inappositeness

noun

1. (uncountable)The state or quality of not being apposite.

   “And certainly an apt quotation is one of the most effective decorations of a public speech; but the dangers of inappositeness are correspondingly formidable.”

   “To men and women excited by the details of the last murder they discourse of the existence of God in short, crisp sentences,--and I know not which is worse, the triviality of the discourse or its inappositeness.”

   “‘And then, your uncle made an inaugural speech at his first press conference which was of fantastic inappositeness.’”