Mass functions derived from our scale-free fragmentation model (blue), the Larson (1973) model (L73; red), and a Monte Carlo procedure (black). The mass functions are computed under the same condition as L73 with a pseudo-Dirac as a starting mass distribution centred at 10³M_⊙, 19 levels of fragmentation, mass transfer rate ξ = 0 and fragments mass ratio q = 1. At each level of fragmentation the objects subdivide into one or two fragments with respective probabilities 0.5 and 0.5. The different mass functions are multiplied by different constants to separate them for better visibility.