ch9_1

Four tetrads one <9 14 21 26| permutation epimorphic

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	9
Period	1200.0 ¢
Just	7-limit
Source	Mailing lists
Reference	https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_11446.html#11446
Thread	6 scales

Tone	Tone (¢)	Step	Step (¢)
21/20	84	21/20	84
6/5	316	8/7	231
5/4	386	25/24	71
21/16	471	21/20	84
3/2	702	8/7	231
12/7	933	8/7	231
7/4	969	49/48	36
9/5	1018	36/35	49
2	1200	10/9	182

Parent scales

File	Notes	Max diff (¢)
modmos13a	13	1.5
smalldi19c	19	0.0
byzantine	23	0.0
perz	27	0.0
notchedcube	28	0.0
cpak31	31	0.0
qx1	31	0.2
smalldiglum19	19	7.6
mircube	31	3.9
sk13	41	0.0

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_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
!
! 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