Paritian

Physics

Beat Frequency and Tuning Calculator

Beat rate between two close frequencies, the time between beats, and the interval in cents.

Results

Beat frequency 3.0000 Hz
Time 0.33333 s
Frequency 441.5000 Hz
Interval in cents 11.764

What this tool does

Two notes a few hertz apart produce a slow throbbing at exactly their difference, and that is how a piano is tuned by ear: adjust until the beating stops. Cents give the same gap in musical terms — one hundred cents is a semitone, and about five cents is the smallest difference most people can hear.

Formula

f beat = |f₁ − f₂|

Variables

SymbolMeaningUnit
f1FrequencyHz
f2FrequencyHz
FBBeat frequencyHz
PDTimes
FMFrequencyHz
CEInterval in cents

Worked example

  • Frequency440 Hz
  • Frequency443 Hz
  • Beat frequency3.0000 Hz
  • Time0.33333 s
  • Frequency441.5000 Hz
  • Interval in cents11.764

Limitations

  • The formula assumes ideal conditions: no friction losses, no air resistance and no efficiency losses unless you enter them.
  • The calculation runs at full precision and only the display is rounded. If you copy an intermediate value and retype it, small differences can appear.