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Organ Pipe Resonance Calculator

Find resonant frequencies of open and closed pipes.

Inputs

Results

Open pipe fundamental343Hz
Closed pipe fundamental171.5Hz

Chart

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How to use the organ pipe resonance calculator

Find resonant frequencies of open and closed pipes. Enter pipe length, speed of sound in the fields above; the open pipe fundamental, closed pipe fundamental are computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Open pipe fundamental (Hz) = v / (2 Γ— L)
Closed pipe fundamental (Hz) = v / (4 Γ— L)

Variables

  • L β€” Pipe length (m)
  • v β€” Speed of sound (m/s)

Worked example

With pipe length = 0.5 m, speed of sound = 343 m/s, the calculator gives open pipe fundamental β‰ˆ 343 Hz; closed pipe fundamental β‰ˆ 171.5 Hz.

Frequently asked questions

What is the formula for the organ pipe resonance calculation?

Open pipe fundamental (Hz) = v / (2 Γ— L). Closed pipe fundamental (Hz) = v / (4 Γ— L). Here L is pipe length (m), v is speed of sound (m/s).

What inputs do I need for the organ pipe resonance calculator?

You need pipe length in m, speed of sound in m/s. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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