Skip to content
Calculator Tools
Waves & Sound Calculators

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.

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.

Resonance Frequency 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