If you're on a road trip and flip on the radio, only to hear a steady, one-note tone, you're probably not going to keep listening. That's because a single, unending tone isn't music. There's no pattern.
Noise is just a chaotic jumble of sounds. For example, noise is jackhammers echoing through a corridor of buildings while cars honk their horns randomly.
In music, patterns emerge. If you look at visual representation of music's wave patterns, it's a regular, predictable up and down series of peaks and valleys. A representation of noise, however, has irregular peaks and valleys, so there's no music. All you get is weird, unpredictable sounds that don't generally make a positive impression on the human ear. (Though of course, there's no accounting for taste – some people find discord beautiful.)