3-7-13-15 hexany
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A 13-limit Hexany. This creates a scale of 1 15/14 13/12 65/56 5/4 13/7 2/1, with steps of 15/14 91/90 15/14 14/13 52/35 14/13. This is a very incomplete detemper of negri temperament, a chain of 13/12's, 14/13/s and 15/14/s that doesn't even reach halfway around the octave, while distinguishing a couple of notes that are conflated in the linear temperament by the tempering out of 91/90. There are still some consonant chords to be found here, but it needs expanding out to a dekany or bihexany to fill in the gap and make compositions possible that are not extremely limited in range, as the following examples demonstrate.
! 3-7-13-15_Hexany.scl ! 3 7 13 15 2-combination Hexany 6 ! 119.442 138.572 258.015 386.313 1071.701 1200
Suggested keyboard mapping: C Db D Eb E B C