Ploidacot/Enneacot: Difference between revisions
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{{Infobox ploidacot|Ploids=1|Shears=0|Cots=9|Pergen=[P8, P5/9]|Forms=15, 16, 31|Title=Enneacot|Wedgie=9}} | |||
'''Enneacot''' is a temperament archetype where the generator is a small semitone, nine of which make a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Enneacot temperaments also include all [[tricot]] intervals, as the tricot generator is split further into three. | '''Enneacot''' is a temperament archetype where the generator is a small semitone, nine of which make a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Enneacot temperaments also include all [[Ploidacot/Tricot|tricot]] intervals, as the tricot generator is split further into three. | ||
Enneacot temperaments generate the [[15L 1s]] MOS scale, and are mostly famous in the form of the [[Carlos Alpha]] scale, which is usually perceived as multiple independent chains of enneacot generators offset by octaves. | Enneacot temperaments generate the [[15L 1s]] MOS scale, and are mostly famous in the form of the [[Carlos Alpha]] scale, which is usually perceived as multiple independent chains of enneacot generators offset by octaves. | ||
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=== Valentine === | === Valentine === | ||
[[Valentine]] is the standard [[regular temperament]] interpretation of the Carlos Alpha scale as an ET. 5 generators is [[5/4]], 4 is [[6/5]], and 3 is [[8/7]]. It can be extended to the 11-limit by setting 7 steps to [[11/8]]; [[Valentine extensions|a few mappings]] of 13 are possible, the most accurate of which maps 20 generators to [[32/13]]. | [[Valentine]] is the standard [[regular temperament]] interpretation of the Carlos Alpha scale as an ET. 5 generators is [[5/4]], 4 is [[6/5]], and 3 is [[8/7]]. It can be extended to the 11-limit by setting 7 steps to [[11/8]]; [[Valentine extensions|a few mappings]] of 13 are possible, the most accurate of which maps 20 generators to [[32/13]]. | ||