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> They recognize very subtle deviations in frequency. I have had a person tell me "It's too sharp" when I was only off by 3 cents according to the tuner.

Ok, but THAT I have. I don't have absolute pitch, but I was always able to tune my cello more precisely than my teacher. (and other instruments too, not limited to one person)

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Once a single string is tuned it is all relative from that one, so I can totally see how that would be the case. If you are a good listener then you can tell the beats until they are very close indeed.

Another trick: tune then relative to the first string tuned, not incrementally from one tuned string to the next. That way you end up much closer to the ideal.

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