The invention relates to a wound heat exchanger having a core tube extending along a longitudinal axis in an axial direction and having a tube bundle, which has a plurality of tubes for conducting a first fluid, wherein the tubes are wound about the core tube in a plurality of windings, the tubes being arranged in a radial direction perpendicular to the axial direction in a plurality of tube layers, adjacent windings of at least one tube layer having different axial distances in the axial direction and/or tube layers adjacent in the radial direction having different radial distances from each other in a cross-sectional plane perpendicular to the longitudinal axis. The invention further relates to a method for producing a wound heat exchanger and to a method for transferring heat between a first fluid and a second fluid by means of the heat exchanger.