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Torsional alternatives

🔗Gene Ward Smith <gwsmith@svpal.org>

7/2/2005 1:11:58 AM

This whole torsion business started out with the question of what you
get by tempering a Fokker block, and Paul's hypothesis, so it is
interesting to note that torsional Fokker blocks can sometimes lead to
the same scale as a nontorsional block on tempering. An example is
Ennealimmal[81]; we can construct a nontorsional block epimorphic with
val <81 127 186 226|, but we can also obtain a torsional block with
torsional part C3, from {128/125, 2401/2400, 4375/4374}, which tempers
to the same scale. Modulo octaves, in one case we have C81 and in the
other C3 x C27; we get our choice of group structures.