In music, two notes are said to be an octave apart when one note is exactly twice the frequency of the other. Suppose you have a guitar string playing frequency f0. To increase the frequency by an octave, to 2f0, by what factor would you have to change the length (if you keep tension constant)? (Show work and indicate if you increase or decrease the length.) [5 pt]
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So, to increase the frequency by an octave, we need to double the frequency. Therefore, the new frequency Zf will be 2f. Show more…
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