1-3-7-11-13 dekany

A 13-odd-limit dekany. This creates a scale of 1 13/12 7/6 11/8 143/96 77/48 13/8 7/4 11/6 91/48 2/1, with steps of 13/12 14/13 33/28 13/12 14/13 78/77 14/13 22/21 91/88 96/91. This does have 3 perfect 5ths plus a fourth mildly flat one above the root, but is otherwise quite xenharmonic, with both a large gap covering a quarter of the scale and a tiny step that blurs into the adjacent one, making it quite challenging to compose with.

Circle diagram.

! 1-3-7-11-13_Dekany.scl
!
1 3 7 11 13 2-combination Dekany
10
!
138.572
266.871
551.317
689.890
818.188
840.527
968.825
1049.362
1107.398
1200

Suggested keyboard mapping: Start on C, skipping the Eb and E notes, which does unfortunately still map some intervals more than 100 cents away from 12edo.