I feel like the dumbest jerk in the world! Kristinn > >--- In tuning@egroups.com, Carl Lumma <CLUMMA@N... >wrote: > > >>I believe your 96-tone structure is actually a stellated E.F. genus, > > > > > >Carl, I doubt that -- > > > > Yeah, it was a shot in the dark, but... the 4-factor stellated 1:2 CPS > >Huh? > > > is a stellated E.F. genus, > >Can you show me? > > > and it does take 6 tones to stellate the > > large chords in each of the two Pentadekanies, accounting for the 12 > > extra tones in the Chalmers structure. > > > > >as I've noted, the E.F. genus is symmetrical in the square lattice, > > >while the CPSs and their stellations are symmetrical in the > > >triangular lattice. > > > > And? > >By symmetrical I mean "maximally symmetrical". Other than a single >point, a structure can't be maximally symmetrical in both lattices. > > > > >Don't forget, also, that the E.F. genus is only one of many equally > > >symmetrical ways of combining all the CPS scales with a given >number > > >of factors. > > > > True. > >
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