The present invention relates to thermoplastic polyurethanes obtainable or obtained by reacting at least a polyisocyanate composition comprising at least one polyisocyanate, at least one chain extender, and at least one polyol composition, wherein the polyol composition comprises at least one polyester polyol (P1) which is obtainable by reacting an aliphatic dicarboxylic acid having 2 to 12 carbon atoms and a mixture (M1) comprising propane-1,3-diol and a further diol (D1) having 2 to 12 carbon atoms, preferably butane-1,4-diol. The present invention also relates to a preparation process for such thermoplastic polyurethanes and also to the use of a thermoplastic polyurethane according to the invention or of a thermoplastic polyurethane obtainable or obtained by a process according to the invention for the production of extrusion products, films and shaped bodies or for the production of polymer compositions.