source file: m1570.txt Date: Sat, 31 Oct 1998 15:41:20 -0800 Subject: Re:consonance/disonance From: Kraig Grady Back in the early 80's I composed quite a few compositions involving the inversions of just intonation tetrads. I experimented with quite a few "formulas" 1. adding all the tones how they occurred in the harmonic series plus all Ist order difference tones. 2. the same as the previous but omitting the duplications. So if a certain number occurred more than once it was omitted. this out of the two was more successful. a quantum physician at CERN supplied me at one time with a "plug in" the numbers version of Schrodingers Wave equation which did not provided me with a consonance to dissonance sequence but a sequence of a certain quality that was "logical " on some level I can't describe. By the way does anyone have versions of Barlows and tenney formulas that we of lesser math comprehension could use to see if it is even worth while. The notion of lower harmonics /less dissonance relationship should in my empirical experience be replaced with the notions that the higher the "coincidences" between the material the more consonant. This would include those irrational number relationships where pitches are related by difference and combination tones. Also would explain the success of Navarro's choral ideas.It would be interesting if we could experiments as a group with different formulas and compare our thoughts and results! -- Kraig Grady North American Embassy of Anaphoria Island http://www.anaphoria.com