Culicover & Jackendoff (1997) argue that ‘left-subordinating’ and-constructions (e.g. You drink one more can of beer and I'm leaving) should be differently represented in the dimensions of syntax and semantics, being coordinate in the former, and subordinate in the latter. Here we expand on their point by showing that their case is not an isolated one, but that there are many other instances of coordination-subordination mismatches. We will show that these facts make sense within a theory of grammar such as Autolexical Grammar (Sadock 1991) in which the autonomy of different components of grammar is assumed. Given such a view it is possible to postulate primitive notions of coordination and subordination that apply equally well to various components of grammar and thus predict the possibility of coordination-subordination mismatches.