3-7-9-55 hexany: Difference between revisions
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An [[11-limit]] [[Hexany]]. This creates a scale of 1 55/48 9/7 165/112 3/2 55/28, with steps of 55/48 432/385 55/48 56/55 55/42 56/55. This is essentially a quartonic scale, with two of the notes having variants a sixth-tone apart, and produces complex beating patterns that are in audible range when the notes are low-pitched. Also of note is that 55/48 is only [[385/384]] away from 8/7, so the first three notes can be heard as 7/7 8/7 9/7, a fragment of the harmonic series. | [[File:Hexany 3 7 9 55.png|thumb|Circle diagram.]] An [[11-limit]] [[Hexany]]. This creates a scale of 1 55/48 9/7 165/112 3/2 55/28, with steps of 55/48 432/385 55/48 56/55 55/42 56/55. This is essentially a quartonic scale, with two of the notes having variants a sixth-tone apart, and produces complex beating patterns that are in audible range when the notes are low-pitched. Also of note is that 55/48 is only [[385/384]] away from 8/7, so the first three notes can be heard as 7/7 8/7 9/7, a fragment of the harmonic series. | ||
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Latest revision as of 04:52, 5 October 2025
An 11-limit Hexany. This creates a scale of 1 55/48 9/7 165/112 3/2 55/28, with steps of 55/48 432/385 55/48 56/55 55/42 56/55. This is essentially a quartonic scale, with two of the notes having variants a sixth-tone apart, and produces complex beating patterns that are in audible range when the notes are low-pitched. Also of note is that 55/48 is only 385/384 away from 8/7, so the first three notes can be heard as 7/7 8/7 9/7, a fragment of the harmonic series.
! 3-7-9-55_Hexany.scl ! 3 7 9 55 2-combination Hexany 6 ! 55/48 9/7 165/112 3/2 55/28 2/1
Suggested keyboard mapping: F G A B C E F