Partition and Mosaic
The opposite is partitioning, the use of methods to create segments from entire sets, most often through registral difference.
In music using the twelve-tone technique a partition is, "a collection of disjunct, unordered pitch-class sets that comprise an aggregate." It is a method of creating segments from sets, most often through registral difference, the opposite of derivation used in derived rows.
More generally, in musical set theory partitioning is the division of the domain of pitch class sets into types, such as transpositional type, see equivalence class and cardinality.
Partition is also an old name for types of compositions in several parts; there is no fixed meaning, and in several cases the term was reportedly interchanged with various other terms.
A cross-partition is, "a two-dimensional configuration of pitch classes whose columns are realized as chords, and whose rows are differentiated from one another by registral, timbral, or other means." This allows, "slot-machine transformations that reorder the vertical trichords but keep the pitch classes in their columns."
A mosaic is, "a partition that divides the aggregate into segments of equal size," according to Martino (1961). "Kurth 1992 and Mead 1988 use mosaic and mosaic class in the way that I use partition and mosaic," are used here. However later, he says that, "the DS determines the number of distinct partitions in a mosaic, which is the set of partitions related by transposition and inversion."
Read more about this topic: Derived Row