Platonic

The platonic scale pattern is a 17-note ternary pattern that can be made by expanding the pajara[10] scale so that 64/63~50/49 is the smallest step size instead of being tempered out. This makes it notable in aberrismic theory. It can be notated as 2L8m7s. The pattern can be found in edos such as 29, 31, and 41.

Example scale

The following is an example of a platonic scale with a step ordering of msmLsmsmsmmsLsmms.

! platonic.scl
!
Platonic Ternary Scale in 41edo
17
!
87.804878
117.073171
204.878049
351.219512
380.487805
468.292683
497.560976
585.365854
614.634146
702.439024
790.243902
819.512195
965.853659
995.121951
1082.926829
1170.731707
1200.