User:Xenllium/Xenllium's circulating scales

Below are listed circulating scales introduced by Xenllium.

Xentwelve

Xentwelve is a 12-tone circulating scale based on 12 equal temperament. In summary, it is close to 1/3-comma meantone in the natural keys and Pythagorean tuning in the remote keys. The generator is a perfect fifth, which comes in three sizes, with eight pure fifths (at C-G, C♯-G♯, E♭-B♭, E-B, F-C, F♯-C♯, B♭-F and B-F♯, frequency ratio 3/2), three 1/3-comma meantone fifths (at D-A, G-D and A-E, frequency ratio (10/3)^(1/3)), and one narrow schismic fifth (at G♯(A♭)-D♯(E♭), frequency ratio 16384/10935).

! xentwelve_a.scl
!
Xentwelve, Xenllium's 12-tone circulating scale, Central A
 12
!
 104.56252207087
 196.74123853187
 308.47252380165
 400.65124026264
 505.21376233352
 602.60752120549
 694.78623766648
 806.51752293626
 898.69623939726
 1010.42752466704
 1102.60624112803
 1200.