The whole note, or just one string/tuning pin? I have had such an experience with one string where I finally determined that the tuning pin wanted to jump past the target pitch when being raised, but could be 'eased down' from above pitch - which is what I would do. Problem was that there was friction in the system that was touchy: I could pound the note and it wouldn't budge, but next day (or during a concert) it would drop 10 cents or so.
Solution? Always tune it up to pitch, not up from below. It was hard to learn to move the pin that minute amount when it wanted to jump, but I finally learned to do it, and the process became the basis of a transformative and much more secure stability technique: tune by manipulating the pin, using flex and twist and lots of persistence and patience (though tuning actually goes faster).
IOW, it is possible there isn't some gremlin at work. It could just be an ornery pin/pinblock interaction, together with an ornery frictional problem.
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Fred Sturm
University of New Mexico
fssturm@unm.eduhttp://fredsturm.nethttp://www.artoftuning.com"We either make ourselves happy or miserable. The amount of work is the same." - Carlos Casteneda
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