In Reply to: Re: musical instrument tuner posted by Dean Huster on 05/11/03 at 10:52 PM:
That coefficient is the twelfth root of two which comes out to an endless decimal of 1.059.....
If you start with some frequency "f" and multiply by the twelfth root of two twelve times, the last value you get is "f x 2" which is one octave above where you started.
I used to sing in a choral group. It dawned on me one day that the tempered scale looked like that, so I asked the director about it.
He lit up like a carbon arc lamp. What a smile!! He'd learned that fact way, way back and had then forgotten it and I had awakened a long dormant memory!