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> Från: Douglas Baldwin [mailto:coyotelk@optonline.net] > > Per Boysen wrote: > > One thing he said was very interesting IMO: "It changes the way you > > hear music when you start working with mathematic processes". Can > > someone on this list tell about similar experiences? > > Briefly: Draw the chromatic scale out like a twelve-pointed > circle - a dodecahedron - and note the locations of various > chords and scales on this circle. This simple geometric view > of intervals will quickly reveal numerous patterns in the > music you care to chart in this way, and in the construction > of music generally. Now I often "hear" these shapes and > associate the shapes with certain sounds. I am amazed that > this simple process is not used in music education. Douglas > Baldwin, coyote-at-large coyotelk@optonline.net Very interesting, indeed! This system implies certain audible characteristics of, for example, "triangular" scales and chords as well as... he, he.. "squarish" songs ;-) Best wishes Per Boysen ________________ www.boysen.se www.fuzz.se www.upsweden.com