Topic: Three {126/125, 176/175} planar temperament scales

3 scales

Thread (1 messages)

From: Gene W Smith (2002-07-30)
Subject: Three {126/125, 176/175} planar temperament scales

These two commas go well together, and one might consider the result an
11-limit extension of starling. I checked over 4000 scales to find the
three best with these particular steps:

49 intervals 83 triads

! starra.scl (inverse of starrb.scl)
! [22, 34, 29, 22, 22, 41, 22, 22, 29, 22, 34, 29]
12 note {126/125, 176/175} scale, 328-et version 
12
!
80.48780488
204.8780488
310.9756098
391.4634146
471.9512195
621.9512195
702.4390244
782.9268293
889.0243902
969.5121951
1093.902439
2/1

49 intervals 83 triads

! starrb.scl (inverse of starra.scl)
! [22, 22, 29, 34, 22, 29, 34, 22, 29, 22, 22, 41]
12 note {126/125, 176/175} scale, 328-et version 
12
!
80.48780488
160.9756098
267.0731707
391.4634146
471.9512195
578.0487805
702.4390244
782.9268293
889.0243902
969.5121951
1050.000000
2/1

49 intervals 82 triads

! starrc.scl 
! [22, 22, 41, 22, 22, 29, 34, 22, 29, 22, 34, 29]
12 note {126/125, 176/175} scale, 328-et version 
12
!
80.48780488
160.9756098
310.9756098
391.4634146
471.9512195
578.0487805
702.4390244
782.9268293
889.0243902
969.5121951
1093.902439
2/1