1-3-5-9 by 13/9 bihexany: Difference between revisions
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[[File:1-3-5-9_by_13-9_Bihexany.png|thumb|Circle diagram.]] A [[ | [[File:1-3-5-9_by_13-9_Bihexany.png|thumb|Circle diagram.]] A [[13-limit]] [[Bihexany]]. This creates a scale of 1 13/12 9/8 65/54 5/4 65/48 13/9 3/2 13/8 5/3 65/36 15/8 2/1, with steps of 13/12 27/26 260/243 27/26 13/12 16/15 27/26 13/12 40/39 13/12 27/26 16/15. Like any interval near 600 cents, this is a 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, although as this one is further out from a perfect tritone than [[1-3-5-9_by_17/12_bihexany|17/12]] or [[1-3-5-9_by_7/5_bihexany|7/5]], it does have more xenharmonic intervals in it. It has 8 perfect fifths, 2 which are flat by a [[syntonic comma]], one which is flat by [[65/64]] and 1 which is sharp by [[416/405]]. | ||
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Latest revision as of 09:08, 1 August 2026
A 13-limit Bihexany. This creates a scale of 1 13/12 9/8 65/54 5/4 65/48 13/9 3/2 13/8 5/3 65/36 15/8 2/1, with steps of 13/12 27/26 260/243 27/26 13/12 16/15 27/26 13/12 40/39 13/12 27/26 16/15. Like any interval near 600 cents, this is a 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, although as this one is further out from a perfect tritone than 17/12 or 7/5, it does have more xenharmonic intervals in it. It has 8 perfect fifths, 2 which are flat by a syntonic comma, one which is flat by 65/64 and 1 which is sharp by 416/405.
! 1-3-5-9_by_13/9_Bihexany.scl ! 1 3 5 9 by 13/9 2-combination Bihexany 12 ! 138.572 203.910 320.976 386.313 524.886 636.617 701.955 840.527 884.358 1022.931 1088.268 1200