Topic: The Four Syndie Scales

3 scales

Thread (1 messages)

From: Gene Ward Smith (2003-12-31)
Subject: The  Four Syndie Scales

The name this time comes from SYNtonic and DIEesis, or 81/80 and 
128/125. These, unsurprisingly, turn out to be already known; what is 
new is that there are only four of them. This time I did things 
systematically and made the meantone reduction run from -3 to 8. The 
first two are inversions of each other, and 3 and 4 are self-dual or 
inversionally similar.

! syndie1.scl
First Syndie scale ~ sauveur_ji.scl
12
!
135/128
9/8
6/5
5/4
27/20
45/32
3/2
25/16
27/16
9/5
15/8
2

! syndie2.scl
Second Syndie scale = fogliano1.scl
12
!
25/24
10/9
6/5
5/4
4/3
25/18
3/2
25/16
5/3
16/9
15/8
2

! syndie3.scl
Third Syndie scale ~ duodene.scl = efg33355.scl
12
!
25/24
10/9
32/27
5/4
4/3
25/18
40/27
25/16
5/3
16/9
50/27
2

! syndie.scl
Fourth Syndie scale = marpurg1.scl
12
!
25/24
9/8
6/5
5/4
4/3
45/32
3/2
25/16
5/3
9/5
15/8
2