Bipentatonic scale: Difference between revisions

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A '''dipentatonic scale''' is a 10-note octave-equivalent scale where every other note gives ~~an [[MOS]]~~ pentatonic scale. Following from this, dipentatonic scales have a maximum of two sizes for intervals that are an even number of steps. Many dipentatonic scales are generated by a diatonic-sized fifth (between the 7edo fifth and the 5edo fifth) of a fixed size. Some dipentatonic scales are MOSes, such as the Erlich decatonic in [[22edo]]. Modulating by fifths is easy in dipentatonic scales where the interleaved pentatonics are generated by a fifth (i.e. [[2L 3s]] and [[3L 2s]], depending on tuning).

A '''dipentatonic scale''' is a 10-note octave-equivalent scale where every other note gives a fixed choice of pentatonic scale. Following from this, dipentatonic scales based on a [[MOS]] pentatonic scale have a maximum of two sizes for intervals that are an even number of steps. Many dipentatonic scales are generated by a diatonic-sized fifth (between the 7edo fifth and the 5edo fifth) of a fixed size. Some dipentatonic scales are MOSes, such as the Erlich decatonic in [[22edo]]. Modulating by fifths is easy in dipentatonic scales where the interleaved pentatonics are generated by a fifth (i.e. [[2L 3s]] and [[3L 2s]], depending on tuning).

The first part of this article classifies abstract dipentatonic scales by the pentatonics they interleave and by their rank (whether they are mosses or rank-3). The second part of this article surveys dipentatonic scales in [[JI]]. Dipentatonic scales also exist in [[regular temperaments]] of course, but exploration of such scales is not included in the article for now at least.

Revision as of 04:57, 28 October 2022 view source Inthar (talk \| contribs) autopatrolled, emailconfirmed 15,668 edits →Dipentatonic rank-3 scale patterns ← Older edit		Revision as of 00:02, 16 June 2023 view source Inthar (talk \| contribs) autopatrolled, emailconfirmed 15,668 edits No edit summary Tag: Visual edit: Switched Newer edit →
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	A '''dipentatonic scale''' is a 10-note octave-equivalent scale where every other note gives ~~an [[MOS]]~~ pentatonic scale. Following from this, dipentatonic scales have a maximum of two sizes for intervals that are an even number of steps. Many dipentatonic scales are generated by a diatonic-sized fifth (between the 7edo fifth and the 5edo fifth) of a fixed size. Some dipentatonic scales are MOSes, such as the Erlich decatonic in [[22edo]]. Modulating by fifths is easy in dipentatonic scales where the interleaved pentatonics are generated by a fifth (i.e. [[2L 3s]] and [[3L 2s]], depending on tuning).		A '''dipentatonic scale''' is a 10-note octave-equivalent scale where every other note gives a fixed choice of pentatonic scale. Following from this, dipentatonic scales based on a [[MOS]] pentatonic scale have a maximum of two sizes for intervals that are an even number of steps. Many dipentatonic scales are generated by a diatonic-sized fifth (between the 7edo fifth and the 5edo fifth) of a fixed size. Some dipentatonic scales are MOSes, such as the Erlich decatonic in [[22edo]]. Modulating by fifths is easy in dipentatonic scales where the interleaved pentatonics are generated by a fifth (i.e. [[2L 3s]] and [[3L 2s]], depending on tuning).

	The first part of this article classifies abstract dipentatonic scales by the pentatonics they interleave and by their rank (whether they are mosses or rank-3). The second part of this article surveys dipentatonic scales in [[JI]]. Dipentatonic scales also exist in [[regular temperaments]] of course, but exploration of such scales is not included in the article for now at least.		The first part of this article classifies abstract dipentatonic scales by the pentatonics they interleave and by their rank (whether they are mosses or rank-3). The second part of this article surveys dipentatonic scales in [[JI]]. Dipentatonic scales also exist in [[regular temperaments]] of course, but exploration of such scales is not included in the article for now at least.