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Physics — Standing Waves & Harmonics

Harmonic frequencies on strings and in open/closed pipes.

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f_n = \frac{nv}{2L} \;\;\text{(string / open pipe)}

f_n = \frac{(2n-1)v}{4L} \;\;\text{(closed pipe)}

v = \sqrt{\frac{T}{\mu}}

\lambda_n = \frac{2L}{n}