If n1, n2 and n3 are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency 'n' of the string is given by following :
1
n = n1 + n2 + n3
2
\( \rm\frac{1}{n}=\frac{1}{n_1}+\frac{1}{n_2}+\frac{1}{n_3}\)
3
\(\rm\sqrt{n} = \sqrt{n_1} +\sqrt{n_2} + \sqrt{n_3} \)
4
\(\rm \frac{1}{\sqrt{n}}=\rm \frac{1}{\sqrt{n_1}}+\rm \frac{1}{\sqrt{n_2}}+ \rm \frac{1}{\sqrt{n_3}}\)