3-9-11-13-15 dekany

Circle diagram.

Circle diagram. (rotated)

A 15-odd-limit dekany. This creates a scale of 1 13/12 11/9 5/4 143/108 13/9 55/36 5/3 65/36 11/6 2/1, with steps of 13/12 44/39 45/44 143/135 14/13 55/52 12/11 13/12 66/65 12/11. This has three notes with perfect fifths above them, each with a 5-limit major or minor third as well, plus imperfect fifths both above and below the root note, giving it plenty of interesting consonances both familiar and xenharmonic, although it does have more tiny steps than is optimal for a scale of this size.

! 3-9-11-13-15_Dekany.scl
!
3 9 11 13 15 2-combination Dekany
10
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138.572
347.407
386.313
485.980
636.617
733.721
884.358
1022.931
1049.362
1200

Suggested keyboard mapping: Start on C, Skipping the D & Ab notes.