Robin Hufford wrote: >The formula becomes(using I(est)) to indicate >rotation at the balance rail, >I(est) = 1/12ml^2 + md^2 If I understand you correctly, d is basically half the height of the key. I.e., you're rotating the key not around its center top-to-bottom, but around its bottom, so the center is displaced by the distance of half the key height. If so, for a 20 inch key that is 1 inch high this represents only a 0.75% difference from using (1/12 ml^2) alone. In the land of rough estimates, I would probably not make too much of this. -Mark
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