Music Theory IV

Course Description

MUT2117C – Music Theory IV is a 3- or 4-credit (varies by institution), integrated lecture-and-laboratory course providing the fourth and final semester of the foundational four-semester music theory sequence required for all music majors at Florida public colleges and universities. The course is the direct continuation of MUT2116C (Music Theory III) and assumes fluency with chromatic harmony, advanced part-writing in major and minor keys, and the analytical techniques developed across the first three semesters. MUT2117C departs significantly from earlier semesters by addressing post-tonal music — the languages of 20th- and 21st-century concert music that move beyond functional tonality. Topics typically include impressionism (Debussy, Ravel, scales beyond major/minor); early-20th-century chromaticism leading to atonality (late Wagner, Strauss, Mahler); the second Viennese school and twelve-tone (serial) techniques (Schoenberg, Berg, Webern); set theory (pitch-class sets, interval-class vectors, Forte numbers, common operations); aleatory and indeterminacy (Cage); minimalism (Reich, Glass, Adams); and survey of contemporary techniques. The aural-skills component extends to chromatic and post-tonal sight-singing and dictation.

The course sits within the Florida Statewide Course Numbering System (SCNS) under Music > Music Theory and is offered at approximately 29 Florida public institutions. MUT2117C completes the four-semester sequence:

• MUT1111C — Music Theory I (diatonic harmony foundation; in corpus)
• MUT1112C — Music Theory II (secondary dominants, modulation, basic chromaticism, simple forms; in corpus)
• MUT2116C — Music Theory III (advanced chromatic harmony; sonata form; advanced part-writing; in queue)
• MUT2117C — Music Theory IV (this course; post-tonal music; 20th-/21st-century techniques)

Successful completion of all four semesters with a grade of C or higher is typically required for transfer to upper-division music coursework at SUS institutions. MUT2117C is the gateway to upper-division 20th-century theory courses at SUS institutions (typically MUT3xxx-level, including post-tonal theory, twelve-tone analysis, and contemporary-music topics). Music majors must take MUT2117C concurrently with applied lessons (often at the more advanced 2xxx-level by this point), ensemble participation, and (where the four-semester class-piano sequence requires a fourth semester) class piano.

Learning Outcomes

Required Outcomes

Upon successful completion of MUT2117C, students will be able to:

• Identify and analyze characteristics of impressionist music: scales beyond major/minor (whole-tone, octatonic, pentatonic, modal scales — Dorian, Lydian, Mixolydian, etc.); parallel chord motion; non-functional harmony; the impressionist sonority and texture; analytical approaches appropriate to Debussy, Ravel, and related composers.
• Identify and analyze characteristics of late-Romantic chromaticism leading to atonality: extended tonal procedures (advanced sequences, ambiguous tonal centers, prolonged dominant prolongations); the dissolution of functional tonality; analytical techniques for very chromatic late-Wagnerian and post-Wagnerian repertoire (Strauss, Mahler, early Schoenberg).
• Apply principles of introductory atonal pitch-class set theory: pitch class and pitch-class set; transposition and inversion of pitch-class sets; normal form; prime form; Forte numbers and the catalog of pitch-class sets; interval class and the interval-class vector; analyzing post-tonal music using set-theoretic tools.
• Apply principles of twelve-tone (serial) technique: the basic 12-tone row; the four basic forms (P prime, R retrograde, I inversion, RI retrograde inversion); the 12-tone matrix construction; row-form identification in score; analyzing music by Schoenberg, Berg, and Webern using row-form analysis.
• Identify extended serial techniques at introductory level: integral serialism (organizing parameters beyond pitch — duration, dynamics, articulation); rhythmic serialism; the European post-war serial movement (Boulez, Stockhausen, Babbitt) at survey level.
• Identify and discuss aleatory and indeterminacy in 20th-century music: the work of John Cage; chance procedures; performer choice; the line between traditional notation and graphic notation; analytical challenges of indeterminate works.
• Identify and analyze characteristics of minimalism and post-minimalism: phasing (Reich); additive process; harmonic stasis; the work of Reich, Glass, Adams, Riley, Pärt; the relationship between minimalism and earlier serial/aleatory traditions.
• Identify and discuss characteristics of contemporary tonal and post-tonal techniques: spectralism at survey level; new complexity at survey level; post-minimalism; the contemporary American symphonic tradition; popular-music influences in contemporary concert music.
• Apply principles of 20th-century rhythm and meter: changing meter; mixed meter; polyrhythm and polymeter at introductory level; rhythmic ostinato; rhythmic complexity in the work of Stravinsky, Bartók, Reich.
• Identify and discuss 20th-century formal innovations: through-composed forms; modular forms; process forms (often associated with minimalism); collage forms; the relationship between traditional formal categories and new approaches.
• Apply principles of analyzing 20th- and 21st-century scores: identifying the analytical approach appropriate to a given work; integrating set-theoretic and traditional analytical tools as appropriate; recognizing when a work resists conventional analysis and developing alternative approaches; the importance of careful score study.
• Demonstrate competency in chromatic and post-tonal sight-singing: sing chromatic melodies including post-tonal intervallic patterns at sight; sing tonally-ambiguous and atonal melodies; sight-sing 12-tone-derived melodies (where included).
• Demonstrate competency in aural identification of post-tonal materials: identify post-tonal scales by ear (whole-tone, octatonic, pentatonic, modal); identify atonal pitch collections at introductory level; identify post-tonal rhythmic patterns.
• Take melodic and rhythmic dictation at advanced level including chromatic and post-tonal materials.
• Apply principles of 20th-/21st-century music history awareness at introductory level: the historical and cultural context of post-tonal developments; the relationship between musical and social/political developments in the 20th century; the contemporary scene including underrepresented voices in post-tonal music history.
• Communicate effectively about 20th-/21st-century music in writing: complete short analytical papers; integrate analytical observations with broader discussion of musical effect; write about music at upper-division level appropriate to junior or senior year.
• Use music notation software at advanced level for assignments including post-tonal repertoire; introductory understanding of computer-music applications and electronic-music tools at survey level.

Optional Outcomes

Depending on instructor selection:

• Engage with introductory composition in post-tonal styles: writing short pieces using whole-tone scales, octatonic collections, pitch-class sets, or 12-tone rows.
• Engage with introductory electronic music at survey level: musique concrète; tape music; the rise of electronic-music studios; the contemporary computer-music environment.
• Engage with analysis of jazz harmony and contemporary popular-music harmonic analysis as a 20th-century tradition: extended chords; chord-scale relationships; jazz reharmonization at introductory level.
• Engage with introductory Schenkerian analysis at survey level (or as integration with previous semesters' analytical work).
• Engage with analyses of larger 20th-century works: complete movement analyses of selected works.
• Engage with introductory non-Western and globally-diverse musical materials: the relationship between 20th-/21st-century concert music and world musical traditions.

Major Topics

Required Topics

• Late-Romantic Chromaticism and the Crisis of Tonality: Wagnerian harmony at advanced level; the Tristan chord and its significance; tonal ambiguity in late-Romantic repertoire; transition toward atonality (early Schoenberg, late Strauss, Mahler).
• Impressionism: Debussy, Ravel; whole-tone scale; octatonic scale; pentatonic scale; modal scales (Dorian, Lydian, Mixolydian, etc.); parallel chord motion; non-functional harmony; impressionist sonority and texture.
• Pitch-Class Set Theory: Pitch class and pitch-class set; pitch-class integers (0-11); transposition and inversion of sets; normal form; prime form; Forte numbers; the Forte catalog; interval class; interval-class vector; analyzing post-tonal music with set-theoretic tools.
• Free Atonality: Pre-serial atonal works (Schoenberg op. 11, op. 19, op. 23); analysis of atonal repertoire using pitch-class set theory; the absence of tonal center; new approaches to coherence in atonal music.
• Twelve-Tone (Serial) Technique: The basic 12-tone row; row construction principles; the four basic forms (P, R, I, RI); 12-tone matrix construction; row-form identification in score; analyzing music by Schoenberg, Berg, Webern using row-form analysis.
• Extended Serialism: Integral serialism (parameters beyond pitch); rhythmic serialism at introductory level; the European post-war serial movement (Boulez, Stockhausen, Babbitt) at survey level.
• Aleatory and Indeterminacy: John Cage's chance procedures; performer choice in indeterminate works; graphic notation; analytical challenges; the relationship between aleatory and serial practice.
• Minimalism and Post-Minimalism: Phasing (Reich); additive process; harmonic stasis; the work of Reich, Glass, Adams, Riley, Pärt; minimalism's relationship to other 20th-century traditions; post-minimalist developments.
• 20th-/21st-Century Tonal and Post-Tonal Techniques (Survey): Spectralism at survey level (Grisey, Murail); new complexity at survey level; post-minimalist tonal language; the American symphonic tradition (Copland through contemporary); popular-music influences in concert music; underrepresented voices in 20th-/21st-century music (Florence Price, Margaret Bonds, William Grant Still, Joan Tower, Jennifer Higdon, etc.).
• 20th-Century Rhythm and Meter: Changing meter; mixed meter; polyrhythm and polymeter at introductory level; rhythmic ostinato; rhythmic complexity in Stravinsky, Bartók, Reich.
• 20th-Century Formal Innovations: Through-composed forms; modular forms; process forms; collage forms; the relationship between traditional formal categories and new approaches.
• Analyzing 20th-/21st-Century Scores: Selecting analytical approach appropriate to repertoire; integrating set-theoretic and traditional tools; recognizing when works resist conventional analysis; careful score study skills.
• Sight-Singing — Chromatic and Post-Tonal: Chromatic melodies; post-tonal intervallic patterns; tonally-ambiguous and atonal melodies; 12-tone-derived melodies (where included).
• Ear Training — Post-Tonal: Post-tonal scale identification (whole-tone, octatonic, pentatonic, modal); atonal pitch collections at introductory level; post-tonal rhythmic patterns.
• Dictation at Advanced Level: Chromatic and post-tonal melodic dictation; advanced rhythmic dictation including changing meter and complex rhythms.
• 20th-/21st-Century Historical Context: The historical and cultural context of post-tonal developments; the relationship between musical and social/political developments; the contemporary scene including diverse voices.
• Analytical Writing: Short analytical papers; integration of analytical observation with broader musical discussion; writing about music at upper-division level.
• Music Notation Software at Advanced Level: Continued use of MuseScore, Finale, Sibelius, or Dorico for advanced post-tonal repertoire.

Optional Topics

• Composition in Post-Tonal Styles: Short pieces using whole-tone, octatonic, pitch-class set, or 12-tone materials.
• Introductory Electronic Music: Musique concrète; tape music; electronic-music studios; contemporary computer-music environment.
• Jazz and Popular-Music Harmonic Analysis: Extended chords; chord-scale relationships; jazz reharmonization at introductory level.
• Introductory Schenkerian Analysis: Survey-level introduction or integration with prior semesters' analytical work.
• Larger 20th-Century Work Analyses: Complete movement analyses of selected works (Stravinsky Petrouchka, Bartók Music for Strings, Percussion, and Celesta, Reich Music for 18 Musicians, etc.).
• Non-Western and Globally-Diverse Musical Materials: The relationship between 20th-/21st-century concert music and world musical traditions.

Resources & Tools

• Most-adopted textbooks at Florida institutions: Continuation of the textbook used in MUT1111C, MUT1112C, MUT2116C — typically Tonal Harmony with an Introduction to Twentieth-Century Music by Kostka, Payne, Almén (McGraw-Hill); Music in Theory and Practice Volume II by Benward and Saker (McGraw-Hill); The Musician's Guide to Theory and Analysis by Clendinning, Marvin (Norton). For dedicated post-tonal coverage (where the institution adopts a separate text): Introduction to Post-Tonal Theory by Joseph N. Straus (Norton) — the standard post-tonal textbook in Florida institutions; Post-Tonal Theory: A Concise Guide by Roig-Francolí (Routledge).
• Open-access alternatives: Open Music Theory Volume 2 (free, viva.pressbooks.pub/openmusictheory — increasingly adopted at Florida institutions for post-tonal coverage); LibreTexts music materials.
• Set-theory analytical tools: SetTheory.com and similar online pitch-class set calculators; pitch-class set databases including the Forte catalog; analytical software used in music programs.
• Music notation software: Continued use of MuseScore (free), Finale, Sibelius, or Dorico (commercial) at advanced level.
• Score-study repertoire: Norton Anthology of Western Music (volumes covering 20th-/21st-century repertoire); IMSLP (imslp.org — free public-domain scores; many 20th-century works remain under copyright but pre-1929 work and selected later works are freely available); Schott, Universal, Boosey & Hawkes editions of post-tonal repertoire (often required purchase).
• Recordings: Spotify, Apple Music, YouTube, Naxos Music Library (institution-licensed at many institutions — provides extensive 20th-/21st-century repertoire); the Smithsonian Folkways collection.
• Sight-singing texts: Continued use of Music for Sight Singing by Ottman, Rogers (Pearson); A New Approach to Sight Singing by Berkowitz et al. (Norton). Some post-tonal-specific sight-singing materials (e.g., Lars Edlund Modus Novus for 20th-century intervallic singing).
• Online resources: teoria.com (free); musictheory.net (free); 20th-century-specific YouTube channels and lectures; the Society for Music Theory online resources.
• Tutoring and support: Institution music-department tutoring; music faculty office hours (often essential at this advanced level); music-major peer study groups; institutional Music Theory Society chapters where active.

Career Pathways

MUT2117C completes the foundational music-theory preparation required for the entire Florida music-major curriculum. Career pathways are essentially identical to those for the other semesters of the theory sequence — see the MUT1111C guide for the comprehensive career-pathway summary. Additional considerations specific to MUT2117C content:

• Composer / Arranger Pathway — MUT2117C is particularly important for students considering composition. The post-tonal techniques covered in this course form the technical foundation of much contemporary concert composition. Florida composition programs at FSU College of Music, UF School of Music, UM Frost School of Music, USF School of Music, and UCF School of Performing Arts all build on MUT2117C foundations.
• Music Theory and Musicology Graduate Study — students intending to pursue graduate work in music theory or musicology need substantial 20th-century theoretical preparation; MUT2117C provides the foundation that upper-division 20th-century theory courses build on.
• Performance of 20th-/21st-Century Repertoire — performers increasingly engage with substantial post-tonal repertoire; understanding the analytical foundations supports informed performance interpretation.
• Music Technology / Audio Engineering / Production Pathway — particularly with the FullSail University presence in Winter Park; understanding 20th-/21st-century musical languages supports work with contemporary commercial repertoire.
• Film, TV, Video Game, and Theme-Park Music — Florida's substantial entertainment-industry presence (Walt Disney World, Universal Orlando, Cirque du Soleil productions, FullSail-related production) employs composers and arrangers whose work draws on the full range of 20th-/21st-century techniques.
• Music Educator (BME pathway) — Florida BME-program students need MUT2117C completion; while K-12 teaching may not directly emphasize post-tonal repertoire, the theoretical breadth supports broad musical literacy.
• Articulation to Bachelor's Programs — MUT2117C completion satisfies the lower-division theory requirement for transfer to BM, BA-Music, and BME programs at Florida SUS institutions.

Special Information

Articulation and Transfer

MUT2117C articulates broadly within the Florida public-college system. Successful completion of all four semesters of the music theory sequence (MUT1111C, MUT1112C, MUT2116C, MUT2117C) with grades of C or higher is typically required for transfer to upper-division music coursework at SUS institutions. SUS institutions typically require successful completion of theory placement examinations upon transfer regardless of completed coursework — these placement examinations may include post-tonal content if the SUS program emphasizes 20th-/21st-century work.

Music-Major Co-Requisites

MUT2117C is normally taken concurrently with:

• Applied lessons at advanced level (typically MV*-prefix at the 2xxx level by this point)
• Ensemble participation (continued)
• Class piano (where the four-semester class-piano sequence is offered, the fourth semester runs concurrently with MUT2117C)
• Sight-singing/Ear Training IV as separate course (where MUT2117C is offered as lecture-only)

Prerequisites

Standard prerequisites include:

• MUT2116C (Music Theory III) with a minimum grade of C — non-negotiable; MUT2117C builds on the chromatic-harmony fluency and analytical skills developed in MUT2116C
• Continued enrollment in applied lessons, ensemble, and class piano (typical music-major co-requisites)

Course Format and Workload

MUT2117C is typically a 3-credit integrated lecture-and-lab course meeting 4-5 hours per week (lecture plus aural-skills lab), or a 4-credit course meeting 5-6 hours per week. Where institutions split theory and aural skills, students typically take 3-credit MUT2117 lecture (3 hours per week) plus 1-credit MUT2247 aural skills (2-3 hours per week). Expect: substantial daily theory and aural-skills practice; weekly written assignments including pitch-class set analysis and 12-tone-row analysis; analytical papers requiring careful score study and integration of multiple analytical approaches; 3-4 unit exams; a comprehensive final exam often including post-tonal sight-singing, dictation, and analytical writing. Out-of-class workload typically runs 8-12 hours per week — Theory IV is conceptually demanding due to the substantial new analytical apparatus (set theory, twelve-tone analysis) introduced. Students should establish daily ear-training drill habits, particularly for post-tonal aural materials which are unfamiliar to most students.

Conceptual Adjustment

MUT2117C asks students to make a substantial conceptual shift away from the functional-tonal framework that dominated the first three semesters. Students often experience this as initially disorienting — the analytical questions and the answers look quite different from prior coursework. The faculty member's explicit guidance in helping students adjust to set-theoretic and post-tonal analytical frameworks is essential. Students who engage seriously with the material typically find that 20th-/21st-century music becomes substantially more accessible, even enjoyable, as the analytical tools develop.

Course Code Variations

Florida institutions consistently use MUT2117C for the integrated theory-and-aural-skills course. Some institutions use the lecture-only variant MUT2117 with separate MUT2247 (Aural Skills IV). Course titles include "Music Theory IV," "Theory of Music IV," "Music Theory and Aural Skills IV," and (where the institution emphasizes content) "20th-Century Music Theory" or "Post-Tonal Music Theory." Both formats cover similar material with consistent emphasis on post-tonal content.