1-5-7-9-15 dekany

Circle diagram.

Circle diagram. (rotated)

A 15-odd-limit dekany. This creates a scale of 1 9/8 21/16 7/5 3/2 63/40 27/16 7/4 9/5 15/8 2/1, with steps of 9/8 7/6 16/15 15/14 21/20 15/14 28/27 36/35 25/24 16/15. This adds a number of simple septimal options to the basic 5-limit chords of the 1-5-9-15 hexany, making more of the notes functional as the roots for full chords, although the size of the largest step is still quite distinct from all the others. It has 4 perfect fifths, plus an additional one that is flat by a marvel comma and still quite usable as a regular fifth, although the unevenness of the scale means not all of them can be mapped to 7 steps above their roots on a standard keyboard.

! 1-5-7-9-15_Dekany.scl
!
1 5 7 9 15 2-combination Dekany
10
!
203.910
470.781
582.512
701.955
786.422
905.865
968.825
1017.596
1088.268
1200

Suggested keyboard mapping: Start on C, skipping the C# and Eb notes.