A support is configured to support and apply a constant or near-constant tension onto a wire or string, such as a musical string of a stringed musical instrument. The wire is attached to a carrier that moves axially. One or more springs operate between the carrier and a point that is fixed relative to the carrier and apply a transverse spring force to the carrier. A spring angle is defined between a line normal to the axis and a line of action of each spring. The transverse spring force can have an axial force component and an axial spring rate that is a function of the spring angle. The carrier can be positioned so that the axial spring rate is zero, negative or positive. A primary spring can apply a primary force directed coaxial with the wire. If the wire changes in length the primary force will correspondingly change, as will the axial force component. The transverse spring can be selected so that the axial force component of the transverse spring approximates the change in the force applied by the primary spring so that the axial force applied to the carrier and wire remains generally constant.