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.

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[[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]].

[[Category:Ploidacots]]

[[Category:Ploidacots|Enneacot]]

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 {{Breadcrumb}}
 {{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&nbsp;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]] 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]].
-[[Category:Ploidacots]]
+[[Category:Ploidacots|Enneacot]]