By means of a new method (double staircase) concentration pairs of equal intensity for the sweet compounds acesulfame-K, aspartame, cyclamate-Na, saccharine-Na, dextrose and glucitol were determined with sucrose on 6 or 7 equidistant scaled levels, respectively, with 4 repetitions. The parameters maximal intensity Rm, the concentration coefficient b and the mean Rm/b, respectively, are calculated for each substance from the known parameters for sucrose using the exponential function R = Rm(1-e-bS/Rm), which describes the sweetness intensity R in dependence of the concentration S. For exact determination of the maximal intensity the upper concentration level was fixed at very high degree. Additionally, the relative sweetness of each concentration level of each substance is calculated. In all cases the exponential function is valid without limitation. The statistical parameters are homogenous and are laying within the applied staircase method. Systematical deviations could not be found.