3-7-13-15 by 4/3 bihexany

A 13-limit bihexany. This creates a scale of 1 15/14 13/12 65/56 26/21 5/4 4/3 10/7 13/9 65/42 5/3 13/7 2/1, with steps of 15/14 91/90 15/14 16/15 105/104 16/15 15/14 91/90 15/14 14/13 39/35 14/13. Since 4 steps in negri reach 4/3, this is the natural choice to extend the base hexany out to a detemper of the augmented major mode of the 1L 8s negri scale, with three of the notes split into two notes a microtone apart, which gives you a rich selection of simple chords as long as you select the correct versions of the microtonal intervals to avoid the wolf notes. Using a 3/2 as the offset interval gives the same scale, but the Carolingan mode of it, which puts a 5/4 and 3/2 above the root but has slightly more complex intervals overall as they do not cancel as many factors.

Circle diagram.

Circle diagram.(rotated)

! 3-7-13-15_by_4/3_Bihexany.scl
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3 7 13 15 by 4/3 2-combination Hexany
12
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119.442
138.572
258.015
369.746
386.313
498.044
617.487
756.060
884.358
1071.701
1200