gen-in-3-4-sentences-explain-overtones-and-timbre-state-any-key-edc8

In 3-4 sentences, explain overtones and timbre. State any key formula.

Overtones are frequencies above the fundamental frequency that occur at integer multiples of the fundamental, mathematically expressed as **f_n = nf₁** where n = 1, 2, 3, ... and f₁ is the fundamental frequency. Timbre is the characteristic quality or "color" of a sound that allows us to distinguish between different instruments playing the same note at the same loudness. The unique timbre of each instrument is determined by the specific combination and relative amplitudes of its overtones. For example, a violin and piano playing the same note have different timbres because they produce different patterns of overtones.