It is widely assumed that the aoidoi, the original performers of Homeric poetry or its antecedents, sang a chant restricted to three or four notes, to the accompaniment of a 4-stringed instrument (Danek and Hagel 1995, Marshall 2002). The prestigious later performers from classical times, the rhapsodes, did not have the instrument, and the vocal characteristics of their performances are quite uncertain. In this paper I will discuss various aspects of a conjectured rhapsodic style, based on the reconstruction of the Ancient Greek pitch accent by Devine and Stephens (1994), together with some consideration of issues concerning the hexameter rhythm. For some initial orientation, it might be useful to listen to the short sample on the CD accompanying this issue; various features of the style will be discussed with reference to that.