Hi Paul.
The variability of beat speeds you mention bothered me as well for a
long time. But lots of reading on the subject removed my objection per
se. What finally made the light go on there was Jim Ellis's article
from way back. He used a pendulum analogy to show that the degree of
springyness a support (i.e. termination) has can essentially lengthen
the effective arm of the pendulum and slowing the period. It does this
by moving in phase with the oscillation of the pendulum. The more
springyness, the greater the complimentary oscillation and the faster
the beat rate. That in itself tho leaves one with a single slower
frequency... not two frequencies needed to create a beat rate. Ok... so
a string vibrates at many frequencies... but it still would need to have
to simultaneous nearly identical lengths for a beat rate to happen...
and this needs to happen at the termination..... Ok again... the string
can vibrate at same frequencies in several different planes at the same
time... and then this becomes possible... at least as far as springyness
of the termination in general is concerned.
The problem with fitting a loose pin into this as something that
<<directly causes>> false beats is that one attempts to go back to Jim's
article... define the pin as the pendulums <<support>> and as such must
claim horizontal movement of the pin as being the culprit. This gets
problematic immediately. Jim himself denies that (stricktly) horizontal
movement of the pin.. or that any in phase movement by the termination
in any /particular/ direction at all is at root. In phase movement at
the termination occurs in all directional planes of string vibration.
He cites general springyness of the termination as a whole, tho is the
first to go along with the idea that bridge pins can be a contributing
factor in the general condition. I also wonder about the sidebearing of
the string in this picture... it would seem to me that even if a loose
pin was involved.... the least likely direction for in phase springyness
would be the horizontal exactly because of the side bearing the string has.
Then there are some empirical facts that simply cant be ignored. Purely
from a statistical standpoint there is really no identifiable
correlation between the occurance of false beats and loose bridge pins.
Way to many cases where the opposite happens... way to many cases where
the same false beat occurs when pins are actually tight. Then there is
also this famous <<test>> with the screwdriver. Why does pressure with
the screwdriver actually cause the false beat to start up again and
speed up with more pressure when you've first put enough pressure on the
pin to quite a false beat ? Why does the application of mass to
neighboring bridge pins or back side pins also (sometimes) affect the
presence of a false beat ?
Strikes me that the whole presently and popularly accepted idea that
bridge pin is /thee/ support for the string and that it /causes/ false
beats is a pretty large oversimplification of the whole thing.... likely
based on an equally over simplifed interpretation of articles like
Jims. And as is very common in our trade the collective we jumps on the
wagon declaring a new (and just as magical as any previous) Truth . Viola !
For my part.... I'll keep adding CA in appropriate circumstances...
because it does help... (another discussion entirely :) )... but I'll
also keep wondering about what the heck is really causing false beats.
Clearly the loose pin thing is to thin. Actually... when it comes down
to it... the recessed notch bit seems much more likely as it allows the
string itself to have a partial vibrating in several planes at the same
time at different lengths... the bridge pin doesnt need to even get
involved here. For that matter... string imperfections at or very close
to the termination can cause a string internal springyness that could be
at root. The whole thing needs IMHO a lot more looking into before any
definitive explanation is available.
Cheers
RicB
Ric:
What has always struck me about that particular mythology is the
variability of beat speeds in real (false) beating. Attributing it
to loose bridge pins would lead us, no?, to believing that the loose
bridge pin is moving in some way in the bridge pin hole, wandering
in some oscillating manner that would create a "countable" beat,
sometimes as slow as one beat per second, and certainly much faster
in most instances, but still regular and countable. I share your
skepticism, and return again to some length differential being
created in the speaking length by way of termination deterioration,
particularly the notch part of the termination creeping forward in
the curve of the notch and creating a separation from the ideal
simultaneous contact of the string at pin and bridge top. This is an
old can of worms, I know, but maybe worth revisiting.
Paul
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