Topic: The Twelve Ragisyn Scales

12 scales

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