This paper concerns the use of forms in -gɐ and -gɐjɐ in contemporary Ossetic. Our aim is to produce a typologically informed and fine-grained account of both the syntax and semantics of these two formatives. As we will show, the main difference is that while the form in -gɐ is a participle-converb (with a wide range of uses), the form in -gɐjɐ is a converb proper. At the same time, there are a number of surprising syntactic effects and subtle semantic differences. We will provide a general description of the uses of the two forms and of some of the typologically interesting facts associated with them, and an explanation of the facts observed.