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Detempered Meantone[21]

🔗Gene Ward Smith <genewardsmith@coolgoose.com>

8/28/2006 5:54:51 PM

Here are two more superparticular ratio scales containing the 7-limit
diamond; the first is detempered Meantone[21], and the second is the
19-note scale consisting of tetrads.

! meandia.scl
Detempered Meantone[21]; contains 7-limit diamond
21
!
21/20
15/14
9/8
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
15/8
27/14
2

! metdia.scl
Consists of the tetrads of detempered Meantone[21] = meandia.scl
19
!
21/20
15/14
9/8
8/7
7/6
6/5
5/4
9/7
4/3
7/5
10/7
3/2
8/5
5/3
12/7
7/4
9/5
15/8
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], [0, 0, 1], [-1, 0, 0], [-1, 1, 1], [-1, -1, -1]]