We examine two isomorphisms between affine Hecke algebras of type A associated with parameters q −1 , t −1 and q, t. One of them maps the non-symmetric Macdonald polynomials E η (x; q −1 , t −1 ) onto E η (x; q, t), while the other maps them onto nonsymmetric analogues of the multivariable Al-Salam & Carlitz polynomials. Using the properties of E η (x; q −1 , t −1 ), the corresponding properties of these latter polynomials can then be elucidated.