To Murray:
It took several years,(5+) and multiple progressive tunings, and a few broken strings, for my Cable-Nelson UpRight Grand, circa 1890's to come into a stable pitch. It was well worth it....
However, I would never equate its process with that of a "reed-toned" concertina. A single piano tuning is the price of what I paid for a used button-box....certainly not a "classic...."but a nice "toy."