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The Discrete Fourier Transform (DFT) is a mapping between a finite set of discrete points in a (primal) domain (time, space) and the dual frequency domain. DFT requires an input sequence which is discrete, such as a sampling from an analogue audio signal.

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Waveform independent frequency analysis

Please check librosa which is really nice python library. It already has a bunch of algorithms implemented for pitch detection. Also instead of FFT try using CQT which reports spectral content of a si …
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