Topic: Scala files for the seven strictly proper 7-note 19-et scales

7 scales

Thread (1 messages)

From: Gene Ward Smith (2006-05-26)
Subject: Scala files for the seven strictly proper 7-note 19-et scales

Balzano makes a big deal out of how using 12-et in connection with
scale theory ideas such as strict propriety = coherence gives the
pentatonic and diatonic scales, but I think 19 does a much better job.
For one thing, there aren't any coherent 7-note scales in 12-et, so
his whole analysis falls apart, due to the "unique badness" property
of 12-et. 

Using 19, we get the major diatonic scale, the "melodic minor" scale,
the "harmonic minor" scale, the inverse harmonic minor = "harmonic
major scale, a 3/19 MOS, and two funny scales. Hence, the whole of
diatonic scale theory is practically falling in our lap here, which it
most certainly does not do in 12-et. 19 would appear to be a much
better starting point for a lot of common practice scale stuff than 12.

I think I'll start an archive of these things, but here they are:

! prop19_7a.scl
Diatonic major
7
!
189.473684
378.947368
505.263158
694.736842
884.210526
1073.684211
1200.000000

! prop19_7b.scl
Harmonic minor
7
!
189.473684
315.789474
505.263158
694.736842
821.052632
1073.684211
1200.000000

! prop19_7c.scl
Harmonic major (inverse harmonic minor)
7
!
189.473684
378.947368
505.263158
694.736842
821.052632
1073.684211
1200.000000

! prop19_7d.scl
Melodic minor
7
!
189.473684
315.789474
505.263158
694.736842
884.210526
1073.684211
1200.000000

! prop19_7e.scl
3/19 MOS
7
!
189.473684
252.631579
442.105263
631.578947
821.052632
1010.526316
1200.000000

! prop19_7f.scl
Sixth 7-note 19-et strictly proper scale
7
!
189.473684
378.947368
568.421053
694.736842
821.052632
1010.526316
1200.000000

! prop19_g.scl
Seventh 7-note 19-et strictly proper scale
7
!
126.315789
378.947368
442.105263
694.736842
821.052632
1010.526316
1200.000000