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what causes musical instruments to have different sounds?

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harmonics... got it.. but for instruments, whether they have a sound cavity (brass instrument or woodwind) or a string, to be resonating at say, 400 Hz, they should both have the same resonant frequencies no? if a string instrument resonates at 400 Hz, it should also resonate at factors of this frequency. Same with any other instruments; regardless of what they are made out of; if something, anything, resonates at 400 Hz, i t should also resonate at factors of this frequency the same way that the string instrument does. But this is not the case, why?

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