Music Theory Notes

UIUC MUS 102 Notes

Course Overview

MUS 102 introduces the grammar of tonal music and phrase design. The class centers on functional harmony (T–PD–D), cadences, embellishing tones/chords, dominant-function chords (V, V7, vii°/vii°7), inversional uses (6, 6⁵, 4², etc.), the cadential six–four, and formal phrase types (motive, sentence, periods, and double periods). Emphasis is on voice leading, bass-line fluency, and hearing/analysis of common-practice repertoire.

Learning Outcomes

By the end of the course, students should be able to:

  • Identify and apply harmonic functions (Tonic, Predominant, Dominant) in analysis and part-writing.
  • Recognize and write cadence types and explain their voice-leading implications.
  • Employ embellishing tones (PT, NT, CT, APT, ANT, APP, escape, changing tones, pedal) and embellishing chords (esp. 6³/6⁴ uses) in metrically appropriate contexts.
  • Construct and resolve dominant structures (V, V7) and leading-tone substitutes (vii°/vii°7) with correct treatment of tendency tones.
  • Use inversions of V (V⁶, V⁶⁵, V⁴³, V⁴²) and vii°⁶ in tonic and dominant expansions.
  • Analyze and write phrase designs: motives, sentences (A–A′–B), periods (parallel/contrasting), double periods, and embedded phrase models.
  • Diagnose, write, and resolve suspensions (7–6, 4–3, 9–8, 2–3) and cadential 6–4 progressions with historically consistent doubling/resolution.

Syllabus (Topic Modules)

1) Functional Harmony & Cadences

  • Functions:
    • Tonic (T): stability (I/i, vi/VI, iii ∗rare).
    • Predominant (PD): away from tonic (ii, ii°/ii⁶⁵, iv/IV, VI; iii ∗rare).
    • Dominant (D): toward tonic (V, V7, vii°/vii°7).
  • Cadences: common authentic/half/contrary-motion variants; stylistic plagal motion (IV–I); recognition of inconclusive endings (e.g., V→vi).

2) Embellishing Chords & Bass-Line Fluency

  • Purpose: prolong structural harmonies; maintain melodic and bass motion.
  • Typical traits: metrically weak in the bass; often 1st/2nd inversion to keep the bass singing.
  • 6³ (first-inversion) usage:
    • Weaker than root position; often PT/NT in bass.
    • Voice-leading rules: keep common tones; prefer doubling the root; avoid doubling the leading tone.

3) Dominant Structures: V7 and Leading-Tone

  • V7: dissonant seventh resolves down by step (4̂→3̂); 2̂→1̂, 5̂→1̂ patterns; options to omit the 5th and double the root.
  • vii° / vii°7: functional substitutes for V/V7; special voice-leading care (never double the leading tone); common in first inversion (vii°⁶) for smoother bass.

4) Tonic & Dominant Expansions (Passing/Neighbor Uses)

  • V⁶ as incomplete neighbor (I⁶ ↗ V⁶ ↘ I).
  • vii°⁶ as passing between I and I⁶ (fills the chordal leap).
  • Neighbor V⁶⁵ (7̂ in bass) and Passing V⁴³ (2̂ in bass) to connect I ↔ I⁶.
  • V⁴² as passing or incomplete neighbor between V and I⁶.

5) Accented & Chromatic Embellishing Tones

  • Accented (on strong beats) vs unaccented dissonances. Intervallic identity is relative to the bass.
  • PT/NT (diatonic & chromatic), APT, CPT, ANT, APP (AIN vs APP directionality), escape tones, changing tones (double neighbors), and pedal points for I or V prolongation.

6) Suspensions (Upper Voice & Bass)

  • Definition: accented dissonance prepared by repetition and resolved down by step.
  • Standard types: 7–6, 4–3, 9–8, 2–3 (bass sus).
  • Preparation (P) → Suspension (S) → Resolution (R); S stronger than P and R; align with harmonic rhythm.

7) Six–Four Chords (6⁴)

  • Unstable/dissonant in classical syntax; functions by context:
    • Pedal 6⁴ (neighbors above an underlying 5³).
    • Passing 6⁴ (bass stepwise motion R.P.→1st inv. or vice versa; double the bass).
    • Arpeggiated 6⁴ (within a single harmony).
  • Cadential 6⁴ → V (→ V7): double the bass (5̂); voice-leading targets 3̂←4̂ and 1̂←2̂.

8) Phrase Design & Formal Syntax

  • Motive and figure (sub-phrase building blocks).
  • Composite phrase (often 4 mm, but flexible).
  • Sentence: Statement → Repetition/Variation (A/A′) → Continuation (B).
  • Period: antecedent (weaker cadence) → consequent (stronger cadence).
    • Parallel (A→A/A′) vs Contrasting (A→B).
    • Double period: two antecedent-like phrases followed by two consequent-like phrases with the final cadence strongest.
  • Embedded phrase model: lighter, tonic-prolonging mini-phrase nested within a larger model; avoids strong cadences; uses inversions.

Skills & Practice

  • Four-part writing with function-first planning (T–PD–D–T).
  • Bass-line design: smooth stepwise motion; use of 6³/6⁴ to preserve fluency.
  • Accurate tendency-tone treatment (leading tone, chordal seventh).
  • Diagnosis and correction of doubling errors (esp. avoid doubling 7̂).
  • Hearing/labeling embellishments and cadential behaviors in repertoire.

Assessment & Study Guide

  • Written analysis: label functions, cadences, embellishments, suspensions, and six–four types.
  • Part-writing: complete progressions with correct doublings and resolutions.
  • Form/phrase: identify motive, sentence, period, and double period structures from excerpts.
  • Preparation tips:
    • Practice turning I ↔ I⁶ with passing/neighbor dominants and vii°⁶.
    • Drill V7 resolutions in all inversions; memorize permitted omissions/doublings.
    • Classify every 6⁴ you encounter (pedal, passing, arpeggiated, cadential) by metric position and voice-leading.




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