Robin and Sarah, Your technical dialogue on the physics of vibrating strings is most erudite and interesting to read. However, as you know piano tuning has a very practical side in which actual practice is the bottom line of any discussion. So I will chip in a few more cents helping to relieve your cases of duplexophobia. 1. It may be that your contemporary understanding of physics is greater than that of Hermann Helmholtz and CFT Steinway, but it must be said that the results of developing and incorporating this feature have had tremendous impact in the piano world. 2. From actual practice privately and in my PTG seminars as well as from testimonials of established technicians who practice the tuning of duplex scales, I can categorically state that when all other features such as strings, hammers, board, action tuning are correct but the duplex is out of tune, by tuning the duplex the sustain increases from 100 to 300%. That is a tone that lasts 3 to 4 seconds after tuning the duplex scale will last from 6 to fifteen seconds. I am encouraged by your interest, and wish to point out that it would take less time to actually tune a duplex scale than to write (and for me, to READ) the dissertations. But you'll never collect $200. if you don't get past GO. Good luck, Dan Franklin
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