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Extended essay the mathematics of sound

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I am in the process of choosing a research question for my extended essay and am unsure if the possible questions I have come up with are focused enough. Here are the two that I have created:

How can the sound of the clarinet be described mathematically?

To what extent can tone qualities of sound (i.e. Bright, dark) be quantified using Fourier analysis?

Thanks for any help!

Edited by Thehellomartian Frommars

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