Topic: Breed tetrad dilation scales

2 scales

Thread (1 messages)

From: Gene Ward Smith (2005-06-04)
Subject: Breed tetrad dilation scales

These are isosceles triangles in the breed plane, with b(n) = 2n^2+2n+1
notes, b(n-1) otonal tetrads, b(n-2) utonal tetrads, for a total of
4n^2-8n+6 tetrads, so in the limit there are twice as many tetrads as
notes.

Below are the second and third scales, in detempered form.

! breetet2.scl
doubled Breed tetrad
13
!
49/48
25/24
7/6
49/40
5/4
4/3
10/7
35/24
3/2
49/30
5/3
7/4
2

! breetet3.scl
tripled Breed tetrad
25
!
49/48
25/24
15/14
35/32
9/8
7/6
49/40
5/4
245/192
125/96
21/16
4/3
10/7
35/24
3/2
49/32
25/16
49/30
5/3
7/4
25/14
175/96
90/49
15/8
2