Consider the following two versions of a question:1
Version 1: What is the difference in meaning between "[to be] not invited" and similar negation forms?
Version 2: What is the difference in meaning among "[to be] not invited" and similar negated forms?
Personally, I think Version 1 might subtly suggest a Star Topology (see below) with the target sentence
"[to be] not invited"at the center. And Version 2 might subtly suggest a more free-form comparison like the Mesh or Fully Connected, with the target sentence simply "one among many":
Between approx equal "Star" and among approx equal "Fully Connected"?
Don't get me wrong: I do think this is quite subtle, not always applicable, and I don't think anyone would intuit such a "network topology" meaning without further explanation.
So the main question is, are both grammatically correct? If yes, is there a semantic difference to choose one over another, perhaps as I suggested? Or does the plurality aspect of between and among trump other semantic and stylistic issues?
1. In my question
https://ell.stackexchange.com/questions/26520/does-placement-of-not-have-significance-not-to-be-verb-to-not-be-verb-to-be, another user provided a very helpful edit. However, the change of the word between to among prompted this question.