# Hexachords

### Some articles on hexachords, hexachord:

Hexachordal Combinatoriality
... post-tonal theory that describes the combination of hexachords, often used in reference to the music of the Second Viennese school ... of all 12 pitch classes) may be divided into two hexachords (collections of 6 pitches) ... Occasionally hexachords may be combined with an inverted or transposed version of itself in a special case which will then result in the aggregate (complete set of 12 ...
Complement (music) - Aggregate Complementation
... the separation of the total chromatic of twelve pitch classes into two hexachords of six pitch classes each ... thereby creating, "two aggregates, between the first hexachords of each, and the second hexachords of each, respectively." In other words, the first and ... Hexachordal complementation is the use of the potential for pairs of hexachords to each contain six different pitch classes and thereby complete an aggregate ...
Combinatoriality - Definition
... A hexachord may be Prime combinatorial (transposition) Retrograde combinatorial (retrograde) Inversional combinatorial (inversion) Retrograde-inversional combinatorial (retrograde-inversion) and thus Semi-c. 4567 ... 1st hexachord P0/2nd hexachord I3 23 89te 2nd hexachord P0/1st hexachord I3 complete chromatic scale Retrograde-inversional combinatoriality is a ... Semi-combinatorial sets are sets whose hexachords are capable of forming an aggregate with one of its basic transformations (R, I, RI) transposed ...
Combinatoriality
... to create, "two aggregates, between the first hexachords of each, and the second hexachords of each, respectively." Combinatoriality is a side effect of derived rows where combining ... sets, as well as between pairs of hexachords ...
Guidonian Hand - Hexachord in Middle Ages
... The hexachord as a mnemonic device was first described by Guido of Arezzo, in his Epistola de ignoto cantu and the treatise titled Micrologus ... In each hexachord, all adjacent pitches are a whole tone apart, except for the middle two, which are separated by a semitone ... Each hexachord could start on G, C or F and the table to the right, reading upwards from the bottom, shows the notes in each hexachord for each of three ...