Like for example when I’m listening to an orchestra I can hear a clarinet and a violin quite distinctly from one another, but they’re both sounds vibrating through the same air. Logically, shouldn’t one air only be able to carry one frequency (Vibrate in only one way)? How does the air contain so many frequencies simultaneously?
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A bunch of people have answered the direct question about how one medium can contain many frequencies of vibration, but another thing going on with your ears is that you have two of them, and they’re each hearing slightly different vibrations. If you have one sound source to your left and another to your right, their two different vibrations overlap differently in your left ear compared to your right ear.
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