5-7-9-33 hexany: Difference between revisions
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An [[11-limit]] [[Hexany]]. This creates a scale of 1 297/280 33/28 9/7 33/20 9/5 2/1, with steps of 1 297/280 10/9 12/11 77/60 12/11 10/9. All the steps are distinct, but one of them (the 77/60) is more than twice as large as any of the others. Since the difference between two 9/7's and 33/20 is only [[540/539]], a 1 9/7 33/20 triad sounds equidistant in practice. | [[File:Hexany 5 7 9 33.png|thumb|Circle diagram.]] An [[11-limit]] [[Hexany]]. This creates a scale of 1 297/280 33/28 9/7 33/20 9/5 2/1, with steps of 1 297/280 10/9 12/11 77/60 12/11 10/9. All the steps are distinct, but one of them (the 77/60) is more than twice as large as any of the others. Since the difference between two 9/7's and 33/20 is only [[540/539]], a 1 9/7 33/20 triad sounds equidistant in practice. | ||
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Latest revision as of 04:53, 5 October 2025

An 11-limit Hexany. This creates a scale of 1 297/280 33/28 9/7 33/20 9/5 2/1, with steps of 1 297/280 10/9 12/11 77/60 12/11 10/9. All the steps are distinct, but one of them (the 77/60) is more than twice as large as any of the others. Since the difference between two 9/7's and 33/20 is only 540/539, a 1 9/7 33/20 triad sounds equidistant in practice.
! 5-7-9-33_Hexany.scl ! 5 7 9 33 2-combination Hexany 6 ! 297/280 33/28 9/7 33/20 9/5 2/1
Suggested keyboard mapping: C Db Eb E Ab Bb C