Abstract: A process can be used for producing a thermoplastic polyurethane, where the process at least involves converting at least one isocyanate composition and a polyol composition, to obtain a prepolymer having isocyanate groups, and reacting the resulting prepolymer with at least one chain extender. The at least one isocyanate composition contains an isocyanate selected from naphthylene 1,5-diisocyanate (NDI), diphenylmethane 4,4?-diisocyanate (MDI), p-phenyl diisocyanate (PPDI), o-tolidine diisocyanate (TODI), ethylene diphenyl diisocyanate (EDI), or mixtures thereof. The polyol composition contains a polytetrahydrofuran or a derivative thereof. A thermoplastic polyurethane obtained or obtainable by such a process is useful, and a foamed pellet material can be produced containing such a thermoplastic polyurethane. The foamed pellet material of the invention can be used for production of a molded article.