Artificial intelligence has been deployed to create competent music. Learning algorithms have been trained to occasionally create interesting music. As yet, no artificial system has demonstrated a capability to create inventive or innovative music. The paper discusses a programme of research conducted to try and identify key aspects of what innovative might mean. It then goes on to discuss similarities with AI research conducted outside the scope of music and begins a hypothesis that wow composition in music has much in common with novel solutions evoking a wow reaction in people in other fields. A short end section suggests how this common ground might offer the potential for automated musical composition likely to evoke a wow reaction in listeners.