<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"> <html> <head> <meta content="text/html;charset=ISO-8859-1" http-equiv="Content-Type"> <title></title> </head> <body bgcolor="#ffffff" text="#000000"> 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 <blockquote> 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 <a class="moz-txt-link-freetext" href="http://scitation.aip.org/jasa/">http://scitation.aip.org/jasa/</a> (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</blockquote> </body> </html>