The torsionally flexible MMD and MMG couplings provide axial, radial and angular flexibility. Designed as claw couplings, they are positive locking and fail-safe. This is in conjunction with transmission elements that are subjected to compression. All MMD and MMG couplings have progressive torsional characteristics and excellent damping properties. This is so that shock loads are absorbed quickly. All coupling types allow the changing of the flexible transmission elements. There is no need for axial movement of a coupled machine part.