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Usually for music, pitch is another term for the frequency of the fundamental tone. So, a sine wave at 440 Hz will seem to the ear to have the same pitch as the open A string on a violin or the first A above middle C on a piano, and the same for other frequencies, pitches, and musical instruments. E.g., we can tune a whole orchestra with just a single tuning fork for A4 at 440 Hz, and when the whole orchestra plays A it sounds good, that is, without beats from the fundamental frequencies of some of the instruments being a few Hz away from a whole number multiple or fraction of 440 Hz.

However, IIRC, this simple relationship between frequency of the fundamental and pitch to the ear does not hold well for all possible periodic sounds.




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