The OntoClean methodology was based on a set of formal meta-properties whose semantics were specified in S5 modal logic. One of these metaproperties, Rigidity, has come under more focused scrutiny by the ontology community, and several problems with the formalization have been discussed along with several solutions. In this paper, we attempt to reconcile these results in a larger framework that exposes different kinds of rigidity, as well as two new metaproperties, actuality and permanence, which deal more specifically with the (...) behavior of properties with respect to time and existence. (shrink)