Considerations regarding predication in ordinary language as well as the ontology of relations suggest a refinement of the Ontological Square, a conceptual scheme used in many foundational ontologies and which consists of particular substrates as well as their types on the one hand and particular attributes as well as their types on the other hand. First, the distinction between particulars and universals turns out to be one of degree, since particulars are merely the least elements in the subsumption hierarchy. Second, relations may be analysed in terms of roles as ways of participating in events. In consequence, the Logic of the Ontological Square proposed in [1,2] has to be revised accordingly.