Lesson 5
⏱ ~75 minLesson 4 — First Inversion
Chords in first inversion (sixth chord): doubling, idiomatic uses, and the dominant ⁶₄ cadence.
The Sixth Chord
When the third of the chord is in the bass, we say the chord is in first inversion, represented by the symbol ⁶ (or "sixth chord" for the distance between the bass and the upper note).
For a C Major chord C-E-G:
- Root position: C in the bass → I
- First inversion: E in the bass → I⁶
What Is First Inversion Good For?
First inversion is less stable than root position — and that is precisely its usefulness:
- Melodic bass line: Allows the bass to form a scale or a flowing line without changing chords
- Avoid repetition: Alternates with root position to give variety to the bass
- Smooth motion: The sixth chord "connects" two root positions with more elegance
First Inversion Doubling Rule
In first inversion, doubling is more flexible than in root position. The general rule:
In first inversion, the soprano or the highest available note can be doubled. Avoid doubling the third (which is the bass).
Exception: If the third is the leading tone (as in V⁶), it is sometimes doubled to avoid a bigger problem. Use judgment.
The ⁶₄ Cadence — First Look
In this lesson we introduce the concept of the cadential ⁶₄ (cadential second inversion). We'll cover it in detail in Lesson 5, but here we start preparing the ground.
The sequence I⁶₄ → V → I is the most powerful harmonic climax in classical chorale.
Exercise
Write progressions that include first inversion chords. End with a perfect authentic cadence (V → I in root position, soprano on the tonic).
Keys: C Major, G Major, F Major, D Major.
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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