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Same note, different instrument

So a clarinet, and a piano, both play a middle C (261.63 Hz).
But they both make distinct sounds..
What is it about the waves produced that allows you to differentiate between the instruments?

I've pondered this for a long time.

Thanks
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Avatar of Guy Hengel [angelIII / a3]
Guy Hengel [angelIII / a3]
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Thanks.  Sorry for delay.