Submajor and supraminor: Difference between revisions

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Submajor and supraminor intervals are found in flatly tuned [[5L 2s|diatonic scales]], such as where the fifth is tuned to around 691 cents. For a given [[neutral]] interval ''k'' in cents, submajor ranges from roughly ''k''+10 to ''k''+24 cents, and supraminor ranges from roughly ''k''-24 to ''k''-10 cents. For example, submajor seconds are found between about 157 to 171 cents, containing the lower range of the "[[equable heptatonic]]" region defined by [[Margo Schulter]].

Submajor and supraminor intervals are associated with [[Ploidacot/Omega-tricot|omega-tricot]] systems, as one generator represents a submajor second and two represent a supraminor third.

Submajor and supraminor intervals are associated with [[Ploidacot/Omega-tricot|omega-tricot]] systems, as one generator represents a submajor second and two represent a supraminor third. Supraminor thirds could be seen as the cube roots of minor sevenths and submajor thirds could be seen as the cube roots of major sevenths, enabling "equidistant" minor seventh chords and major seventh chords respectively.

== Terminology ==

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 Submajor and supraminor intervals are found in flatly tuned [[5L 2s|diatonic scales]], such as where the fifth is tuned to around 691 cents. For a given [[neutral]] interval ''k'' in cents, submajor ranges from roughly ''k''+10 to ''k''+24 cents, and supraminor ranges from roughly ''k''-24 to ''k''-10 cents. For example, submajor seconds are found between about 157 to 171 cents, containing the lower range of the "[[equable heptatonic]]" region defined by [[Margo Schulter]].
-Submajor and supraminor intervals are associated with [[Ploidacot/Omega-tricot|omega-tricot]] systems, as one generator represents a submajor second and two represent a supraminor third.
+Submajor and supraminor intervals are associated with [[Ploidacot/Omega-tricot|omega-tricot]] systems, as one generator represents a submajor second and two represent a supraminor third. Supraminor thirds could be seen as the cube roots of minor sevenths and submajor thirds could be seen as the cube roots of major sevenths, enabling "equidistant" minor seventh chords and major seventh chords respectively.
 == Terminology ==