Mathematical functions for angular representation.

Overtones produced by string resonance.

Overtones produced by finger technique.

In mathematics, the cylindrical harmonics are a set of linearly independent functions that are solutions to Laplace's differential equation, , expressed in cylindrical coordinates, ρ (radial coordinate), φ (polar angle), and z (height).

This is a table of orthonormalized spherical harmonics that employ the Condon-Shortley phase up to degree .

The scale of harmonics is a musical scale based on the noded positions of the natural harmonics existing on a string.

In mathematics, vector spherical harmonics are an extension of the scalar spherical harmonics for use with vector fields.

In special functions, a topic in mathematics, spin-weighted spherical harmonics are generalizations of the standard spherical harmonics and—like the usual spherical harmonics—are functions on the sphere.