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 (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 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). | ||
Abstract dipentatonic scales can be classified 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. | |||
== Dipentatonic mosses == | == Dipentatonic mosses == | ||
== Dipentatonic abstract rank-3 scale patterns == | == Dipentatonic abstract rank-3 scale patterns == | ||