Terrys paragraph below comes about close to the truth as any post so
far. The whole point of any bridge termination is twofold and both bits
are just as important. First to define a precise termination for the
string, and second to clamp the string as effectively as possible to the
bridge. Side ways motion of the string on the bridge is of course just
one of many potential bi-products of an inefficient clamp. In fact side
ways motion would be a symptom of nearly no clamp at all. The
termination as a whole has to be massy enough, but not overly so, and it
has to be so in all directions the string vibrates at for all its
frequencies, which is essentially all directions ... not just horizontal
or vertical. The clamping mechanism as a whole is the termination, and
not just the pin. It comprises a compound support for the string. False
beats can occur under several specific conditions... some of which have
been mentioned, and they can occur in other types of terminations such
as agraffes and for that matter the Wapin. In the end tho... anything
that causes a variance in the resistiveness of the termination over one
or vibration planes at one or more frequencies. I suppose you could say
that each single string is a composite of as many virtual strings as
their are overtones and directions of vibration for these. Each of
these virtual strings behaves with respect to the termination by the
same set of rules. Which... in basic single string single frequency
single direction simple case description is given by Weinreich (among
others) Please see
http://www.speech.kth.se/music/5_lectures/weinreic/mistuned.html
Cheers
RicB
In other words, the front termination is self-clamping because of
the large
force of the string on the termination point created by the string
tension
and the large counterbearing angle. The bridge termination requires
a manual
clamp (offset bridge pins) of some type because of the small force
of the
string on the termination point (bridge) created by the string
tension and
the small counterbearing/backscale/downbearing angle.
Terry Farrell
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