ch9_6

Four tetrads six

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 (¢)
7/6	267	7/6	267
5/4	386	15/14	119
4/3	498	16/15	112
7/5	583	21/20	84
10/7	617	50/49	35
3/2	702	21/20	84
5/3	884	10/9	182
7/4	969	21/20	84
2	1200	8/7	231

Parent scales

File	Notes	Max diff (¢)
max4	12	0.0
max5	12	0.0
xen12-wilson-06d-diamond	13	0.0
hahn15	15	0.0
diaclose	17	0.0
diaconv2401	17	0.0
diab17ascl	17	0.7
steldia	18	0.0
cpak19a	19	0.0
cpak19b	19	0.0

Child scales

File	Notes	Max diff (¢)
raven-JI	7	0.0
xen03-wilson-acute-05	5	0.0
xen07-harrison-thoughts-5	5	0.0
met24-quasi_5-EDO_F	5	2.3
xen18-erlich-semaphore-05	5	17.6
CD17_13_Tunisia	6	18.1
xen15-chalmers-triadic-reversed-diamond-15-13	7	19.1
neutr_pent2	5	19.1
CD07_02_Egypt	5	19.9
Vietnam_Vong_Co	5	21.0

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_6.scl
Four tetrads six
9
!
7/6
5/4
4/3
7/5
10/7
3/2
5/3
7/4
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