A circular comb for a combing machine for combing textile fibers and for fastening to a shaft, which is rotatable about an axis of rotation, of the combing machine, comprising a) a circular comb main body (6; 30; 61; 73) with an outer circumferential side and an inner circumferential side, b) multiple combing bars which are arranged on the outer circumferential side of the circular comb main body (6; 30; 61; 73) and which collectively cover a combing circumferential angle segment and define a combing region of the circular comb (2; 29), wherein c) at least two outer contact strips (16, 17; 32, 33) per combing bar are provided on the outer circumferential side of the circular comb main body (6; 30; 61; 73), which outer contact strips run axially in the direction of the axis of rotation and are spaced apart from one another tangentially in relation to the axis of rotation and form combing bar contact surfaces against which the respective combing bar bears, d) inner contact strips (20, 21, 22; 34) are provided on the inner circumferential side of the circular comb main body (6; 30; 61; 73), which inner contact strips run axially in the direction of the axis of rotation, project radially inwardly in relation to the axis of rotation, are spaced apart from one another tangentially in relation to the axis of rotation and, at least within the combing region, form the only shaft mounting contact surfaces of the circular comb main body (6; 30; 61; 73) for direct or indirect contact with or connection to the shaft, wherein e) at least some of the outer contact strips (16, 17; 32, 33) are assigned to in each case one of the inner contact strips (20, 21; 34) and, with the latter, form in each case one strip pair (24, 25; 35, 36), wherein the outer contact strips (16, 17; 32, 33) and the inner contact strips (20, 21; 34) of each of the strip pairs (24, 25; 35, 36) at least partially overlap in terms of their tangential extent, characterized in that in each case at least two strip pairs (24, 25; 35, 36) are provided per combing bar, and f) in each case two strip pairs (24, 25; 35, 36) in the form of edge strip pairs are provided per combing bar, wherein, in each of the edge strip pairs, a tangential spacing (φ 1, φ 2) of a tangential bar edge (26, 27) of the respective combing bar is smaller than a tangential spacing (φ 3) between the two edge strip pairs. a) a circular comb main body (6; 30; 61; 73) with an outer circumferential side and an inner circumferential side, b) multiple combing bars which are arranged on the outer circumferential side of the circular comb main body (6; 30; 61; 73) and which collectively cover a combing circumferential angle segment and define a combing region of the circular comb (2; 29), wherein c) at least two outer contact strips (16, 17; 32, 33) per combing bar are provided on the outer circumferential side of the circular comb main body (6; 30; 61; 73), which outer contact strips run axially in the direction of the axis of rotation and are spaced apart from one another tangentially in relation to the axis of rotation and form combing bar contact surfaces against which the respective combing bar bears, d) inner contact strips (20, 21, 22; 34) are provided on the inner circumferential side of the circular comb main body (6; 30; 61; 73), which inner contact strips run axially in the direction of the axis of rotation, project radially inwardly in relation to the axis of rotation, are spaced apart from one another tangentially in relation to the axis of rotation and, at least within the combing region, form the only shaft mounting contact surfaces of the circular comb main body (6; 30; 61; 73) for direct or indirect contact with or connection to the shaft, wherein e) at least some of the outer contact strips (16, 17; 32, 33) are assigned to in each case one of the inner contact strips (20, 21; 34) and, with the latter, form in each case one strip pair (24, 25; 35, 36), wherein the outer contact strips (16, 17; 32, 33) and the inner contact strips (20, 21; 34) of each of the strip pairs (24, 25; 35, 36) at least partially overlap in terms of their tangential extent, characterized in that in each case at least two strip pairs (24, 25; 35, 36) are provided per combing bar, and f) in each case two strip pairs (24, 25; 35, 36) in the form of edge strip pairs are provided per combing bar, wherein, in each of the edge strip pairs, a tangential spacing (φ 1, φ 2) of a tangential bar edge (26, 27) of the respective combing bar is smaller than a tangential spacing (φ 3) between the two edge strip pairs.