Glossary: Difference between revisions

m The "set" is said wrt the intervals, not the generators
Cmloegcmluin (talk | contribs)
alternative clarification
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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, 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}.
; [[rank]] : The number of generators of a set of intervals, i.e. the set's dimensionality (not to be confused with the [[dimensionality]] of the temperament itself). 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]].