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<DIV><FONT face=Arial size=2>Hi Alan et al.,</FONT></DIV>
<DIV> </DIV>
<DIV><FONT face=Arial size=2>
<DIV><FONT face=Arial size=4>>> Ah, you were so close to =
naming it. It's
called longitudinal inharmonicity, When strings vibrate, they don't just =
go up
and down, as sketches of string motion are drawn. They move in all =
directions,
very complex. Simply put, the strings in question are some combination =
of
damaged, poorly made, dirty, corroded, stretched out, or just old. The =
motion in
one or more directions is hampered in some way so the string harmonics =
are
"fighting" each other, i.e., not matching up, going out of
phase.</FONT></DIV></FONT></DIV>
<DIV> </DIV>
<DIV><FONT face=Arial size=2>Very cool. Now I know the name.
<smile> Just to expand on this concept, if the impulse (i.e. =
hammer
blow) delivered to the string has both vertical and horizontal =
components, and
if the vertical and horizontal components are not simple scalar =
translations of
each other (i.e. that the horizontal force is a fixed multiple of the =
vertical
force, such that they could be resolved as a simple, unidirectional =
impulse at
an angular direction -- highly doubtful), then the initial horizontal =
and
vertical spectra would have different relative representations in the =
different
harmonics (partials). As a result, the resultant angle of =
vibration would
differ between harmonics. (Think about it.) Now, considering =
the
inharmonicity of the string, the phasing of the different harmonics =
would
drift. As they drift, angle of vibration at any given position of =
the
string would also drift, i.e. being the sum of the vibrational =
components from
each harmonic, which arguably are set at different angles in an =
imperfect
system. Add to the cocktail that nonlinearities in string behavior =
would
result in the gradual transfer of energy from lower frequencies to their =
harmonics in the *same* vibrational direction as the lower
frequencies, with those frequencies summating with the (slightly =
different
frequency) harmonics at different vibrational angles, thus causing =
a shift
in the angle of the resultant vibrational component. YOW!!
WOW!! This could make a person's brain bleed!</FONT></DIV>
<DIV><FONT face=Arial size=2></FONT> </DIV>
<DIV><FONT face=Arial size=2>ANYWAY.... I think the answer =
with regard to
the non-yowing Bosendorfer vs. the other yowing pianos is probably =
the
absence of horizontal components in the initial impulse to the =
string.
That is, (1) the hammer is better balanced on the shank, such that the =
shank
doesn't twist when set into motion; (2) the hammer's center of mass =
moves perfectly in-line towards the strike point =
(not with
respect to the arc of it's swing); (3) the centers are tighter, =
resulting in
less play; (4) the hammers are more uniform and/or less =
grooved, such
that the string is not "tapped" slightly to one side; (5) other factors =
that you
piano techs would know better than I would. Basically, it's a more =
precise
motion that delivers, say, a 99.5% vertical and 0.5% horizontal =
blow, even
after all the twisting and flailing that the hammer undergoes en route =
to the
string. Perhaps the extra care in manufacture? =
Perhaps
luck of the run? </FONT><FONT face=Arial size=2>Perhaps it's =
also
partially related to the use of hornbeam, which I recall flexes
less???</FONT></DIV>
<DIV> </DIV>
<DIV><FONT face=Arial size=2>I remember taking lessons as a =
teen on my
teacher's concert Bosendorfer. Cool piano! I think she loved =
that
piano like a child. Still, I confess I didn't enjoy =
it as much
as a beat-up Steinway B</FONT> <FONT face=Arial size=2>in one =
of the
practice rooms at my alma mater. The piano didn't look like much, =
but it
sang beautifully -- even if it might have yow-yow'ed a bit!</FONT></DIV>
<DIV> </DIV>
<DIV><FONT face=Arial size=2>Peace,</FONT></DIV>
<DIV><FONT face=Arial size=2>Sarah</FONT></DIV>
<DIV> </DIV>
<DIV> </DIV>
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