Re: [LAU] ..about beauty...

Chuckk Hubbard wrote: I strongly believe that the overtone series is the basis of all harmony. In there you'll find the octave, fifth, major/minor thirds and seconds (actually only our octave and fifth are the only equal tempered intervals that are tuned as in the overtone series). The overtone series is not neseccarily the only "good" relationship between intervals, but it the one build into everything we and our forefathers surround(ed) ourselves with. An early man hitting a hollow piece of wood 40,000 years ago would hear the overtone series. Same with Josquin de Prez hearing a single voice singing a single note. Same with Cage. It's the common harmonic reference from which no hearing person cannot escape (although we can try, and make interesting music exploring along the way). However the equal temperament is just one approximation of the intervals found in the overtone series, one that for obvious reasons was so practical that it has enjoyed wide spread use. Different cultures (for reasons I will make no attempt to understand) made different approximations of the overtone series and/or made use of it's intervalic relationships in different ways, which brought us Bach, Miles, the Ragas of Indian music and then some more. -- peace, love & harmony Atte http://www.atte.dk | quintet: http://www.anagrammer.dk | compositions: http://www.atte.dk/compositions