Beats vs cycles vs cents

[Avery Todd]

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Thanks, Sarah. I'm very mathematically challenged but as long as the
101.3 cents is correct, I'm OK! :-)

At 01:53 PM 3/16/04, you wrote:
>Hi Avery,
>
>Here's a simple formula for you to calculate how many cents, c, to offset 
>your tuning for any given frequency of "A"...
>
>let c = number of cents offset
>let F = frequency reference (in your case, 415 Hz)
>
>Note: There are 1200 cents per octave (per doubling of frequency).
>
>
>F/440 = 2^(c/1200)  (Note: c=0 when F=440.)
>log(F) - log(440) = (c/1200) log(2)
>c = 1200 (log(F)-log(440)) / log(2)
>
>c = 3986.3 log(F) - 10536.6
>
>Plugging in 415 Hz for F, c = -101.3 cents offset
>
>Hope that helps.  :-)
>
>Peace,
>Sarah
>
>
>----- Original Message -----
>From: <mailto:avery@ev1.net>Avery Todd
>To: <mailto:pianotech@ptg.org>Pianotech
>Sent: Monday, March 15, 2004 11:39 PM
>Subject: Re: Beats vs cycles vs cents
>
>Sarah,
>
>Just wondering, but why then do "they" say that to tune to A-415,
>one's ETD should be set to 101.3 cents offset? Have I understood
>wrong?
>
>Avery
>
>
>>And yes, there are 100 cents between one half step and the next,
>>
>>Peace,
>>Sarah
>>
>>
>>
>>----- Original Message -----
>>From: <mailto:jjgranas@zigzag.pl>Jean-Jacques Granas
>>To: <mailto:pianotech@ptg.org>pianotech@ptg.org
>>Sent: Monday, March 15, 2004 5:44 PM
>>Subject: Beats vs cycles vs cents
>>
>>Hi Joseph,
>>
>>So if I understand this right, cents are units along a scale leading from 
>>one half tone to the next, while beats are pegged to the specific 
>>unison's frquency. Did I understand this right?
>>
>>Peace
>>jj

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