1-5-9-13 hexany: Difference between revisions

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A [[13-odd-limit]] [[Hexany]] with equal distance between each of its numerators. This creates a scale of 1 9/8 13/10 117/80 13/8 9/5 2/1, with steps of 9/8 52/45 9/8 10/9 72/65 10/9. This is essentially a sharp-trending whole tone scale, with a ratio of approximately 10:7 between its largest and smallest steps. This makes it quite easy to create bihexanies with that do not have any intervals too small to be melodically useful.
[[File:Hexany 1 5 9 13.png|thumb|Circle diagram (rotated).]] A [[13-odd-limit]] [[Hexany]] with equal distance between each of its numerators. This creates a scale of 1 9/8 13/10 117/80 13/8 9/5 2/1, with steps of 9/8 52/45 9/8 10/9 72/65 10/9. This is essentially a sharp-trending whole tone scale, with a ratio of approximately 10:7 between its largest and smallest steps. This makes it quite easy to create bihexanies with that do not have any intervals too small to be melodically useful.


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Latest revision as of 03:06, 5 October 2025

Circle diagram (rotated).

A 13-odd-limit Hexany with equal distance between each of its numerators. This creates a scale of 1 9/8 13/10 117/80 13/8 9/5 2/1, with steps of 9/8 52/45 9/8 10/9 72/65 10/9. This is essentially a sharp-trending whole tone scale, with a ratio of approximately 10:7 between its largest and smallest steps. This makes it quite easy to create bihexanies with that do not have any intervals too small to be melodically useful.

! 1-5-9-13_Hexany.scl
!
1 5 9 13 2-combination Hexany
6
!
203.910
454.213
658.123
840.527
1017.596
1200

Suggested keyboard mapping: C D E F# G# A# C.