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

Posted by tomachi on July 25th, 2017 filed in ScienceTake 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: