13.3 Harmonics




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- Sound waves can produce standing waves.

- Resonators can produce sounds that have more than one frequency. The lowest of these frequencies is called the fundamental frequency "f1".

- Whole number multiples of the fundamentaal frequency are called harmonics.

- On a guitar string fixed at both ends, sstanding sound waves can be produced.

λ = 2L/n and fn = nv/2L


- The two types of columns that can producce standing sound waves are pipes which are open at both ends (Open pipes) and pipes that are open at one end only (closed pipes)

- An open pipe has antinodes at both ends.. The wavelength can be determined with the equation:

fn = nv/2L


- A closed pipe has a node at the closed eend and an antinode at the open end. The wavelength can be determined with the equation:

fn = nv/4L


- Timbre is a quality of sound that dependds on the relative intensities of the frequencies.

- Beats are produced when sounds of differrent frequencies are combined. Constructive and destructive interference combine to create periods that are loud or quite.

- The frequency of the beat is the differeence in the frequencies of the two waves.


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