Oops.... I sent this and another post in private, rather than to pianotech. (Just when you all think I have my head screwed on straight, I exclaim, "But wait! There's more!") ... Sarah > Hi Del, > > > The major problem I have with this whole tuned backscale discussion is > that > > it requires thinking of each string (or unison) and its associated bridge > > segment as a series of mono-chords (mono-unisons?) acting independently of > > each other. The do not, of course, what happens to one unison happens also > > to the adjacent unisons for some distance up and down the bridge. In other > > words, when the strings of, say, C-64 are vibrating and causing the bridge > > to move it is not just the backscale strings of C-64 that are set in > motion > > in response. The backscale strings of all of the unisons for some distance > > on either side of C-64 are also set in motion. In real life it would be > > pretty difficult to come up with any backscale length > > arrangement--deliberately tuned or not--that did not have at least a few > > adjacent backscale string segments harmonic with some driving string > > segment. (Unless, of course, you try to explain the generation of sound > > energy by the soundboard in some way that does not have the bridge moving > in > > response to the vibrating energy in the strings. Then, I suppose, all bets > > are off.) > > I completely agree. This is why I was arguing that the tuning of much of my > Wissner duplex to sevenths might have been by design, since the duplex > segment that would resonate to a main segment's vibration would be a > half-step away, hence on the adjacent note. Although Wissner worked/studied > under Steinway, perhaps he disagreed with Steinway's rationale regarding > duplex effects, regarding all vibrational energy as passing through the > bridge. Or perhaps he shifted corresponding main segments and duplex > segments by a half step to partially decouple duplex resonances from > longitudinal waves (see Robin Hufford's post -- now I understand what is > meant by a "longitudinal" wave) while maintaining coupling for transverse > waves, thus softening the duplex effect somewhat over certain note ranges. > > Peace, > Sarah >
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