Guitar strings are tuned to 6 frequencies by selecting the string material's mass/length and adjusting the tension in the string.    1 (E) 329.63 Hz E4 2 (B) 246.94 Hz B3 3 (G) 196.00 Hz G3 4 (D) 146.83 Hz D3 5 (A) 110.00 Hz A2 6 (E) 82.41 Hz E2   On each string, the frequency of the played note is altered by depressing the string against a fret.  Each fret changes the frequency by a factor of 21/1221/12 such that with 12 of these steps the frequency is altered by 2.  At which fret would the G string be depressed to give a frequency of middle C, the same as the resonant frequency of this flute?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter14: Superposition And Standing Waves
Section: Chapter Questions
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4.  Guitar strings are tuned to 6 frequencies by selecting the string material's mass/length and adjusting the tension in the string.

  

1 (E) 329.63 Hz E4

2 (B) 246.94 Hz B3

3 (G) 196.00 Hz G3

4 (D) 146.83 Hz D3

5 (A) 110.00 Hz A2

6 (E) 82.41 Hz E2

 

On each string, the frequency of the played note is altered by depressing the string against a fret.  Each fret changes the frequency by a factor of 21/1221/12 such that with 12 of these steps the frequency is altered by 2.  At which fret would the G string be depressed to give a frequency of middle C, the same as the resonant frequency of this flute? 

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