Mass coeficient.. was Calculating Strike Point

Joseph Garrett joegarrett at earthlink.net
Tue Jan 30 19:44:43 MST 2007


RicB said: "
I am not sure myself what mass coefficient is to be used with Pure 
sound. I've been asking questions along those lines here and on CAUT for 
about a month now and havent gotten any response. I do know his density 
and E-modulus figures. Perhaps the following paragraph from his website 
will help...

Providing wire numbers can be found on the instrument, it is
usually possible to establish the brand of pianowire used, by
calculating the string tensions assuming one type of pianowire,
then look at the logic of the graph that comes out. It is
precisely the huge difference between the various numbering
systems that often set out one particular brand.

To measure a string tension I use a simplificated form derived
from the Taylor formula:

F = 2514 x f2 x l2 x d2

F = tension in kg (gravity 9.81).
f = frequency in Herz.
l = speaking length in meters.
d = diameter in meters (!)


This formula is based on modern piano wire, average density 7,85.
These data are all hidden within the number: 2514.
For Pure Sound wire this number is : 2530. (average density: 7,90)
For Malcolm Rose's wire the number is : 2488. (average density:
7,769)"

Ric,
I read through all of that and finally got to the 2nd from the bottom line- - -Voila': it reads average density 7.90!! That's the mass coefficient and has to be plugged into the scaling formula to get a better picture of what that stuff is all about and how it will react in regards to tension and Inharmonicity and Impedance! If you didn't do that then whatever you are planning on this piano needs to be re-calced, IMO.<G>  :-(
Best Regards,

Joe Garrett, R.P.T.
Captain of the Tool Police
Squares R I
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