1-9-11-13 hexany: Difference between revisions
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A [[13-odd-limit]] [[Hexany]]. This creates a scale of 1 11/9 11/8 13/9 13/8 143/72 2/1, with steps of 11/9 9/8 104/99 9/8 11/9 144/143. With a ratio of nearly 29:1 between the largest and smallest steps, making the smallest one barely in the noticeable range, this works better as a pentatonic scale than a hexatonic one. On the plus side, combining the two neutral thirds and the comma step results in a 5th of 706.88 cents, which is still close enough to just to provide a stable rooting point. | [[File:Hexany 1 9 11 13.png|thumb|Circle diagram (rotated).]] [[File:Hexany 1 9 11 13 cents.png|thumb|Circle diagram (rotated).]] A [[13-odd-limit]] [[Hexany]]. This creates a scale of 1 11/9 11/8 13/9 13/8 143/72 2/1, with steps of 11/9 9/8 104/99 9/8 11/9 144/143. With a ratio of nearly 29:1 between the largest and smallest steps, making the smallest one barely in the noticeable range, this works better as a pentatonic scale than a hexatonic one. On the plus side, combining the two neutral thirds and the comma step results in a 5th of 706.88 cents, which is still close enough to just to provide a stable rooting point. | ||
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Revision as of 03:08, 5 October 2025
A 13-odd-limit Hexany. This creates a scale of 1 11/9 11/8 13/9 13/8 143/72 2/1, with steps of 11/9 9/8 104/99 9/8 11/9 144/143. With a ratio of nearly 29:1 between the largest and smallest steps, making the smallest one barely in the noticeable range, this works better as a pentatonic scale than a hexatonic one. On the plus side, combining the two neutral thirds and the comma step results in a 5th of 706.88 cents, which is still close enough to just to provide a stable rooting point.
! 1-9-11-13_Hexany.scl ! 1 9 11 13 2-combination Hexany 6 ! 347.407 551.317 636.617 840.527 1187.935 1200
Suggested keyboard mapping: C Eb F F# G# B C.