Cents to Ratio Conversion

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Cents to Ratio Conversion

harish3679
Hi all,

For harmonic 5th ratio 3/2 to cents conversion to the first note of a scale,

which is log(1.5)/log(2) = ln(1.5)/ln(2) = 0.58496

Multiplying by 12th note of an octave, >> 1200*0.58496 = 701.95

Now, with cents value 701.95 without knowing the ratio 3/2, how do I
calculate cents to ratio??

Regards,
Harish







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Re: Cents to Ratio Conversion

Ian McCallion
On Friday, 31 January 2020, harish3679 <[hidden email]> wrote:
Hi all,

For harmonic 5th ratio 3/2 to cents conversion to the first note of a scale,

which is log(1.5)/log(2) = ln(1.5)/ln(2) = 0.58496

Multiplying by 12th note of an octave, >> 1200*0.58496 = 701.95

Now, with cents value 701.95 without knowing the ratio 3/2, how do I
calculate cents to ratio??

I'm not at my computer to check this but I believe it is 

      2^(cents/1200)

Cheers... Ian