Tyre, comprising: - a crown surmounted by a tread, two sidewalls, two beads, each sidewall connecting each bead to the crown, - a carcass reinforcement anchored in each of the beads and extending from each bead through each sidewall and comprising textile filamentary carcass reinforcing elements, each textile filamentary carcass reinforcing element comprising at least two carcass multifilament textile plies wound in a helix one about the other with a twist R1 expressed in turns per metre, - a sidewall reinforcing reinforcement comprising textile filamentary sidewall reinforcer reinforcing elements, each textile filamentary sidewall reinforcer reinforcing element comprising at least two sidewall reinforcer multifilament textile plies wound in a helix one around the other with a twist R2 expressed in turns per metre, which tyre being characterized in that R=max(K1,i)/min(K2,j) >1 where - K1,i is the twist factor of each of the i carcass multifilament textile plies of each textile filamentary carcass reinforcing element defined by K1,i=R1.[T1,i/(1000.d1,i)] 1/2 in which T1,i, expressed in tex, is the titre of each of the i carcass multifilament textile plies and d1,i is the density of the material in which each of the i carcass multifilament textile plies is made, the twist factor K1,i of each carcass multifilament textile ply being comprised in a range of values extending from 125 to 155, the titre T1,i, of each of the i carcass multifilament textile plies being comprised in a range of values extending from 110 to 170, the twist R1 being comprised in a range of values extending from 390 to 450, - K2,j is the twist factor of each of the j sidewall reinforcer multifilament textile plies of each textile filamentary sidewall reinforcer reinforcing element defined by K2,j=R2.[T2,j/(1000.d2,j)] 1/2 in which T2,j, expressed in tex, is the titre of each of the j sidewall reinforcer multifilament textile plies and d2,j is the density of the material in which each of the j sidewall reinforcer multifilament textile plies is made, the twist factor K2,j, of each sidewall reinforcer multifilament textile ply being comprised in a range of values extending from 125 to 150, the titre T2,j of each of the j sidewall reinforcer multifilament textile plies being comprised in a range of values extending from 300 to 360, the twist R2 being comprised in a range of values extending from 240 to 300. - a crown surmounted by a tread, two sidewalls, two beads, each sidewall connecting each bead to the crown, - a carcass reinforcement anchored in each of the beads and extending from each bead through each sidewall and comprising textile filamentary carcass reinforcing elements, each textile filamentary carcass reinforcing element comprising at least two carcass multifilament textile plies wound in a helix one about the other with a twist R1 expressed in turns per metre, - a sidewall reinforcing reinforcement comprising textile filamentary sidewall reinforcer reinforcing elements, each textile filamentary sidewall reinforcer reinforcing element comprising at least two sidewall reinforcer multifilament textile plies wound in a helix one around the other with a twist R2 expressed in turns per metre, - K1,i is the twist factor of each of the i carcass multifilament textile plies of each textile filamentary carcass reinforcing element defined by K1,i=R1.[T1,i/(1000.d1,i)] 1/2 in which T1,i, expressed in tex, is the titre of each of the i carcass multifilament textile plies and d1,i is the density of the material in which each of the i carcass multifilament textile plies is made, the twist factor K1,i of each carcass multifilament textile ply being comprised in a range of values extending from 125 to 155, the titre T1,i, of each of the i carcass multifilament textile plies being comprised in a range of values extending from 110 to 170, the twist R1 being comprised in a range of values extending from 390 to 450, - K2,j is the twist factor of each of the j sidewall reinforcer multifilament textile plies of each textile filamentary sidewall reinforcer reinforcing element defined by K2,j=R2.[T2,j/(1000.d2,j)] 1/2 in which T2,j, expressed in tex, is the titre of each of the j sidewall reinforcer multifilament textile plies and d2,j is the density of the material in which each of the j sidewall reinforcer multifilament textile plies is made, the twist factor K2,j, of each sidewall reinforcer multifilament textile ply being comprised in a range of values extending from 125 to 150, the titre T2,j of each of the j sidewall reinforcer multifilament textile plies being comprised in a range of values extending from 300 to 360, the twist R2 being comprised in a range of values extending from 240 to 300.