1-3-9-135 by 57/34 bihexany
A 19-limit Hexany. This creates a scale of 1 135/128 9/8 2565/2176 171/136 23085/17408 45/32 3/2 405/256 57/34 7695/4352 513/272 2/1, with steps of 135/128 16/15 285/272 16/15 135/128 544/513 16/15 135/128 2432/2295 135/128 16/15 514/513. This may seem like some extremely complex ratios, but they actually produce a quite harmonious scale that is a detemper of 1/6-comma meantone by exploiting the aureusma to split the damage. 8 of the 5ths are perfect, every third 5th is approximately half a syntonic comma flat, and then there is one fifth that is approximately 10 cents sharp at the end of the chain. This results in 3rds and 7ths that are noticeably more consonant than 12edo, and even the imperfect 5ths are still well within the diatonic range & remain usable as such rather than being true wolves. That makes this an interesting well temperament that is not particularly xenharmonic, but still gives different keys different flavours and improves overall consonance throughout the scale.


! 1-3-9-135_by_57/34_Bihexany.scl ! 1 3 9 135 by 57/34 2-combination Bihexany 12 ! 92.178 203.910 284.736 396.467 488.646 590.223 701.955 794.133 894.512 986.691 1098.422 1200