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?
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
Problem 44P
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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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