The lowest positive normal mode frequency of an oscillating system is its fundamental frequency. For an ideal uniform string of length with fixed ends and phase speed , . A spatial finite difference approximation has its own lowest positive normal mode frequency, approaching this continuous value as the grid is refined.
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Fundamental frequency refers to the lowest frequency of a periodic waveform and is often considered the primary frequency at which a system oscillates. In the context of sound, the fundamental frequency is the lowest frequency produced by a vibrating object, such as a string or a column of air in a musical instrument. It determines the pitch of the sound we perceive. In various physical systems, the fundamental frequency is essential for understanding resonance, harmonics, and the overall behavior of the system.