Is this the PHI of 12 tone music? Equal tempered semi-tone multiplier

Posted by tomachi on July 25th, 2017 filed in Science

2 to power of 1/12

2 to power of 1/12

Take any positive number, multiply it by this number twelve times, then divide by 2. Same number you started with in theory. This should be what you multiply a tone frequency like concert pitch 440 hertz to get A# as 466.16 hertz.

So I finally found a use for Wolfram Alpha! I was able to use it factor or solve the quadratic equation:

To find the value of X when A > 0, and also when A*X*X*X*X*X*X*X*X*X*X*X*X = A*2

The solution is that X = 2^1/12 (two to the power of 1/12). Which is roughly 1.05946309 or more precisely:

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