1-9-11-17 by 24/17 bihexany: Difference between revisions
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[[File:1-9-11-17_by_24-17_bihexany.png|thumb|Circle diagram.]] A [[17-limit]] [[bihexany]]. This creates a scale of 1 17/16 11/9 187/144 4/3 11/8 24/17 3/2 88/51 11/6 17/9 33/17 2/1, with steps of 17/16 176/153 17/16 192/187 33/32 192/187 17/16 176/153 17/16 34/33 297/289 34/33. This expands the [[1-9-11-17_hexany|base hexany]] out in a way that maximises its melodic utility, | [[File:1-9-11-17_by_24-17_bihexany.png|thumb|Circle diagram.]] A [[17-limit]] [[bihexany]]. This creates a scale of 1 17/16 11/9 187/144 4/3 11/8 24/17 3/2 88/51 11/6 17/9 33/17 2/1, with steps of 17/16 176/153 17/16 192/187 33/32 192/187 17/16 176/153 17/16 34/33 297/289 34/33. This expands the [[1-9-11-17_hexany|base hexany]] out in a way that maximises its melodic utility, while also being fairly decent harmonically as well, with 4 perfect fifths and another 4 that are out by [[289/288]], giving you a decent number of places to build stable chords even if there are no simple 5-limit ones. | ||
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Latest revision as of 10:11, 30 October 2026
A 17-limit bihexany. This creates a scale of 1 17/16 11/9 187/144 4/3 11/8 24/17 3/2 88/51 11/6 17/9 33/17 2/1, with steps of 17/16 176/153 17/16 192/187 33/32 192/187 17/16 176/153 17/16 34/33 297/289 34/33. This expands the base hexany out in a way that maximises its melodic utility, while also being fairly decent harmonically as well, with 4 perfect fifths and another 4 that are out by 289/288, giving you a decent number of places to build stable chords even if there are no simple 5-limit ones.
! 1-9-11-17_by_24/17_Bihexany.scl ! 1 9 11 17 by 24/17 2-combination Bihexany 12 ! 104.955 347.407 452.363 498.044 551.317 596.999 701.995 944.407 1049.362 1101.045 1148.317 1200