A machining tool embodied as a saw band or saw blade, the machining tool including a tooth having a tooth tip being covered with cutting particles to form a plurality of geometrically undefined cutting portions, wherein the tooth tip includes a longitudinal center axis, a plateau surface, a first connecting surface and a second connecting surface, wherein the first connecting surface and the second connecting surface are directly or indirectly connected to the plateau surface, and the first connecting surface extends at a first side of the longitudinal center axis under a first tooth tip angle having a first value with respect to the plateau surface, and the tooth tip is designed to be asymmetrical, the second connecting surface extends at an opposite second side of the longitudinal center axis under a second tooth tip angle having a different second value with respect to the plateau surface, the first tooth tip angle is < 0° as seen in a first sense of direction of movement in which the first connecting surface precedes the second connecting surface, and the second tooth tip angle is ≥ 0° in an opposite second sense of direction of movement in which the second connecting surface precedes the first connecting surface characterized in that when the machining tool moves in a first sense of direction of movement the first connecting surface is the active machining surface which first comes into contact with the workpiece which is to be machined, and when the machining tool moves in the opposite second sense of direction of movement the second connecting surface is the active machining surface, and the first tooth tip angle is between < 0° and -80° and the second tooth tip angle is between 0° and 20°. the tooth tip includes a longitudinal center axis, a plateau surface, a first connecting surface and a second connecting surface, wherein the first connecting surface and the second connecting surface are directly or indirectly connected to the plateau surface, and the first connecting surface extends at a first side of the longitudinal center axis under a first tooth tip angle having a first value with respect to the plateau surface, and the first connecting surface and the second connecting surface are directly or indirectly connected to the plateau surface, and the first connecting surface extends at a first side of the longitudinal center axis under a first tooth tip angle having a first value with respect to the plateau surface, and the tooth tip is designed to be asymmetrical, the second connecting surface extends at an opposite second side of the longitudinal center axis under a second tooth tip angle having a different second value with respect to the plateau surface, the first tooth tip angle is < 0° as seen in a first sense of direction of movement in which the first connecting surface precedes the second connecting surface, and the second tooth tip angle is ≥ 0° in an opposite second sense of direction of movement in which the second connecting surface precedes the first connecting surface characterized in that when the machining tool moves in a first sense of direction of movement the first connecting surface is the active machining surface which first comes into contact with the workpiece which is to be machined, and when the machining tool moves in the opposite second sense of direction of movement the second connecting surface is the active machining surface, and the first tooth tip angle is between < 0° and -80° and the second tooth tip angle is between 0° and 20°.