06 September 2008

The Glossary

Terms used in analysing Babbitt's Semi-Simple Variations:

Aggregate


Hexachord
A collection of 6 chromatic pitches. (Hence each twelve-tone set would contain two hexachords.)

Hexachordal Combinatoriality
This refers to a specific type of tone row that is obtained from the combination of a hexachord with a transposition of its inversion.

Derived Set
This refers to a very specific type of tone row. It requires a segment - trichord, tetrachord or hexachord - to be subjected to transposition, inversion or retrograde in order to derive the entire set of twelve tones.

1 comment:

ec said...

Hi Joyce,

Please note that a hexachord need not be chromatic--there can be diatonic or whole-tone hexachords for example.

Your definition of Hexachordal Combinatoriality refers only to I-combinatoriality. Remember there is T-, R- and RI-combinatoriality, and of course, there is a special group of rows that have the all-combinatorial property.