1-3-5-9 stellated hexany

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Circle diagram.

The second simplest possible stellated Hexany, comprised of sum products of 1 to 3 of the first four 5-limit odd numbers. This creates a scale of 1 135/128 9/8 5/4 45/32 3/2 27/16 15/8 2/1, with steps of 135/128 16/15 10/9 9/8 16/15 9/8 10/9 16/15. This is an unambiguous detemper of the lydian mode of the meantone diatonic scale with a single extra note added. It has 6 perfect fifths and one that is flat by a syntonic comma in the middle of the chain, which identifies it specifically as a detemper of quarter-comma meantone. This means it has many familiar and highly consonant chords, but also most of the same limitations as the standard diatonic scale. If you want to expand it to a 12 note scale, Septimal Canright contains all these notes and an additional four that neatly fill the gaps.

! 1-3-5-9_Stellated_Hexany.scl
!
1 3 5 9 1-3-combination Hexany
6
!
92.178
203.910
386.313
590.223
701.955
905.865
1088.268
1200

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