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Spheres octaves and pitch 
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#1
Feb1008, 11:15 AM

P: 23

Dose anyone know the relationship of cube root numbers and the fraction of 1/8
"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? 


#2
Feb1008, 05:19 PM

P: 455

The pitch depends on the radius of the sphere. Doubling the radius multiplies the volume by
2^3=8. 


#3
Feb1108, 05:58 AM

P: 23

Is it as simple as that...haha lol, I knew 2^3 was 8 but I had assumed I was looking for something more complex, funny when you look for the complex you miss the simple.
Would this only work for spheres then? 


#4
Feb1108, 12:49 PM

Sci Advisor
P: 1,269

Spheres octaves and pitch
It would also work for the frequencies of a 3D object. For a drumhead, the pitch would go like 2^2.



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