interpretation an explanation of something that is not immediately obvious; "the edict was subject to many interpretations"; "he annoyed us with his interpreting of parables"; "often imitations are extended to provide a more accurate rendition of the child's intended meaning"
misconstrual,
misconstruction a kind of misinterpretation resulting from putting a wrong construction on words or actions (often deliberately)
misunderstanding -
an understanding of something that is not correct; "he wasn't going to admit his mistake"; "make no mistake about his intentions"; "there must be some misunderstanding--I don't have a sister"