Morpheme ordering is largely explainable in terms of syntactic/semantic scope, or the Mirror Principle, although there is a significant residue of cases that resist an explanation in these terms. The article, we look at some key examples of (apparent) deviant ordering and review the main ways that linguists have attempted to account for them. Approaches to the phenomenon fall into two broad types. The first relies on mechanisms we can term “morphological,” while the second looks instead to the resources of the ‘narrow’ syntax or phonology. One morphological approach involves a template that associates each class of morphemes in the word with a particular position. A well-known example is the Bantu CARP (Causative-Applicative-Reciprocal-Passive) template, which requires particular orders between morphemes to obtain irrespective of scope. A second approach builds on the intuition that the boundary or join between a morpheme and the base to which it attaches can vary in closeness or strength, where ‘strength’ can be interpreted in gradient or discrete terms. Under the gradient interpretation, affixes differ in parsability, or separability from the base; understood discretely, as in Lexical Morphology and Phonology, morphemes (or classes of morphemes) may attach at a deeper morphological layer to stems (the stronger join), or to words (weaker join), which are closer to the surface. Deviant orderings may then arise where an affix attaches at a morphological layer deeper than its scope would lead us to expect. An example is the marking of case and possession in Finnish nouns: case takes scope over possession, but the case suffix precedes the possessive suffix. Another morphological approach is represented by Distributed Morphology, which permits certain local reorderings once all syntactic operations have taken place. Such operations may target specific morphemes, or morphosyntactic features characterizing a class of morphemes. Agreement marking is an interesting case, since agreement features are bundled as syntactically unitary heads but may in certain languages be split morphologically into separate affixes. This means that in the case of split agreement marking, the relative order must be attributed to post-syntactic principles. Besides these morphological approaches, other researchers have emphasized the resources of the narrow syntax, in particular phrasal movement, as a means for dealing with many challenging cases of morpheme ordering. Still other cases of apparently deviant ordering may be analyzed as epiphenomena of phonological processes and constraint interaction as they apply to prespecified and/or underspecified lexical representations.