ch9_3

Four tetrads three

Open in Scale Workshop Scala analysis Download scl

Properties

Notes9
Period1200.0 ¢
Just7-limit
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_11446.html#11446
Thread6 scales
Tone Tone (¢) Step Step (¢)
15/14 119 15/14 119
35/32 155 49/48 36
5/4 386 8/7 231
35/24 653 7/6 267
3/2 702 36/35 49
25/16 773 25/24 71
7/4 969 28/25 196
15/8 1088 15/14 119
2 1200 16/15 112

Parent scales

FileNotesMax diff (¢)
cpak22 22 0.0
breetet3 25 0.0
notchedcube 28 0.0
steldek1 30 0.0
keenan5 22 5.4
xen18-erlich-orson-22 22 5.8
xen18-erlich-orwell-22 22 5.9
top-orwell-22 22 5.9
quasic22 22 7.7
xen12-wilson-31-pentadic-diamond 21 9.9

Child scales

FileNotesMax diff (¢)
keen6 5 3.0
Mailing list post 
From: Gene Ward Smith (2004-08-30)
Subject: Four tetrads, nine notes

I went looking for scales containing four tetrads in the -1 to 1 chord
cube, one of which was [0,0,0]. I found six such scales, the first two
of which are permuation epimorphic, which I give below. I also found
six ten-note, four tetrad scales which are strictly epimorphic.

! ch9_1.scl
Four tetrads one <9 14 21 26| permutation epimorphic
9
!
21/20
6/5
5/4
21/16
3/2
12/7
7/4
9/5
2

! ch9_2.scl
Four tetrads two <9 14 21 26| permutation epimorphic
9
!
21/20
35/32
5/4
21/16
35/24
3/2
49/32
7/4
2

! ch9_3.scl
Four tetrads three
9
!
15/14
35/32
5/4
35/24
3/2
25/16
7/4
15/8
2

! ch9_4.scl
Four tetrads four
9
!
49/48
35/32
7/6
5/4
7/5
35/24
3/2
7/4
2

! ch9_5.scl
Four tetrads five
9
!
21/20
7/6
49/40
5/4
21/16
7/5
3/2
7/4
2

! ch9_6.scl
Four tetrads six
9
!
7/6
5/4
4/3
7/5
10/7
3/2
5/3
7/4
2
Full thread (1 messages) 
From: Gene Ward Smith (2004-08-30)
Subject: Four tetrads, nine notes

I went looking for scales containing four tetrads in the -1 to 1 chord
cube, one of which was [0,0,0]. I found six such scales, the first two
of which are permuation epimorphic, which I give below. I also found
six ten-note, four tetrad scales which are strictly epimorphic.

! ch9_1.scl
Four tetrads one <9 14 21 26| permutation epimorphic
9
!
21/20
6/5
5/4
21/16
3/2
12/7
7/4
9/5
2

! ch9_2.scl
Four tetrads two <9 14 21 26| permutation epimorphic
9
!
21/20
35/32
5/4
21/16
35/24
3/2
49/32
7/4
2

! ch9_3.scl
Four tetrads three
9
!
15/14
35/32
5/4
35/24
3/2
25/16
7/4
15/8
2

! ch9_4.scl
Four tetrads four
9
!
49/48
35/32
7/6
5/4
7/5
35/24
3/2
7/4
2

! ch9_5.scl
Four tetrads five
9
!
21/20
7/6
49/40
5/4
21/16
7/5
3/2
7/4
2

! ch9_6.scl
Four tetrads six
9
!
7/6
5/4
4/3
7/5
10/7
3/2
5/3
7/4
2

Raw file

! ch9_3.scl
Four tetrads three
9
!
15/14
35/32
5/4
35/24
3/2
25/16
7/4
15/8
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_11446.html#11446
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_9945-12429.json
! topic_id = 11446
! msg_id = 11446