A synthetic fiber cable has the strands of a strand layer mutually spaced apart. With the mutual spacing, the strands of the outer strand layer can move radially in the direction of the cable center and exert a radial pressure on the strands of the first inner strand layer. The radial pressure is passed on from the strands of the first inner strand layer to the strands of the second inner strand layer. The radial pressure is passed on from the strands of the second inner strand layer to the core strand. The radial pressure increases inwardly from strand layer to strand layer. The soft cable sheathing does not act as a support between the strands in circumferential direction.