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Beats
Prachyawanich (Daniel) Khotawanich
L2M Blue
17444143
What is a beat
• Constructive & deconstructive interference can be
separated by intervals of time.
• A beat is a variation in amplitude: increasing &
decreasing as a function of time as one listens to two
waves that have slightly different frequencies.
Beat
• Rate of amplitude variation is proportional to the
frequency difference.
• When frequency difference is large, we hear the
the sound as two distinct tones rather than one
tone that varies in intensity.
 Sound waves start off interfering constructively (in
phase) then when they are out of phase, they
interfere destructively
Consider the following…
• When two waves are close to each other in frequency, a
tone that has a mean frequency would be heard, whose
amplitude varies by the difference in angular frequency.
• When two separate waves tones are not close in
frequency, two separate tones would be heard.
Real life applications
• When two separate tones are heard in a headphone, with
one frequency in one ear and a different but close
frequency in the other, we still hear beats even though the
waves do not interfere outside of our head.
 This is known as BINAURAL BEATING.
 Resulting from the way our brain processes signals from
our ears rather than from any interference of the sound
waves travelling through the skull.
Real Life App.
continued…
• Beats can indicate if an instrument is out of tune
where musicians are able to adjust the tune of
their instrument by adjusting the frequency of its
notes until beating stops.
Question
• Consider the smallest change in frequency that
the human ear can detect for tones that are
played one after the other is 3 Hz for tones around
440 Hz. What beat frequency would you hear if
you played a 440 Hz and a 443 Hz tone
simultaneously?
Solution
• The amplitude of the resultant wave would be
modulated at 3 Hz.
• A 3 Hz modulation is easy to detect. At 440 Hz, it
is easy to hear beats with frequency differences
as low as 1 Hz.

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LO 6: Beats - Prachyawanich Khotawanich

  • 2. What is a beat • Constructive & deconstructive interference can be separated by intervals of time. • A beat is a variation in amplitude: increasing & decreasing as a function of time as one listens to two waves that have slightly different frequencies.
  • 3. Beat • Rate of amplitude variation is proportional to the frequency difference. • When frequency difference is large, we hear the the sound as two distinct tones rather than one tone that varies in intensity.  Sound waves start off interfering constructively (in phase) then when they are out of phase, they interfere destructively
  • 4. Consider the following… • When two waves are close to each other in frequency, a tone that has a mean frequency would be heard, whose amplitude varies by the difference in angular frequency. • When two separate waves tones are not close in frequency, two separate tones would be heard.
  • 5. Real life applications • When two separate tones are heard in a headphone, with one frequency in one ear and a different but close frequency in the other, we still hear beats even though the waves do not interfere outside of our head.  This is known as BINAURAL BEATING.  Resulting from the way our brain processes signals from our ears rather than from any interference of the sound waves travelling through the skull.
  • 6. Real Life App. continued… • Beats can indicate if an instrument is out of tune where musicians are able to adjust the tune of their instrument by adjusting the frequency of its notes until beating stops.
  • 7. Question • Consider the smallest change in frequency that the human ear can detect for tones that are played one after the other is 3 Hz for tones around 440 Hz. What beat frequency would you hear if you played a 440 Hz and a 443 Hz tone simultaneously?
  • 8. Solution • The amplitude of the resultant wave would be modulated at 3 Hz. • A 3 Hz modulation is easy to detect. At 440 Hz, it is easy to hear beats with frequency differences as low as 1 Hz.