In order to improve a dobby loom having a plurality of heddle frames, in particular having a changeover device for weft threads, according to the invention the heddle frames (4, 6, 8, 10) are each connected to a linear motor, such that by means of controlling the linear motor the heddle frame (4, 6, 8, 10) can be moved from an upper maximum position to a lower maximum position and vice versa. In one embodiment, the dobby loom has a plurality of warp thread presentation means, for example color control needles (18, 20), for the selective introduction of different weft threads (40, 42) into the warp shed and for changing the weft threads (40, 42). The loom comprises a control unit for controlling the linear motors, which control unit is designed to enable the control of a specified position of the heddle frame (4, 6, 8, 10) between the upper maximum position and the lower maximum position at a predetermined point in time. Said control unit has a sensor unit by means of which the position of each of the heddle frames (4, 6, 8, 10) can be detected continuously.