You are quite wrong David. The formula, and the approach for arriving
by calculation at a change in pitch resulting from any given change in
length is entirely adequate. I already went down the road you hint at
with several of the physics guys and gals on both lists and Galembos
paper is where all that ended up.
As for your two different strings below... of COURSE a similar change
in length will affect differently two dissimilar strings that were
originally tuned to the same pitch. What that has to do with any of this
I am sure I dont know... but even if it did... you could still calculate
the changes in pitch each of these would make.
Again... Calculate the change in length using trig, then the change in
tension using Galembo.. (Hooks law actually), and then you have what you
need to calculate resultant change in pitch for any given (unwound)
string at any given start tension.
Cheers
RicB
Sorry, but it's not quite a complete enough formula for purposes of this
discussion. When comparing two strings that produce the same pitch
but with
different tensions, either the original length will be different or the
diameter will be different (or both), thus a similar change in
length will
yield a different change in tension and thus pitch.
David Love
davidlovepianos at comcast.net
www.davidlovepianos.com
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