Greetings, There is a world of people out there tuning their own electronic instruments, and it is possible that the future of intonation resides with their new ideas more than our old tonality. What would we have to say about the 22nd Century's penchant for playing Mozart in a 46 tone equal temperament? Since some of our list members, at times thought it arcane to be discussing temperament variety, I am posting the following dialogue from the "Tuning" list for a little perspective. I will confess right here I haven't a clue as to what the conversation means!! Regards, Ed Foote (Finally finished the next temperament CD, hopefully available before Christmas 00 !) --- 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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