Is there a way to formalize the space of all possible aesthetics a model knows, in a way that you could randomly sample from it?

The analogy in my mind when I read this post was: you are asking a machine to paint a color, but the machine always paints the exact same shade, deterministically; and you'd like to explore different colors, but somehow you don't know anything about colors, don't know any of their names. So you don't have the language to ask for what you can't name.

Random sampling of colors (without names!) is a solved problem, because we've parameterized the entire universe of colors that can be perceived. It's just a very low dimension manifold, and there's even a computable metric on it such that unit-distances in that metric are what humans say are color differences of equal step size.

Are there more general versions of this? Like: "Here's a list of every human art in history: infer a coordinate system that uniformly metricizes every art that can ever exist?"