basic

Open Organ Pipe Fundamental Frequency Calculator

f₁ = v / (2L) — both ends open.

Compute the fundamental (lowest) frequency of a cylindrical organ pipe (or open-ended flute) with both ends open from the speed of sound v and pipe length L: f₁ = v / (2L). Reports the fundamental and the next two harmonics (f₂ = 2f₁, f₃ = 3f₁). Default speed of sound is 343 m/s at 20 °C, sea level.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

m
m/s

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

f₁ = v / (2L); harmonic n: f_n = n · f₁.

In depth

Compute the fundamental (lowest) frequency of a cylindrical organ pipe (or open-ended flute) with both ends open from the speed of sound v and pipe length L: f₁ = v / (2L). Reports the fundamental and the next two harmonics (f₂ = 2f₁, f₃ = 3f₁). Default speed of sound is 343 m/s at 20 °C, sea level.