Bipentatonic scale: Difference between revisions

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A '''dipentatonic scale''' is a 10-note 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.

A '''dipentatonic scale''' is a 10-note 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).

Dipentatonic scales can be classified by their fifth size and the separation between the two chains of fifths. The first part of this article surveys dipentatonic scales you can get in various edos with relatively good fifths. Dipentatonic scales tend to work better with sharper fifths, because it's easier to interleave a minor third of one pentatonic inside a major third of the second pentatonic. 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.

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	A '''dipentatonic scale''' is a 10-note 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.		A '''dipentatonic scale''' is a 10-note 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).

	Dipentatonic scales can be classified by their fifth size and the separation between the two chains of fifths. The first part of this article surveys dipentatonic scales you can get in various edos with relatively good fifths. Dipentatonic scales tend to work better with sharper fifths, because it's easier to interleave a minor third of one pentatonic inside a major third of the second pentatonic. 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.		Dipentatonic scales can be classified by their fifth size and the separation between the two chains of fifths. The first part of this article surveys dipentatonic scales you can get in various edos with relatively good fifths. Dipentatonic scales tend to work better with sharper fifths, because it's easier to interleave a minor third of one pentatonic inside a major third of the second pentatonic. 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.