Hi Fred. I have never seen a piano behave like this in 30 + years of working on them. There is always a major shift at each break in the scale. Most times one can even see a slight jump even when the scale is broken/widened at the front termination and not at the bridge. I've watched pianos very closely for a long time relative to climatic changes, and what I see is a similar type of movement in each section. If the lowest part of the tenor is sharp relative to the rest of the tenor section... then you see the same thing in the tenor/treble break... and the treble/diskant break (up to the last highest octave) and in the bass section. Same thing in reverse if the low tenor has become low with respect to the rest of its section. The pattern is nowhere near as severe in the bass or highest treble (diskant)... but its there. I dont think I have ever seen an exception to this <<rule>>. The only part of the piano that doesnt seem to fit into this is the highest octave...especially from F-G7 upwards. Seems to do what the low tenor is doing and seems to have a very large reaction. There is another problem with the idea that bridge/soundboard growth or shrinkage can be so very much involved. The amount of downbearing change required to account for any significant pitch change is just too high to account for more then a small amount of vertical deflection change. If you start off with a say half degree string deflection in the tenor and graduate to 1.5 degrees in the treble as a starting point... and start figuring out how much vertical change is needed to account for pitch changes and then look at resultant downbearings.... it gets scary real quick. Even with the change in length across the bridge surface that would happen as a result of a change in string offset angle through the bridge pins when the string climbs up/down the pins. I posted a small calculator that does shows rough results for a single string a while back. If anyone wants to take a look at what one has to accept as <<doable>> for a soundboard in terms of vertical deflections for pitch changes... drop me a line. Cheers RicB > What is problematic about > this is that any such change in string position height to the bridge pin > is governed by the response of the surface of the bridge to climatic > changes, and hence quite uniform... which in turn dictates a pitch > change that is directly related to the length of the string. Shorter > strings will be more effected then longer strings Yes, and that does happen on some pianos (response to humidity change very large in the top octave or two). Steinway and Baldwin products come to mind. Not so on other pianos, as Yamahas for instance. I haven't a clue why there should be that difference between makes, but I do always know to anticipate that enormous pitch change in octaves 6 - 7 on Hamiltons and 1098s (and Everett studios), and to a lesser extent on the grands of those makes. We're talking within 20 cents in the rest of the piano, and 30 - 50 in that top octave and a half. ... hence a very > graduated and even curve of change in pitch.... which clearly does not > happen. We see big breaks where the bridge is doglegged which need to be > accounted for amoung other things. Yep, lots of strange things happen, and lots of factors are involved. I have become more and more convinced that bridge growth and shrinkage in all dimensions (height, width _and_ length) are quite significant, sometimes more than soundboard. This could explain why some pianos just don't seem to want to stabilize as much as others with a Dampp-chaser (excuse me, ahem, Piano Lifesaver) system installed. A thought, anyway. So many factors, including lamination/solid (bridge and board), compression/rib crown (and does it still have crown? Downbearing?), rib cross section, age of wood (how hygroscopically active is it?), orientation of grain, fineness of grain . . . And then you add the wire factors. We will never really get a handle on the inter-relations of all these factors. I'm not saying it can't be done, but nobody is going to go to that much trouble. We might tease out a few things, though. Ron's epoxy laminated bridge, for instance, and how much of a difference it makes. Regards, Fred Sturm University of New Mexico
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