A friend of mine has an old concert grand. The piano is in excellent condition, the bearing is good, the crown is good, the whole piano is good. There was only one little problem, this piano has very little volume in the midrange and even less in the treble. When I looked at the underside of the soundboard I noticed that the soundboard ribs had no taper at the ends. I tried to woo the piano into submission by chanting equations at the soundboard. I then brought my computer in and showed it the simulations I generated of a vibrating membrane, the piano still had the same problems. I looked over at my friend and for some reason the poor man was in tears, I couldn't imagine why. I was defeated. Has anybody had problems with untapered ribs? Has anybody tried to taper the ribs while the board was still in the piano? If so, did it help? Was it more trouble than it was worth? Has anybody ever replaced one of these boards? If so, did you taper the ribs? What affect did it have? Did it make enough of a difference to validate the effort? Dan Squire University of Houston As far as the laws of mathematics refer to reality they are not certain, and as far as they are certain, they do not refer to reality. - Albert Einstein
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