1-3-13-15 stellated hexany
A 15-odd-limit stellated Hexany. This creates a scale of 1 585/512 39/32 45/32 3/2 195/128 13/8 15/8 2/1, with steps of 585/512 16/15 15/13 16/15 65/64 16/15 15/13 16/15. This only adds two notes to the base hexany, but they are quite well-positioned ones that fill in the massive gap and increase the number of perfect fifths from 2 to 4, although there are still no simple 5-limit chords, which means you need to get to grips with neutral and barbados harmony to get the most out of this.

! 1-3-13-15_Stellated_Hexany.scl ! 1 3 13 15 1-3-combination Hexany 8 ! 230.751 342.482 590.223 701.955 728.796 840.527 1088.268 1200
Suggested keyboard mapping: C D Eb F# G Ab A B C.