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Platform motions of floating offshore wind turbines (FOWTs) are conventionally treated as structural and aerodynamic liabilities to be suppressed through platform and mooring design. This study demonstrates instead that low-Strouhal-number platform motions can potentially be exploited to improve wind farm power output. In a wind-tunnel campaign in the EPFL WiRE atmospheric boundary layer wind tunnel, using WiRE-01 miniature turbines in tandem and an in-house developed three-degree-of-freedom motion platform, we examine four single-axis motions (surge, pitch, sway, and yaw) and two coupled combinations (surge–pitch and sway–roll), over a range of low Strouhal numbers (≤ 0.21) and amplitudes and, for coupled cases, phase differences. Power measurements are combined with particle image velocimetry to link array-level performance to wake characteristics. The tested motions fall into two mechanistically distinct wake-interaction regimes. In the pulsation regime, surge and small-amplitude pitch drive alternating wake expansion and contraction without significantly altering the mean wake, so the downstream rotor remains in the high-deficit core with no net power benefit here. In the displacement regime, sway, yaw, roll, and large-amplitude pitch steer or deflect the wake while enhancing turbulent mixing, exposing the downstream rotor to high-momentum flow and producing consistent gains. For coupled motions, the phase difference governs which regime dominates: in-phase sway–roll coupling maximizes both wake displacement and mixing, achieving the largest measured farm power gain of +15.2%, whereas out-of-phase coupling suppresses both. In-plane motions such as sway and roll also incur substantially lower power fluctuations than out-of-plane motions (e.g., pitch), owing to their limited effect on axial induction, indicating a favorable balance between power gain and grid stability. These findings reveal the potential of low-Strouhal-number FOWT platform motion as an exploitable aerodynamic resource and open a path toward motion-regulation strategies in future floating wind farms.