1-3-9-11-15 dekany

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Circle diagram.

A 15-odd-limit dekany. This creates a scale of 1 33/32 9/8 5/4 11/8 45/32 3/2 55/32 11/6 15/8 2/1, with steps of 33/32 12/11 10/9 11/10 45/44 16/15 55/48 16/15 45/44 16/15. This combines a near complete diatonic scale with several obviously xenharmonic notes that fall right between the cracks of the 12edo keyboard, giving it a strong mix of familiar and alien sounds that make it easy to compose with.

! 1-3-9-11-15_Dekany.scl
!
1 3 9 11 15 2-combination Dekany
10
!
53.272
203.910
386.313
551.317
590.223
701.955
937.631
1049.362
1088.268
1200

Suggested keyboard mapping: Start on F, skipping the Gb and Db notes, which puts the 5-limit notes on the white keys and the 11-limit ones on the black keys, with the exception of 55/32, which is not so precisely a quartertone out as the others.