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AP Music Theory Unit 3 Review: Triads and Seventh Chords

Review AP Music Theory Unit 3 to build your foundation in triads and seventh chords, the core building blocks of tonal harmony. This unit covers chord quality, Roman numeral analysis, figured bass, and inversions for both triads and seventh chords.

Use the topic guides, key terms, and practice questions available for this unit to work through chord spelling, quality identification, and figured bass notation.

What is AP Music Theory unit 3?

Unit 3 is where pitch knowledge from Units 1 and 2 becomes harmonic knowledge. You move from individual intervals and scales to chords: how they are built, what they sound like, how they are labeled, and how their bass note changes their notation.

A triad stacks two thirds to produce a root, third, and fifth. A seventh chord adds one more third on top. The quality of each chord depends on the specific sizes of those intervals. Roman numerals name the chord by scale degree and quality, and figured bass figures specify which chord member is in the bass.

Four triad qualities

Major (M): major third plus minor third, perfect fifth. Minor (m): minor third plus major third, perfect fifth. Diminished (d or °): two minor thirds, diminished fifth. Augmented (A or +): two major thirds, augmented fifth. Quality is determined by stacking the chord in thirds and measuring the intervals from the root.

Roman numerals and diatonic chords

Every scale degree in a key produces a diatonic chord. Uppercase Roman numerals label major triads, lowercase label minor, lowercase with ° labels diminished, and uppercase with + labels augmented. In C major: I, ii, iii, IV, V, vi, vii°. In natural minor: i, ii°, III, iv, v, VI, VII.

Inversions and figured bass

Root position places the root in the bass (5/3, abbreviated). First inversion places the third in the bass (6). Second inversion places the fifth in the bass (6/4). Seventh chords add a third inversion (4/2) where the seventh is in the bass. Figures attach to Roman numerals: V6, V6/5, V4/3, V4/2.

Why chord quality and inversion notation matter

Every harmonic analysis task in AP Music Theory requires you to name a chord's quality and inversion simultaneously. A C major triad in first inversion is not just 'C major'; it is I6 in C major. Getting both the Roman numeral and the figure correct is the standard for full credit on any notation or analysis task in this course.

AP Music Theory unit 3 topics

3.1

Triad and Chord Qualities (M, m, d, A)

Build and identify the four triad qualities by stacking thirds and measuring intervals from the root. Recognize each quality aurally and in notation.

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3.2

Diatonic Chords and Roman Numerals

Label every diatonic triad and seventh chord in major and minor keys using Roman numerals that encode scale degree, quality, and key context.

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3.3

Chord Inversions and Figures: Introduction to Figured Bass

Identify root position, first inversion, and second inversion for triads using figured bass numbers (5/3, 6, 6/4) and attach figures to Roman numerals.

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3.4

Seventh Chords

Recognize and spell the five seventh chord qualities (M7, Mm7, m7, ø7, °7) and understand the chordal seventh as a dissonance that tends to resolve downward.

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3.5

Seventh Chord Inversions and Figures

Apply figured bass shorthand (7, 6/5, 4/3, 4/2) to all four positions of a seventh chord and identify inversions in both notated and performed music.

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Unit 3 review notes

3.1

Triad Qualities: Major, Minor, Diminished, Augmented

A triad is built by stacking two thirds above a root, producing three chord members: root, third, and fifth. The four qualities differ in the sizes of those thirds and the resulting fifth. You need to identify quality both from notation (by measuring intervals) and by ear (by recognizing the characteristic sound of each quality).

  • Major triad (M): Major third (4 semitones) plus minor third (3 semitones); root to fifth is a perfect fifth (7 semitones). Bright, stable sound.
  • Minor triad (m): Minor third (3 semitones) plus major third (4 semitones); root to fifth is a perfect fifth. Darker, softer sound than major.
  • Diminished triad (d or °): Two minor thirds stacked; root to fifth is a diminished fifth (6 semitones, a tritone). Tense, unstable sound.
  • Augmented triad (A or +): Two major thirds stacked; root to fifth is an augmented fifth (8 semitones). Ambiguous, unsettled sound.
  • Arpeggiation: Successive sounding of chord tones rather than simultaneous; the chord is still analyzed as a unit.
Spell a D diminished triad and an F augmented triad from scratch, then check your interval sizes from the root.
QualityLower thirdUpper thirdRoot to fifth
Major (M)Major (4 st)Minor (3 st)Perfect 5th
Minor (m)Minor (3 st)Major (4 st)Perfect 5th
Diminished (°)Minor (3 st)Minor (3 st)Diminished 5th
Augmented (+)Major (4 st)Major (4 st)Augmented 5th
3.2

Diatonic Chords and Roman Numeral Analysis

Diatonic chords are built on each scale degree using only the pitches of the key. Roman numerals label both the scale degree of the root and the chord quality. Uppercase = major, lowercase = minor, lowercase + ° = diminished, uppercase + + = augmented. Scale-degree names (tonic, supertonic, mediant, subdominant, dominant, submediant, leading tone) are an alternate labeling system for the same chords.

  • Diatonic triads in major: I (M), ii (m), iii (m), IV (M), V (M), vi (m), vii° (d). Memorize this pattern.
  • Diatonic triads in natural minor: i (m), ii° (d), III (M), iv (m), v (m), VI (M), VII (M). Note the lowercase v and the absence of a leading tone.
  • Roman numeral case: Uppercase Roman numerals indicate major quality; lowercase indicate minor. The symbols ° and + are added for diminished and augmented.
  • Scale-degree names: Tonic (1), supertonic (2), mediant (3), subdominant (4), dominant (5), submediant (6), leading tone (7 in major).
  • Seventh chord Roman numerals: A 7 is appended to the Roman numeral: I7, ii7, V7, vii°7. Quality of the seventh is implied by the Roman numeral and key context.
Write out all seven diatonic triads in G major and in A natural minor using Roman numerals, then check each quality.
Scale degreeMajor key qualityNatural minor quality
1 (Tonic)I (major)i (minor)
2 (Supertonic)ii (minor)ii° (diminished)
4 (Subdominant)IV (major)iv (minor)
5 (Dominant)V (major)v (minor)
7 (Leading tone/subtonic)vii° (diminished)VII (major)
3.3

Chord Inversions and Figured Bass

Inversion is determined by which chord member sits in the bass. Figured bass uses Arabic numerals to show the intervals above the bass note, allowing you to identify both the chord and its inversion from a bass line alone. These figures attach to Roman numerals in analysis (e.g., I6, V6/4). You also need to read slash notation (C/E means C major with E in the bass) and recognize when a figure with a slash or plus sign raises a pitch by a half step.

  • Root position (5/3): Root is in the bass. The figure 5/3 is usually omitted; the Roman numeral alone implies root position.
  • First inversion (6): Third of the chord is in the bass. Labeled with 6 appended to the Roman numeral: I6, IV6, V6.
  • Second inversion (6/4): Fifth of the chord is in the bass. Labeled 6/4: I6/4, V6/4. The 6/4 chord is often unstable and requires resolution.
  • Figured bass accidentals: A slash through a figure or a plus sign raises that interval by a half step. A lone accidental below the bass inflects the pitch a third above.
  • Slash chord notation: Lead-sheet shorthand: C/E means a C major triad with E in the bass, equivalent to I6 in C major.
Given a bass note of G with the figure 6, identify the chord and its inversion in C major.
InversionBass noteFigureRoman numeral example
Root positionRoot(5/3) omittedI
First inversionThird6I6
Second inversionFifth6/4I6/4
3.4

Seventh Chord Qualities

A seventh chord adds a fourth pitch (a third above the fifth) to a triad. The five qualities you need to know are defined by the combination of triad quality and the size of the added seventh. The chordal seventh is a chordal dissonance: it has a natural tendency to resolve, typically by moving down by step.

  • Major seventh (MM / M7): Major triad plus major seventh. Warm, stable but slightly open sound. Built on I and IV in major.
  • Dominant seventh (Mm7 / major-minor): Major triad plus minor seventh. The most common seventh chord; built on V. Contains a tritone between its third and seventh that drives resolution to tonic.
  • Minor seventh (mm / m7): Minor triad plus minor seventh. Softer dissonance. Built on ii, iii, and vi in major.
  • Half-diminished seventh (ø7 / diminished-minor): Diminished triad plus minor seventh. Built on vii in major and ii in minor. Less tense than fully diminished.
  • Fully diminished seventh (°7 / diminished-diminished): Diminished triad plus diminished seventh. Symmetrical, highly tense. Built on vii in minor (with raised 7th scale degree).
Name the quality of the seventh chord built on scale degree 2 in C major, then on scale degree 7 in A minor.
QualityTriadSeventh intervalCommon Roman numeral
Major seventh (M7)MajorMajor 7thIM7, IVM7
Dominant seventh (Mm7)MajorMinor 7thV7
Minor seventh (m7)MinorMinor 7thii7, vi7
Half-diminished (ø7)DiminishedMinor 7thviiø7
Fully diminished (°7)DiminishedDiminished 7thvii°7
3.5

Seventh Chord Inversions and Figured Bass

Because seventh chords have four notes, they can appear in root position or in three inversions. Each inversion is labeled with a specific figured bass shorthand attached to the Roman numeral. Third inversion is unique to seventh chords: the chordal seventh itself sits in the bass. Identifying inversions in both notation and by ear is a required skill.

  • Root position (7): Root in the bass. Figure: 7. Example: V7.
  • First inversion (6/5): Third in the bass. Figure: 6/5. Example: V6/5.
  • Second inversion (4/3): Fifth in the bass. Figure: 4/3. Example: V4/3.
  • Third inversion (4/2 or 2): Seventh in the bass. Figure: 4/2, often abbreviated as 2. Example: V4/2. Unique to seventh chords.
  • Resolution of the chordal seventh: The seventh of any seventh chord tends to resolve downward by step in the voice that holds it, regardless of inversion.
Label the inversion of a G dominant seventh chord with F in the bass, then write the complete Roman numeral with figure in C major.
InversionBass noteFigureV7 example in C major
Root positionRoot (G)7V7
First inversionThird (B)6/5V6/5
Second inversionFifth (D)4/3V4/3
Third inversionSeventh (F)4/2V4/2

Practice AP Music Theory unit 3 questions

Try AP-style multiple-choice questions and written prompts after you review the notes.

Example AP-style MCQs

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MCQ

AP-style practice question

Question

A listener identifies a chord consisting of a major triad with a minor seventh interval added above the root. This quality is known as:

Dominant seventh

Major seventh

Minor seventh

Diminished seventh

MCQ

AP-style practice question

Question

A cadence in E Major features a dominant seventh chord with the fifth of the chord in the bass. Which Roman numeral analysis correctly identifies this harmony?

V4/3, representing a second inversion chord

V4/2, representing a third inversion chord

V6/5, representing a first inversion chord

V7, representing a root position chord

Key terms

TermDefinition
rootThe bottom note on which a chord is built when its pitches are arranged in stacked thirds. All chord members (third, fifth, seventh) are measured from the root.
Augmented triadA triad built from two stacked major thirds, producing an augmented fifth between root and top note. Labeled with + in Roman numeral analysis.
Diminished triadA triad built from two stacked minor thirds, producing a diminished fifth (tritone) between root and top note. Labeled with ° in Roman numeral analysis.
Roman numeral analysisA system that labels chords by scale degree and quality: uppercase for major, lowercase for minor, with ° for diminished and + for augmented. Figures are appended to indicate inversion.
SupertonicThe second scale degree and the root of the ii (or ii°) chord. In major keys the supertonic triad is minor; in natural minor it is diminished.
Root PositionA chord voicing in which the root is the lowest note. For triads the figure 5/3 applies but is usually omitted; the Roman numeral alone implies root position.
Second Inversion TriadA triad with the fifth in the bass, labeled with the figure 6/4 appended to the Roman numeral (e.g., I6/4). Often unstable and requires resolution.
Arabic numeralsThe numbers used in figured bass to indicate intervals above the bass note, specifying chord inversion. Examples: 6 for first inversion triads, 6/5 for first inversion seventh chords.
Dominant Seventh ChordA major-minor seventh chord (Mm7) built on scale degree 5. Contains a tritone between its third and seventh that creates strong tension resolving to the tonic.
Half-diminished seventh chordA seventh chord with a diminished triad and a minor seventh (ø7). Built on vii in major and ii in minor; less tense than the fully diminished seventh.
Diminished seventh chordA seventh chord with a diminished triad and a diminished seventh (°7). Symmetrical and highly dissonant; built on the raised leading tone in minor.
Minor seventh chordA seventh chord with a minor triad and a minor seventh (m7). Found on ii, iii, and vi in major keys; softer dissonance than the dominant seventh.
Third InversionA seventh chord position in which the chordal seventh is in the bass. Labeled with the figure 4/2 (or abbreviated 2) appended to the Roman numeral. Exclusive to seventh chords.
inverted triadA triad in which a chord member other than the root is in the bass. First inversion (third in bass, figure 6) and second inversion (fifth in bass, figure 6/4) are the two options.

Common unit 3 mistakes

Confusing chord quality with key quality

A minor key does not mean every chord is minor. In natural minor, scale degrees 3, 6, and 7 produce major triads (III, VI, VII). Always build the chord from the scale, not from the key name alone.

Mixing up half-diminished and fully diminished seventh chords

Both have a diminished triad on the bottom, but ø7 adds a minor seventh while °7 adds a diminished seventh. Check the interval from root to seventh: minor seventh (10 semitones) vs. diminished seventh (9 semitones).

Forgetting that third inversion only exists for seventh chords

Triads have only root position, first inversion, and second inversion. Third inversion (4/2) requires a fourth chord member, the seventh, to sit in the bass. Do not apply 4/2 to a triad.

Writing the Roman numeral without the figure

A Roman numeral alone implies root position. If the chord is inverted, the figure must be written. V and V6 are different chords in analysis; omitting the 6 is an error.

Misreading figured bass accidentals

A slash through a figure or a plus sign raises that specific interval by a half step, not the bass note. A lone accidental (no numeral) inflects the pitch a third above the bass, not the bass itself.

How this unit shows up on the AP exam

Chord identification in notation and by ear

AP Music Theory tasks regularly ask you to identify a chord's quality and inversion from a notated score or from a recorded excerpt. For triads, you name the quality (M, m, d, A) and inversion. For seventh chords, you also specify the seventh chord quality (M7, Mm7, m7, ø7, °7). Both skills require you to stack the chord in thirds mentally and check interval sizes.

Roman numeral analysis with figures

Harmonic analysis tasks require a complete Roman numeral label: the numeral itself (encoding scale degree and quality) plus the correct figured bass figure (encoding inversion). Writing V when the answer is V6/5 is incomplete. Practice writing full labels such as ii6, IV6/4, and vii°4/2 until the notation is automatic.

Figured bass realization

Given a bass line with figures, you may be asked to identify the implied harmonies and write Roman numerals, or to realize the figures by adding upper voices. Reading accidentals in figures (slashes, plus signs, and lone accidentals) is essential for correctly inflecting pitches above the bass, particularly in minor keys where the leading tone must be raised.

Final unit 3 review checklist

  • Spell all four triad qualities from any rootGiven any root note, build major, minor, diminished, and augmented triads by stacking the correct thirds. Verify by checking the root-to-fifth interval.
  • Write diatonic triads in major and natural minorProduce all seven diatonic triads in any major or natural minor key and label each with the correct Roman numeral, including quality symbols (°, +).
  • Read and write figured bass figures for triadsIdentify root position, first inversion (6), and second inversion (6/4) from a bass note plus figures, and attach the correct figure to a Roman numeral.
  • Identify all five seventh chord qualitiesDistinguish M7, Mm7 (dominant), m7, ø7, and °7 by spelling and by ear. Know which diatonic scale degrees produce each quality in major and minor.
  • Label seventh chord inversions with figured bassApply 7, 6/5, 4/3, and 4/2 to the four positions of a seventh chord and write complete Roman numeral symbols such as V4/3 or viiø6/5.
  • Recognize inversions in performed musicListen for the bass note of a chord and use it to determine inversion. Practice with arpeggiated and blocked seventh chords in various qualities.
  • Connect chord spelling to key contextGiven a key signature and a Roman numeral with figure (e.g., ii6/5 in D major), spell the actual pitches of the chord and identify the bass note.

How to study unit 3

Step 1: Drill triad spelling and quality (Topic 3.1)Use the topic guide for 3.1 to review interval sizes for each quality. Practice spelling all four qualities from at least five different roots, then try to identify quality by ear using recordings or a keyboard.
Step 2: Build diatonic chords and write Roman numerals (Topic 3.2)Choose two major keys and two minor keys. Write out all seven diatonic triads in each, label them with Roman numerals, and check quality symbols. Use the topic guide for 3.2 and the key terms for Roman numeral analysis and scale-degree names.
Step 3: Practice figured bass for triad inversions (Topic 3.3)Work through the topic guide for 3.3. Given a bass note and a figure (6 or 6/4), identify the chord and write the Roman numeral with figure. Also practice the reverse: given a Roman numeral with figure, write the bass note and remaining pitches.
Step 4: Memorize seventh chord qualities and their diatonic locations (Topic 3.4)Use the comparison table in the review notes to memorize which quality appears on each scale degree. Spell V7, viiø7, and vii°7 in several keys. Practice identifying seventh chord quality by ear using the topic guide for 3.4.
Step 5: Apply figured bass to seventh chord inversions (Topic 3.5)Use the topic guide for 3.5 to work through all four inversion figures (7, 6/5, 4/3, 4/2). Write V7 in all four inversions in G major, labeling each with the correct Roman numeral and figure. Then use available practice questions to test identification in both notation and listening contexts.

More ways to review

Topic study guides

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Frequently Asked Questions

What topics are covered in AP Music Unit 3?

AP Music Theory Unit 3 covers 5 topics built around roman numerals and chord construction: Triad and Chord Qualities (M, m, d, A), Diatonic Chords and Roman Numerals, Chord Inversions and Figured Bass, Seventh Chords, and Seventh Chord Inversions and Figures. Together they form the harmonic foundation you'll use throughout the course. Here's the full topic list: - 3.1 Triad and Chord Qualities - 3.2 Diatonic Chords and Roman Numerals - 3.3 Chord Inversions and Figures: Introduction to Figured Bass - 3.4 Seventh Chords - 3.5 Seventh Chord Inversions and Figures See everything in one place at AP Music Theory Unit 3.

What's on the AP Music Theory Unit 3 progress check (MCQ and FRQ)?

The AP Music Theory Unit 3 progress check pulls MCQ and FRQ questions directly from all five unit topics, with a heavy focus on roman numerals, triad qualities, chord inversions, and seventh chord identification. MCQ questions typically ask you to identify chord quality or figured bass symbols. FRQ tasks may ask you to notate or analyze chords in context. The MCQ portion tests recognition skills: spotting major, minor, diminished, and augmented triads, reading inversion figures, and labeling diatonic chords with roman numerals. The FRQ portion pushes you to apply those same skills in writing, often combining topics from 3.2 through 3.5. Practice with questions matched to every progress check topic at AP Music Theory Unit 3.

How do I practice AP Music Theory Unit 3 FRQs?

AP Music Theory Unit 3 FRQs most often come from the chord notation and analysis topics: roman numerals (3.2), chord inversions and figured bass (3.3), and seventh chord inversions (3.5). Typical question types ask you to write a chord in a given inversion, supply the correct figured bass symbol, or label a progression with roman numerals. To practice effectively, work through each topic in order. Start by drilling triad qualities until you can write all four (M, m, d, A) from memory. Then move to figured bass figures for inversions, since those symbols show up constantly in FRQ prompts. Finally, repeat the same process for seventh chords and their inversions. Timed, written repetition is the key. Write out full chord stacks on staff paper rather than just identifying them mentally. Find topic-matched FRQ practice at AP Music Theory Unit 3.

Where can I find AP Music Theory Unit 3 practice questions?

The best place to find AP Music Theory Unit 3 practice questions, including multiple-choice and practice test sets, is the AP Music Theory Unit 3 page, where questions are organized by topic. You'll find MCQ drills covering triad qualities, roman numerals, chord inversions, and seventh chords, all aligned to what College Board actually tests. For a practice-test experience, work through the MCQ sets topic by topic (3.1 through 3.5), then attempt the FRQ-style notation tasks under timed conditions. Mixing both formats gives you the same variety you'll see on the real exam.

How should I study AP Music Theory Unit 3?

Start AP Music Theory Unit 3 by locking in roman numerals and triad qualities before moving to anything else, since every later topic builds on them. A clear study sequence makes this unit manageable across a week or two. **Step-by-step plan:** 1. **3.1 Triad Qualities.** Memorize the interval stacks for major, minor, diminished, and augmented triads. Write them in every key. 2. **3.2 Diatonic Chords and Roman Numerals.** Practice labeling all seven diatonic chords in major and minor keys with roman numerals. Flashcards help here. 3. **3.3 Chord Inversions and Figured Bass.** Learn the figures (root position, 6, 6/4) and practice identifying inversions by ear and on the staff. 4. **3.4 Seventh Chords.** Add the seventh on top of each triad quality and learn the five seventh chord types. 5. **3.5 Seventh Chord Inversions.** Apply the same inversion logic from 3.3, now with four possible positions per chord. Spend the most time on topics 3.2 and 3.3 since chord inversions and roman numeral analysis appear on nearly every AP Music Theory FRQ. Review everything at AP Music Theory Unit 3.

Ready to review Unit 3?Start with the notes, check the topic cards, and use the practice or resource links when they are available for this course.