basic

Closed (Stopped) Organ-Pipe Harmonic Frequencies Calculator

fₙ = (2n−1)·v / 4L — only odd harmonics.

Compute the first four harmonic frequencies of a closed (stopped) pipe of length L: only odd harmonics are present, f₁ = v/4L, f₃ = 3v/4L, f₅ = 5v/4L, f₇ = 7v/4L. v is the speed of sound (default 343 m/s at 20 °C dry air). Stopped pipes sound an octave lower than open pipes of the same length.

Daniel Oh By Daniel Oh
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

fₙ = (2n−1)·v/4L, n = 1,2,3,4.

In depth

Compute the first four harmonic frequencies of a closed (stopped) pipe of length L: only odd harmonics are present, f₁ = v/4L, f₃ = 3v/4L, f₅ = 5v/4L, f₇ = 7v/4L. v is the speed of sound (default 343 m/s at 20 °C dry air). Stopped pipes sound an octave lower than open pipes of the same length.