Compdye

The compdye scale pattern is a 24-note ternary pattern that can be made by taking a 12-note Pythagorean scale and cloning it with an offset of 81/80~64/63. It can be notated as 5L7m12s, and it is notable in aberrismic theory due to its relatively accurate tempering of the first 12 to 16 harmonics. In 11-limit pele temperament, the pattern contains the harmonic segment 1::12, and in 13-limit pentafrost temperament, it contains 1::16. 41edo is a good choice to tune compdye to, since it supports both pele and pentafrost, but it can also be found in other edos such as 46 and 58.

Example scale

The following is an example of a compdye scale with a step ordering of msLsmsmsLsmsLsmsmsLsmsLs.

! compdye.scl
!
Compdye Ternary Scale in 41edo
24
!
58.536585
87.804878
175.609756
204.878049
263.414634
292.682927
351.219512
380.487805
468.292683
497.560976
556.097561
585.365854
673.170732
702.439024
760.97561
790.243902
848.780488
878.04878
965.853659
995.121951
1053.658537
1082.926829
1170.731707
1200.