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Epimorphic rectangular scales

🔗Gene Ward Smith <gwsmith@svpal.org>

8/14/2004 11:39:58 AM

There are twelve scales which result from taking a 3x2 rectangle of
tetrads within the cubic lattice of tetrads. One of them, reca1b2, or
glumma, is given by Scala to be permutation epimophic with respect to
the glumma val, <12 19 27 34|. In fact another of these scales,
reca1c2, has this property also. I give it below.

! glamma.scl
Glamma = reca1c2, <12 19 27 34|-epimorphic
12
!
25/24
35/32
8/7
6/5
5/4
10/7
35/24
3/2
5/3
12/7
7/4
2