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Another kind of non-epimorphic constant structure scale

🔗Gene Ward Smith <gwsmith@svpal.org>

7/20/2005 4:13:44 PM

This scale is a 7-limit rational meantone, which was constructed as a
detempering using the commas of 441-et of a 7-limit meantone fifth, a
fifth flat by 3136/3125. Aside from whatever interest that might hold,
it is interesting as an example of a constant structure scale which is
not epimorphic, and for which even a rationally valued val does not
exist. It is, in other words, very far from being epimorphic, but
easily constant structure, being a slightly irregular Meantone[12] MOS.

! mean441.scl
7-limit JI meantone, 441-et detempered
12
!
16384/15309
262144/234375
1225/1024
5/4
8192/6125
65536/46875
6125/4096
8/5
2048/1225
234375/131072
15309/8192
2