Arrangement of a vertical scaffolding element and a scaffolding component, which includes at least one connecting head (61, 361, 661) and wedge (62, 362), for forming a releasable connection with the vertical scaffolding element, wherein a projection, which extends transversely, thus in a transverse direction, to a longitudinal axis of the vertical scaffolding element and which has a recess in the form of a passage (55; 55.1, 55.2) for insertion of the wedge (62, 362), is fastened to the vertical scaffolding element extending in the direction of the longitudinal axis, and wherein the connecting head (61, 361, 661) is mechanically positively lockable with the projection with the help of the wedge (62, 362), which is insertable through the passage (55; 55.1, 55.2) of the projection, for forming the releasable connection and is tightenable with the vertical scaffolding element, and wherein the connecting head (61, 361, 661) has an upper head part (74, 374) with an upper wedge opening and a lower head part (75, 375) with a lower wedge opening for the wedge (62, 362) insertable through the wedge openings (80, 81), and wherein a forwardly open horizontal slot (67, 667) for plugging the connecting head (61, 361, 661) in a substantially horizontal plug-on direction forwardly onto the projection is arranged between the upper head part (74, 374) and the lower head part (75, 375) and wherein the horizontal slot (67, 667) is bounded upwardly and downwardly by slot surfaces (95.1, 95.2; 96.1, 96.2; 99.1, 99.2; 107; 695.1, 695.2), which extend on either side of a horizontal centre plane of the horizontal slot (67, 667), and wherein the connecting head (61, 361, 661) has a wedge support body (85, 385, 685), which forwardly overlaps the horizontal slot (67, 667) and is arranged above the horizontal slot (67, 667), with wedge support surfaces for vertical support of the wedge (62, 362) in the region of the lower wedge end (109, 409) thereof downwardly against unintended movement of the wedge (62, 362) vertically downwardly into a blocking setting in which plugging of the connecting head (61, 361, 661) by its horizontal slot (67, 667) forwardly in the substantially horizontal plug-on direction onto the projection would be blocked, and wherein the wedge support body (85, 385, 685) is arranged in the interior of the connecting head (61, 361, 661) and wherein the connecting head (61, 361, 661) has a wedge pivot counter-bearing arranged in the interior of the connecting head (61, 361, 661), characterised in that the wedge support surfaces of the wedge support body (85, 385, 685) are so constructed that a wedge part (190, 490) of the wedge (62, 362) projects from the upper head part (74, 374) upwardly beyond the upper head part (74, 374) and that the wedge (62, 362) is pivotable in a vertical plane, which extends perpendicularly to the horizontal centre plane of the horizontal slot (67, 667), relative to the connecting head (61, 361, 661) into a forwardly inclined abutment pivot setting (261, 361, 661) in which the wedge part (190, 490) of the wedge (62, 362) projects from the upper head part (74, 374) upwardly beyond the upper head part (74, 374) and forwardly in front of the upper head part (74, 374) of the connecting head (61, 361, 661) when the wedge (62, 362) is downwardly supported in the region of the lower wedge end (109, 409) thereof on the wedge support surfaces of the wedge support body (85, 385, 685) and that the connecting head (61, 361, 661) has above the wedge support surfaces, which enable vertical support of the wedge (62, 362) downwardly, of the wedge support body (85, 385, 685) the wedge pivot counter-bearing arranged in the interior of the connecting head (61, 361, 661), and that the wedge pivot counter-bearing is so constructed that the wedge (62, 362) in the region of the lower wedge end (109, 409) thereof can bear against or bears against the wedge pivot counter-bearing when the wedge (62, 362) is supported downwardly in the region of the lower wedge end (109, 409) thereof on the wedge support surfaces of the wedge support body (85, 385, 685), and that the wedge (62, 362) is pivotable about the wedge pivot counter-bearing rearwardly by its wedge part (190, 490) projecting upwardly beyond the upper wedge opening and at the same time forwardly by its lower wedge end (109, 409) when the wedge (62, 362) is supported in the region of the lower wedge end (109, 409) on the wedge support surfaces of the wedge support body (85, 385, 685) downwardly and when the wedge (62, 362) bears against the wedge pivot counter-bearing so as to achieve freeing of the wedge (62, 362) so that the wedge (62, 362) under gravitational force and/or with spring force assistance can automatically move vertically downwardly, under crossing of the horizontal slot (67, 667), through the passage (55, 55.1, 55.2) of the projection until in or through the lower wedge opening into a locking setting in which the connecting head (61, 361, 661) with the help of the wedge (62, 362) is mechanically positively locked with the projection so as to form the releasable connection, so that the connecting head (61, 361, 661) is not removable in any direction from the projection and is removable from the projection only after unlocking of the wedge (62, 362) by a force acting on the wedge (62, 362).