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third harmonic mode
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first three harmonic standing waves in a stretched string first three harmonic standing waves in open and closed tubes
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third harmonic mode

physics
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first three harmonic standing waves in a stretched string
first three harmonic standing waves in a stretched string Figure 4: The first three harmonic standing waves in a stretched string. Nodes (N) and antinodes (A) are marked. The harmonic number (n) for each standing wave is given on the right (see text).

In physics, a harmonic refers to a component frequency of a complex wave that is an integral multiple of the fundamental frequency. When a string vibrates, it can produce a fundamental frequency, which is the lowest frequency of vibration. Additional standing waves can be created, and these are known as harmonics.12

The third harmonic is a vibration mode where the string is divided into three equal segments, creating three loops. Its frequency is three times that of the fundamental frequency. Harmonic functions, in mathematics, are functions where the value at any point is the average of its values along any circle around that point. These functions satisfy Laplace's equation and describe equilibrium conditions like temperature or electrical charge distribution.23

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3 Britannica Sources
  1. harmonic function
  2. harmonic
  3. sound - Fundamentals and harmonics

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