Jim writes:
<< Another thing no one so far has mentioned is the fact that the bridge
itself is NOT rock solid. When pressure is applied to a bridge pin, it
DOES move - by a microscopic amount - but it moves - and the movement of
one pin will move the next one a little bit. Wood grain is springy. I'll
bet that if you very carefully measure (on the same note of the same piano)
unison tuning going from sharp to flat, you will find this effect is not
the same as when you tune going from flat to sharp. >>
Greetings,
Another consideration is that the more flexible the bridge, the longer the
effective length of the string. A completely immovable termination will stop
the strings impulse at the point of termination, but a flexible one will allow
that point to move farther beyond the actual physical termination.
Perhaps this is what is happening when all three strings are brought into
perfect agreement. They lose the stiffening effect of the various out-of-phase
vibrations hitting the bridge. We know that a slightly "out" unison will have
more sustain,(Weinreich, again).
In effect, the three strings tuned together gang up on the bridge and
moves it more than it would if they were not together, thus creating an
effectively "longer" string.
So many mysteries, so little brain...
Ed Foote RPT
http://www.uk-piano.org/edfoote/index.html
www.uk-piano.org/edfoote/well_tempered_piano.html
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