Frequency beats simulator
Two nearby frequencies superpose to create a changing amplitude envelope. The beat frequency is the absolute difference |f₁ − f₂|. A smaller frequency difference produces slower beats.
Two nearby frequencies
Superposition creates a changing amplitude envelope. Move the second frequency closer to hear and see slower beats.
fbeat = |f₁ − f₂|Amplitude beats 2.0 times per second for two tones separated by this amount. The visual uses a slower musical mapping.
OpenStax · Beats ↗These are numerical illustrations. Exported values are simulation data, separate from the published human-study data in the research library.
Try this
Change the frequency difference while keeping the base tone fixed. Watch the envelope widen as the difference gets smaller. The sound button in the world adds a musical gesture; the chart itself is the numerical interference model.
What the model leaves out
This visual model adds equal-amplitude sine waves. It is not a binaural-beat treatment, hearing assessment, or evidence of a health effect.
Where the equation comes from
Superposition creates a changing amplitude envelope. Move the second frequency closer to hear and see slower beats.
OpenStax · Beats ↗