Harmonic oscillators are idealized systems that physicists use to model small vibrations in molecules and mechanical structures.

In Optimality Theory, harmonic bounding occurs when one input-output mapping receives a set of constraint violations that is a proper subset of the set received by another mapping, causing the former to be excluded despite incurring fewer violations.

In the OT tableau, candidate A harmonically bound candidate B, so the grammar selected A.

To estimate the growth of the series, she compared the partial sums of harmonic numbers to the natural logarithm.

Harmonic functions often arise in physics and engineering when solving potential problems.

The violinist produced a shimmering false harmonic by lightly touching the string at the notated pitch, which yielded a higher, bell-like tone.

The violinist used natural harmonics to create a shimmering, ethereal sound during the performance.

During the rehearsal, she experimented with false harmonics to give the passage an ethereal, bell-like quality.

The violinist produced a clear natural harmonic by lightly touching the string at the midpoint.

Despite its simple form, the harmonic series 1 + 1/2 + 1/3 + ... diverges, providing a classic example of a series that defies intuition.