Ploidacot/Tetracot: Difference between revisions

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{{Breadcrumb}}{{Infobox ploidacot|Ploids=1|Shears=0|Cots=4|Pergen=[P8, P5/4]|Forms=6, 7, 13|Title=Tetracot}}'''Tetracot''' is a temperament archetype where the generator is a submajor second, four of which make a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Tetracot temperaments typically generate the [[1L 5s]] and [[6L 1s]] MOS scales, and they split the chromatic semitone into four equal parts, creating "supraminor", "neutral", and "submajor" intervals.
{{Breadcrumb}}{{Infobox ploidacot|Ploids=1|Shears=0|Cots=4|Pergen=[P8, P5/4]|Forms=6, 7, 13|Title=Tetracot}}'''Tetracot''' is a temperament archetype where the generator is a submajor second, four of which make a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Tetracot temperaments typically generate the [[1L 5s]] and [[6L 1s]] MOS scales, and they split the chromatic semitone into four equal parts, creating "supraminor", "neutral", and "submajor" intervals and containing all [[Ploidacot/Dicot|dicot]] intervals.


== Intervals and notation ==
== Intervals and notation ==
While there is no agreed-upon notation system for tetracot, the notation provided here is based on interpreting the generator as a submajor second, and produced by extending [[Ploidacot/Dicot|dicot]] notation, allowing for an ^ or v to stand for a quarter of a chromatic semitone. Eb^^ = Evv = Ed.
While there is no agreed-upon notation system for tetracot, the notation provided here is based on interpreting the generator as a submajor second, and produced by extending dicot notation, allowing for an ^ or v to stand for a quarter of a chromatic semitone. Eb^^ = Evv = Ed.
{| class="wikitable"
{| class="wikitable"
|+Tetracot intervals (assuming pure fifth and octave)
|+Tetracot intervals (assuming pure fifth and octave)