Motorcycle tyre comprising a crown, two sidewalls and two beads, each sidewall connecting each bead to the crown, the tyre comprising a carcass reinforcement anchored in each bead and extending in each sidewall and radially on the inside of the crown, the carcass reinforcement comprising a single carcass layer, the crown comprising: - a tread intended to come into contact with the ground when the tyre is running, - a crown reinforcement arranged radially between the tread and the carcass reinforcement, the crown reinforcement comprising a single crown layer, the crown layer is axially delimited by two axial edges (18A, 18B) of the crown layer and comprises filamentary crown reinforcing elements extending axially from one axial edge (18A, 18B) to the other axial edge (18A, 18B) of the crown layer substantially parallel to one another in a main direction of each filamentary crown reinforcing element that forms, with the circumferential direction of the tyre, an angle AT, the carcass layer is axially delimited by two axial edges (34A, 34B) of the carcass layer and comprises filamentary carcass reinforcing elements extending axially from one axial edge (34A, 34B) to the other axial edge (34A, 34B) of the carcass layer, each filamentary carcass reinforcing element extending in a main direction of each filamentary carcass reinforcing element that forms, with the circumferential direction of the tyre, an angle ACS, in a portion of the carcass layer that extends axially in radial line with the crown layer, the angle AT and the angle ACS having opposite orientations, characterized in that the angle AT and the angle ACS are different in terms of absolute value, and in that one or the other of conditions I or II is met: I - the angle AT ranges, in terms of absolute value, from 10° to 25° and the angle ACS ranges, in terms of absolute value, from 20° to 65° in the portion of the carcass layer extending axially in radial line with the crown layer, II - the angle AT ranges, in terms of absolute value, from 20° to 65° and the angle ACS ranges, in terms of absolute value, from 10° to 25° in the portion of the carcass layer extending axially in radial line with the crown layer. - a tread intended to come into contact with the ground when the tyre is running, - a crown reinforcement arranged radially between the tread and the carcass reinforcement, the crown reinforcement comprising a single crown layer, the crown layer is axially delimited by two axial edges (18A, 18B) of the crown layer and comprises filamentary crown reinforcing elements extending axially from one axial edge (18A, 18B) to the other axial edge (18A, 18B) of the crown layer substantially parallel to one another in a main direction of each filamentary crown reinforcing element that forms, with the circumferential direction of the tyre, an angle AT, the carcass layer is axially delimited by two axial edges (34A, 34B) of the carcass layer and comprises filamentary carcass reinforcing elements extending axially from one axial edge (34A, 34B) to the other axial edge (34A, 34B) of the carcass layer, each filamentary carcass reinforcing element extending in a main direction of each filamentary carcass reinforcing element that forms, with the circumferential direction of the tyre, an angle ACS, in a portion of the carcass layer that extends axially in radial line with the crown layer, the angle AT and the angle ACS having opposite orientations, characterized in that the angle AT and the angle ACS are different in terms of absolute value, and in that one or the other of conditions I or II is met: I - the angle AT ranges, in terms of absolute value, from 10° to 25° and the angle ACS ranges, in terms of absolute value, from 20° to 65° in the portion of the carcass layer extending axially in radial line with the crown layer, II - the angle AT ranges, in terms of absolute value, from 20° to 65° and the angle ACS ranges, in terms of absolute value, from 10° to 25° in the portion of the carcass layer extending axially in radial line with the crown layer. I - the angle AT ranges, in terms of absolute value, from 10° to 25° and the angle ACS ranges, in terms of absolute value, from 20° to 65° in the portion of the carcass layer extending axially in radial line with the crown layer, II - the angle AT ranges, in terms of absolute value, from 20° to 65° and the angle ACS ranges, in terms of absolute value, from 10° to 25° in the portion of the carcass layer extending axially in radial line with the crown layer.