From the 9th century onward, trope refers to additions of new music to pre-existing chants in use in the Western Christian Church.
These added ideas are valuable tools to examine compositional trends in the Middle Ages, and help modern scholars determine the point of origin of the pieces, as they typically mention regional historical figures (St. Saturnin of Toulouse, for example, would appear in tropes composed in Southern France).
[citation needed] Tropes were a particular feature of the music and texts of the Sarum Use (the use of Salisbury, the standard liturgical use of England until the Reformation), although they occurred widely in the Latin church.
Deus creator omnium is thus a fine example of the literary and doctrinal sophistication of some of the tropes used in the Latin rite and its derived uses in the mediæval period.
[6] Tropes in this sense were devised and named by Josef Matthias Hauer in connection with his own twelve-tone technique, developed simultaneously with but overshadowed by Arnold Schoenberg's.
Hauer discovered the 44 tropes, pairs of complementary hexachords, in 1921, allowing him to classify any of the 479,001,600 twelve-tone melodies into one of 44 types.
A composer can utilize this knowledge in many ways in order to gain full control over the musical material in terms of form, harmony and melody.
Consequently, trope technique allows the integration of a formal concept into both a twelve-tone row and a harmonic matrix—and therefore into a whole musical piece.