Dose anyone know the relationship of cube root numbers and the fraction of 1/8(adsbygoogle = window.adsbygoogle || []).push({});

"Assuming a body of a size represented by X has a pitch of 1024 per second, then a pitch of 2048 (double 1024) per second will be produced by a body having a volume of some mean between 1/8 of X and the cube root of X"

I understand why a pitch double the original will be produced by a sphere 1/8 the volume because if you double the diameter of a sphere you increase its volume by eightfold.

I don't however understand the relationship between 1/8 and cube root numbers, any ideas?

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# Spheres octaves and pitch

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