Piano Tuner: Loosen or Further Tighten String?

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When a piano tuner hears 2 beats per second, it indicates a significant difference in frequency between the tuning fork and the piano note. After tightening the string, the beat frequency decreases to 1 beat per second, suggesting the frequencies are closer but still not matched. To achieve a perfect pitch, the tuner should loosen the string, as this will further reduce the frequency difference. If the two notes were of the same frequency, no beats would be heard. Therefore, loosening the string is the correct action to take.
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Suppose a piano tuner hears 2 beats per second when listening to the combined sound from her tuning fork and the piano note being tuned. After slightly tightening the string, she hears 1 beat per second. Should she loosen or shoud she further tighten the string?

I believe the answer is to loosen the string, but I'm not sure...

Thanks in advance!

Regards,
Allabout42
 
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Well, the beats occur because the notes are of different frequencies, right? As their frequencies get closer, do the number of beats per second increase or decrease? How many beats per second will you hear if you play two notes of the same frequency?
 

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