3-5-13-15 hexany
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A 13-limit Hexany. This creates a scale of 1 13/12 5/4 13/10 3/2 13/8 2/1, with steps of 13/12 15/13 26/25 15/13 13/12 16/13. Like its septimal and undecimal neighbours, this uses the simplest possible tridecimal harmonies to create a scale that is highly concordant but also obviously xenharmonic, making it an ideal tool for teaching the basics of just intonation without overwhelming people with too many options, with every step remaining distinct even to untrained ears even though one is noticeably smaller than a 12edo semitone.
! 3-5-13-15_Hexany.scl ! 3 5 13 15 2-combination Hexany 6 ! 138.572 386.313 454.213 701.955 840.572 1200
Suggested keyboard mapping: C Db E F G Ab C