What is AP Music Theory unit 5?
Unit 5 is where harmonic progressions get their full shape. You move from the two-function tonic-dominant world of Unit 4 into a three-function model: tonic, predominant, dominant, tonic (T-PD-D-T). The predominant area is filled by IV, iv, ii, ii°, and their seventh-chord versions, all of which prepare the dominant and intensify the sense of key.
Unit 5 covers how predominant chords (IV, ii, and their seventh forms) function between tonic and dominant, how vi acts as a tonic substitute or weak predominant, how iii fits into minor-key progressions, which cadence types use predominant function, and how to identify and write all four types of six-four chords correctly.
The T-PD-D-T phrase model
Predominant chords (IV, iv, ii, ii°) sit between tonic and dominant to intensify the establishment of key. Recognizing this three-function order lets you label harmonic function accurately in both score analysis and listening tasks.
Six-four chords and their contexts
Second-inversion triads are restricted to four specific uses: cadential, neighboring (pedal), passing, and arpeggiated. Each type has its own beat placement, doubling rule, and voice-leading pattern, and mixing them up is a common part-writing error.
Special progressions: deceptive and Phrygian
The deceptive progression (V moving to vi instead of I) and the Phrygian half cadence (iv6-V in minor) are named progressions you must identify by ear and in a score. Both involve predominant or dominant function resolving in an unexpected direction.
Predominant function is the harmonic middle groundEvery task in Unit 5 depends on understanding that predominant chords do not resolve tension on their own; they build it before the dominant does. Whether you are writing four voices, detecting errors, or labeling a cadence, the question is always the same: which functional area does this chord belong to, and does it move correctly to the next one?
Unit 5 review notes
5.1
Predominant Function: IV, iv, ii, and ii°
Predominant chords occupy the harmonic area between tonic and dominant. Adding them to a phrase produces the T-PD-D-T shape, which intensifies the sense of key far more than a plain T-D-T progression. The two main predominant chords are the subdominant (IV in major, iv in minor) and the supertonic (ii in major, ii° in minor). Both typically resolve to V or V7 through descending-fifth root motion or stepwise voice leading.
- IV (subdominant): Major triad on scale degree 4 in major keys; functions as predominant and moves to V, often with the fifth of IV becoming the root of V.
- iv (minor subdominant): Minor triad on scale degree 4; appears in minor keys and occasionally in major as modal mixture; same predominant function as IV.
- ii (supertonic): Minor triad on scale degree 2 in major keys; a strong predominant because its root is a fifth above V, producing smooth circle-of-fifths motion.
- ii° (diminished supertonic): Diminished triad on scale degree 2 in minor keys; usually appears in first inversion (ii°6) to avoid the unstable diminished fifth in the bass.
- T-PD-D-T: The four-function phrase model: tonic establishes key, predominant builds tension, dominant creates strong pull toward resolution, tonic resolves.
Can you write a four-voice progression in C major that moves I - ii6 - V - I with correct doubling and no parallel fifths or octaves?
| Chord | Key type | Quality | Typical resolution |
|---|
| IV | Major | Major triad | V or V7 |
| iv | Minor (or mixture) | Minor triad | V or V7 |
| ii | Major | Minor triad | V or V7 |
| ii°6 | Minor | Diminished triad, first inversion | V or V7 |
5.2
The vi (VI) Chord: Tonic Substitute and Deceptive Progression
The submediant chord (vi in major, VI in minor) has two distinct roles. As a tonic substitute, it shares two common tones with I and can extend or prolong the tonic area. As a weaker predominant, it can move toward V. Its most tested use is the deceptive progression, where V resolves to vi instead of I, avoiding the expected authentic cadence and requiring careful voice leading: the leading tone still resolves up to scale degree 1, which becomes the third of vi.
- Tonic substitute: vi shares scale degrees 1 and 3 with I, so it can replace tonic without disrupting the harmonic logic of a phrase.
- Weak predominant: vi can move toward V, but it is a less common and less forceful predominant than IV or ii.
- Deceptive progression: V (or V7) moves to vi instead of I; the leading tone resolves up as expected, but the bass moves to scale degree 6 rather than 1.
- Deceptive cadence: A phrase-ending deceptive progression; the phrase feels interrupted rather than closed.
- VI in minor: In minor keys, VI is a major triad on scale degree 6; it functions similarly to vi in major as a tonic substitute or deceptive target.
In G major, write the voice leading for V7 moving to vi. Which voice carries the leading tone, and where does it go?
| Function of vi | Context | Typical progression |
|---|
| Tonic substitute | Extends tonic area | I - vi - IV or I - vi - ii |
| Weak predominant | Moves toward dominant | vi - V |
| Deceptive target | Follows dominant | V - vi (deceptive cadence) |
5.3
Predominant Seventh Chords: ii7 and iiø7
Predominant seventh chords (ii7 in major, iiø7 in minor) do the same harmonic job as predominant triads but add a chordal seventh that must be handled carefully. The chordal seventh resolves down by step to the third of V. One exception: when ii7 moves to a cadential six-four, the seventh can be held in the same voice for one chord before resolving down. Inversions of ii7 are labeled with figured bass: ii6/5, ii4/3, and ii4/2.
- ii7: Minor seventh chord on scale degree 2 in major; the chordal seventh (scale degree 1) resolves down by step to scale degree 7 (the third of V).
- iiø7 (half-diminished seventh): Built on scale degree 2 in minor; same resolution rule applies: chordal seventh resolves down by step.
- Chordal seventh resolution: The seventh of any seventh chord must resolve down by step, either immediately to V or after being held through a cadential six-four.
- Retention before resolution: The chordal seventh may stay in the same voice for one chord (typically the cadential six-four) before resolving down.
- Figured-bass inversions: ii7 in root position = 7; first inversion = 6/5; second inversion = 4/3; third inversion = 4/2.
Write ii7 - V7 - I in D major in four voices. Does the chordal seventh resolve correctly, and did you avoid parallel fifths between the bass and tenor?
5.4
The iii (III) Chord
The mediant triad (iii in major, III in minor) is the diatonic chord built on scale degree 3, and it appears rarely in 18th-century harmonic progressions. In major keys, iii is a minor triad that can prolong the tonic area by sharing two common tones with I. In minor keys, III is a major triad that most often represents the relative major key rather than functioning as a standard diatonic chord. Do not treat iii as a default predominant; recognize it when you see it and label its function accurately.
- iii in major: Minor triad on scale degree 3; rare in 18th-century style; can prolong tonic by sharing scale degrees 1 and 3 with I.
- III in minor: Major triad on scale degree 3; most often signals or represents the relative major key rather than functioning as a standard predominant.
- Relative major: III in a minor key shares the same pitch content as the tonic of the relative major, making it a common point of tonal reference.
In A minor, what chord is III? What major key does it represent, and why does it appear more often in minor than iii appears in major?
| Chord | Key | Quality | Primary role |
|---|
| iii | Major | Minor triad | Rare; tonic prolongation |
| III | Minor | Major triad | Represents relative major key |
5.5
Cadences and Predominant Function
Several cadence types use predominant function directly. The plagal cadence (IV-I or iv-i) moves from subdominant to tonic and is often heard as an 'amen' ending. The Phrygian half cadence (iv6-V) occurs only in minor and is named for the half-step motion in the bass from scale degree 4 down to scale degree 5. The deceptive cadence (V-vi or V-VI) avoids the expected tonic resolution. These join the authentic cadences (PAC, IAC) and half cadence (HC) you already know from Unit 4.
- Plagal cadence: IV-I (or iv-i); subdominant resolves directly to tonic; often follows an authentic cadence as an extension.
- Phrygian half cadence: iv6-V in minor only; the bass descends by half step from scale degree 4 to scale degree 5, creating a distinctive sound.
- Deceptive cadence: V or V7 moves to vi (major) or VI (minor) instead of tonic; phrase feels interrupted rather than closed.
- Perfect authentic cadence (PAC): V or V7 in root position resolves to I in root position with scale degree 1 in the soprano; strongest possible cadential close.
- Half cadence (HC): Any phrase ending on V; leaves the phrase open and expecting continuation.
Identify the cadence type for each progression: (a) iv6-V in D minor, (b) V7-vi in F major, (c) IV-I in B-flat major.
| Cadence type | Progression | Key restriction | Sense of closure |
|---|
| Plagal | IV-I or iv-i | None | Moderate; soft |
| Phrygian half | iv6-V | Minor only | Open; distinctive bass motion |
| Deceptive | V-vi or V-VI | None | Interrupted; no closure |
| PAC | V(7)-I, root position | None | Strongest closure |
| Half cadence | Any chord to V | None | Open; expects continuation |
5.6
Cadential Six-Four Chords
The cadential six-four (I6/4 or V6/4-5/3) is a second-inversion tonic triad that appears immediately before the dominant at or near a cadence. Despite containing the notes of the tonic triad, it does not function as tonic. It functions as an embellishment of the dominant: the bass holds scale degree 5, and the sixth and fourth above the bass resolve down by step to the fifth and third of V (or V7). The cadential six-four always falls on a metrically stronger beat than the dominant chord that follows it.
- Cadential six-four: Second-inversion tonic triad on scale degree 5 in the bass; embellishes the dominant and resolves 6 down to 5 and 4 down to 3 above the bass.
- V6/4-5/3 notation: The figured-bass label showing the six-four resolving to a root-position dominant; the numerals track the stepwise descent of the upper voices.
- Dominant embellishment: The cadential six-four has dominant function, not tonic function, even though its notes spell a tonic triad.
- Metric placement: The cadential six-four must fall on a stronger beat than the V chord that follows; placing it on a weak beat is a part-writing error.
- Resolution rule: The sixth above the bass resolves down by step to the fifth; the fourth above the bass resolves down by step to the third; both move simultaneously.
In E-flat major, write a cadential six-four resolving to V7 and then to I. Label the figured bass for each chord and confirm the metric placement is correct.
5.7
Additional Six-Four Chords: Neighboring, Passing, and Arpeggiated
Beyond the cadential six-four, three other types of second-inversion chords are permitted in tonal music, each with its own voice-leading pattern and beat placement. All three are embellishing chords that decorate a stronger harmony rather than producing real harmonic motion. Knowing which type you are looking at depends on what the bass and upper voices are doing.
- Neighboring (pedal) six-four: The bass stays on the same pitch while the upper voices move to their upper neighbors and return; the six-four falls on a weak beat.
- Passing six-four: The bass moves through a stepwise scale fragment; the six-four harmonizes the middle passing tone; falls on a weak beat; double the fifth of the chord.
- Arpeggiated six-four: The bass arpeggiates the same triad while the upper voices hold static pitches; common in waltz and march textures.
- Beat placement rule: Cadential six-four: strong beat. Neighboring and passing six-four: weak beat. Arpeggiated six-four: follows the arpeggiation pattern.
- Doubling in passing six-four: Double the fifth of the chord (not the bass note) when writing a passing six-four to avoid parallel fifths.
Look at a bass line that moves C-D-E with a six-four chord on D. What type of six-four is this, and which voice should be doubled?
| Type | Bass motion | Upper voices | Beat placement | Doubling |
|---|
| Cadential | Stationary on scale degree 5 | Resolve 6 down to 5, 4 down to 3 | Strong | Bass (fifth of chord) |
| Neighboring (pedal) | Stationary | Move to upper neighbors and return | Weak | Bass |
| Passing | Stepwise scale fragment | Stepwise motion | Weak | Fifth of the chord |
| Arpeggiated | Arpeggiates triad | Static | Follows arpeggiation | Bass |
Practice AP Music Theory unit 5 questions
Try AP-style multiple-choice questions and written prompts after you review the notes.
QuestionA score displays a progression in A Major with the bass line A–B–C#. The recording performs the bass line A–A–A while the upper voices move to create a IV6/4 chord in the middle. The notation indicates a passing 6/4 progression, but the recording performs which type of 6/4 progression?
QuestionA student compares a score to a recording of a phrase in F Major. The score notates a cadential 46 chord resolving to a dominant triad. The alto voice is notated with the pitch F resolving down to E. The recording performs the alto pitch F resolving up to G. Which statement correctly identifies this discrepancy?
The performance incorrectly resolves the fourth of the chord upward.
The performance incorrectly resolves the sixth of the chord upward.
The performance incorrectly resolves the leading tone upward.
The performance incorrectly resolves the seventh of the chord upward.
5. Realize the figured bass below in four voices, following traditional eighteenth-century voice-leading procedures. Continue logically from the spacing of the first chord. Do not add embellishments unless indicated by the figured bass. On the blank below each chord, write the Roman numeral that appropriately indicates harmonic function.
6. Write the following progression in four voices, following eighteenth-century voice-leading procedures. Continue logically from the spacing of the first chord. Do not add embellishments unless indicated by the Roman and Arabic numerals. Use only quarter and half notes.
7. Complete the bass line for the melody below, following eighteenth-century voice-leading procedures. Below the bass line, write the Roman and Arabic numerals that indicate the harmonies and inversions implied by the soprano and bass.