ABSTRACT

In addition to inversion and rotation, sets may be transposed, shifted to a different location in pitch-or pc-space.1 The transposition of an unordered pitch set is easy enough to accomplish: simply shift the contents of the entire set the specified number of semitones in pitch-space. Analyzing transpositionally equivalent unordered sets is more difficult since transposition, like inversion, alters the elements of the original set. The interval content of transpositionally equivalent sets, on the other hand, remains unchanged. One way to identify sets related through transposition, then, is to compare their adjacency interval series (AIS).