@GabrielDuquette ...of a moving point. If that point were just going around the main circle, you'd see classical sine waves.
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Replying to @St_Rev
@GabrielDuquette Fourier analysis is the mathematical theory of breaking down arbitrary waves into a sum of sine-waves.1 reply 0 retweets 0 likes -
Replying to @St_Rev
@GabrielDuquette In that illustration, the smaller circles (literal epicycles) represent higher-frequency components with lower amplitude.1 reply 0 retweets 0 likes -
Replying to @St_Rev
@GabrielDuquette As sounds, they correspond to higher but softer harmonics. As graphs, squigglier but smaller.1 reply 0 retweets 0 likes -
Replying to @St_Rev
@GabrielDuquette One collection of such harmonics approximates a square wave. A different collection gives you a sawtooth.1 reply 0 retweets 0 likes -
Replying to @St_Rev
@GabrielDuquette In a (technical and carefully qualified) sense, you can do this with *any* wave. That's how digital synths, CDs etc. work.1 reply 0 retweets 0 likes -
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Replying to @jamesmcn
@jamesmcn@GabrielDuquette I probably meant analog synth. I only know the math-class-lies version.2 replies 0 retweets 0 likes -
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@jamesmcn @GabrielDuquette I'm a mathematician, was just trying to find terms to communicate to Gabe who is a musician.
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. Banned in Sweden. SubGenius, Zhuangist, white-hat troll. Defrocked mathematician. Brain problems.