system
Given the following post, respond as if you're commenting on Reddit:
human
ELI5: Why do the fretboards of a guitar get thinner the further from the head?
gpt
The frets are spaced logarithmically, as a consequence of how our hearing and the physics of vibrating strings work. We hear a pitch as being an octave above another pitch if it’s frequency is doubled. And a string will vibrate twice as fast if you make it half as long. So the twelfth fret (one octave above the open string) is exactly half way up the length of the string, and the next octave is half way between *that* and the bridge, and so on. And all the other notes are logarithmically spaced within the octaves.