ragisyn12
Ragisyn 6561/6250 81/80 scale
Properties
| Notes | 12 |
| Period | 1200.0 ¢ |
| Just | 5-limit |
| Source |
Mailing lists
|
| Reference | https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_8331.html#8331 |
| Thread | 12 scales |
| Tone |
Tone (¢) |
Step |
Step (¢) |
| 250/243 |
49 |
250/243 |
49 |
| 10/9 |
182 |
27/25 |
133 |
| 243/200 |
337 |
2187/2000 |
155 |
| 5/4 |
386 |
250/243 |
49 |
| 27/20 |
520 |
27/25 |
133 |
| 25/18 |
569 |
250/243 |
49 |
| 3/2 |
702 |
27/25 |
133 |
| 125/81 |
751 |
250/243 |
49 |
| 5/3 |
884 |
27/25 |
133 |
| 9/5 |
1018 |
27/25 |
133 |
| 50/27 |
1067 |
250/243 |
49 |
| 2 |
1200 |
27/25 |
133 |
Similar scales
Parent scales
Child scales
Mailing list post
From: Gene Ward Smith (2003-12-31)
Subject: The Twelve Ragisyn Scales
The interval 6561/6250 is shy of a minor semitone of 21/20 by a
ragisma, so we may consider it a RAGIismic minor semitone; together
with the SYNtonic comma of 81/80 we have the name "ragisyn" for this
type of Fokker block. Below I list all twelve of them; the first two
are self-dual, the rest are inversively related in successive pairs.
As before, they all reduce to -3 to 8 under the meantone val.
! ragisyn1.scl
Ragasyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
100/81
4/3
25/18
3/2
125/81
5/3
9/5
50/27
2
! ragisyn2.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
100/81
4/3
1000/729
40/27
10000/6561
400/243
16/9
4000/2187
2
! ragisyn3.scl
Ragasyn 6561/6250 81/80 scale
12
!
25/24
9/8
243/200
5/4
27/20
25/18
3/2
125/81
5/3
9/5
50/27
2
! ragisyn4.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
100/81
4/3
1000/729
40/27
10000/6561
400/243
16/9
50/27
2
! ragisyn5.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
100/81
4/3
1000/729
40/27
125/81
5/3
9/5
50/27
2
! ragisyn6.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
5/4
27/20
25/18
3/2
125/81
5/3
9/5
50/27
2
! ragisyn7.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
100/81
4/3
1000/729
40/27
10000/6561
400/243
9/5
50/27
2
! ragisyn8.scl
Ragasyn 6561/6250 81/80 scale
12
!
250/243
9/8
243/200
5/4
27/20
25/18
3/2
125/81
5/3
9/5
50/27
2
! ragisyn9.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
100/81
4/3
1000/729
3/2
125/81
5/3
9/5
50/27
2
! ragisyn10.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
100/81
27/20
25/18
3/2
125/81
5/3
9/5
50/27
2
! ragisyn11.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
100/81
4/3
1000/729
40/27
10000/6561
5/3
9/5
50/27
2
! ragisyn12.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
243/200
5/4
27/20
25/18
3/2
125/81
5/3
9/5
50/27
2
Full thread (1 messages)
From: Gene Ward Smith (2003-12-31)
Subject: The Twelve Ragisyn Scales
The interval 6561/6250 is shy of a minor semitone of 21/20 by a
ragisma, so we may consider it a RAGIismic minor semitone; together
with the SYNtonic comma of 81/80 we have the name "ragisyn" for this
type of Fokker block. Below I list all twelve of them; the first two
are self-dual, the rest are inversively related in successive pairs.
As before, they all reduce to -3 to 8 under the meantone val.
! ragisyn1.scl
Ragasyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
100/81
4/3
25/18
3/2
125/81
5/3
9/5
50/27
2
! ragisyn2.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
100/81
4/3
1000/729
40/27
10000/6561
400/243
16/9
4000/2187
2
! ragisyn3.scl
Ragasyn 6561/6250 81/80 scale
12
!
25/24
9/8
243/200
5/4
27/20
25/18
3/2
125/81
5/3
9/5
50/27
2
! ragisyn4.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
100/81
4/3
1000/729
40/27
10000/6561
400/243
16/9
50/27
2
! ragisyn5.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
100/81
4/3
1000/729
40/27
125/81
5/3
9/5
50/27
2
! ragisyn6.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
5/4
27/20
25/18
3/2
125/81
5/3
9/5
50/27
2
! ragisyn7.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
100/81
4/3
1000/729
40/27
10000/6561
400/243
9/5
50/27
2
! ragisyn8.scl
Ragasyn 6561/6250 81/80 scale
12
!
250/243
9/8
243/200
5/4
27/20
25/18
3/2
125/81
5/3
9/5
50/27
2
! ragisyn9.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
100/81
4/3
1000/729
3/2
125/81
5/3
9/5
50/27
2
! ragisyn10.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
100/81
27/20
25/18
3/2
125/81
5/3
9/5
50/27
2
! ragisyn11.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
6/5
100/81
4/3
1000/729
40/27
10000/6561
5/3
9/5
50/27
2
! ragisyn12.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
243/200
5/4
27/20
25/18
3/2
125/81
5/3
9/5
50/27
2
Raw file
! ragisyn12.scl
Ragisyn 6561/6250 81/80 scale
12
!
250/243
10/9
243/200
5/4
27/20
25/18
3/2
125/81
5/3
9/5
50/27
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_8331.html#8331
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_7445-9944.json
! topic_id = 8331
! msg_id = 8331