1-15-45-75 stellated hexany: Difference between revisions

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Suggested keyboard mapping: C Eb E F# G Bb C.
Suggested keyboard mapping (rotated): C Db Eb E F# G Ab Bb C.





Revision as of 13:47, 19 February 2026

Circle diagram.
Circle diagram (rotated).

A quite complex 5-limit Hexany. This creates a scale of 1 1125/1024 75/64 675/512 45/32 50625/32768 3375/2048 15/8 2/1, with steps of 1125/1024 16/15 9/8 16/15 1125/1024 16/15 256/225 16/15. This breaks up the largest steps in the base hexany in quite an effective way, although it needs to be rotated to view the parallels clearly and use a more consonant mode. As it has 1 as a factor, it only has 8 notes, but all of them are both melodically and harmonically effective, making this quite a strong scale for its size.

! 1-15-45-75_Stellated_Hexany.scl
!
1 15 45 75 1-3-combination Hexany
8
!
162.851
274.582
478.492
590.223
753.074
864.806
1088.268
1200

Suggested keyboard mapping (rotated): C Db Eb E F# G Ab Bb C.