## Re: Help me understand why sound is one dimensional

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Reply #45 –

Interesting thread! I'm not a mathematician, just an IT guy with barely enough math knowledge to be dangerous, but hear me out.

It always seemed to me that a waveform is something that can only be approximated. Unless it's generated by a function, that is (like a sine wave.) In music, the waveforms can only be approximated since the underlying sounds are very complex and chaotic.

Have you considered how waveforms not generated by a function are created? It isn't like they are created by some algorithm used to approximate sound.

The actual complexity of a waveform makes it a very fractal-like structure. As such, it might make more sense to assign a fractal dimensionality to waveforms, which probably lies somewhere between 1 and 2?

Fractal-like? That's quite a leap.