3-5-11-13 by 96/65 bihexany

A 13-limit Bihexany. This creates a scale of 1 13/12 11/10 143/120 13/10 88/65 96/65 8/5 528/325 44/25 11/6 48/25 2/1, with steps of 13/12 66/65 13/12 12/11 176/169 12/11 13/12 66/65 13/12 25/24 288/275 25/24. Since the base hexany approximates half of 8edo excellently, this degree of offset is ideal for turning it into a 10 out of 16 note detemper of 16edo without increasing the prime limit, which also maximises the melodic utility of the scale. It contains detempered versions of both the 7 and 9 note mavila mos scales, which means it can play most music composed in that temperament and it will remain recognisable, with less worry about wolf notes than the hexanies that detemper meantone because mavila is already more noticeably out of tune and at least this way all the intervals map precisely to more complex consonances.

Circle diagram.

! 3-5-11-13_by_96/65_Bihexany.scl
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3 5 11 13 by 96/65 2-combination Bihexany
12
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138.572
165.004
303.576
454.213
524.476
675.113
813.686
840.117
978.690
1049.362
1129.327
1200