Beat Frequency of Sound Waves

Adjust the sliders to explore the relationship between the difference in frequencies of the two component waveforms (shown dashed) and the resulting beat frequency seen in the upper plot. The red region in the upper plot is projected in the lower plot: move the "zoomed view" slider to view where the component waveforms are in phase, so that their sum reaches maximum amplitude, and where the waveforms are out of phase, so that their sum reaches minimum amplitude. The frequencies permitted by the "mean frequency" slider are audible to humans: click the "play tones" button to hear the resulting beating effect.



  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


Note that each stereo channel plays a tone of a single frequency, so that beating effect is the inteference of the soundwaves and not the speakers playing the mathematical summation of the two waveforms.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+