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Bach and the musical torus
In a previous article we found a Möbius strip in Bach's music. This time it's a doughnut shape.
Given there's a finite number of notes on a scale, can we still find a brand new melody? Perhaps they've all been written already!
Many things make a noise when you hit them, but not many are commonly used to play music — why is that? Jim Woodhouse looks at harmonic and not so harmonic frequencies and at how percussion instruments are tuned.
Fractals are a treat for your eyes, but what about your ears? Dmitry Kormann, a composer/keyboardist from São Paulo, Brazil, explains how he integrates fractal-like patterns in the very structure of his music, to obtain beautiful results.