Usually means: Year's position in Metonic cycle.
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We found 11 dictionaries that define the word golden number:

General (9 matching dictionaries)
  1. golden number: Merriam-Webster
  2. golden number: Oxford Learner's Dictionaries
  3. golden number: Collins English Dictionary
  4. golden number: Wordnik
  5. golden number: Wiktionary
  6. golden number: Dictionary.com
  7. Golden number (time), Golden number, The Golden Number: Wikipedia, the Free Encyclopedia
  8. golden number: FreeDictionary.org
  9. golden number: TheFreeDictionary.com

Science (2 matching dictionaries)
  1. Golden Number: Eric Weisstein's World of Astronomy
  2. golden number: PlanetMath Encyclopedia

Definitions from Wiktionary (golden number)

noun:  (chronology) A number showing the year of the lunar or Metonic cycle. It is reckoned from 1 to 19, and is so called from having formerly been written in the calendar in gold.
noun:  (mathematics) Synonym of golden ratio

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