Re: [tuning-math] Four 10-note, 7-limit JI scales

  • From: Gene W Smith <genewardsmith@xxxxxxxx>
  • To: tuning-math@xxxxxxxxxxxxxxx
  • Date: Wed, 31 Jul 2002 08:38:24 -0700

These scales also work well with the {225/224, 441/440} temperament,
whose mean square optimal values are essentially those of the 72-et. I
give a 72-et version of the first scale below (33 intervals 44 triads);
the third and fourth are modes of the first and second, so the second is
just a mode of the inversion of the first scale. Qm(3) is not knocked off
its perch, but these are a nice suppliment.

! mecaa.scl
! [5, 11, 7, 7, 5, 7, 11, 5, 7, 7]
{225/224, 441/440} tempering of decad, 72-et version
10
!
83.33333333
266.6666667
383.3333333
500.0000000
583.3333333
700.0000000
883.3333333
966.6666667
1083.333333
2/1

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