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Open and Closed Pipe Resonance Harmonics Calculator

Open: f_n = nv/2L; Closed: f_n = (2n−1)v/4L.

Calculates the first three resonant harmonic frequencies for both open (both ends open) and closed-one-end organ pipes. Essential for acoustic design and musical instruments.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

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

Open: f_n = n·v/(2L); Closed (odd only): f_n = (2n−1)·v/(4L)

In depth

Calculates the first three resonant harmonic frequencies for both open (both ends open) and closed-one-end organ pipes. Essential for acoustic design and musical instruments.