Vibrating String Calculator (Standing Waves)

Wave speed and harmonic frequencies of a string fixed at both ends (guitar, violin, piano).

Results

Wave speed—
Frequency fₙ—
Wavelength λₙ—
First six harmonics (Hz)—

How to use the Vibrating String Calculator

  1. Enter or select: String length L, Tension T, Linear density μ, Harmonic n.
  2. The results (Wave speed, Frequency fₙ, Wavelength λₙ, First six harmonics (Hz)) are calculated instantly as you type.
  3. Use “Copy link” to share the calculation with the same input values.

Formula

  • v = √(T/μ)
  • fₙ = n·v / (2L)
  • λₙ = 2L/n
ExpressionApply operationsCalculated result