Saturday, May 05, 2018

[dqkfnndt] Amplitude modulated harmonics

The amplitude of the fundamental frequency oscillates with period 1.  (NB: We are describing oscillation of the envelope of the waveform, not the oscillation of the waveform itself.)  The first harmonic (i.e., frequency twice the fundamental) with period phi, the golden ratio.  The second harmonic at period phi^2, then phi^3.  Because no power of phi is a multiple of another, over time, you will hear all possible timbres (not including inharmonic partials).

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