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Maths IA doubt regarding Fourier Series

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so, i am almost done with my maths IA, but i am unable to figure out how to get the pitch of a sound by using fourier series. I  have an odd and even function, but i dont not know  how to get the pitch of the sound. i know that i cannot use the simple 1/time-period, because of the discontinuities in the function. so what do i use? please help me. 

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