On 1/29/2013 12:04, unruh wrote:

Actually for a piano, there is ALWAYS beating. The three strings have
three modes, and it is impossible to tune all those three modes to the
same frequency, because the soundboard couples them. Thus the three
modes all sound to gether with slightly different frequencies. This is
part of what gives the piano its distinctive sound over say a
harpsichord.

The piano tuners that I have met have been tuning professionally for decades. They always clamp and damp two of the three strings (on the upper half of the keyboard, the bass notes only have two strings or fewer) and tune each string independent of the others. The strings from adjacent notes and further along the soundboard will vibrate, too, but not as sympathetically as the other strings struck by the same hammer.
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