I just posted a link to a such an approach. In the end its quite easy.
You first find the change in tension a give change in deflection yields,
and then you have all you need to use standard frequency formulas.
Delta T = ES (Delta L / L).
Then calculate for the new frequency with your known wire diameter,
speaking length and tension and the so called K constant... which in
this case is
(Pi * string density / 981)
f = Sqrt(T/(L^2*d^2 *K)
Ok ?
Cheers
RicB
Is there some source or "relatively easy" formula for calculating how much a
string must move through a termination point to produce pitch change? I'd
like to have some tiny bit of basic information so that in describing pitch
corrections of significant distance I can use the information to explain the
likelihood that the piano will need a retuning in the near future.
thanks
les bartlett
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