7-9-11-15 hexany
A 15-odd-limit Hexany. This creates a scale of 1 15/14 11/9 55/42 11/7 5/3 2/1, with steps of 15/14 154/135 15/14 6/5 35/33 6/5. With multiple 6/5's but no 3/2's or 5'4's, this does not contain any familiar chords, but this does leave an obvious way to expand it out into a bihexany without creating any repeated notes.

! 7-9-11-15_Hexany.scl ! 7 9 11 15 2-combination Hexany 6 ! 119.442 347.407 466.850 782.492 884.358 1200
Suggested keyboard mapping: C Db Eb F G# A C.