A Lunar Calendar Synchronized Using Continued Fractions

the grand cycle             LC               LC LC SC LC LC SC LC LC SC LC LC SC LC LC SC LC LC SC LC LC SC LC LC SC LC LC SC LC LC SC LC LC SC LC LC SC LC LC SC LC LC SC LC LC SC LC LC SC LC LC SC

Red indicates the day (the period between two consecutive local mean conjunctions of the Earth and sun) corresponding to January 1, 2001 on the Prime Meridian.

a short cycle (SC) S S L       S S L   S S L   S L S S L         S S L   S L

a long cycle (LC) S S L       S S L   S S L   S L S S L       S S L   S S L   S L S S L         S S L   S L

the grand cycle LC   SC   SC   SC   SC       SC SC SC SC     SC SC SC SC     SC SC SC SC   LC   SC   SC   SC   SC       SC SC SC SC     SC SC SC SC     SC SC SC SC   LC   SC   SC   SC   SC       SC SC SC SC     SC SC SC SC     SC SC SC SC SC

Red indicates the month (the period between two consecutive mean conjunctions of the moon and sun) corresponding to lunation 903 (begining on December 22, 1995)

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