Tuning the Bluthner/plucking

Sarah Fox sarah@gendernet.org
Sat, 1 Feb 2003 00:29:10 -0500


Hi Joe,

> For those of us that use an ETD, I think we've found, (at least I have),
> that when you pluck a string it will read flat as opposed to being struck
by
> the hammer. I don't know why, but this seems to be consistant. Any
thoughts
> from the Scientific bunch?

Can/do you pluck with the same loudness as with a hammer strike?  I suspect
the phenomenon has to do with the loudness.  (For instance a note will
slowly flatten as the vibrations dissipate, as observed recently by someone
on the list.)

Variation of pitch with amplitude has to do with variation in the spring
constant as the string is stretched laterally.  The increment in pressure
required to displace a string from 0 mm to 1 mm is much less than the
increment in pressure required to displace it from 10 mm to 11 mm.  It's a
matter of mechanical advantage and can be understood by examining simple
trigometric relationships.  There are certainly other contributing
nonlinearities at play, both in the steel of the string and in the other
vibrating parts, but I don't think these would be as important.

The so-what of this is that a string vibrating at a lower spring constant
(at lower amplitude) will vibrate at a lower pitch.  That's because there's
less force to move the string back and forth.  At progressively higher
amplitudes, associated with higher spring constants, there is a
disproportional, extra "tug" that reverses the direction of the string a bit
faster, resulting in higher frequency vibration.  For the string to vibrate
at the same frequency at all amplitudes, the lateral force would need to be
directly proportional to the lateral displacement, which it is not.

Hope that helps...

Peace,
Sarah


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