#teamclassical is both the vetus modus & the novous modus; I realized we could map 12-tones onto I-V-I via geometry! twitter.com/TeamClassical/…
— Team Classical (@TeamClassical) June 28, 2012
Recently, I mapped the 12 tones against traditional harmonic intervals to create a circle map. Chords can be created by drawing polygons between the points. Then I changed the circle to a spiral to create octaves.
What can we learn from this representation? The chords create planes with a certain area. What can we abstract from the overlapping planes?
Can we learn something of the essential nature of harmonic construction from this type of visual representation?
Imagine scores animated through this type of spiral. The planes would dance and stretch and disappear and re-emerge in patterns of delight.
I just saw this, James. You probably already know this book but I figured I would share it with you: A Geometry of Music by Dmitri Tymoczko http://goo.gl/MmV6a
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