A tire for a vehicle includes a radial carcass, a tread band disposed radially outward of the carcass, and a belt structure interposed between the carcass and the tread band. The tread band also includes a first portion of a first elastomeric compound having a first modulus of elasticity between about 12 MPa and 16 MPa, measured at 23° C., and a second portion of a second elastomeric compound having a second modulus of elasticity between about 7 MPa and 11 MPa, measured at 23° C. Additionally, a first tread pattern formed on the first portion is different from a second tread pattern formed on the second portion. A related tread band, method for making an asymmetrical tire, and wheel for a vehicle are also disclosed.