Abstract: Various methods and devices are provided for remodeling a heart's ventricular walls and improving of the function of the atrioventricular valves from within the ventricle or atrium through the use of tensioning structures. In one embodiment, a device for stabilizing a ventricle is provided and can include a superior tension member having a substantially arcuate shape that is sized and configured to improve a functioning of atrioventricular valve leaflets. The device can also include a descending tension member extending inferiorly from at least a portion of the superior tension member that is shaped to correspond to a wall of a ventricular cavity. The device can further include a plurality of anchors provided at least on the descending tension member that have attachment features for holding a wall of a ventricular cavity to the descending tension member.