Abstract: A healdframe (heddle frame) for producing a shed of warp threads, in particular in non-orthodox weaving machines which operate at high frequencies. The healdframe includes a heald rod (1) which has a hollow area (9). Flat protrusions (8) of the edge piece (2) are inserted into the hollow area (9) to secure the edge piece (2) to the heald rod (1). In the flat protrusion (8) of the edge piece (2) is created a cylindrical recess (7) in which a clamping segment (3) is pivotally or rotatably mounted. To secure the flat protrusion (8) in the heald rod (1), a pressure device such as a bolt (5) bears on a front part of the clamping segment (3) while a rear part of the clamping segment (3) bears on a rest (4) fixed in the heald rod (1).