Harmonic Series Calculator

Your details

Choose whether to specify the fundamental by note name or directly in Hz.
The pitch class of the fundamental note.
Octave register. A4 is concert pitch (440 Hz).
How many harmonics to calculate (1 = fundamental only, up to 64).
Fundamental frequency
440Hz

The first partial (f1 = f0); every higher partial is an integer multiple.

2nd harmonic (octave)880Hz
3rd harmonic (perfect 5th)1,320Hz
4th harmonic (2nd octave)1,760Hz
5th harmonic (major 3rd)2,200Hz
6th harmonic2,640Hz
7th harmonic (blue note)3,080Hz
8th harmonic (3rd octave)3,520Hz
Partials computed16
1st (f0)440
2nd880
3rd1,320
4th1,760
5th2,200
6th2,640
7th3,080
8th3,520

Harmonic series for A4: fundamental at 440.00 Hz, 16 partials computed.

  • Your fundamental (A4) is exactly A4 in equal temperament.
  • The 2nd harmonic (880.00 Hz) is exactly one octave higher.
  • The 5th harmonic (2200.00 Hz) approximates a major third above the second octave, but sits about 14 cents flat of equal temperament - this is the "pure major third" of just intonation.
  • The 7th harmonic (3080.00 Hz) is a natural "blue note", roughly 31 cents flat of the equal-temperament minor seventh - a hallmark interval in blues and jazz.

Next stepUse the partials table (in the schedule below) to see every overtone, its note name, and how many cents it deviates from equal temperament.

 = Powered by OnlyCalculators