sentdia
Consists of the tetrads of detempered Sensi[27] = sensidia.scl
Properties
| Notes | 21 |
|---|
| Period | 1200.0 ¢ |
|---|
| Just | 7-limit |
|---|
| Source |
Mailing lists
|
|---|
| Reference | https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_15658.html#15658 |
|---|
| Thread | 2 scales |
|---|
| Tone |
Tone (¢) |
Step |
Step (¢) |
| 21/20 |
84 |
21/20 |
84 |
| 15/14 |
119 |
50/49 |
35 |
| 10/9 |
182 |
28/27 |
63 |
| 8/7 |
231 |
36/35 |
49 |
| 7/6 |
267 |
49/48 |
36 |
| 6/5 |
316 |
36/35 |
49 |
| 5/4 |
386 |
25/24 |
71 |
| 9/7 |
435 |
36/35 |
49 |
| 4/3 |
498 |
28/27 |
63 |
| 7/5 |
583 |
21/20 |
84 |
| 10/7 |
617 |
50/49 |
35 |
| 3/2 |
702 |
21/20 |
84 |
| 14/9 |
765 |
28/27 |
63 |
| 8/5 |
814 |
36/35 |
49 |
| 5/3 |
884 |
25/24 |
71 |
| 12/7 |
933 |
36/35 |
49 |
| 7/4 |
969 |
49/48 |
36 |
| 9/5 |
1018 |
36/35 |
49 |
| 28/15 |
1081 |
28/27 |
63 |
| 40/21 |
1116 |
50/49 |
35 |
| 2 |
1200 |
21/20 |
84 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|
| meandia |
21 |
0 |
21.5 |
Parent scales
Child scales
Mailing list post
From: Gene Ward Smith (2006-08-28)
Subject: Detempering Sensi[27]
Sensi[27] is a MOS containing the 7-limit diamond. Detempering it
gives the following 27-note JI scale containing the diamond:
! sensidia.scl
Detempered Sensi[27]; contains 7-limit diamond
27
!
28/27
21/20
15/14
10/9
8/7
7/6
6/5
56/45
5/4
9/7
4/3
27/20
7/5
10/7
40/27
3/2
14/9
8/5
45/28
5/3
12/7
7/4
9/5
28/15
40/21
27/14
2
The scale is not as regular as one might hope, having intervals
ranging from 225/224 down to 28/27. It has six otonal and six utonal
tetrads, and the subscale consisting only of those tetrads has 21
notes, also containins the diamond, and also has superparticular scale
steps:
! sentdia.scl
Consists of the tetrads of detempered Sensi[27] = sensidia.scl
21
!
21/20
15/14
10/9
8/7
7/6
6/5
5/4
9/7
4/3
7/5
10/7
3/2
14/9
8/5
5/3
12/7
7/4
9/5
28/15
40/21
2
! [[0, -2, -1], [0, -1, -2], [0, -1, 0], [0, -1, -1], [0, 0, -1], [-1,
0, -1],
! [-1, 0, 1], [-1, 1, 0], [0, 0, 0], [-1, -1, 0], [-1, 0, 0], [-1, -1,
-1]]
This has six o and six u tetrads, and three each complete quintads.
One more of each kind if you marvel temper. Scale steps range from
50/49 down to 21/20, with all superparticular step sizes.
Full thread (1 messages)
From: Gene Ward Smith (2006-08-28)
Subject: Detempering Sensi[27]
Sensi[27] is a MOS containing the 7-limit diamond. Detempering it
gives the following 27-note JI scale containing the diamond:
! sensidia.scl
Detempered Sensi[27]; contains 7-limit diamond
27
!
28/27
21/20
15/14
10/9
8/7
7/6
6/5
56/45
5/4
9/7
4/3
27/20
7/5
10/7
40/27
3/2
14/9
8/5
45/28
5/3
12/7
7/4
9/5
28/15
40/21
27/14
2
The scale is not as regular as one might hope, having intervals
ranging from 225/224 down to 28/27. It has six otonal and six utonal
tetrads, and the subscale consisting only of those tetrads has 21
notes, also containins the diamond, and also has superparticular scale
steps:
! sentdia.scl
Consists of the tetrads of detempered Sensi[27] = sensidia.scl
21
!
21/20
15/14
10/9
8/7
7/6
6/5
5/4
9/7
4/3
7/5
10/7
3/2
14/9
8/5
5/3
12/7
7/4
9/5
28/15
40/21
2
! [[0, -2, -1], [0, -1, -2], [0, -1, 0], [0, -1, -1], [0, 0, -1], [-1,
0, -1],
! [-1, 0, 1], [-1, 1, 0], [0, 0, 0], [-1, -1, 0], [-1, 0, 0], [-1, -1,
-1]]
This has six o and six u tetrads, and three each complete quintads.
One more of each kind if you marvel temper. Scale steps range from
50/49 down to 21/20, with all superparticular step sizes.
Raw file
! sentdia.scl
Consists of the tetrads of detempered Sensi[27] = sensidia.scl
21
!
21/20
15/14
10/9
8/7
7/6
6/5
5/4
9/7
4/3
7/5
10/7
3/2
14/9
8/5
5/3
12/7
7/4
9/5
28/15
40/21
2
! [[0, -2, -1], [0, -1, -2], [0, -1, 0], [0, -1, -1], [0, 0, -1], [-1,
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_15658.html#15658
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_12430-15927.json
! topic_id = 15658
! msg_id = 15658