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Golden number (time)

From Wikipedia, the free encyclopedia
(Redirected fromGolden numbers)
Position of the year within the 19-year Metonic cycle
Not to be confused withGolden ratio.
Month of January fromCalendarium Parisiense (fourth quarter of the 14th c.). The golden numbers, in the leftmost column, indicate the date of the new moon for each year in the 19-year cycle
Face on theZimmer tower inLier, Belgium: On the outer ring, the hand points to the golden number, or the number of the current year in themetonic cycle. The inner ring shows theepact, which is the age of the moon on the first of January of the current year.

Agolden number (sometimes capitalized) is a number assigned to eachyear in sequence which is used to indicate the dates of all thecalendric new moons for each year in a 19-yearMetonic cycle. They are used incomputus (the calculation of the date ofEaster) and also inRunic calendars.

The golden number of anyJulian orGregorian calendar year can be calculated by dividing the year by nineteen, taking the remainder and adding one.[1] (In mathematics this can be expressed as ((year numbermodulo 19) + 1).

For example, 2025 divided by 19 gives 106, remainder 11, which after adding 1 gives the golden number 12.

The golden number, as it was later called, first appears in a calendar composed byAbbo of Fleury around the year 1000. Around 1162 a certain Master William referred to this number as the golden number "because it is more precious than the other numbers."[2] The name refers to the practice of printing golden numbers in gold.[3] The term became widely known and used, in part through the computistic poemMassa Compoti written byAlexander de Villa Dei around 1200.[4]

See also

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References

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  1. ^Explanatory Supplement to the Astronomical Ephemeris and the American Ephemeris and Nautical Almanac (London: Her Majesty's Stationery Office, 1961),pp. 421-422.
  2. ^Nothaft, C. Philipp E. (2018).Scandalous Error: Calendar Reform and Calendrical Astronomy in Medieval Europe. Oxford: Oxford University Press. pp. 57–58.ISBN 978-0-19-879955-9.Archived from the original on 2021-06-17. Retrieved2022-01-11.
  3. ^Pears cyclopaedia 2017-2018 : a book of reference and background information for all the family. Chris Cook (126th ed.). London, England. 2017.ISBN 978-0-14-198554-1.OCLC 990110486.{{cite book}}: CS1 maint: location missing publisher (link) CS1 maint: others (link)
  4. ^van Wijk, Walter Emile (1936).Le Nombre d'Or: Étude de chronologie technique suivie du texte de la Massa Compoti d'Alexandre de Villedieu [The Golden Number: A Study of the technique of chronology following the text of Massa Compoti by Alexandre de Villedieu] (in French). The Hague: Martinus Nijhoff.Archived from the original on 2020-10-19. Retrieved2022-01-11.

External links

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