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Resonance Frequency Calculator

Resonant frequencies and harmonics of a string, open pipe or closed pipe.

Enter values

Results update as you type.

Result

Fundamental frequency

263.85 Hz

Wavelength of fundamental
1.3 m

Harmonic series

HarmonicFrequency (Hz)
1263.85
2527.69
3791.54
41,055.38
51,319.23

About the Resonance Frequency Calculator

Resonant frequencies and harmonics of a string, open pipe or closed pipe.

Also known as: harmonic frequency, standing wave calculator, fundamental frequency, pipe resonance.

How to use this calculator

  1. Enter system, length, wave speed.
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

Open: fₙ = n·v/2L · Closed: fₙ = n·v/4L (odd n only)

Worked example

Using the values pre-filled in the calculator above:

  • System: String / open pipe (both ends)
  • Length = 0.65 m
  • Wave speed = 343 m/s

the calculator returns:

  • Fundamental frequency: 263.85 Hz
  • Wavelength of fundamental: 1.3 m