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Three-dimensional orientation distribution functions were calculated from (111), (200), (220) and (311) pole figures for α-copper–zinc alloys in the concentration range from 0 to about 30% zinc. The pole figures were measured by neutron diffraction. The main feature of the texture transition is a continuous shortening or cut off of the tube of preferred orientations present in the copper texture beginning with the end orientation ~(12) [11]. This orientation has nearly completely disappeared at about 5% zinc. Simultaneously its twin orientation (011) [100] appears. A second feature is the continuous decrease of maximum density of all texture components over the whole concentration range. The results support Wassermann's theory of mechanical twinning as the reason for the texture transition.