system
Given the following post, respond as if you're commenting on Reddit:
human
[ELI5] Why do the fret spaces get smaller as you go down the neck of a guitar

My high school physics professor asked me this and I just randomly remembered. I don't think she ever told me why.
gpt
To go up one octave requires doubling the pitch, which in turn means dividing the string in half. Each time you divide something in half, you move only half the distance you did last time to divide it in half again. Each fret represents a pitch change proportion of 1/12 of an octave, but the same principle holds. The math behind it involves logarithms, i.e. one half step is 2 to the 1/12 power.