Bipentatonic scale: Difference between revisions

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The following are, up to modal rotation, a complete list of 27edo dipentatonic scales with no step of size 1\27. (I'm excluding 1\27 because it's near maximum dissonance.) Similar scales are available in other edos that support [http://x31eq.com/cgi-bin/rt.cgi?limit=2_3_5_7_13&ets=10_27&tuning=po this temperament], such as [[37edo]].

*~~0-3-5-9-11-14-16-19-22-25-27~~: separation by 14\27 (~13/9) (more 5-limit harmony, with one 4:5:6:9:13; no wolf fifths)

*3242323332: separation by 14\27 (~13/9) (more 5-limit harmony, with one 4:5:6:9:13; no wolf fifths)

*~~0-3-5-9-11-14-16-20-22-25-27~~: separation by 25\27 (~15/8) (more 5-limit harmony, with one 4:5:6:7:9:13; though there's a flat "wolf fifth" it doesn't occur as the same interval class as a regular fifth.)

*3242324232: separation by 25\27 (~15/8) (more 5-limit harmony, with one 4:5:6:7:9:13; though there's a flat "wolf fifth" it doesn't occur as the same interval class as a regular fifth.)

*~~0-3-5-8-11-14-16-19-22-24-27~~: separation by 19\27 (~13/8) (neutral thirds MOS)

*3233323323: separation by 19\27 (~13/8) (neutral thirds MOS)

*~~0-3-5-8-11-14-16-19-22-25-27~~: separation by 3\27 (~13/12) (neutral thirds MODMOS)

*3233323332: separation by 3\27 (~13/12) (neutral thirds MODMOS)

===29edo===

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 The following are, up to modal rotation, a complete list of 27edo dipentatonic scales with no step of size 1\27. (I'm excluding 1\27 because it's near maximum dissonance.) Similar scales are available in other edos that support [http://x31eq.com/cgi-bin/rt.cgi?limit=2_3_5_7_13&ets=10_27&tuning=po this temperament], such as [[37edo]].
-*0-3-5-9-11-14-16-19-22-25-27: separation by 14\27 (~13/9) (more 5-limit harmony, with one 4:5:6:9:13; no wolf fifths)
+*3242323332: separation by 14\27 (~13/9) (more 5-limit harmony, with one 4:5:6:9:13; no wolf fifths)
-*0-3-5-9-11-14-16-20-22-25-27: separation by 25\27 (~15/8) (more 5-limit harmony, with one 4:5:6:7:9:13; though there's a flat "wolf fifth" it doesn't occur as the same interval class as a regular fifth.)
+*3242324232: separation by 25\27 (~15/8) (more 5-limit harmony, with one 4:5:6:7:9:13; though there's a flat "wolf fifth" it doesn't occur as the same interval class as a regular fifth.)
-*0-3-5-8-11-14-16-19-22-24-27: separation by 19\27 (~13/8) (neutral thirds MOS)
+*3233323323: separation by 19\27 (~13/8) (neutral thirds MOS)
-*0-3-5-8-11-14-16-19-22-25-27: separation by 3\27 (~13/12) (neutral thirds MODMOS)
+*3233323332: separation by 3\27 (~13/12) (neutral thirds MODMOS)
 ===29edo===