Abstract: A drapery-supporting system where a track has a front portion supporting a plurality of carriers one of which is a master carrier, the track having a rear cord portion receiving part of the master carrier which is guided for movement along the rear cord portion. A control cord which extends along the rear cord portion is connected to the master carrier and extends around pulleys at the end of the track so that by moving the cord the master carrier can be moved along the track. An elongated flexible cord interconnects all of the carriers, and one of the carriers is an end carrier which is fixed so that by moving the control cord connected to the master carrier a drape supported by the carriers can be moved between open and closed positions. At the end of the track where the end carrier is located, a pulley assembly is provided for the control cord and has a swingable gate enabling carriers to be introduced into and removed from the track with the end carrier held stationary by this gate.