It seems to me like where a period would be too strong and I want the clause after to be considered equally at the same time or possibly as a counterbalanced thing to whatever is to the left of it
If it were to parse it purely linguistically, it seems like not quite a list of things but perhaps a relevant after thought that a comma would be too weak for and a period too strong


An elegant example that I like is “TL;DR” (or “Too Long; Didn’t Read”). Each of those clauses could stand independently, with a full stop between them, but the semicolon makes it clearer that the reason why one wouldn’t read something is directly related to it being too long.
Too long. Didn’t read.
^ kinda feels like two separate comments. Semicolon makes clear they’re connected.