Devices for repairing and replacing a heart valve in various embodiments, the devices include at least first and second support rings connected together in a coiled configuration to abut opposite sides of a valve annulus. A replacement valve may be secured to the coil-shaped device. Various alternative fastening systems include suture fastening systems, mechanical fastening systems, shape memory alloy fastening systems and other fastening systems relying only on the resilience between adjacent coils. A method generally includes inserting a first end of the coil-shaped member through a valve annulus, rotating a first ring of the coil-shaped member into position on one side of the valve annulus and positioning at least a second ring of the coil-shaped member on an opposite side of the valve annulus.