1-3-7-13 hexany: Difference between revisions

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A [[13-odd-limit]] [[Hexany]]. This creates a scale of 1 13/12 7/6 13/8 7/4 91/48 2/1, with steps of 13/12 14/13 39/28 14/13 13/12 96/91. Since the steps are all clustered on one side of the scale, with a nearly 600 cent gap between 7/6 and 13/8, this is a very xenharmonic scale that does not let you approximate common practice music.
[[File:Hexany 1 3 7 13.png|thumb|Circle diagram (rotated).]]  A [[13-odd-limit]] [[Hexany]]. This creates a scale of 1 13/12 7/6 13/8 7/4 91/48 2/1, with steps of 13/12 14/13 39/28 14/13 13/12 96/91. Since the steps are all clustered on one side of the scale, with a nearly 600 cent gap between 7/6 and 13/8, this is a very xenharmonic scale that does not let you approximate common practice music.


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Latest revision as of 02:55, 5 October 2025

Circle diagram (rotated).

A 13-odd-limit Hexany. This creates a scale of 1 13/12 7/6 13/8 7/4 91/48 2/1, with steps of 13/12 14/13 39/28 14/13 13/12 96/91. Since the steps are all clustered on one side of the scale, with a nearly 600 cent gap between 7/6 and 13/8, this is a very xenharmonic scale that does not let you approximate common practice music.

! 1-3-7-13_Hexany.scl
!
1 3 7 13 2-combination Hexany
6
!
13/12
7/6
13/8
7/4
91/48
2/1

Suggested keyboard mapping: C Db Eb G# A# B C

Music

Phexioenesystems