Artificial Intelligence
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why do harmonics form humps in a spectrum

Harmonics are multiples of the fundamental frequency that is being produced by a sound source. These harmonics can be seen as peaks or humps in a spectrum because they represent the different frequencies that are present in the sound. When a sound is produced, it is made up of a combination of different frequencies, with each frequency having a different amplitude. The fundamental frequency (the lowest frequency) will have the highest amplitude, followed by the second harmonic (twice the fundamental frequency), which will have a lower amplitude, and so on for higher order harmonics. When these different frequencies are graphed on a spectrum, they appear as distinct peaks or humps at the specific frequency values. The higher the order of the harmonic, the smaller the amplitude and the narrower the peak. This is why harmonics are often seen as humps in the spectrum. In addition, harmonics can also be affected by the properties of the medium through which the sound is traveling. For example, in a resonant cavity, certain harmonics may be enhanced, leading to larger humps in the spectrum at those frequencies. Overall, the formation of humps in a spectrum is a result of the presence and combination of different frequencies, with the fundamental frequency at the highest amplitude, and subsequent harmonics with decreasing amplitudes, resulting in visible peaks or humps.