Blow across a bottle and it hums a single note. That is a Helmholtz resonator — a mass of air in the neck bouncing on the springy air in the cavity.
Helmholtz ResonatorLive
the resonance of a bottle
Controls
Presets
Blow across a bottle and it sings at its Helmholtz frequency. The plug of air in the neck acts as a mass and the air in the cavity as a spring, giving f = (c/2π)√(A/VL). Bigger cavities and longer necks lower the pitch — the principle behind bass ports, mufflers, and ocarinas.
Reading this result: This cavity sings near 167 Hz — a 2.05 m wavelength. Enlarge the cavity or lengthen the neck and the pitch drops, because both add to the mass-on-a-spring that sets the tone.
Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.
★ Sign in to save this setupSave your tuned setup, or drop this simulation into your own site, docs, or course page.
How it works
A Helmholtz resonator behaves like a mass-spring oscillator: the plug of air in the neck is the mass and the compressible air in the cavity is the spring, resonating at f = (c/2π)√(A/VL). Larger cavities and longer necks lower the pitch. The effect drives bass-reflex speaker ports, engine mufflers, and ocarinas.
✦
Ask the AI about this model
The math, the assumptions, real-world uses, or a code translation — explained for this exact simulation.
Is this Helmholtz resonator frequency tool really free?▾
Yes. Helmholtz Resonator runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.
Do I need to install anything?▾
No. Everything runs client-side in a modern browser — no downloads, no license, no account required to start.
Can I save or share my simulation?▾
Create a free account to save projects, and use a shareable embed or minted DOI to publish a live, interactive version anywhere.
How accurate are the results?▾
The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.