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WAVES & SOUND · LAB 15

Beats between frequencies

Combine two nearby frequencies and watch a rapid carrier oscillation rise and fall inside a slow beat envelope.

SIMULATIONRUNNINGINTERFERENCECONSTRUCTIVETIME0.00 s
Tone 1Tone 2Resultant
BEAT FREQUENCY2.00 Hz

period 0.500 s

CARRIER FREQUENCY221.00 Hz

average frequency

FREQUENCY DIFFERENCE2.00 Hz

15.67 cents

RESULTANT0.000

0 beats elapsed

ENVELOPE2.000

WHAT TO NOTICE

Difference creates rhythm

The two fast oscillations repeatedly align and oppose. Their frequency difference sets how often the combined sound swells, while their average frequency sets the pitch inside the envelope.

fbeat = |f₁ − f₂|