Two-layer multi-strand cord, comprising: - an internal layer of the cord made up of an internal strand (Tl) having at least two layers (C1, C3) comprising: • an internal layer made up of Q internal thread(s) and • an external layer made up of N external threads wound around the internal layer, - an external layer of the cord made up of L>1 external strands having three layers (C1', C2', C3') comprising: • an internal layer (C1') made up of Q'=2, 3 or 4 internal threads (F1') wound with a pitch p1', the internal layer (C1') being wound in an internal-layer (C1') direction of each external strand, • an intermediate layer (C2') made up of M' intermediate threads (F2'), wound around the internal layer (C1') with a pitch p2', the intermediate layer (C2') being wound in an intermediate-layer (C2') direction of each external strand, and • an external layer (C3') made up of N' external threads (F3') wound around the intermediate layer (C2') with a pitch p3', wherein: - p1' is different from p2' and/or the internal-layer (C1') direction of each external strand is different from the intermediate-layer (C2') direction of each external strand; - the external layer of the cord is wound around the internal layer of the cord in a direction of winding of the cord; - each external layer (C3, C3') of each internal and external strand (Tl, TE) is wound respectively around the internal and intermediate (C2') layer of each internal and external strand (Tl, TE) respectively in the same direction of winding that is the opposite of the direction of winding of the cord; - the external layer of the cord is desaturated; - the intermediate layer (C2') of each external strand is desaturated; - the external layer (C3') of each external strand is desaturated; and - the pitches p2' and p3' satisfy the relationship: 0.33 ≤ p3 ′ − p2 ′ /p3 ′ ≤ 0.45 in instances in which Q'=2, 0.35 ≤ p3 ′ − p2 ′ /p3 ′ ≤ 0.42 in instances in which Q'=3, 0.28 ≤ p3 ′ − p2 ′ /p3 ′ ≤ 0.43 in instances in which Q'=4. - an internal layer of the cord made up of an internal strand (Tl) having at least two layers (C1, C3) comprising: • an internal layer made up of Q internal thread(s) and • an external layer made up of N external threads wound around the internal layer, • an internal layer made up of Q internal thread(s) and • an external layer made up of N external threads wound around the internal layer, - an external layer of the cord made up of L>1 external strands having three layers (C1', C2', C3') comprising: • an internal layer (C1') made up of Q'=2, 3 or 4 internal threads (F1') wound with a pitch p1', the internal layer (C1') being wound in an internal-layer (C1') direction of each external strand, • an intermediate layer (C2') made up of M' intermediate threads (F2'), wound around the internal layer (C1') with a pitch p2', the intermediate layer (C2') being wound in an intermediate-layer (C2') direction of each external strand, and • an external layer (C3') made up of N' external threads (F3') wound around the intermediate layer (C2') with a pitch p3', • an internal layer (C1') made up of Q'=2, 3 or 4 internal threads (F1') wound with a pitch p1', the internal layer (C1') being wound in an internal-layer (C1') direction of each external strand, • an intermediate layer (C2') made up of M' intermediate threads (F2'), wound around the internal layer (C1') with a pitch p2', the intermediate layer (C2') being wound in an intermediate-layer (C2') direction of each external strand, and • an external layer (C3') made up of N' external threads (F3') wound around the intermediate layer (C2') with a pitch p3', - p1' is different from p2' and/or the internal-layer (C1') direction of each external strand is different from the intermediate-layer (C2') direction of each external strand; - the external layer of the cord is wound around the internal layer of the cord in a direction of winding of the cord; - each external layer (C3, C3') of each internal and external strand (Tl, TE) is wound respectively around the internal and intermediate (C2') layer of each internal and external strand (Tl, TE) respectively in the same direction of winding that is the opposite of the direction of winding of the cord; - the external layer of the cord is desaturated; - the intermediate layer (C2') of each external strand is desaturated; - the external layer (C3') of each external strand is desaturated; and - the pitches p2' and p3' satisfy the relationship: 0.33 ≤ p3 ′ − p2 ′ /p3 ′ ≤ 0.45 in instances in which Q'=2, 0.35 ≤ p3 ′ − p2 ′ /p3 ′ ≤ 0.42 in instances in which Q'=3, 0.28 ≤ p3 ′ − p2 ′ /p3 ′ ≤ 0.43 in instances in which Q'=4.