Articulatory gestures under phrasal prominence undergo strengthening, becoming longer, larger, and faster. Limited research, mainly on head-prominence languages, shows that prominence-induced strengthening interacts with focus structure, increasing gradually across focus types. However, it is unclear whether focus structure is encoded in edge-prominence systems. Here, we turn to Seoul Korean, an edge-prominence language, in which the focused word starts an Accentual Phrase (AP) and exhibits prominence-induced strengthening, while the post-focal items are dephrased. Analyses of kinematic duration, displacement, and velocity, examine degree of strengthening on focused AP-initial gestures and/or dephrasing on initial gestures in the first post-focal word. Results show that, in Korean, focused AP-initial strengthening reflects focus structure, although kinematic dimensions differ in the number of focus types they distinguish. Yet, the order of encoded types remains consistent and similar to that found in head-prominence languages. Post-focally, there is durational evidence of dephrasing only after contrastive focus and its reach is constrained by the number of intervening syllables. Instead, spill-over effects of focus are detected on the dimensions of displacement and velocity, indicating that focus-induced strengthening crosses word boundaries. These findings support the view that a hierarchy of prominence might emerge from the interface of prosodic structure with information structure.