Music has many different concepts at play, some of which are easier to conceptualize geometrically than others. Waveforms are one, but another visualization that resonated (pun semi-intended) with me was to visualize triads in three dimensions by plotting the pure sine wave of each note of the triad on its own axis as a function of time.

When you plot triads like this, you immediately see that the more harmonic a chord is, the visually simpler its graph is. This is unsurprising to anyone who knows the basics of the math behind music (simple ratios = harmonic, complex ratios = dissonant), but it's striking to actually see it drawn out like that.

I definitely would not say music is one-dimensional. Whether you're considering the interplay between intervals, the movement and manipulation of various emotions and motifs in a piece, or whatever, maybe the thing that strikes me most about music relative to other media is its arbitrary dimensionality.