Beats/cents

[johndelmore at suddenlink.net]

Hi Julia--I think that's close enough for government work.  The actual definition is that a cent is 1/1200th of an octave, and the formula for cents difference is 1200 time the base 2 log of the ratio.  As most calculators don't "do" base 2 logs, it's close to 3896 times the base 10 log of the ratio.  With that formula, I get 11.497 cents.

John
---- KeyKat88 at aol.com wrote: 
> Greetings,
>  
>         Would someone please confirm or  correct the following (Just making 
> sure and clearing up fuzzy  understanding)
>  
> If A4 on a piano is tuned to 443cps then it is tuned about 11.466  cents 
> sharp. Correct?
>  
> A440 x 1.059463092 = Bflat 466.1637
> 466.1637cps minus 440cps = 26.1637 cps
> 26.1637cps/100cents = .261637 
> 3/.261637 = 11.466 
>  
> Thank You, 
> Julia Gottshall
> Reading, PA
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