1-3-5-9 by 64/45 bihexany
A 5-limit bihexany that is one of the simplest ways of detempering 12edo into a just intonation scale. This creates a scale of 1 16/15 9/8 32/27 5/4 4/3 64/45 3/2 8/5 5/3 16/9 15/8 2/1, with steps of 16/15 135/128 256/243 135/128 16/15 16/15 135/128 16/15 25/24 16/15 135/128 16/15. Initially, it might seem that using the inversion 45/32 as an offset interval would be simpler, and the two would ultimately create the same scale. However, this way around the ratios cancel out, making this mode more consonant overall. (The other way around would produce a most complex interval of 675/512.) The overall complexity of the ratios is still slightly greater than the 1-3-5-9 by 7/5 bihexany, but it makes up for this by having less severe wolf fifths, with 9 perfect ones, 2 flat by a syntonic comma and one sharp by a diaschisma.
! 1-3-5-9_by_64/45_Hexany.scl ! 1 3 5 9 by 64/45 2-combination Hexany 12 ! 111.731 203.910 294.134 386.313 498.044 609.776 701.955 813.686 884.358 996.089 1088.268