Building on the experience of developing a CD-ROM for English intonation practice, this article explores some advantages and limitations of this medium for the teaching of suprasegmentals. Despite their undeniable potential for foreign language learning, computers prove to be rather limited in their feedback to pronunciation, especially in terms of error identification and correction, which calls into question one of their very strengths, viz. that of teacher-independent learning. As a possible solution to this dilemma, the present paper proposes to build into the design of a CD-ROM for intonation teaching the concept of learner autonomy, i.e. transferring to an increased degree responsibility for the learning process from the teacher (computer) to the learner. Drawing on the discussion of autonomy by, e.g. Broady & Kenning (1996) and Little (1999), it is demonstrated how incorporating a metacognitive level (by offering the learner the choice to access intonation in different ways) and a metalinguistic level helps to make the CD-ROM users more autonomous in their learning and equip them with the necessary tools for self-assessment and self-monitoring, which in turn can make up for the lack of computerised diagnostic feedback.