% Introduction to Post-Tonal Theory by Joseph N. Strauss % [ir]
1. Basic concepts and definitions
- Octave equivalence
- Pitch class
- Enharmonic equivalence
- Integer notation
- Mod 12
- Intervals
- Pitch intervals
- Ordered pitch-class intervals
- Unordered pitch-class intervals
- Intervals class
- Intervals class content
- Interval-class vector
- Exercises
- Analysis
- Webern, "Wie bin ich froh!" from Three Songs, Op. 25
- Schoenberg, "Nacht," from Pierrot Lunaire, Op. 21
2. Pitch-Class Sets
- Pitch-class set
- Normal form
- Transposition (Tn)
- Inversion (TnI)
- Index number (sum)
- Inversion (Ixy)
- Set class
- Prime form
- Segmentation and analysis
- Exercises
- Analysis
- Schoenberg, Book of the Hanging Gardens, Op. 15, No. 11
- Bartók, String Quartet No. 4, first movement
3. Some Additional Relationships
- Common tones under transposition (Tn)
- Transpositional symmetry
- Common tones under inversion (TnI)
- Inversional symmetry
- Z-relation
- Combination
- Contour relations
- Composing-out
- Voice leading
- Atonal pitch space
- Exercises
- Analysis
- Webern, Movements for String Quartet, Op. 5, No. 4
- Berg, "Schlafend trägt man mich," from Four Songs, Op. 2
4. Centricity, Referential Collections, and Triadic Post-Tonality
- Tonality
- Centricity
- Inversional axis
- The diatonic collection
- The octatonic collection
- The whole-tone collection
- The hexatonic collection
- Collectional interaction
- Interval cycles
- Triadic post-tonality
- Exercises
- Analysis
- Stravinsky, Oedipus Rex, rehearsal nos. 167-70
- Bartók, Sonata, first movement
5. Basic Twelve-Tone Operations
- Twelve-tone series
- Basic operations
- Subset structure
- Invariants
- Exercises
- Analysis
- Schoenberg, Suite for Piano, Op. 25, Gavotte
- Stravinsky, In Memoriam Dylan Thomas
6. More Twelve-Tone Topics
- Webern and derivation
- Schoenberg and hexacordal combinatoriality
- Stravinsky and rotational arrays
- Crawford and her "triple passacaglia"
- Boulez and multiplication
- Babbit and trichordal arrays
- Exercises
- Analysis
- Webern, String Quartet, Op. 28, first movement
- Schoenberg, Piano Piece, Op. 33a
7. List of set classes
8. Index vectors
