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I've been messing around with formulas for musical notes (trying not to read anything that would help me unless I get stuck) and currently I'm at a point where I'm trying to get a function that describes each note's frequency in terms of it's surrounding notes and specifically to find if their respective frequencies are close to a whole number ratio.

I can use a computer to calculate a table of every whole number ratio that I expect to see but I'm wondering if there is any other approach to this?

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    Continued fractions might be a good start? http://en.wikipedia.org/wiki/Continued_fraction2012-05-22

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