At 12:00 pm +0100 10/6/07, Richard Brekne wrote: >...If you actually apply this formula find out what kinds of things >need to happen to a given string for it to experience the kind of >pitch changes we observe... you immediately see that the pitch >changes we see at the tenor bridge have no (at present) good >explanation. What objection do you have to Wolfenden's explanation below? JD At 7:47 pm +0100 27/4/07, John Delacour wrote on this list: >The most succinct description I know of of this phenomenon comes from >Wolfenden, writing in 1916. > >_____________________________ > > It is now known from experience that practical equality of tension > throughout the instrument tends to prevent changes in the tuning due > to variations in the temperature. When the tension is equal the > temperature movements are equal. > In former days pianofortes were exceedingly sensitive to changes > of temperature, mainly because the fact noted above was unrecognized > or disregarded. > A thermometric movement of a few degrees often sufficed to render > (in a very short time) an instrument unusable, and had the tuner > recently paid one of his visits, the discredit of the change was > charged to him. > The notes in which the greatest changes occurred, were the lower > ones which were strung with plain steel wire. > I have known numerous instances in which the changes in these notes > were equal to nearly a semitone between midsummer and midwinter, > while the other parts were relatively stable. > This was due to the customary very low tension of these notes. > There seems to be a point in an ascending scale of tension, at > which the elasticity of the wire is almost suddenly developed (*) to > an extent we could not anticipate, so that a difference, so that a > difference, which would be very serious at a general low tension, > will become more tolerable. > To make this intelligible, let us suppose an instrument in the > tension of pitch C is 130 lbs., and that of C two octaves lower is > only 100 lbs. This piano will be extremely sensitive. > But let us now suppose that we can lift the tension so that pitch C > stands at 200 lbs. and the other at 154 lbs. While there still > remains a liability to change, it is much reduced, although the ratio > of the difference in unaltered. Covered bass strings, which are
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