In an apparatus on a carding machine having a cylinder and at least one doffer, in which the cylinder and the doffer each have an all-steel clothing having saw teeth, the clothing on the cylinder and the clothing on the doffer each have a point density per square inch (ppsi). For achieving increased production rate with the same quality or improved quality with the same production rate, the clothing on the doffer has a point density of at least 400 ppsi, and the ratio between the point density of the clothing of the cylinder and the point density of the clothing of the doffer influences the proportion of the fiber mass that is transferred from the cylinder to the doffer per revolution of the cylinder in the sense of a higher production rate or higher quality of the card.

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