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On the other hand, it is impossible to eliminate beats, even in theory.Yes -- "correct" tuning is what you are raised/learn and expect to hear.
Any tuning of a piano leaves some intervals out of tune. For instance,
the standard "equal temper" tuning makes all major thirds quite sharp.
Most people are so used to this style of tuning, that they accept it as
the "correct" tuning, even though it is really just a compromise.
--- Tim