false beats from ?? -...

Ron Nossaman rnossaman@cox.net
Thu, 22 Dec 2005 10:04:53 -0600


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> Hi,
> Could we add to the list of causes of false beats the hight of the 
> bridge pin above the string?
> A taller flag pole sways easier than a short one.

While the pin height might very well affect the beat RATE, the 
flagpoling still has to be there in the first place for the typical 
loose pin false beat.


> ??What is the relationship between the size of the wire and cause of 
> false beats??

There has to be a relationship. The effective increased speaking 
length of a given springy termination will be longer with a more 
flexible wire, shorter with stiffer, assuming the actual effective 
termination just past the bridge pin is the same in both cases.


> It seems to me that 90% of false strings are from C6 up/

Look at the math on just the speaking lengths, ignoring oscillation 
frequency of the pin and wire stiffness. Let's say the loose pin 
produces an effective speaking length difference of 0.001" between 
vertical and horizontal excursion of the string.

U=unison number
T=tension
F=frequency
D=wire diameter in 0.001"
L=speaking length in inches
Fork=A-4 pitch

F=0.0625*fork*2^(1/12*(U-1))
T=((F*L*D)/20833)^2
so
F=((T^0.5*20833)/L)/D

Figure the frequencies of two speaking lengths 0.001" apart at the 
same tension, and you have a beat rate.

Ron N



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