Semifourth-generated scales: Difference between revisions
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The semifourth-generated scales are characteristically 4L 1s, semiquartal (5L4s), and 5L9s. 4L 1s is structurally significant because it is the [[Equipentatonic|equal trichordal pentatonic]]. | The semifourth-generated scales are characteristically 4L 1s, semiquartal (5L4s), and 5L9s. 4L 1s is structurally significant because it is the [[Equipentatonic|equal trichordal pentatonic]]. | ||
== Intervals and notation == | == Intervals and notation == | ||
Alpha-dicot notation is complicated as it conventionally requires either the introduction of new "hemi-Pythagorean" ordinals or the use of scales other than the standard diatonic scale. As such, there is no universally accepted convention. An intuitive option, if one that takes getting used to, is to use KISS notation or diamond-mos notation for 5L 4s. | Alpha-dicot notation is complicated as it conventionally requires either the introduction of new "hemi-Pythagorean" ordinals or the use of scales other than the standard diatonic scale. As such, there is no universally accepted convention. An intuitive option, if one that takes getting used to, is to use [https://en.xen.wiki/w/KISS_notation KISS] notation or [https://en.xen.wiki/w/Diamond-mos_notation diamond-mos] notation for 5L 4s. | ||
== See also == | == See also == | ||
* [[Chthonic harmony]] | * [[Chthonic harmony]] | ||
Revision as of 18:52, 22 March 2026
Semifourth-generated scales are scales in tuning systems where two generators of approximately 250 cents in size stack to a perfect fourth, defining a temperament archetype called alpha-dicot or omega-dicot, and notated [P8, P4/2] in pergen notation.
The semifourth-generated scales are characteristically 4L 1s, semiquartal (5L4s), and 5L9s. 4L 1s is structurally significant because it is the equal trichordal pentatonic.
Intervals and notation
Alpha-dicot notation is complicated as it conventionally requires either the introduction of new "hemi-Pythagorean" ordinals or the use of scales other than the standard diatonic scale. As such, there is no universally accepted convention. An intuitive option, if one that takes getting used to, is to use KISS notation or diamond-mos notation for 5L 4s.
