<HTML>Okay, so I set up a spreadsheet in which I started arb= itrarily with a 52mm note 88, took the natural log (Ln), added an increment,= used the EXP function to return the length of the next note, repeated it do= wn to note 21, and graphed it all to show a picture of the long bridge shape= . I dinked around with increments by trial and error until I found one, 0.0528= , that gave me a note 40 that was very close to that of a Stnwy B, and overl= aid that shape on the graph of a B bridge. I also overlaid speaking length s= cales from several other pianos onto the same graph, and they all were surpr= isingly close to the same shape, except where you would expect them to diver= ge in the low tenor, around note 28 or thereabouts. My question is, so what? What does this mean? Why would I choose a different= increment? I guess with a higher increment the scale would be longer as it = went down, higher tension, lower inharmonicity or louder (depending upon wir= e size), but would "run out of case" sooner, or have to be compromised earli= er with wound strings, third bridge, etc. Might this heavier scale be expect= ed to have a slightly shorter sustain, all other things being equal? Thanks, Bob Davis </HTML>