prop19_7a
Diatonic major
Properties
| Notes | 7 |
|---|
| Period | 1200.0 ¢ |
|---|
| Just | No |
|---|
| Source |
Mailing lists
|
|---|
| Reference | https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_14878.html#14878 |
|---|
| Thread | 7 scales |
|---|
| Tone (¢) |
Step (¢) |
| 189 |
189 |
| 379 |
189 |
| 505 |
126 |
| 695 |
189 |
| 884 |
189 |
| 1074 |
189 |
| 1200 |
126 |
Similar scales
Parent scales
Child scales
Mailing list post
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
Full 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
Raw file
! prop19_7a.scl
Diatonic major
7
!
189.473684
378.947368
505.263158
694.736842
884.210526
1073.684211
1200.000000
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_14878.html#14878
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_12430-15927.json
! topic_id = 14878
! msg_id = 14878