tuning in out there

Kristinn Leifsson istuner@islandia.is
Wed, 21 Jun 2000 00:03:10 +0000


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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