4.5 Voice Leading with Seventh Chords in Inversions

Voice leading with seventh chords in inversions keeps the bass moving mostly by step so inverted sevenths (the ⁶₅, ⁴₃, and ⁴₂ figures) can smoothly link bigger progressions. You spell every inverted seventh chord completely, never double a tendency tone, and resolve the chordal seventh down by step.

Why This Matters for the AP Music Theory Exam

This topic sharpens the part-writing and analysis skills you use across AP Music Theory. Inverted seventh chords show up when you analyze notated harmony, detect errors in chorale-style writing, and complete part-writing exercises in 18th-century style. Being able to spot a ⁶₅, ⁴₃, or ⁴₂ figure and predict how the bass and the chordal seventh move helps you read scores faster and write cleaner four-part textures.

These same skills support both four-part and two-part voice-leading work. When you hear or see a stepwise bass connecting chords, recognizing inverted sevenths helps you account for every note in a Roman numeral analysis and avoid common errors like doubled leading tones or unresolved sevenths.

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Key Takeaways

• Move into and out of inverted seventh chords smoothly, with stepwise or common-tone motion and minimal leaps, so the bass line stays melodic.
• Spell inverted seventh chords completely. Unlike a root-position seventh chord, you cannot omit a chord tone in an inversion.
• Never double a tendency tone (the leading tone or the chordal seventh). Each tendency tone should appear once and resolve correctly.
• Resolve the chordal seventh down by step. The exception is the V⁴₃ chord in a I-V⁴₃-I⁶ progression, where the seventh may rise by step.
• Leading-tone seventh chords (vii°⁷ and viiø⁷) either substitute for V or V⁷ as dominant function, or sit between tonic chords to prolong the tonic with stepwise voice leading.
• A vii°⁷ or viiø⁷ placed between two tonic chords can create a voice exchange and keep the bass stepwise.

How Inverted Seventh Chords Work in a Progression

When you write inversions of seventh chords in a progression, keep the entry and exit through stepwise motion. Minimal or no leaps in or out of the chord is the goal. Inverted seventh chords often let the bass have a melodic, stepwise quality, which is why they work so well to connect chords in an extended progression.

Leading-Tone Seventh Chords

Leading-tone seventh chords, the vii°⁷ (fully diminished) and viiø⁷ (half-diminished), have two possible functions:

• To substitute for the V or V⁷ chord as part of the dominant, or
• Placed between tonic chords, to prolong the tonic in stepwise voice leading.

Consider a vii°⁷-I motion. The vii°⁷ has dominant function because the leading tone resolves up to the tonic. You can use it in root position for a strong leading-tone-to-tonic resolution, or in an inversion with the leading tone in the soprano for a similarly strong pull toward the tonic.

Inversions are especially useful in the second case, where the leading-tone seventh sits between two tonic chords. You could write it in root position, but using first inversion can create a voice exchange while keeping the bass moving by step.

Inversions of the ii⁷ chord are also common in tonal music, and you will see more of those in later units when predominant seventh chords come up.

Complete Spelling of Inverted Sevenths

Inverted seventh chords must contain all four chord tones. While you may omit the fifth in a root-position seventh chord, you cannot drop any tone in an inversion. Keep all four, and make sure tendency tones appear only once so they can resolve correctly.

How to Use This on the AP Music Theory Exam

Harmonic Analysis

When you label chords with Roman and Arabic numerals, watch for stepwise bass lines. A bass that walks by step often signals inverted seventh chords (⁶₅, ⁴₃, ⁴₂) connecting larger harmonies. Every note you label must be explained by the chord you write, so account for the chordal seventh and the leading tone.

Part Writing

In four-part writing, spell each inverted seventh chord completely, double a non-tendency tone, and resolve the chordal seventh down by step. Check that the leading tone is not doubled and resolves up to the tonic in an outer voice. Use stepwise or common-tone motion to enter and leave the chord.

Error Detection

Common errors to catch in chorale-style writing: a doubled leading tone or doubled seventh, an inverted seventh chord missing a chord tone, an unresolved seventh that leaps away instead of stepping down, and parallel fifths or octaves created by careless inner-voice motion.

Common Trap

The seventh resolves down by step in almost every case. The main exception is the V⁴₃ chord in a I-V⁴₃-I⁶ progression, where the seventh may move up by step. Do not assume that exception applies elsewhere.

Common Misconceptions

• "You can leave out a chord tone in any seventh chord." You can omit the fifth only in a root-position seventh chord. Inverted seventh chords must be spelled completely.
• "It is fine to double the seventh or leading tone if it makes voice leading easier." Tendency tones should never be doubled. Double a non-tendency tone instead.
• "The seventh can resolve in any direction." The chordal seventh resolves down by step, with the narrow exception of the V⁴₃ seventh rising in a I-V⁴₃-I⁶ progression.
• "vii°⁷ only works as a dominant substitute." It can also prolong the tonic when placed between tonic chords, often with stepwise voice leading or a voice exchange.
• "Inverted seventh chords need a leaping bass." The whole point is the opposite: they usually keep the bass moving by step so the line stays smooth and melodic.

Unit 4 Voice Leading Rules Summary

You have covered many voice-leading rules so far. Here is a step back to review them, starting with Unit 4.1.

General Voice Leading Rules and Considerations

1. Voice leading should proceed mostly by step without excessive leaps.
2. When possible, pitches common to adjacent chords, or common tones, should be retained in the same voice part(s).
3. For clarity of voice leading, any chord should maintain soprano-alto-tenor-bass (SATB) order from high to low to avoid voice crossing.
4. If a perfect fifth between two voices is not immediately repeated, it should proceed to an interval other than another perfect fifth between the same voices. This applies to parallel motion (i.e., parallel fifths) as well as contrary motion; it also applies to nonadjacent chords on successive beats.
5. If a perfect octave or unison between two voices is not immediately repeated, it should proceed to an interval other than another perfect octave or perfect unison between the same voices. This applies to parallel motion (i.e., parallel octaves) as well as contrary motion; it also applies to nonadjacent chords on successive beats.
6. All voices should proceed melodically with the following intervals: major and minor second, major and minor third, perfect fourth, and perfect fifth. All melodic augmented and diminished intervals should be excluded, as they produce uncharacteristic dissonances. All melodic intervals larger than a perfect fifth should also be excluded, as they create uncharacteristic disjunct motion.
7. The leading tone in an outer voice (i.e., soprano or bass) should always resolve up by step to avoid an unresolved leading tone.
8. Outer voices may include leading tones as long as those leading tones are not doubled in another voice and resolve to the tonic by ascending in stepwise motion, to avoid an unresolved leading tone.
9. All implied chords must allow the corresponding soprano notes to make harmonic sense.
10. An acceptable harmonic progression can be made using tonic, supertonic, subdominant, and dominant triads exclusively, as long as the normative procedures of harmonic progression are followed.
11. Repeated instances of a specific harmony, that is, repeating a particular chord in a particular position (root position or inversion), are acceptable only if the repeated harmonies start on a strong beat. However, at the beginning of a phrase, the repeated harmonies may start on a weak beat.
12. Melodic interest in a bass line may be created by balancing upward and downward motion and by balancing melodic steps and leaps.
13. A bass line uses melodic leaps with greater frequency than upper voices or parts, which tend toward more stepwise motion.
14. Allowable leaps include thirds, perfect fourths and fifths, sixths, and octaves, and, if resolved properly, descending diminished fifths.
15. Octave leaps should be followed by changes in direction.
16. The bass line may include successive leaps in the same direction as long as the pitches outline a triad.
17. Repeated bass notes are acceptable only if they start on a strong beat. However, the repeated notes may start on a weak beat if it is the beginning of a phrase or if the second note is a suspension.
18. Although bass lines may feature note values ranging from half notes to eighth notes, the quarter note is the most frequent rhythmic value.

Parallel Voices

1. Avoid parallel fifths and parallel octaves. These occur when two voices move in similar motion and keep the same perfect fifth or octave interval between them.
2. Also avoid direct fifths and direct octaves (hidden fifths and octaves), which occur when outer voices move to a perfect interval by similar motion and the upper voice does not move by step.
3. Additionally, avoid more than three consecutive thirds or three consecutive sixths between voices.
4. Avoid rising unequal fifths, where a diminished fifth between two voices resolves to a perfect fifth.

Doubling and Spacing Rules

1. Double the root of a triad whenever voice leading allows.
2. Thirds and fifths may also be doubled in triads when they result in good voice leading.
3. In all situations, always double non-tendency tones (i.e., tones other than the leading tone and chordal seventh).
4. If the fifth is omitted in a root-position seventh chord, double the root.
5. Following a complete root-position V⁷, the tonic triad may have three roots and a third (no fifth).
6. In ⁶₄ chords, always double the bass.
7. Adjacent upper voices should be no more than an octave apart, though the bass and the part above it may be more than an octave apart.

Seventh Chords

1. Chordal sevenths should be approached by common tone or by step. When the voice-leading context precludes these options, chordal sevenths may also be approached by ascending leap or (rarely) by a descending leap of a third.
2. All chordal sevenths should resolve by a descending step, to avoid an unresolved seventh. However, the chordal seventh in a V⁴₃ chord may move up by a step when appearing in a I-V⁴₃-I⁶ progression. In some cases, the chordal seventh may be retained in the same voice before resolving down by a step.
3. The fifth of a root-position dominant seventh chord may be omitted if it helps the voice leading. When the fifth is omitted in a root-position seventh chord, the root should be doubled.
4. All inverted seventh chords must be spelled completely in writing the chord.

Cadences

1. Harmonic progressions and phrases should end with a cadence.
2. Authentic cadences create a sense of resolution and have a V-I or V-i progression. Sometimes a vii chord appears between the dominant and tonic to prolong the dominant area. A perfect authentic cadence has both the dominant and tonic in root position and ends with scale degree 1 in the soprano, giving a strong sense of resolution. An imperfect authentic cadence is also V-I but may have inverted chords or another chord tone in the soprano, giving a weaker resolution.
3. Half cadences end on a dominant chord. By ending on the dominant, they give some sense of pause without fully finishing the phrase, so they work well in the middle of a piece when moving from one phrase to another.
4. Deceptive cadences move from a dominant chord to a chord other than the tonic, often vi. They suggest resolution but withhold it, which helps prolong phrases and create tension.
5. Plagal cadences are a IV-I or iv-i progression. They give a weaker sense of resolution than authentic cadences, but the phrase still sounds resolved.

Keep these voice-leading rules in mind for the AP Music Theory exam. Some matter more than others, but stay aware of all of them. Even when a rule is not on a free-response rubric, the multiple-choice section may ask about it.

Related AP Music Theory Guides

• 4.1 Harmony and Voice Leading I
• 4.3 Harmonic Progression, Functional Harmony, and Cadences
• 4.2 SATB Voice Leading
• 4.4 Voice Leading with Seventh Chords
• Unit 4 Overview: Harmony and Voice Leading I (Chord Function, Cadence, and Phrase)