Pipe Harmonics Calculator

Compute harmonics of open pipe f_n = nv/(2L) and closed pipe f_n = nv/(4L) (n odd).

Input Data

Sound speed v

m/s

Pipe length L

Results

Open fundamental f₁

343Hz

Open 2nd f₂

686Hz

Open 3rd f₃

1,029Hz

Closed fundamental f₁

171.5Hz

Closed 3rd f₃

514.5Hz

Closed 5th f₅

857.5Hz

Note

open f₁=343.00 Hz; closed f₁=171.50 Hz

At a glance:Pipe Harmonics Calculator: enter parameters to compute results; complements related calculators.

Formula

Open: f_n = n v / (2L), n=1,2,3…

Closed: f_n = n v / (4L), n=1,3,5…

How to Use

Enter sound speed v.
Enter pipe length L.
Get harmonics for open and closed pipes.

Case Studies

v=343, L=0.5 m

Open f₁=343 Hz; closed f₁=171.5 Hz.

FAQ

Why closed pipe only odd?

Closed end is a node, open end an antinode; only odd harmonics fit.

Related Tools

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聲速

References

Reference (Wikipedia)

Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.