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<strong class="journal-contentHeaderColor">Abstract.</strong> The wake of a laboratory-scale wind turbine model is investigated in high-detail in a wind tunnel setup under prescribed surge, sway, roll, pitch, yaw and coupled surge-pitch motions using large-eddy simulations coupled to an actuator-line model. The goal is to assess how the wake of a moving turbine evolves in a high blockage ratio scenario and how it compares with the results found in the literature for full-scale models and experiments. This manuscript also extends the state-of-the-art to more degrees-of-freedom. Two cases per degree-of-freedom are considered: one with a low Strouhal number <em>St</em> and high normalized amplitude <em>A<sup>*</sup></em>, and vice versa. Cases with low-<em>St</em>/high-<em>A<sup>*</sup></em> exhibit a wake behavior similar to the fixed-bottom case. Conversely, cases with a high-<em>St</em>/low-<em>A<sup>*</sup></em> disturb the wake to a much larger extent. The contrast is caused by differences in how much the wake amplifies the perturbations of the floating motion upstream and is particularly noticeable at the blade tip and root trails. Prescribed motions with a component perpendicular to the flow are found to have a larger impact than motions exclusively in the flow direction. Overall, the phenomena found in the literature are well captured in this setup.