A reluctance armature includes a shaft received in a shaft hole in a torsion-proof manner. At least one carrier body is disposed around the shaft and has radial sides as viewed in a circumferential direction. Part segments are arranged on the radial sides of the carrier body and made of anisotropic soft-magnetic material to thereby establish an armature segment which, as viewed in an axial direction, is disposed between two edge elements and forms a central section.