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.
! 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.