Beat Frequency Calculator Formula

Understand the math behind the beat frequency calculator. Each variable explained with a worked example.

Formulas Used

Beat Frequency

beat_freq = abs(f1 - f2)

Beat Period

beat_period = 1 / abs(f1 - f2)

Variables

VariableDescriptionDefault
f1Frequency 1(Hz)440
f2Frequency 2(Hz)443

How It Works

Beat Frequency

When two waves of slightly different frequencies overlap, they produce a pulsating amplitude variation called beats.

Formula

f_beat = |f1 - f2|

The beat period is T_beat = 1 / f_beat. Beats are commonly used by musicians to tune instruments.

Worked Example

Two tuning forks at 440 Hz and 443 Hz played together.

f1 = 440f2 = 443
  1. 01f_beat = |f1 - f2|
  2. 02f_beat = |440 - 443|
  3. 03f_beat = 3 Hz
  4. 04T_beat = 1 / 3 = 0.333 s

Ready to run the numbers?

Open Beat Frequency Calculator