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by miningape 915 days ago
We may perceive the same pitch (perhaps with a different timbre) even if the fundamental frequency is missing from a tone [1].

It seems to me like wikipedia agrees that even if the fundamental frequency is missing we could still use some kind of FFT to find the fundamental frequency being played (and therefore the perceived pitch). I might be missing something this is very far from my area of expertise :P

1 - https://en.wikipedia.org/wiki/Missing_fundamental