Being AGGLUTINATIVE or FLEXIVE are not properties of entire languages, nor are they simple properties. There is a whole range of simple properties, all logically independent of each other, prominently including those of separation/ cumulation and invariance/variance. They are all properties of individual word forms, and again there is no logical necessity for these to agree in their property sets. This creates a huge potential for heterogeneity within and for diversity across languages, which, if realized to the fall, would render morphological typology unviable. However, an examination of splits between Separation and cumulation and between invariance and variance along the lines of word-classes, of subsets within single word-classes, of morphological categories, and of terms of categories suggests that mixtures between agglutination and flexion, though multifarious, are not random. If grammars are found to be less heterogeneous, and languages less diverse, than they could be, this can be due to universal, timeless principles or to regularities of change. Both play a role in shaping morphological Systems.