Indeed, the progression of precursory magic is backward rather than forward. Anything after that "level" of magic would enter our concept of magic as now, and in the future, magic = highly advanced science.
Magic would classified from it's previous generation to it's current generation. Each magical generation would dwindle in the rise of technology, as technology would rely on convenience and dismantling the mysteries of magic, which empowers certain types of magic, in fact. If you're an author, perhaps you have seen some universes where magic's influence decreases when science or pseudo-magic (scientific magic/ magical science) increases in demand. Damn it, entropy!
I mean, there was a certain practiced "sorcery" in real life where only few people are allowed to know of said "name", "mystery", and "symbol" to empower it's influence over them and reality. If such "sorcery" was made public, it would lose it's effectiveness or "meaning".