FW: Beats vs cycles vs cents

[David Love]

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Didn't quite finish this on the first sending.
 
A3 = 220 cps
A4 = 440 cps
A5 = 880 cps
 
Each semitone is 1/12 of the difference between each octave.  As you can
see the total cps differences between each octave increase as you go up
the scale.  Therefore, the number of cps between each semitone will also
increase and 100 cents will correspond do a different number of cps
depending where in the scale the semitone falls.  Since beats are a
product of the difference between two pitches cps's, the number of cents
that correspond to beats will also vary depending on where in the scale
you are.  
 
David Love
davidlovepianos@comcast.net 
-----Original Message-----
From: pianotech-bounces@ptg.org [mailto:pianotech-bounces@ptg.org] On
Behalf Of Alpha88x@aol.com
Sent: Thursday, December 02, 2004 10:23 AM
To: pianotech@ptg.org
Subject: Re: Beats vs cycles vs cents
 
Greetings,

            I know this is a delayed response on this thread,  but I am
confused. 

           Granted that 1/100th of a half step is a different numeric
value for each note of the piano, but 1/100th of a half step is always
100 divided into the munber of cycles (or distance) from one half step
to the next succesive half step up (or down) isnt it? 

Julia
PA

In a message dated 3/15/2004 7:08:48 PM Eastern Standard Time,
eromlignod@kc.rr.com writes:



There are 100 cents in a half-step (semitone), but a cent is *not*
1/100th
of a half-step.


(100 cents is always a half-step no matter how high or low the
frequency is.

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