As with most things having to do with piano design there is no perfect bridge height. The bridge is an integral part of the overall soundboard assembly and, as such, changing the height-or any other physical parameter-of the bridge will change the acoustic performance of that assembly. In my original comment on this topic I said I prefer working with bridges that are a minimum of 30 mm in height at C-88. As the original question concerned a Steinway Model A-2 I believe this to be an appropriate answer. But now the question seems to have become, "if a 30 mm bridge height is good won't 40 or 50 mm be even better?" In very broad terms-leaving out the issue of string height relative to the action-changes in bridge height will affect both the transverse stiffness of the bridge and its mass. Assuming its width and construction material remains the same, a taller bridge will be both stiffer and more massive. As to whether or not this is a good thing depends on a number of soundboard variables such as the relative thickness of the soundboard panel, the number and location of the ribs, the height and width of those ribs, soundboard assembly crown, etc. It will also depend on the overall tension of the string scale. This is definitely not a case of "one-size-fits-all" and a bridge height that works well in one piano design won't work at all well in another. Generally speaking a piano with a relatively low tension string scale (such as the Steinway Model A-2 in question) will work well with a bridge having a nominal width of about 32 mm and a height in the 30 - 34 mm range. (Starting with that 30 mm height at C-88 they will usually get taller on down into the tenor.) Trying to fit a bridge much taller than this into one of these pianos will probably lead to action geometry (and/or hammer bore) problems. Everything else being equal it will also overload the string scale and give the piano a somewhat strained sound; overall sustain would be good but the attach would be weak and energy at the fundamental would be some lacking. A piano with a relatively higher tension scale and an under-designed rib scale can accommodate the greater mass of a taller bridge, though the same acoustic results can probably be obtained through properly sizing an appropriate rib scale. A soundboard design using fewer ribs can also usefully use the added stiffness of a taller bridge though a better approach would be to design and install a rib scale having a reasonable number of appropriately placed and sized ribs. ddf
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