Standing Wave Frequency Calculator — fₙ = nv/2L

A string fixed at both ends only vibrates at specific harmonics: the fundamental plus integer multiples, set by the wave speed and length.

Standing Wave Frequency Calculator — fₙ = nv/2L

fn=nv2Lf_n = n\frac{v}{2L}

How to interpret the result

Guitar frets work this way: halving the vibrating length (n = 1) doubles the frequency — exactly one octave higher.

Assumptions

  • Both ends fixed (nodes at the ends)
  • n is a positive integer (1 = fundamental)