Guitar String

The guitar string is fixed at both ends--therefore it has a node at both ends.

Figure 1: Standing waves on a guitar string.

For a string of length $L$ and each harmonic number $${n}$$,

• the wavelength is $${\lambda_n = \frac{2}{n}L}$$.

• the frequency is $${f_n = n\frac{v}{2L}} = nf_1$$

(where $v$ is the speed of sound).