A circular comb unit for a combing machine for combing textile fibers, comprising a) a shaft which is rotatable about an axis of rotation, and b) a circular comb (2; 102; 117) which is fastened to the shaft, the circular comb (2; 102; 117) comprising b1) a circular comb main body (6; 104; 119) with an outer circumferential side and an inner circumferential side, wherein the circular comb main body (6; 104; 119) is equipped with fastening means (40, 41; 105; 106; 123) for the fastening of said circular comb main body (6; 104; 119) to the shaft, and b2) comb elements (9; 120) which are arranged on the outer circumferential side of the circular comb main body (6; 104; 119) and which collectively cover a combing circumferential angle segment and define a combing region of the circular comb (2; 102; 117), wherein b3) the fastening means (40, 41; 105; 106; 123) of the circular comb main body (6; 104; 119) are designed to subject the circular comb main body (6; 104; 119), in the state in which it is fastened to the shaft, to a tangential tensile force (F 1; F 3), wherein c) the circular comb unit (101; 116; 129) comprises, for the fastening of the circular comb (2; 102; 117) to the shaft, at least one mounting surface which is arranged concentrically with respect to the axis of rotation and against which the circular comb main body (6; 104; 119) bears by way of its inner circumferential side, wherein the circular comb main body (6; 104; 119) is fastened to the shaft under the action of the tangential tensile force (F 1; F 3), characterized in that d) the circular comb unit (101; 116; 129) comprises a fastening mechanism (103; 118; 3, 132) for the fastening of the circular comb main body (104; 119; 6) to the shaft and which fastening mechanism (103; 118; 3, 132) interacts with the fastening means (40, 41; 105; 106; 123), wherein the fastening mechanism (103; 118; 3, 132) comprises a counterweight (107; 121) in relation to the circular comb (102; 117; 2). a) a shaft which is rotatable about an axis of rotation, and b) a circular comb (2; 102; 117) which is fastened to the shaft, the circular comb (2; 102; 117) comprising b1) a circular comb main body (6; 104; 119) with an outer circumferential side and an inner circumferential side, wherein the circular comb main body (6; 104; 119) is equipped with fastening means (40, 41; 105; 106; 123) for the fastening of said circular comb main body (6; 104; 119) to the shaft, and b2) comb elements (9; 120) which are arranged on the outer circumferential side of the circular comb main body (6; 104; 119) and which collectively cover a combing circumferential angle segment and define a combing region of the circular comb (2; 102; 117), wherein b3) the fastening means (40, 41; 105; 106; 123) of the circular comb main body (6; 104; 119) are designed to subject the circular comb main body (6; 104; 119), in the state in which it is fastened to the shaft, to a tangential tensile force (F 1; F 3), wherein b1) a circular comb main body (6; 104; 119) with an outer circumferential side and an inner circumferential side, wherein the circular comb main body (6; 104; 119) is equipped with fastening means (40, 41; 105; 106; 123) for the fastening of said circular comb main body (6; 104; 119) to the shaft, and b2) comb elements (9; 120) which are arranged on the outer circumferential side of the circular comb main body (6; 104; 119) and which collectively cover a combing circumferential angle segment and define a combing region of the circular comb (2; 102; 117), wherein b3) the fastening means (40, 41; 105; 106; 123) of the circular comb main body (6; 104; 119) are designed to subject the circular comb main body (6; 104; 119), in the state in which it is fastened to the shaft, to a tangential tensile force (F 1; F 3), c) the circular comb unit (101; 116; 129) comprises, for the fastening of the circular comb (2; 102; 117) to the shaft, at least one mounting surface which is arranged concentrically with respect to the axis of rotation and against which the circular comb main body (6; 104; 119) bears by way of its inner circumferential side, wherein the circular comb main body (6; 104; 119) is fastened to the shaft under the action of the tangential tensile force (F 1; F 3),