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Effect of Phase:



We have shown only the amplitude spectrum because in many situations the tone you 'hear' is relatively insensitive to the phase angles, qk, of the terms in the Fourier series, and depends mainly on the amplitudes of the terms, ak.

Select the waveform below to hear the first 10 nonzero harmonics of the Fourier series representation of a square wave at 200 Hz.





Next, listen to the effect of randomizing the phase.






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