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Actually, Brian, the wave analysis of vibrating guitar strings is fairly well
understood. When the displacement of the string is relatively small, as it is
with vibrating musical instrument strings, the partial differential equation can
be approximated as "linear" which simplifies it greatly.
I have trouble with the notion that the equation for Frequency as a function of
Length, Tension and Density should have an additional variable of anchoring
distance or anchoring angle. Sustain and dampening are affected by those
additional variables due to the different way pressure is put on the bridge. I'm
not so sure that frequency would be affected. If it were, the variables of
anchoring distance and/or anchoring angle would be very negligible.
-Marty
----- Original Message -----
From: Brian Neal
To:
Sent: Monday, September 05, 2005 7:16 PM
Subject: [SurfGuitar101] String Tension, was Re: Tone Control question
--- In , John McCorvey
<eddiekatcher@y...> wrote:
> Boy Brian, I am impressed....one question, in the case
> of a Jazzmaster, Jaguar, or any other guitar where the
> strings pass over a bridge and are anchored behind as
> say the mentioned, doesn't this additional length add
> an additional variable to your equation.....
Yeah I'm sure it does...but I have no idea how to characterize that.
I am *really* on shaky physics ground now and had probably just better
shut up. :-) You could probably say that the Jazzmaster would have a
longer *effective* string length compared to a Strat because of the
string length behind the bridge, even though it doesn't contribute as
much because it is bent over the bridge. And maybe as a result you
would get *slighly* lower string tension than a strat. But again, I
should just shut up here...I can hear the ice cracking under my feet...
My physics professor in college was undertaking all kinds of crazy
measurements of vibrating strings in musical instruments. Apparently
if you look really close, it's not a well understood phenomenon.
BN
.
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