Twenty-day
Aztecs The Aztecs divided a solar year of 365 days, Xiuhpohualli into 18 periods of 20 days and 5 nameless days known as Nemontemi. Although some call this 20 day division or grouping a month, it has no relation to a lunation and therefore the word week is more appropriate.
Maya The Maya also divided a the year Haab' into 18 periods of 20 days Uinal and 5 nameless days known as Wayeb.
Other
Bali, Indonesia The Pawukon is a 210 day calendar consisting of 10 different concurrent weeks of 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 days
Hermetic lunar week The Hermetic Lunar Week Calendar is one of many proposed reforms to the Gregorian Calendar. The lunation is divided into the four Moon Phases and has 6, 7, 8, or 9 days depending on the actual time difference between the Full Moon, First Quarter, New Moon and Last Quarter.
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