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

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:

1.0594630943592952645618252949463417007792043174941856285592084314587616460632557223837683768639455690077407643263828173662417375208278510396447239851142711154329904702397149338041654256876420976329379895947129709947064800938991173847686705520689400326781575138330323131995539095901458748459550068180652177280236281045557138695532017548026400571795958795845375678298300209773792500536874403398881937606323435254399006328830846125529480888721482330441407418489310819850924997998668703570949791758433702986302376126251739819190089193669312980545351979827053587735657860482264604473090968624372596272293682528044863570700171131799931049836732088988640355692026715766412091054962575144939810886497381851517440920251779887848316668923329282019397436420789823388226000705578790103964696887044937701555993149379866153352257152374614051434715909550634239965392012144355546261229757088213051698359353195699170447597068431