Quote Originally Posted by The Summoner of Leviathan View Post
foa forgot to say that both clauses have to be independent clauses, which are clauses that can be complete sentences on their own; these differ from subordinate clauses which cannot stand on their own by virtue of not being a complete sentence.
This is what I had learned, though I've been paying particular attention to grammatical coloring as I read lately, and I've noticed the use of the semicolon by some authors following an independent clause and preceding a fragment.

I cannot reconcile this with any proper rules, yet there is lies on the page. I personally find it very fitting. I often have a sentence fragment that is an afterthought of a previous sentence where I would personally find it very befitting to add a semicolon to tie the ideas together without creating a whole new sentence or independent clause to add the secondary idea.