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 ~~scales~~ generated by a diatonic-sized fifth (between the 7edo fifth and the 5edo fifth) of a fixed size. Most useful are di-meantone pentatonic and di-superpyth pentatonic. Equivalently, they are scales that have a maximaum of two sizes for intervals that are an even number of steps. Some dipentatonic scales are MOSes, such as the Erlich decatonic in [[22edo]]. Dipentatonic scales are useful because modulating by fifths is easy in them.

A '''dipentatonic scale''' is a 10-note scale where every other note gives an [[MOS]] pentatonic scale generated by a diatonic-sized fifth (between the 7edo fifth and the 5edo fifth) of a fixed size. Most useful are di-meantone pentatonic and di-superpyth pentatonic. Equivalently, they are scales that have a maximaum of two sizes for intervals that are an even number of steps. Some dipentatonic scales are MOSes, such as the Erlich decatonic in [[22edo]]. Dipentatonic scales are useful because modulating by fifths is easy in them.

Dipentatonic scales can be classified by their fifth size and the separation between the two chains of fifths. 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.

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	A '''dipentatonic scale''' is a 10-note scale where every other note gives an [[MOS]] pentatonic ~~scales~~ generated by a diatonic-sized fifth (between the 7edo fifth and the 5edo fifth) of a fixed size. Most useful are di-meantone pentatonic and di-superpyth pentatonic. Equivalently, they are scales that have a maximaum of two sizes for intervals that are an even number of steps. Some dipentatonic scales are MOSes, such as the Erlich decatonic in [[22edo]]. Dipentatonic scales are useful because modulating by fifths is easy in them.		A '''dipentatonic scale''' is a 10-note scale where every other note gives an [[MOS]] pentatonic scale generated by a diatonic-sized fifth (between the 7edo fifth and the 5edo fifth) of a fixed size. Most useful are di-meantone pentatonic and di-superpyth pentatonic. Equivalently, they are scales that have a maximaum of two sizes for intervals that are an even number of steps. Some dipentatonic scales are MOSes, such as the Erlich decatonic in [[22edo]]. Dipentatonic scales are useful because modulating by fifths is easy in them.

	Dipentatonic scales can be classified by their fifth size and the separation between the two chains of fifths. 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.		Dipentatonic scales can be classified by their fifth size and the separation between the two chains of fifths. 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.