Frequência de Batimento

f_bat = |f₁ − f₂|.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

f_bat
4,00 Hz

Formula

batimento

About this calculator

The beat frequency calculator determines the resulting frequency from the superposition of two sound waves with close frequencies. The beat phenomenon occurs when two waves with slightly different frequencies interfere, producing periodic variations in amplitude, perceived as sound pulses. This tool is useful for musicians, audio engineers, and physics students who need to analyze or adjust frequencies.

The calculation is simple: subtract the smaller frequency from the larger one. The absolute difference between the two frequencies (f1 and f2) gives the beat frequency. For example, if f1 = 440 Hz and f2 = 444 Hz, the beat is 4 Hz, meaning four pulses per second. The smaller the difference, the slower the beat; the larger, the faster.

Use this calculator in situations such as tuning musical instruments, where beats indicate detuning, or in acoustics experiments to measure small frequency differences. It is also useful in radar or ultrasound systems, where beats can detect motion or velocity.

Precautions: frequencies must be positive and in Hertz. The formula assumes pure sine waves and does not consider attenuation or reflection. In real scenarios, beats may be masked by noise or harmonics. Use the calculator as a learning tool, but verify results with appropriate equipment for critical applications.

Frequently asked questions

What does beat frequency mean?

It is the frequency at which the amplitude of the resulting wave varies, equal to the difference between the two original frequencies. For example, 4 Hz means 4 pulses per second.

How to use this calculator to tune an instrument?

Play the instrument's note together with a tuning fork or reference. If there is a beat, adjust the instrument until the beat disappears (zero difference).

Can I use it for non-sound waves?

Yes, the beat phenomenon occurs in any type of wave (electromagnetic, mechanical) as long as there is superposition of close frequencies.

What is the unit of beat frequency?

Hertz (Hz), which represents cycles per second.

What happens if the frequencies are equal?

The beat frequency is zero, meaning no pulsation; the waves add constructively in a constant manner.

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