HomeTraditional Harmony CourseLesson 5 — Second Inversion and the ⁶₄ Cadence
6

Lesson 6

⏱ ~90 min

Lesson 5 — Second Inversion and the ⁶₄ Cadence

Chords in second inversion: restricted uses (cadential, passing, pedal). The dominant ⁶₄ cadence as harmonic climax.

Second Inversion and Its Restrictions

When the fifth of the chord is in the bass, the chord is in second inversion (symbol: ⁶₄).

Second inversion is the most unstable of the three positions. For this reason, its use is very restricted in classical harmony. It has three accepted uses:

1. Cadential Use (the most important)

The I⁶₄ → V → I cadence is the most common and powerful use:

  • The I⁶₄ appears over the dominant bass (G in C Major)
  • The sixth (C) and fourth (E) resolve stepwise downward to the fifth (B) and third (G) of the dominant chord
  • This is the moment of greatest tension before the final resolution

This pattern appears in virtually all tonal music: in the final cadence of a sonata, before the solo in a classical concerto (trill cadence), in opera arias. It is the "sigh" before the denouement.

2. Passing Use

The passing ⁶₄ chord appears on a weak beat between two root position chords whose roots are a third apart:

I → I⁶₄ (passing) → I⁶ (or vice versa)

3. Pedal (Neighbor) Use

The pedal ⁶₄ chord appears when the bass remains static (pedal point) and the upper voices temporarily form a ⁶₄:

I → I⁶₄ (neighbor) → I


Second Inversion Doubling Rule

In second inversion, always double the fifth (which is the bass).

This rule has no exceptions in classical chorale.


The Complete Chorale

In this lesson you integrate all the tools learned:

  • Root position with root doubling
  • First inversion with melodic bass line
  • ⁶₄ → V → I cadence at the end

Exercise

Write a complete chorale (6-10 chords) in one of the following keys: C Major, G Major, F Major, D Major, B♭ Major.

Requirement: The chorale must end with the sequence I⁶₄ → V → I.

This is the first time the exercise has no pre-set scheme — you decide the progression. Trust your musical judgment!

Active rules in this lesson

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SATB voice ranges

Soprano: C4-G5 / Alto: G3-C5 / Tenor: C3-G4 / Bass: E2-C4

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No voice crossing

No voice should cross with its neighbor (soprano > alto > tenor > bass).

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No voice overlap

No voice should exceed in the next chord the note the upper voice had in the previous chord.

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No parallel fifths

Two voices cannot move in parallel perfect fifths. This is one of the most serious errors in classical harmony.

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No parallel octaves

Two voices cannot move in parallel octaves (or unisons).

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No hidden fifths (outer voices)

Soprano and bass should not reach a perfect fifth by direct motion.

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Contrary or oblique motion preferred

Voices should preferably move in contrary or oblique motion. Parallel motion should be the exception.

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Preference for stepwise motion

Inner voices (alto, tenor) should move by step or remain on the same note when possible.

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Root position doubling

In root position, the root of the chord is preferably doubled.

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Common tone retention

When two chords share a note, that note is retained in the same voice.

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Leading tone resolution

The leading tone (seventh degree) must resolve to the tonic at cadences.

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First inversion doubling

In first inversion, any note can be doubled except the third (with exceptions).

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Perfect authentic cadence

A perfect authentic cadence requires V→I with root in bass and soprano, and correct leading tone resolution.

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