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If I record the voice of a man and a woman, what are the main differences I get in the various spectra and harmonics in Fourier analysis?

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The main difference between female and make voice is the pitch range of the fundamental frequency (of all vowels and consonants that have a pitch). The difference is significant: it's on average a factor of two or thereabouts.

Female also tend to have higher ranges but the relevance of this depends highly on the specific language and the difference is somewhat less significant.

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