Virtual and augmented reality, and other forms of mixed reality (MR), have become a focus of attention for companies and researchers. Before they can become successful in the market and in society, those MR systems must be able to deliver a convincing, novel experience for the users. By definition, the experience of mixed reality relies on the perceptually successful blending of reality and virtuality. Any MR system has to provide a sensory, in particular visually coherent, set of stimuli. Therefore, issues with visual coherence, that is, a discontinued experience of a MR environment, must be avoided. While it is very easy for a user to detect issues with visual coherence, it is very difficult to design and implement a system for coherence. This article presents a framework and exemplary implementation of a systematic enquiry into issues with visual coherence and possible solutions to address those issues. The focus is set on head-mounted display-based systems, notwithstanding its applicability to other types of MR systems. Our framework, together with a systematic discussion of tangible issues and solutions for visual coherence, aims at guiding developers of mixed reality systems for better and more effective user experiences.