[Nick Zwar]

There really isn’t anything right or wrong about which criteria one uses (all the ones mentioned so far seem fine to me), but there’s always the strive to find some sort of broad, semi-objective criteria that can function as umbrella categories for more specific sub criteria

Fully agree, because we look for patterns and meaning.
Though I think the evaluation of art in general and music in particular is basically subjective. I don’t see how anything can be evaluated objectively, as value is bestowed and not inherent, and as such always dependent on personal preferences.