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Scala files are periodic scales
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'''generators''' - A set of intervals that generate a larger set through linear combination. e.g. the primes {2, 3} generate the Pythogorean scale.
'''generators''' - A set of intervals that generate a larger set through linear combination. e.g. the primes {2, 3} generate the Pythogorean scale.


'''temperament''' - A mapping from a just intonation to a set of intervals with fewer generators. expressible as a [[Intro_to_Mappings|mapping matrix]] whose columns are generators of the just intonation and whose rows are generators of the temperament. In particular, the row vectors are called [[Vals_and_Tuning_Space|vals]].
'''temperament''' - A mapping from a [[just intonation subgroup]] to a set of intervals with fewer generators. expressible as a [[Intro_to_Mappings|mapping matrix]] whose columns are generators of the just intonation and whose rows are generators of the temperament. In particular, the row vectors are called [[Vals_and_Tuning_Space|vals]].


'''comma''' - A rational number that maps to 1/1 in a given temperament.
'''comma''' - A rational number that maps to 1/1 in a given temperament.