Glossary: Difference between revisions
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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. | ||
'''just intonation subgroup''' - The set of JI ratios obtainable by stacking (finitely many) copies of a finite set of generators. For example, 7/6 is in the 2.3.7 subgroup. | '''just intonation subgroup''' - The set of JI ratios obtainable by stacking (finitely many) copies of a finite set of generators up or down. For example, 7/6 is in the 2.3.7 subgroup, the set of JI ratios obtained by stacking any numbers of 2/1, 3/1 and 7/1 up and down. | ||
'''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]]. | '''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]]. | ||