Tilting and turning window, particularly a roof window, opening to the outside from the room by the tilting mode, i. e. turning about a horizontal axis located in the upper part of the window, or by the turning mode about a horizontal axis located lower, advantageously in the central part of the window, having as the main assemblies the window frame, the sash, and an intermediate assembly between the window frame and the sash, which intermediate assembly consists of: - intermediate arms located along the side stringers of the sash frame and the window frame, which arms are provided at their top with tilting hinges and at their bottom with turning hinges, the tilting hinges connecting the intermediate arms with the window frame and the turning hinges connecting the intermediate arms with the sash frame or - an intermediate full frame consisting of two cross-pieces - the upper and the bottom one, and of two side stringers, said frame is fitted with tilting hinges at the top and turning hinges in the central part of the window, with the turning hinges connecting the intermediate frame with the window frame and the tilting hinges connecting the intermediate frame with the sash frame or, - an intermediate half-frame consisting of two side stringers reaching slightly beyond the middle of the length of the window and of only one cross-piece, located at the top, said half-frame is connected with the window frame by tilting hinges at top of the window and by the turning hinges with the sash in the central part of the window, the hinges consisting of two sub-assemblies of which each one is fixed to one of the main assemblies, in the turning hinges the first sub-assembly has an arched guide, the second sub-assembly has an arched slide placed in the guide, the centers of curvature (So) of the sliding surface of the guide and the slide being situated on the theoretical axis of rotation of the hinge, on the external side of the window glazing surface, characterized in that in the tilting hinges the first sub-assembly has an arched guide, the second sub-assembly has an arched slide placed in the guide, the centers of curvature (Su) of the sliding surfaces of the guide and slide being situated on the theoretical axis of rotation of the hinge on the external side of the window glazing surface. - intermediate arms located along the side stringers of the sash frame and the window frame, which arms are provided at their top with tilting hinges and at their bottom with turning hinges, the tilting hinges connecting the intermediate arms with the window frame and the turning hinges connecting the intermediate arms with the sash frame or - an intermediate full frame consisting of two cross-pieces - the upper and the bottom one, and of two side stringers, said frame is fitted with tilting hinges at the top and turning hinges in the central part of the window, with the turning hinges connecting the intermediate frame with the window frame and the tilting hinges connecting the intermediate frame with the sash frame or, - an intermediate half-frame consisting of two side stringers reaching slightly beyond the middle of the length of the window and of only one cross-piece, located at the top, said half-frame is connected with the window frame by tilting hinges at top of the window and by the turning hinges with the sash in the central part of the window,