One way of considering this question is to compare music as heard through the ears and music as remembered. I can bring a piece of music to life in my mind from memory. It does not have all the experiential dimensions of heard music, but it has many of them. Neurological research has shown that hearing music and remembering music generate very similar patterns of stimulation in the brain. If a substantial chunk of musical experience is a cognitive one, then the next question is: Can we induce a cognitive experience of music in the mind through visual stimulation. What aspects of music are not conjured up with the memory of music? Are there other ways of stimulating these?
In a seeing and hearing person, the visual cortex occupies more of the brain than the auditory cortex. From the simple standpoint of capacity, it would seem that there is more than enough capacity in the visual cortex to handle the information flow represented in a piece of music. On the other hand, the visual cortex seems much more specifically tuned to solving the particular problems of vision than the auditory cortex is to the problems of hearing, so the extra capacity may largely be dedicated to very specialized tasks in the processing of vision. While music may have a substantially cognitive existence, it may be that vision processing is not well suited to processing musical form
In order to consider this question, we need to compare the expressive dimensions of vision and sound to look for compatibilities and incompatibilities.