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The sounds made by guitar strings are a result of them vibrating as sine curves between the bridge and the fret that is just in front of your finger. The frequency of the string's vibration depends on its length which is altered by moving your fingers. The placement of the frets is such that the length of the string is halved at the 12th fret giving an octave and, if you have a long-necked lead guitar, it is quartered at the 24th. In between, the frets are arranged so that the vibration modes of the strings go through the scale.

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