Generator: Difference between revisions
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The term '''generator''' has multiple senses. | The term '''generator''' has multiple senses. | ||
== Generators in MOS == | == Generators in MOS == | ||
In MOS and rank-2 temperament contexts, the '''generator''' of a MOS or a rank-2 temperament is an interval that you stack up and reduce by the [[period]] of the MOS to construct the MOS pattern within each period. For example: | In MOS and rank-2 temperament contexts, the '''generator''' of a MOS or a rank-2 temperament is an interval that you stack up and reduce by the [[period]] of the MOS to construct the MOS pattern within each period. Along with the [[period]], it is one of two defining intervals of the [[MOS]]. For example: | ||
* In [[meantone]], the (flattened) perfect fifth is a generator. Note that the perfect fourth and the perfect twelfth are also generators. | * In [[meantone]], the (flattened) perfect fifth is a generator. Note that the perfect fourth and the perfect twelfth are also generators. | ||
* One example for a MOS with multiple periods per octave: for [[pajara]], the perfect fifth (a tempered [[3/2]]) is a generator and the half-octave is the period. | * One example for a MOS with multiple periods per octave: for [[pajara]], the perfect fifth (a tempered [[3/2]]) is a generator and the half-octave is the period. | ||