[tuning-math] Re: Four 10-note, 11-limit JI scales

  • From: Gene W Smith <genewardsmith@xxxxxxxx>
  • To: tuning-math@xxxxxxxxxxxxxxx
  • Date: Wed, 31 Jul 2002 09:01:18 -0700

We can warp in a bit of 11-limit harmony into these scales by means of
the 
{126/125, 441/440} planar temperament. Each scale now has 34 intervals
and 50 triads in the 11-limit (compare to Qm(3), with 35 intervals and 52
triads.)

! secad.scl
! [34, 51, 22, 29, 34, 22, 51, 34, 29, 22]
{126/125, 176/175} tempering of decad, 328-et version
10
!
124.3902439
310.9756098
391.4634146
497.5609756
621.9512195
702.4390244
889.0243902
1013.414634
1119.512195
2/1

! secab.scl
! [22, 29, 34, 51, 22, 34, 29, 22, 51, 34]
{126/125, 176/175} tempering of decab, 328-et version
10
!
80.48780488
186.5853659
310.9756098
497.5609756
578.0487805
702.4390244
808.5365854
889.0243902
1075.609756
2/1

! secac.scl
! [34, 29, 22, 51, 34, 22, 29, 34, 51, 22]
{126/125, 176/175} tempering of decac, 328-et version
10
!
124.3902439
230.4878049
310.9756098
497.5609756
621.9512195
702.4390244
808.5365854
932.9268293
1119.512195
2/1

! secad.scl
! [34, 51, 22, 29, 34, 22, 51, 34, 29, 22]
{126/125, 176/175} tempering of decad, 328-et version
10
!
124.3902439
310.9756098
391.4634146
497.5609756
621.9512195
702.4390244
889.0243902
1013.414634
1119.512195
2/1

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  • » [tuning-math] Re: Four 10-note, 11-limit JI scales