<!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"> <blockquote> </blockquote> Hi Fred You are correct, this is what para is about.  But it is caused much as Don describes.  This is all in the Five Lectures available at the Swedish PTA site. I'm not sure however whether all this can or can not be applied to the idea that a soundboards stiffness can be changed enough in general to account for any real amount of the pitch change we see in pianos... but the idea is interesting and I am looking forward to whatever may come up on this line of thought. Cheers RicB <blockquote>There are often occasions where a partial or more in those ladders appears somewhere it shouldn't be according to an even curve (predicted value). I thought _that_ was what Dean called para-inharmonicity. Fred Sturm </blockquote> </body> </html>