Let Λ be a tame hereditary algebra over an algebraically closed field, i.e. Λ = kQ with Q a quiver of type Ãn, D̃n, Ẽ6, Ẽ7, or Ẽ8. Two different kinds of partitions of the module category can be obtained by using Auslander-Reiten theory, and on the other hand, Gabriel-Roiter measure approach. We compare these two kinds of partitions and see how the modules are rearranged according to Gabriel-Roi...