Back to alphabetical overview – click here

Harmonic Series – Definition

The harmonic series is the natural sequence of overtones that accompanies a fundamental pitch. These frequencies occur according to simple mathematical ratios and form the acoustic basis of musical harmony.

What is the Harmonic Series?

When a string or column of air vibrates, it produces not only the fundamental note but also a series of higher overtones called harmonics. The first harmonics include the octave, the perfect fifth, another octave, the major third, and additional intervals higher in the series.

The harmonic series explains why certain intervals sound more consonant than others and has influenced the development of tuning systems, harmony, and instrument design.

How is the Harmonic Series used in piano playing?

Although the piano is tuned using equal temperament, every note still produces its own harmonic series. Pianists can hear these overtones most clearly when using the sustain pedal, as the strings resonate sympathetically with one another.

Understanding the harmonic series helps pianists appreciate tone production, resonance, pedalling, and the acoustic principles behind the instrument’s rich sound.