Bar cutter head (20) for receiving multiple bar cutters of a first bar cutter set, the bar cutter head (20) having n receptacle openings (25.1-25.6) for receiving n bar cutters of the first bar cutter set, which are all situated along a first concentric cutter head nominal circle having a first cutter head nominal radius (r1). A first spiral-toothed bevel gear (11) can be milled in the single-indexing method in this configuration. The bar cutter head (20) additionally has m receptacle openings (26.1-26.6) for receiving m bar cutters of a second bar cutter set, which are all situated along a second concentric cutter head nominal circle having a second cutter head nominal radius (r2). A second spiral-toothed bevel gear can be milled in the configuration having the m bar cutters. It is thus a universally-usable cutter head (20).