As promised, here’s an outline of what could be on the final exam, with links to posts where appropriate and available.
- chromatic mediant relationships
- scales and chords, including polychords
- polytonality (and pandiatonicism)
- rhythm and meter, especially complex meter, additive rhythms/meter, added rhythms, and isorhythms (from Messiaen)
- tempo modulation and polytempo
- intervals in atonal theory, including
- pitch intervals (ordered and unordered)
- pitch class intervals (ordered)
- interval classes (unordered pitch intervals)
- interval inversion (atonal theory)
- pitch-class set analysis, including
- classic serialism, including
- row forms
- transpositions and properly labeling
- derived rows and invariance, and Webern, Op. 21
- serialism after 1945 (serialism of other parameters than pitch, Babbitt, Semi-Simple Variations)
- chance music
- minimalism
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