1-3-5-9 by 17/12 bihexany: Difference between revisions
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[[File:1-3-5-9_by_17-12_Bihexany.png|thumb|Circle diagram.]] A [[17-limit]] [[Bihexany]]. This creates a scale of 1 17/16 9/8 85/72 5/4 85/64 17/12 3/2 51/32 5/3 85/48 15/8 2/1, with steps of 17/16 18/17 85/81 18/17 17/16 16/15 18/17 17/16 160/153 17/16 18/17 16/15. This is another way to turn the near-diatonic scale of the [[1-3-5-9_hexany|base hexany | [[File:1-3-5-9_by_17-12_Bihexany.png|thumb|Circle diagram.]] A [[17-limit]] [[Bihexany]]. This creates a scale of 1 17/16 9/8 85/72 5/4 85/64 17/12 3/2 51/32 5/3 85/48 15/8 2/1, with steps of 17/16 18/17 85/81 18/17 17/16 16/15 18/17 17/16 160/153 17/16 18/17 16/15. This is another way to turn the near-diatonic scale of the [[1-3-5-9_hexany|base hexany]] into a 12 note scale that maps unambiguously to a standard keyboard with many simple consonant chords. It has 8 perfect fifths, 2 which are flat by a [[syntonic comma]], 1 which is sharp by [[256/255]] and one which is sharp by [[136/135]]. | ||
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Latest revision as of 19:37, 30 October 2025
A 17-limit Bihexany. This creates a scale of 1 17/16 9/8 85/72 5/4 85/64 17/12 3/2 51/32 5/3 85/48 15/8 2/1, with steps of 17/16 18/17 85/81 18/17 17/16 16/15 18/17 17/16 160/153 17/16 18/17 16/15. This is another way to turn the near-diatonic scale of the base hexany into a 12 note scale that maps unambiguously to a standard keyboard with many simple consonant chords. It has 8 perfect fifths, 2 which are flat by a syntonic comma, 1 which is sharp by 256/255 and one which is sharp by 136/135.
! 1-3-5-9_Hexany.scl ! 1 3 5 9 2-combination Hexany 12 ! 104.955 203.910 287.359 386.313 491.269 603.000 701.955 806.910 884.358 989.314 1088.268 1200