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Music Theory

Leading-Tone Seventh Chord (Half-Diminished)

The leading-tone seventh chord, also called the half-diminished seventh chord, is a four-note chord built on the seventh degree (the leading tone; UK: leading note) of the major scale. It is one of the seventh chords. For background, see the pages on scale degrees and musical intervals.

Construction and function

In a major key, the seventh degree naturally produces a diminished triad. Adding a seventh, which in major is a minor 7th above the root, gives the half-diminished chord. In C major:

  • Root: B (degree VII, the leading tone)
  • Minor 3rd: D (3 half steps; UK: semitones)
  • Diminished 5th: F (6 half steps)
  • Minor 7th: A (10 half steps)

Its harmonic function is similar to that of the V7: both contain the same tritone (B–F in C major) and both tend to resolve to the tonic. The difference is the interval content: the half-diminished chord has a minor 3rd and a diminished 5th where V7 has a major 3rd and a perfect 5th, which makes it somewhat less bright but just as unstable.

Do not confuse it with the diminished seventh chord, which is built on the seventh degree of the harmonic minor scale and has a diminished 7th, making it completely symmetrical. Here, in major, the seventh is minor and the chord is not symmetrical.

Summary of intervals in each position

PositionFigured bassIntervals above the bassNotes in B half-diminished 7th (C major)
Root position7 5̄m3 · d5 · m7B–D–F–A
First inversion+6 5m3 · P5 · M6D–F–A–B
Second inversion+4 3M3 · A4 · M6F–A–B–D
Third inversion4 +2M2 · P4 · m6A–B–D–F

Root position

The chord is built with a minor 3rd, a diminished 5th and a minor 7th above the root.

Leading-tone seventh chord in root position
Minor seventh of the leading-tone seventh chord
Diminished fifth of the leading-tone seventh chord
Minor third of the leading-tone seventh chord

Figured bass

Figured bass of the leading-tone seventh chord in root position, example 1
Figured bass of the leading-tone seventh chord in root position, example 2
Figured bass of the leading-tone seventh chord in root position, example 3
Figured bass of the leading-tone seventh chord in root position, example 4

The figured bass is 7 and a slashed 5: the 7 says that the distance between the outer notes is a seventh, and the slashed 5 says that the fifth is diminished. It is the same in every key.

First inversion

The third is in the bass. Above the bass the chord has a minor 3rd, a perfect 5th and a major 6th.

Leading-tone seventh chord in first inversion
Major sixth in the first inversion of the leading-tone seventh chord
Perfect fifth in the first inversion of the leading-tone seventh chord
Minor third in the first inversion of the leading-tone seventh chord

Figured bass

Figured bass of the leading-tone seventh chord in first inversion, example 1
Figured bass of the leading-tone seventh chord in first inversion, example 2
Figured bass of the leading-tone seventh chord in first inversion, example 3
Figured bass of the leading-tone seventh chord in first inversion, example 4

The figured bass is +6 and 5: the +6 says that the sixth is the leading tone; the 5 is added to tell it apart from the dominant seventh in second inversion. It is the same in every key.

Second inversion

The fifth is in the bass. Above the bass the chord has a major 3rd, an augmented 4th and a major 6th.

Leading-tone seventh chord in second inversion
Major sixth in the second inversion of the leading-tone seventh chord
Augmented fourth in the second inversion of the leading-tone seventh chord
Major third in the second inversion of the leading-tone seventh chord

Figured bass

Figured bass of the leading-tone seventh chord in second inversion, example 1
Figured bass of the leading-tone seventh chord in second inversion, example 2
Figured bass of the leading-tone seventh chord in second inversion, example 3
Figured bass of the leading-tone seventh chord in second inversion, example 4

The figured bass is +4 and 3: the +4 says that the fourth is the leading tone; the 3 is added to tell it apart from the dominant seventh in third inversion. It is the same in every key.

Third inversion

The seventh is in the bass. Above the bass the chord has a major 2nd, a perfect 4th and a minor 6th.

Leading-tone seventh chord in third inversion
Minor sixth in the third inversion of the leading-tone seventh chord
Perfect fourth in the third inversion of the leading-tone seventh chord
Major second in the third inversion of the leading-tone seventh chord

Figured bass

Figured bass of the leading-tone seventh chord in third inversion, example 1
Figured bass of the leading-tone seventh chord in third inversion, example 2
Figured bass of the leading-tone seventh chord in third inversion, example 3
Figured bass of the leading-tone seventh chord in third inversion, example 4

The figured bass is 4 and +2: the 4 gives the distance of a fourth and the +2 says that the second is the leading tone. It is the same in every key.

To practice this chord there is an exercise on building the leading-tone seventh (in its four positions) and another on recognizing it next to the dominant seventh and the diminished seventh.

Frequently Asked Questions

What is the leading-tone seventh chord?
It is the four-note chord built on the seventh degree (the leading tone) of the major scale. It is made of a minor 3rd, a diminished 5th and a minor 7th above the root. It is also called the half-diminished seventh chord.
How does it differ from the dominant seventh chord?
The leading-tone seventh is built on degree VII with a minor 3rd, a diminished 5th and a minor 7th; the dominant seventh is built on degree V with a major 3rd, a perfect 5th and a minor 7th. Both share the same tritone.
How many inversions does it have?
Three, in addition to root position: first (+6 and 5), second (+4 and 3) and third (4 and +2). Each inversion carries an extra number in the figured bass to tell it apart from the dominant seventh chord.
What are the notes of the leading-tone seventh chord in C major?
In C major it is built on degree VII, B. Its notes are B–D–F–A: a minor 3rd (B–D), a diminished 5th (B–F) and a minor 7th (B–A).
How does it resolve?
It resolves to the tonic: the leading tone rises a half step to the tonic, the diminished 5th falls to the third of the tonic chord, and the seventh falls by step. In C major: B→C, F→E, A→G, and D goes to C or E.