enn45ji

Detempered Ennealimma[45], Hahn reduced

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	45
Period	1200.0 ¢
Just	7-limit
Source	Mailing lists
Reference	https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_54901.html#54901
Thread	1 scale

Tone	Tone (¢)	Step	Step (¢)
49/48	36	49/48	36
36/35	49	1728/1715	13
21/20	84	49/48	36
200/189	98	4000/3969	13
27/25	133	5103/5000	35
54/49	168	50/49	35
10/9	182	245/243	14
245/216	218	49/48	36
8/7	231	1728/1715	13
7/6	267	49/48	36
25/21	302	50/49	35
6/5	316	126/125	14
49/40	351	49/48	36
216/175	364	1728/1715	13
63/50	400	49/48	36
9/7	435	50/49	35
35/27	449	245/243	14
250/189	484	50/49	35
4/3	498	126/125	14
49/36	534	49/48	36
25/18	569	50/49	35
7/5	583	126/125	14
10/7	617	50/49	35
36/25	631	126/125	14
72/49	666	50/49	35
3/2	702	49/48	36
189/125	716	126/125	14
54/35	751	50/49	35
14/9	765	245/243	14
100/63	800	50/49	35
175/108	836	49/48	36
49/30	849	126/125	14
5/3	884	50/49	35
42/25	898	126/125	14
12/7	933	50/49	35
7/4	969	49/48	36
432/245	982	1728/1715	13
9/5	1018	49/48	36
49/27	1032	245/243	14
50/27	1067	50/49	35
189/100	1102	5103/5000	35
40/21	1116	4000/3969	13
35/18	1151	49/48	36
49/25	1165	126/125	14
2	1200	50/49	35

Similar scales

File	Notes	Rotation	Max diff (¢)
ennea45	45	10	0.5
xen18-erlich-ennealimmal-45	45	15	0.5
enn45	45	41	0.7
edo-45	45	9	9.0
xen18-erlich-flattone-45	45	26	22.2

Parent scales

File	Notes	Max diff (¢)
ennea72	72	0.5
enn72	72	0.5
xen18-erlich-ennealimmal-72	72	0.5
xen18-erlich-miracle-72	72	2.4
edo-72	72	2.4
edo-57	57	7.6
hemienn82	72	4.3
wookie58	58	7.6
red72_11geo	72	4.5
octoid72	72	4.5

Child scales

File	Notes	Max diff (¢)
smalldi11	11	0.0
hjelmconv	10	0.0
semipor3	8	0.0
porchrome1	7	0.0
porchrome2	7	0.0
porchrome6	7	0.0
tritriad3d	7	0.0
xen09-chalmers-tritriadic-3-5-7	7	0.0
xen09-chalmers-tritriadic-5-6-7	7	0.0
xen10-chalmers-tritriadic-15-27-25	7	0.0

Mailing list post

From: Gene Ward Smith (2004-07-25)
Subject: JI and almost JI

Below I give a detempered version of Ennealimmal[45]. It has 11 major
JI tetrads and 12 minor JI tetrads, which clearly could be used for
JI. It also has 7 more major and 6 more minor tetrads less than a cent
away from being pure, which means it would be damned hard or
impossible when actually performing with this scale on non-fixed
intonation instruments to draw any distinction, and hard also when
listening to it. The natural use of it would certainly involve using
intervals which differ from a 7-limit consonance by 2401/2400 or
4375/4374, of which there are a good number. It also has 17 JI
supermajor tetrads and 14 JI subminor tetrads, and as well 10 and 13
respectively of nearly JI tetrads, to which the same comment applies;
as it does also to the 3 otonal and 5 utonal complete ninth chords, to
which we can add 6 and 4 further nearly JI versions. I suppose if you
prefer otonalities you might want to invert this scale, but it would
also be damned hard to tell any difference if you did.

Obviously this scale counts as JI; what I'm less clear on is if you'd
need to be careful about using the nearly JI chords in it to count as JI. 

! enn45ji.scl
Detempered Ennealimma[45], Hahn reduced
45
!
49/48
36/35
21/20
200/189
27/25
54/49
10/9
245/216
8/7
7/6
25/21
6/5
49/40
216/175
63/50
9/7
35/27
250/189
4/3
49/36
25/18
7/5
10/7
36/25
72/49
3/2
189/125
54/35
14/9
100/63
175/108
49/30
5/3
42/25
12/7
7/4
432/245
9/5
49/27
50/27
189/100
40/21
35/18
49/25
2

Full thread (1 messages)

From: Gene Ward Smith (2004-07-25)
Subject: JI and almost JI

Below I give a detempered version of Ennealimmal[45]. It has 11 major
JI tetrads and 12 minor JI tetrads, which clearly could be used for
JI. It also has 7 more major and 6 more minor tetrads less than a cent
away from being pure, which means it would be damned hard or
impossible when actually performing with this scale on non-fixed
intonation instruments to draw any distinction, and hard also when
listening to it. The natural use of it would certainly involve using
intervals which differ from a 7-limit consonance by 2401/2400 or
4375/4374, of which there are a good number. It also has 17 JI
supermajor tetrads and 14 JI subminor tetrads, and as well 10 and 13
respectively of nearly JI tetrads, to which the same comment applies;
as it does also to the 3 otonal and 5 utonal complete ninth chords, to
which we can add 6 and 4 further nearly JI versions. I suppose if you
prefer otonalities you might want to invert this scale, but it would
also be damned hard to tell any difference if you did.

Obviously this scale counts as JI; what I'm less clear on is if you'd
need to be careful about using the nearly JI chords in it to count as JI. 

! enn45ji.scl
Detempered Ennealimma[45], Hahn reduced
45
!
49/48
36/35
21/20
200/189
27/25
54/49
10/9
245/216
8/7
7/6
25/21
6/5
49/40
216/175
63/50
9/7
35/27
250/189
4/3
49/36
25/18
7/5
10/7
36/25
72/49
3/2
189/125
54/35
14/9
100/63
175/108
49/30
5/3
42/25
12/7
7/4
432/245
9/5
49/27
50/27
189/100
40/21
35/18
49/25
2

Raw file

! enn45ji.scl
Detempered Ennealimma[45], Hahn reduced
45
!
49/48
36/35
21/20
200/189
27/25
54/49
10/9
245/216
8/7
7/6
25/21
6/5
49/40
216/175
63/50
9/7
35/27
250/189
4/3
49/36
25/18
7/5
10/7
36/25
72/49
3/2
189/125
54/35
14/9
100/63
175/108
49/30
5/3
42/25
12/7
7/4
432/245
9/5
49/27
50/27
189/100
40/21
35/18
49/25
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_54901.html#54901
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_52482-55189.json
! topic_id = 54901
! msg_id = 54901