Two-layer multi-strand cord, comprising: - an internal layer of the cord made up of an internal strand having three layers (C1, C2, C3) comprising: • an internal layer made up of Q=2, 3 or 4 internal threads wound with a pitch p1, the internal layer being wound in an internal layer direction of the internal strand, • an intermediate layer made up of M intermediate threads, wound around the internal layer with a pitch p2', the intermediate layer being wound in an intermediate layer direction of the internal strand, and • an external layer made up of N external threads wound around the intermediate layer with a pitch p3, - an external layer of the cord made up of L>1 external strands having at least two layers (C1', C3') comprising: • an internal layer (C1') made up of Q' internal thread(s) (F1') and • an external layer (C3') made up of N' external threads (F3') wound around the internal layer (C1'), wherein: - p1 is different from p2 and/or the internal layer direction of the internal strand is different from the intermediate layer direction of the internal strand; - the external layer of the cord is wound around the internal layer of the cord in a direction of winding of the cord; - the intermediate layer of the internal strand is desaturated; - the external layer of the internal strand is desaturated; characterized in that - each external layer (C3, C3') of each internal and external strand (TI, TE) is wound respectively around the intermediate and internal (C1') layer of each internal and external strand (Tl, TE) respectively in a same direction of winding that is the opposite of the direction of winding of the cord; - the external layer of the cord is desaturated; and - the pitches p2 and p3 satisfy the relationship: - 0.36 ≤ (p3-p2)/p3 ≤ 0.45 in instances in which Q=2, - 0.35 ≤ (p3-p2)/p3 ≤ 0.42 in instances in which Q=3, - 0.36 ≤ (p3-p2)/p3 ≤ 0.43 in instances in which Q=4. - an internal layer of the cord made up of an internal strand having three layers (C1, C2, C3) comprising: • an internal layer made up of Q=2, 3 or 4 internal threads wound with a pitch p1, the internal layer being wound in an internal layer direction of the internal strand, • an intermediate layer made up of M intermediate threads, wound around the internal layer with a pitch p2', the intermediate layer being wound in an intermediate layer direction of the internal strand, and • an external layer made up of N external threads wound around the intermediate layer with a pitch p3, • an internal layer made up of Q=2, 3 or 4 internal threads wound with a pitch p1, the internal layer being wound in an internal layer direction of the internal strand, • an intermediate layer made up of M intermediate threads, wound around the internal layer with a pitch p2', the intermediate layer being wound in an intermediate layer direction of the internal strand, and • an external layer made up of N external threads wound around the intermediate layer with a pitch p3, - an external layer of the cord made up of L>1 external strands having at least two layers (C1', C3') comprising: • an internal layer (C1') made up of Q' internal thread(s) (F1') and • an external layer (C3') made up of N' external threads (F3') wound around the internal layer (C1'), • an internal layer (C1') made up of Q' internal thread(s) (F1') and • an external layer (C3') made up of N' external threads (F3') wound around the internal layer (C1'), - p1 is different from p2 and/or the internal layer direction of the internal strand is different from the intermediate layer direction of the internal strand; - the external layer of the cord is wound around the internal layer of the cord in a direction of winding of the cord; - the intermediate layer of the internal strand is desaturated; - the external layer of the internal strand is desaturated; characterized in that - each external layer (C3, C3') of each internal and external strand (TI, TE) is wound respectively around the intermediate and internal (C1') layer of each internal and external strand (Tl, TE) respectively in a same direction of winding that is the opposite of the direction of winding of the cord; - the external layer of the cord is desaturated; and - the pitches p2 and p3 satisfy the relationship: - 0.36 ≤ (p3-p2)/p3 ≤ 0.45 in instances in which Q=2, - 0.35 ≤ (p3-p2)/p3 ≤ 0.42 in instances in which Q=3, - 0.36 ≤ (p3-p2)/p3 ≤ 0.43 in instances in which Q=4. - 0.36 ≤ (p3-p2)/p3 ≤ 0.45 in instances in which Q=2, - 0.35 ≤ (p3-p2)/p3 ≤ 0.42 in instances in which Q=3, - 0.36 ≤ (p3-p2)/p3 ≤ 0.43 in instances in which Q=4.