ennon43
Nonoctave Ennealimmal, [3, 5/3] just tuning
Properties
| Notes | 43 |
|---|
| Period | 1901.955001 ¢ |
|---|
| Just | 7-limit |
|---|
| Source |
Mailing lists
|
|---|
| Reference | https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10072.html#10072 |
|---|
| Thread | 4 scales |
|---|
| Tone |
Tone (¢) |
Step |
Step (¢) |
| 36/35 |
49 |
36/35 |
49 |
| 21/20 |
84 |
49/48 |
36 |
| 27/25 |
133 |
36/35 |
49 |
| 10/9 |
182 |
250/243 |
49 |
| 245/216 |
218 |
49/48 |
36 |
| 7/6 |
267 |
36/35 |
49 |
| 6/5 |
316 |
36/35 |
49 |
| 49/40 |
351 |
49/48 |
36 |
| 63/50 |
400 |
36/35 |
49 |
| 35/27 |
449 |
250/243 |
49 |
| 250/189 |
484 |
50/49 |
35 |
| 49/36 |
534 |
1029/1000 |
49 |
| 25/18 |
569 |
50/49 |
35 |
| 10/7 |
617 |
36/35 |
49 |
| 72/49 |
666 |
36/35 |
49 |
| 3/2 |
702 |
49/48 |
36 |
| 54/35 |
751 |
36/35 |
49 |
| 100/63 |
800 |
250/243 |
49 |
| 81/50 |
835 |
5103/5000 |
35 |
| 5/3 |
884 |
250/243 |
49 |
| 12/7 |
933 |
36/35 |
49 |
| 7/4 |
969 |
49/48 |
36 |
| 9/5 |
1018 |
36/35 |
49 |
| 50/27 |
1067 |
250/243 |
49 |
| 189/100 |
1102 |
5103/5000 |
35 |
| 35/18 |
1151 |
250/243 |
49 |
| 2 |
1200 |
36/35 |
49 |
| 49/24 |
1236 |
49/48 |
36 |
| 21/10 |
1284 |
36/35 |
49 |
| 54/25 |
1333 |
36/35 |
49 |
| 108/49 |
1368 |
50/49 |
35 |
| 245/108 |
1418 |
12005/11664 |
50 |
| 81/35 |
1453 |
8748/8575 |
35 |
| 50/21 |
1502 |
250/243 |
49 |
| 49/20 |
1551 |
1029/1000 |
49 |
| 5/2 |
1586 |
50/49 |
35 |
| 18/7 |
1635 |
36/35 |
49 |
| 500/189 |
1684 |
250/243 |
49 |
| 27/10 |
1720 |
5103/5000 |
35 |
| 25/9 |
1769 |
250/243 |
49 |
| 20/7 |
1817 |
36/35 |
49 |
| 35/12 |
1853 |
49/48 |
36 |
| 3 |
1902 |
36/35 |
49 |
Child scales
Mailing list post
From: Gene Ward Smith (2004-03-15)
Subject: Nonoctave ennealimmal
The 1 in the wedgie for ennealimmal (<18 27 18 1 -22 -34|) caught my
eye, and it occurred to me that a generator of 5/3 and a period of 3
(or 5, but 3 seems more plausible) works for a non-octave ennealimmal.
We can take the generators as the TOP tunings of 3 and 5/3, or as
3 and 3^(451/970), etc etc. The mapping is [<9 1 1 12|, <-18 0 1 -22|].
I accidentally shut down my Maple session, so I'm giving DE scales of
size 13, 15, 28 and 43 within the "tritave" in terms of the Scala
files I created. These are justly tuned versions; if you temper this
by your favorite ennealimmal tuning you get tempered versions, but you
can simply take them as is, and make use of the inherent approximations.
! ennon13.scl
Nonoctave Ennealimmal, [3, 5/3] just tuning
13
!
27/25
7/6
63/50
10/7
54/35
5/3
9/5
35/18
21/10
50/21
18/7
25/9
3
! ennon15.scl
Nonoctave Ennealimmal, [3, 5/3] just tuning
15
!
27/25
7/6
63/50
250/189
10/7
54/35
5/3
9/5
35/18
21/10
245/108
50/21
18/7
25/9
3
! ennon28.scl
Nonoctave Ennealimmal, [3, 5/3] just tuning
28
!
21/20
27/25
245/216
7/6
49/40
63/50
250/189
49/36
10/7
72/49
54/35
100/63
5/3
7/4
9/5
189/100
35/18
49/24
21/10
108/49
245/108
50/21
49/20
18/7
500/189
25/9
20/7
3
! ennon43.scl
Nonoctave Ennealimmal, [3, 5/3] just tuning
43
!
36/35
21/20
27/25
10/9
245/216
7/6
6/5
49/40
63/50
35/27
250/189
49/36
25/18
10/7
72/49
3/2
54/35
100/63
81/50
5/3
12/7
7/4
9/5
50/27
189/100
35/18
2
49/24
21/10
54/25
108/49
245/108
81/35
50/21
49/20
5/2
18/7
500/189
27/10
25/9
20/7
35/12
3
Full thread (1 messages)
From: Gene Ward Smith (2004-03-15)
Subject: Nonoctave ennealimmal
The 1 in the wedgie for ennealimmal (<18 27 18 1 -22 -34|) caught my
eye, and it occurred to me that a generator of 5/3 and a period of 3
(or 5, but 3 seems more plausible) works for a non-octave ennealimmal.
We can take the generators as the TOP tunings of 3 and 5/3, or as
3 and 3^(451/970), etc etc. The mapping is [<9 1 1 12|, <-18 0 1 -22|].
I accidentally shut down my Maple session, so I'm giving DE scales of
size 13, 15, 28 and 43 within the "tritave" in terms of the Scala
files I created. These are justly tuned versions; if you temper this
by your favorite ennealimmal tuning you get tempered versions, but you
can simply take them as is, and make use of the inherent approximations.
! ennon13.scl
Nonoctave Ennealimmal, [3, 5/3] just tuning
13
!
27/25
7/6
63/50
10/7
54/35
5/3
9/5
35/18
21/10
50/21
18/7
25/9
3
! ennon15.scl
Nonoctave Ennealimmal, [3, 5/3] just tuning
15
!
27/25
7/6
63/50
250/189
10/7
54/35
5/3
9/5
35/18
21/10
245/108
50/21
18/7
25/9
3
! ennon28.scl
Nonoctave Ennealimmal, [3, 5/3] just tuning
28
!
21/20
27/25
245/216
7/6
49/40
63/50
250/189
49/36
10/7
72/49
54/35
100/63
5/3
7/4
9/5
189/100
35/18
49/24
21/10
108/49
245/108
50/21
49/20
18/7
500/189
25/9
20/7
3
! ennon43.scl
Nonoctave Ennealimmal, [3, 5/3] just tuning
43
!
36/35
21/20
27/25
10/9
245/216
7/6
6/5
49/40
63/50
35/27
250/189
49/36
25/18
10/7
72/49
3/2
54/35
100/63
81/50
5/3
12/7
7/4
9/5
50/27
189/100
35/18
2
49/24
21/10
54/25
108/49
245/108
81/35
50/21
49/20
5/2
18/7
500/189
27/10
25/9
20/7
35/12
3
Raw file
! ennon43.scl
Nonoctave Ennealimmal, [3, 5/3] just tuning
43
!
36/35
21/20
27/25
10/9
245/216
7/6
6/5
49/40
63/50
35/27
250/189
49/36
25/18
10/7
72/49
3/2
54/35
100/63
81/50
5/3
12/7
7/4
9/5
50/27
189/100
35/18
2
49/24
21/10
54/25
108/49
245/108
81/35
50/21
49/20
5/2
18/7
500/189
27/10
25/9
20/7
35/12
3
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10072.html#10072
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_9945-12429.json
! topic_id = 10072
! msg_id = 10072