Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Educators · Beats

Beats for a bell

Built for educators teaching it to a class. Drop a live demo into a lecture or assign it as a shareable link — no lab installs. Simulate a bell live below — adjust the inputs and watch it respond, right in your browser.

Beats & SuperpositionLive

two close frequencies interfere

Controls

Two tones close in frequency add to a wave whose amplitude throbs at the difference frequency — the beats a musician hears when tuning.

Presets

Frequency 1

Frequency 2

▶ Run in Python

Data Inspector

f₁, f₂10, 11

Beat frequency1.0

Effectamplitude throb

Governing equation

f_{beat} = ∣ f_{2} - f_{1} ∣ = ∣11 - 10∣ = 1.0 Hz

Reading this result: At a 1.0 Hz beat the throb is too fast to count as a pulse; the ear stops hearing separate beats and instead hears roughness or dissonance around the 10.5 Hz average pitch.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →

Also for:Students Researchers Engineers Hobbyists & Makers K-12 Students First Responders General version →

More with Beats

Beats for a guitar string Beats for a concert hall Beats for a speaker Beats for a drum head Beats for a sound wave Beats for a piano note Beats for a noise barrier Beats for a whisper gallery

Frequently asked questions

Is this good for educators?: Yes — this version of "Beats for a bell" is framed for educators teaching it to a class. Drop a live demo into a lecture or assign it as a shareable link — no lab installs.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.