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 21/12, 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?
Please explain your answers.
