Glossary: Difference between revisions

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'''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.


'''rank''' - The number of generators of a set of intervals. e.g. 12-tone equal temperament is rank-1 because it can be generated by the semitone; the Pythagorean scale is rank-2 because it can be generated by the primes {2, 3}.
'''rank''' - The number of generators of a set of intervals, i.e. the set's dimensionality. For example, 12edo is rank-1 because it can be generated by the semitone; the Pythagorean scale is rank-2 because it can be generated by the primes {2, 3}.


'''equal temperament''' - A rank-1 temperament. The temperament-agnostic term is [[equal-step tuning]].
'''equal temperament''' - A rank-1 temperament. The temperament-agnostic term is [[equal-step tuning]].