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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 > > Very interesting, indeed! This system implies certain audible > characteristics of, for example, "triangular" scales and chords as well > as... he, he.. "squarish" songs ;-) Exactly. I think it's great fun to discover these for yourself, so I won't give away the shapes, but I will say it gives a whole new meaning to "symmetric" scales and equivalent chords! You'll see in a whole new way WHY C7b5 and F#7b5 are the same. Loop content: when I'm looping long dronal things and I want to move from one key or tonal center to another, I often choose them according to their placement on the circle and my associations with that placement. Douglas Baldwin, coyote-at-large coyotelk@optonline.net