prop19_7e

3/19 MOS

Open in Scale Workshop Scala analysis Download scl

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
253	63
442	189
632	189
821	189
1011	189
1200	189

Similar scales

File	Notes	Rotation	Max diff (¢)
xen10-chalmers-tritriadic-7-9-25	7	0	13.7
xen12-chalmers-tritriadic-dm-9-25-7	7	4	13.7
xen18-erlich-luna-07	7	2	18.6
xen09-chalmers-tritriadic-10-13-18	7	0	19.2
xen09-chalmers-tritriadic-9-13-10	7	1	19.2
xen12-chalmers-tritriadic-dm-13-9-5	7	4	19.2
xen09-chalmers-tritriadic-5-7-9	7	3	21.2
xen12-chalmers-tritriadic-dm-7-9-5	7	0	21.2
xen09-chalmers-tritriadic-9-7-10	7	4	21.2

Parent scales

File	Notes	Max diff (¢)
edo-19	19	0.0
xen12-hanson-11-chain-19	19	0.0
xen07-chalmers-19-equal	19	0.0
rat-19et	19	0.4
chain_of_minor_thirds	19	1.3
rat19	19	1.4
slen19	19	3.1
xen18-erlich-negripent-19	19	3.2
xen18-erlich-liese-17	17	6.1
circ19	19	5.4

Child scales

File	Notes	Max diff (¢)
met24-quasi_6-EDO	6	20.6
quasi_6-EDO	6	21.5

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_7e.scl
3/19 MOS
7
!
189.473684
252.631579
442.105263
631.578947
821.052632
1010.526316
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