cx3

Third 10/4 scale <10 16 23 28| epimorphic

Open in Scale Workshop Scala analysis Download scl

Properties

Notes10
Period1200.0 ¢
Just7-limit
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_11450.html#11450
Thread4 scales
Tone Tone (¢) Step Step (¢)
21/20 84 21/20 84
9/8 204 15/14 119
5/4 386 10/9 182
21/16 471 21/20 84
10/7 617 160/147 147
3/2 702 21/20 84
5/3 884 10/9 182
7/4 969 21/20 84
15/8 1088 15/14 119
2 1200 16/15 112

Similar scales

FileNotesRotationMax diff (¢)
jubilee10asym2 10 0 18.5
erb10 10 7 23.9
xen17-erlich-alternate-pentachordal-minor 10 2 24.6
xen17-erlich-standard-pentachordal-major 10 0 24.6
xen17-erlich-alternate-pentachordal-major 10 5 24.6
xen17-erlich-standard-pentachordal-minor 10 7 24.6

Parent scales

FileNotesMax diff (¢)
starra 12 5.6
cpak19a 19 0.0
cpak19b 19 0.0
perz 27 0.0
notchedcube 28 0.0
16-miracle-oct 21 4.9
choraled_scale 26 2.0
cpak31 31 0.0
octasquare25 25 4.5
xen07-chalmers-fifth-comma 19 8.6

Child scales

FileNotesMax diff (¢)
xen12-wilson-39-4C2-hexany-01 6 0.0
ninelim 5 0.0
CD15_15_Morocco 5 13.6
Cambodia_Pentatonic_02 5 13.9
Indonesia_Lipurtambaneng 5 14.8
China_Sien_tsu 5 14.9
Greece_Third 6 18.2
CD10_12_Egypt 5 18.5
Solomon_Islands_Xylophone_05 5 18.6
xen18-erlich-superpyth-05 5 18.6
Mailing list post 
From: Gene Ward Smith (2004-08-30)
Subject: Five ten-note, four tetrad epimorphic scales

I thought there were six, but my list had a duplicate. The first is
known to Scala as erlich11, "Canonical JI interpretation of the
Symmetrical decatonic mode of 22-tET". 

! cx1.scl
First 10/4 scale = erlich11 <10 16 23 28| epimorphic
10
!
15/14
7/6
5/4
4/3
10/7
3/2
5/3
7/4
15/8
2

! cx2.scl
Second 10/4 scale <10 16 23 28| epimorphic
10
!
15/14
7/6
5/4
4/3
7/5
3/2
5/3
7/4
15/8
2

! cx3.scl
Third 10/4 scale <10 16 23 28| epimorphic
10
!
21/20
9/8
5/4
21/16
10/7
3/2
5/3
7/4
15/8
2

! cx4.scl
Fourth 10/4 scale <10 16 23 28| epimorphic
10
!
35/32
9/8
5/4
21/16
35/24
3/2
105/64
7/4
15/8
2

! cx5.scl
Fifth 10/4 scale <10 17 24 29| epimorphic
10
!
49/48
7/6
6/5
5/4
7/5
35/24
3/2
12/7
7/4
2
Full thread (2 messages) 
From: Gene Ward Smith (2004-08-30)
Subject: Five ten-note, four tetrad epimorphic scales

I thought there were six, but my list had a duplicate. The first is
known to Scala as erlich11, "Canonical JI interpretation of the
Symmetrical decatonic mode of 22-tET". 

! cx1.scl
First 10/4 scale = erlich11 <10 16 23 28| epimorphic
10
!
15/14
7/6
5/4
4/3
10/7
3/2
5/3
7/4
15/8
2

! cx2.scl
Second 10/4 scale <10 16 23 28| epimorphic
10
!
15/14
7/6
5/4
4/3
7/5
3/2
5/3
7/4
15/8
2

! cx3.scl
Third 10/4 scale <10 16 23 28| epimorphic
10
!
21/20
9/8
5/4
21/16
10/7
3/2
5/3
7/4
15/8
2

! cx4.scl
Fourth 10/4 scale <10 16 23 28| epimorphic
10
!
35/32
9/8
5/4
21/16
35/24
3/2
105/64
7/4
15/8
2

! cx5.scl
Fifth 10/4 scale <10 17 24 29| epimorphic
10
!
49/48
7/6
6/5
5/4
7/5
35/24
3/2
12/7
7/4
2
From: Carl Lumma (2004-08-30)
Subject: Re: [tuning-math] Five ten-note, four tetrad epimorphic scales

>! cx1.scl
>First 10/4 scale = erlich11 <10 16 23 28| epimorphic
>10
>!
>15/14
>7/6
>5/4
>4/3
>10/7
>3/2
>5/3
>7/4
>15/8
>2
>
>! cx2.scl
>Second 10/4 scale <10 16 23 28| epimorphic
>10
>!
>15/14
>7/6
>5/4
>4/3
>7/5
>3/2
>5/3
>7/4
>15/8
>2
>
>! cx3.scl
>Third 10/4 scale <10 16 23 28| epimorphic
>10
>!
>21/20
>9/8
>5/4
>21/16
>10/7
>3/2
>5/3
>7/4
>15/8
>2
>
>! cx4.scl
>Fourth 10/4 scale <10 16 23 28| epimorphic
>10
>!
>35/32
>9/8
>5/4
>21/16
>35/24
>3/2
>105/64
>7/4
>15/8
>2
>
>! cx5.scl
>Fifth 10/4 scale <10 17 24 29| epimorphic
>10
>!
>49/48
>7/6
>6/5
>5/4
>7/5
>35/24
>3/2
>12/7
>7/4
>2

I'd guess that these are all equivalent under pajara.

-Carl

Raw file

! cx3.scl
Third 10/4 scale <10 16 23 28| epimorphic
10
!
21/20
9/8
5/4
21/16
10/7
3/2
5/3
7/4
15/8
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_11450.html#11450
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_9945-12429.json
! topic_id = 11450
! msg_id = 11450