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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