Lesson 6
⏱ ~90 minLesson 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
SATB voice ranges
Soprano: C4-G5 / Alto: G3-C5 / Tenor: C3-G4 / Bass: E2-C4
No voice crossing
No voice should cross with its neighbor (soprano > alto > tenor > bass).
No voice overlap
No voice should exceed in the next chord the note the upper voice had in the previous chord.
No parallel fifths
Two voices cannot move in parallel perfect fifths. This is one of the most serious errors in classical harmony.
No parallel octaves
Two voices cannot move in parallel octaves (or unisons).
No hidden fifths (outer voices)
Soprano and bass should not reach a perfect fifth by direct motion.
Contrary or oblique motion preferred
Voices should preferably move in contrary or oblique motion. Parallel motion should be the exception.
Preference for stepwise motion
Inner voices (alto, tenor) should move by step or remain on the same note when possible.
Root position doubling
In root position, the root of the chord is preferably doubled.
Common tone retention
When two chords share a note, that note is retained in the same voice.
Leading tone resolution
The leading tone (seventh degree) must resolve to the tonic at cadences.
First inversion doubling
In first inversion, any note can be doubled except the third (with exceptions).
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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