notes - set of harmonics?

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IntelInside

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When they say that a given note has the same set of harmonics for all instruments does that mean that frequency wavelength and period are all the same?
 
IntelInside, IdiotOutside

jokes.

I think when they say this they mean that you can make harmonics of the same frequencies that are integer multiples of a fundamental frequency.

You know with a guitar, you know how you can make the same pitch (sound) with different strings by going down the bar lower and lower?? I think that is essentially the idea.

Musical instruments have to make different frequencies though, or else the sounds will sound all the same.