Slugs on hierarchical taxonomies

I would suggest not using Pages, leaving them to more standard “static” content, and use a custom post type (eg. music).

Since you do have content on all 3 levels, you might want to use a hierarchical custom post type, where the author is the parent content, albums are the author’s children and tracks are albums’ children.

In general though, using custom taxonomies (eg. albums, authors) creates a more organized and readily usable structure, rather than a bulky series of parents and children.

There is also another option, using a plugin “Enhanced Category Pages” that turns your terms into “real content”, however it hasn’t been updated in a while.