tuning in out there

Dave Hall keyboard@cysource.com
Wed, 21 Jun 2000 08:16:38 -0500


Kristinn,

Don't feel dumb!  Just think about how much money the attached information
will make for you in the next 10 or 20 (or 1000) years!

Dave

At 12:03 AM 06/21/2000 +0000, you wrote:
>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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