A tire for a wheel rolling on an underlying surface, the tire being non-pneumatic and comprising a plurality of layers (50 1 -50 L) that are structurally different and arranged in a radial direction of the tire, wherein: - an outer one of the layers comprises an outer surface for contacting the underlying surface; - an inner one of the layers comprises an inner surface for facing an axis of rotation of the wheel; and - an intermediate one of the layers is disposed between an outwardly-adjacent one of the layers and an inwardly-adjacent one of the layers, said intermediate one of the layers is configured to decouple elastic deformations of the outwardly-adjacent one of the layers and the inwardly-adjacent one of the layers, said intermediate one of the layers comprises an elastomeric material (M Ej) and a plurality of reinforcing cables (61 1 -61 R) spaced apart from one another by respective parts of its elastomeric material (M Ej) and including a metallic material and extending transversally to a circumferential direction of the tire, wherein the reinforcing cables (61 1 -61 R) extend substantially parallel to a lateral direction of the tire; wherein in the intermediate one of the plurality of layers (50 1 -50 L) respective ones of the reinforcing cables (61 1 -61 R) are spaced apart from one another in the radial direction of the tire and are arranged in a plurality of rows (67 1 -67 N) that are spaced apart from one another in the radial direction of the tire, and a diameter of a first one of the reinforcing cables (61 1 -61 R) in a first row (67 1 -67 N) is different from a diameter of a second one of the reinforcing cables in a second row; the elastomeric material (M Ej) of the intermediate one of the plurality of layers (50 1 -50 L) is different from at least one of an elastomeric material (M Ei) of the outwardly-adjacent one of the layers and an elastomeric material (M Ek) of the inwardly-adjacent one of the plurality of layers (50 1 -50 L); and the intermediate one of the plurality of layers (50 1 -50 L) is stiffer in a given direction than the outwardly-adjacent one of the plurality of layers (50 1 -50 L). - an outer one of the layers comprises an outer surface for contacting the underlying surface; - an inner one of the layers comprises an inner surface for facing an axis of rotation of the wheel; and - an intermediate one of the layers is disposed between an outwardly-adjacent one of the layers and an inwardly-adjacent one of the layers, said intermediate one of the layers is configured to decouple elastic deformations of the outwardly-adjacent one of the layers and the inwardly-adjacent one of the layers, said intermediate one of the layers comprises an elastomeric material (M Ej) and a plurality of reinforcing cables (61 1 -61 R) spaced apart from one another by respective parts of its elastomeric material (M Ej) and including a metallic material and extending transversally to a circumferential direction of the tire, wherein the reinforcing cables (61 1 -61 R) extend substantially parallel to a lateral direction of the tire; wherein in the intermediate one of the plurality of layers (50 1 -50 L) respective ones of the reinforcing cables (61 1 -61 R) are spaced apart from one another in the radial direction of the tire and are arranged in a plurality of rows (67 1 -67 N) that are spaced apart from one another in the radial direction of the tire, and a diameter of a first one of the reinforcing cables (61 1 -61 R) in a first row (67 1 -67 N) is different from a diameter of a second one of the reinforcing cables in a second row; the elastomeric material (M Ej) of the intermediate one of the plurality of layers (50 1 -50 L) is different from at least one of an elastomeric material (M Ei) of the outwardly-adjacent one of the layers and an elastomeric material (M Ek) of the inwardly-adjacent one of the plurality of layers (50 1 -50 L); and the intermediate one of the plurality of layers (50 1 -50 L) is stiffer in a given direction than the outwardly-adjacent one of the plurality of layers (50 1 -50 L).