[CAUT] link to young paper

[RicB]

Hi Fred

Thanks for the comments.  I realize this isnt everyones bag :), and a 
few of those whome it is are a bit hedgy about whome they share 
information with. I suppose thats natural enough.  Inharmonicity in bass 
strings was not something Young resolved, tho side by side comparisons 
of his formula with that of Miller and Fletcher for plain strings 
compare favorably.

I'm still stuck wondering about this Youngs Modulus : String Density 
relationship and I sure wish I could get some feedback out in the world 
as to how the discrepancy between given values and the resultant 
constant the relationship give is all about.

Perhaps its that the measurements for each are inaccurate enough 
individually that taken together they can yield a rather large error.  
In which case taking the most dependable measurement (whichever that one 
is) and calculating the other would be preferable as a rule I suppose.  
One other thing I've pondered is whether or not the Density of a string 
changes with tension. My intuition would tell me it probably would 
somewhat. How much and whether it would effect the outcome of the 
relationship Q/p = 25.5*10^10th or not is another question. :)

All this is <<needed>> if you are going to write a spreadsheet for 
string scaling data.  That is to say if you are not going to just copy 
other peoples work and want to make sure you understand each formula 
every step of the way.  A great exercise for anyone interested. 

Anyways... still hoping for a resolve on this Q/p thing.  Its kinda 
necessary  to be able to deal with different core /plain string materials.

Cheers
RicB


    Hi Ric,
        Very interesting to read the original paper. Thanks for finding
    it.  
    It is also interesting that all of this work was done on the basis of  
    measurements made with a Conn Stroboscope. I wonder if additional  
    work has been done with more refined measuring devices, and, if so,  
    if the results have been the same.
        The figures (as in charts/diagrams) referred to in the article
    don't  
    appear in the link Ric gave. The original article (including the  
    figures) can be seen in pdf via http://scitation.aip.org/jasa/ (The  
    Journal of the Acoustical Society of America - search Young (author),  
    Inharmonicity (keyword title/abstract).
        There are the usual scattershot results in Young's research, which  
    he "resolves" to neat curves, as seen in those figures. As a  
    practical technician, I often find that there seem to be strange  
    anomalies in inharmonicity, and often separate measurements of the  
    same string will vary markedly, in my experience and that of others  
    (Dean Reyburn talks about "false" inharmonic ladders - I forget his  
    term for them). All those formulae make it seem that pianos are more  
    predictable than they are.
    Regards,
    Fred Sturm
    University of New Mexico

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