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This brief overview explores the concept of audio beats, which occur when two tones, f1 and f2, sound together. Depending on their frequency difference, these tones can create unique auditory experiences. Tones far apart sound distinct, while those an octave apart harmonize beautifully. Close frequencies produce beats, like when f2-f1 equals 2 Hz. For instance, when two frequencies, 440 Hz and 443 Hz, are played together, they generate a beat frequency. This guide also addresses how a damaged tuning fork interacting with a 440 Hz tuning fork produces audible beats.
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Some Remarks About Beats February 27, 2009 Look up beats in the textbook or in Measured Tones.
Beats • When two tones f1 and f2 sound together, the resulting combination can sound good, bad or even horrible. • If f1 and f2 are far apart, they may sound like two separate tones. • If they are an octave apart they will sound just fine. • If they are very close to each other, the sound of audio beats will be heard.
Example: f2-f1=2 Hz. http://qbx6.ltu.edu/s_schneider/physlets/main/beats.shtml
Adding Two Tones Tone #1 Tone #2 Beat Period
N Peaks N +1 Peaks
N Peaks Tone-1 Tone-2 N +1 Peaks Some Algebra
The beat frequency is the difference between the frequencies
Two frequencies, 440 Hz. And 443 Hz. beat together. What is the beat frequency?
A tuning fork has been damaged and its frequency slightly changed. What could its altered frequency be if it produces two beats per second with a tuning fork that is known to vibrate at 440 Hz? • It could be 442 (442-440=2) • It could be 438 (440-438=2)