The interaction of the continuous and the discrete in aesthetic perception and creativity is shown to lead to the formation of a hierarchy of zone structures akin to musical scales. The hierarchical relations between operations, actions and activities underlying the formal features of the scaling processes in the arts are treated from the viewpoint of the general theory of activity. The formal synthesis of discreteness and continuity in a work of art is related to the meaning and sense of aesthetic message passed in conscious and unconscious communication. The fusion of the continuous and discrete sides of communication through the psychological mechanism of a set is discussed in brief.