The problem with existing taxonomies, such as that which Droid has laid out, is that while they are useful from a music historical perspective, they are not a system of categorizing the weather, or the "vibe" that different planets give us. They are akin to a taxonomy of planets which goes, "These planets were made by the Urxan-5 civ between 14000kya and 10000kya. These planets were formed by collisions within the Nublagenesis belt." They are fine as far as establishing reference, if you know your history of the Urxans. And yet do we really understand anything about these planets habitability? The composition of their atmosphere? Is their air breathable?
My contention is that when we talk about art, as good Deweyans, what matters is whether the air is breathable, and/or what kind of toxic the atmosphere is. Thirdform, for instance, is a rare sort of creature who can only live off air that is fatal to most mammals.