3-5-7-13 hexany: Difference between revisions
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A [[13-odd-limit]] [[Hexany]] comprised entirely out of prime numbers. This creates a scale of 1 13/12 7/6 13/10 7/5 91/60 2/1, with steps of 13/12 14/13 39/35 14/13 13/12 120/91. All the steps are well over 100 cents, so they are all melodically distinct, but there is still one step of almost 500 cents, leaving a wide gap at one end of the scale. Despite this shortcoming, it does still have above average potential for producing good scales when expanded out to a dekany. | [[File:Hexany 3 5 7 13.png|thumb|Circle diagram (rotated).]] A [[13-odd-limit]] [[Hexany]] comprised entirely out of prime numbers. This creates a scale of 1 13/12 7/6 13/10 7/5 91/60 2/1, with steps of 13/12 14/13 39/35 14/13 13/12 120/91. All the steps are well over 100 cents, so they are all melodically distinct, but there is still one step of almost 500 cents, leaving a wide gap at one end of the scale. Despite this shortcoming, it does still have above average potential for producing good scales when expanded out to a dekany. | ||
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Latest revision as of 03:11, 5 October 2025
A 13-odd-limit Hexany comprised entirely out of prime numbers. This creates a scale of 1 13/12 7/6 13/10 7/5 91/60 2/1, with steps of 13/12 14/13 39/35 14/13 13/12 120/91. All the steps are well over 100 cents, so they are all melodically distinct, but there is still one step of almost 500 cents, leaving a wide gap at one end of the scale. Despite this shortcoming, it does still have above average potential for producing good scales when expanded out to a dekany.
! 3-5-7-13_Hexany.scl ! 3 5 7 13 2-combination Hexany 6 ! 13/12 7/6 13/10 7/5 91/60 2/1
Suggested keyboard mapping: C Db Eb E F# G C