1-3-9-15 stellated hexany
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A 15-odd-limit stellated Hexany. This creates a scale of 1 135/128 9/8 45/32 3/2 405/256 27/16 15/8 2/1, with steps of 135/128 16/15 5/4 16/15 135/128 16/15 10/9 16/15. This only adds two notes to the base hexany, which do increase the number of perfect fifths available to 6, but does not reduce the size of the largest step or give you a complete diatonic scale, instead adding extra notes on the opposite sides of the chains of fifths. This means this is not truly xenharmonic, as it can easily be replicated by a subset of 12edo, but it is still interesting in the same way that altered scales like melodic or hungarian minor are and quite consonant overall, as it evades the wolf fifth that is a problem in simple 5-limit diatonic scales.
! 1-3-9-15_Stellated_Hexany.scl ! 1 3 9 15 1-3-combination Hexany 8 ! 92.178 203.910 590.223 701.955 794.133 905.865 1088.268 1200
Suggested keyboard mapping: Bb B C E F F# G A Bb. This makes the scale symmetrical around the missing D note, making it relatively intuitive to play in.