Question

the fundamental frequency for the 3rd chord on a five-string guitar is 240 Hz. what frequency would produce the 10th harmonic?​

Answer 1

The frequency of the 10th harmonic is 800 Hz

Explanation:

The frequency of the nth-harmonic for the standing waves in a string is given by the equation

$f_n = n f_1$

where

$f_1$ is the fundamental frequency of the string

In this problem, we are given the frequency of the 3rd harmonic:

$f_3 = 240 Hz$

Which can be rewritten in terms of the fundamental frequency

$f_3 = 3 f_1$

So we find $f_1$:

$f_1 = \frac{f_3}{3}=\frac{240}{3}=80 Hz$

Now that we have the fundamental frequency, we can find the frequency of the 10th harmonic, with n = 10 :

$f_{10} = 10f_1 = (10)(80)=800 Hz$

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