Should the D String Be Tightened or Loosened When Tuning a Banjo?

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To tune a banjo, the "D" string should be adjusted based on the frequency comparison with the "A" string. If the two "A" notes produce a beat frequency of 5 Hz, this indicates that they are not in tune. A beat frequency suggests that one note is slightly higher or lower than the other. To eliminate the beat frequency, the "D" string must be adjusted accordingly; if the "D" string is flat, it should be tightened to match the frequency of the "A" string. Therefore, the correct action is to tighten the "D" string.
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Homework Statement


One way to tune a banjo to itself is to fix the frequency of one string (say, the "A" string) and compare the frequency of the "D" string while held at the seventh fret (so that it should also produce an "A"). If the "D" string is tuned correctly, then the "A" played by the pinched "D" string and the open "A" string should be the same frequency.

Suppose the two "A" notes produce a tone with a beat frequency of 5 Hz. Should the "D" string be tightened or loosened?

A. It should be tightened.

B. It should be loosened.


Homework Equations



v=f*λ

The Attempt at a Solution

 
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What was option C. ?
 

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