Calculate fundamental frequency from wave speed, wavelength, string length, tension, density, pipe length, or audio, plus pitch and harmonics.

Enter the known quantities.

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Fundamental Frequency Formula

For an ideal uniform tube open at both ends, the fundamental frequency is:

f = v / (2L)
  • Where f is the fundamental frequency (Hz)
  • v is the speed of the wave
  • L is the length of the tube the sound wave is traveling through.

For a tube open at both ends, divide wave speed by twice the effective tube length: f = v/(2L). For a tube closed at one end, use f = v/(4L). The calculator can add an approximate correction for each unflanged open end.

Fundamental Frequency Definition

A fundamental frequency is the lowest resonant frequency of a system. Its value depends on wave speed, geometry and boundary conditions.

Fundamental Frequency Example

How to calculate the fundamental frequency of a tube open at both ends?

  1. First, determine the speed of the wave.

    Calculate the velocity of the sound wave.

  2. Next, determine the length of the tube.

    Measure the length of the tube.

  3. Finally, calculate the fundamental frequency.

    Calculate the frequency using the formula above.

FAQ

What is a fundamental frequency?

A fundamental frequency is the lowest frequency of the system that is resonating. This frequency is used in both physics and music.

How is fundamental frequency calculated?

For an ideal uniform tube open at both ends, f = v/(2L). For a tube closed at one end, f = v/(4L). Here v is wave speed and L is effective tube length, including an end correction when selected.