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IA - Fourier Analysis?


laylaT

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Hey guys,

I was wondering if Fourier series and analysis is a suitable topic for the math investigation for HL. 

I wanted to investigate Fourier and music, maybe something to do with modeling consonance/harmony or how it applies to different types of music. However, my math teacher believes the math is a little challenging and needs extensive explanation of physics concepts. Has anyone experimented with Fourier before, what kinds of approaches have you taken to fourier? do you think this could make a good IA? 

Thanks :)

Layla

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Although I am not too familiar with Fourier transform, it is a topic of sufficient difficulty for HL. As a math exploration, you don't need to explain a lot of physics beyond speed/wavelength/period/frequency of a wave. Some of the challenging aspects include finding expressions for the resultant waves for the consonance/harmony/instrument of your choice. 

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