We propose a taxonomy for levels of automated artistic autonomy in scenarios where AI is involved in an artistic process. The resulting five levels provide a scale along which to position scenarios where human artists and AI divide responsibilities in a creative process. Different levels are defined by who is responsible for various steps within the creative process: the human artist or a machine. We envision it as a relevant step towards defining artistic responsibilities of AI, and an attempt to bring clarity in current and future discussions about the autonomy given to generative AI systems within artistic scenarios.