odd tuning problem
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Wow, there is life here, belatedly.
I re-strung the entire thing. Its scale length is 29". I got a couple sets of strings from a local Guitar Center, specifically dulcimer strings by Martin & Co.; they're 3 @ .012 and 1 @ .022. Having just now looked again at the owner manual that Messick included, he recommends 2 @ .010, 1 @ .012, 1 @ .020w. So I suppose I should get a new set to match that.
I don't think the bridge has moved at all; there is no "give" to it.
Perhaps different, thinner strings will improve matters. I'll see to it next week.