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When it comes to waves, spherical harmonics are, like, da bomb. I'm no expert - probably obvious from the question - but it seem to me that an instrument which maximises the utilisation of harmonics/resonances would be spherical.
And yet, I can think of no spherical instruments - the most ubiquitous is the "figure-of-8" shape of most stringed instruments, and the quasi-cylindrical shape of woodwind/pipe instruments. Both shapes clearly have strong harmonic modes, but why is the sphere not equally prolific a shape upon which to model an instrument?
And yet, I can think of no spherical instruments - the most ubiquitous is the "figure-of-8" shape of most stringed instruments, and the quasi-cylindrical shape of woodwind/pipe instruments. Both shapes clearly have strong harmonic modes, but why is the sphere not equally prolific a shape upon which to model an instrument?