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Music Theory

Build Half-Diminished Seventh Chords in Second Inversion

You are given the fifth (in the bass) of a half-diminished (leading-tone) seventh chord (m3 + d5 + m7 above the root), in second inversion. Your task is to place the other three notes of the chord on the staff: the seventh, root and third.

Structure of the half-diminished (leading-tone) seventh chord

The half-diminished seventh chord, also called the leading-tone seventh chord, is built on the seventh degree (the leading tone) of a major key. It is a diminished triad with a minor seventh (not a diminished one) added on top, so it is not symmetrical like the fully diminished seventh chord.

PositionSymbol / figured bassIntervals above the bass
Root positionø7m3 + d5 + m7
First inversion6/5m3 + P5 + M6
Second inversion4/3M3 + A4 + M6
Third inversion4/2M2 + P4 + m6

Exercise

How to use the exercise: Click (or drag) on the staff to place each note. If a note needs an accidental, choose it first with the accidental buttons (double flat, flat, natural, sharp, double sharp). Undo removes the last note and Clear restarts the exercise. The magnifier shows the note you are about to place at a larger size.

In every inversion the chord still contains the same four notes. If you get stuck, find the interval of a second (or its inversion, a seventh) among the notes: the root is the upper note of that second when the chord is written in close position.

Other positions of the half-diminished (leading-tone) seventh chord: root position, first inversion, third inversion, all positions mixed. You can also practice recognizing them (together with Dominant seventh and Diminished seventh chords in the same position) or review the theory on the half-diminished (leading-tone) seventh chord page.

Printable worksheet (PDF)

The same exercise on paper, for class: 21 chords of the leading-tone seventh, with the lowest note given, on one side of A4. The student writes the other three. With a separate answer sheet.

Printable PDF worksheet to write leading-tone seventh chords
A4 sheet with 21 chords.

Download the worksheet (PDF, A4) Answers

You may print and photocopy it freely for the classroom.

More worksheets

Need more practice on paper? Generate as many worksheets as you like, each one with different chords, and print them straight from your browser.

Frequently Asked Questions

What is a half-diminished (leading-tone) seventh chord?
The half-diminished seventh chord, also called the leading-tone seventh chord, is built on the seventh degree (the leading tone) of a major key. It is a diminished triad with a minor seventh (not a diminished one) added on top, so it is not symmetrical like the fully diminished seventh chord.
How is the half-diminished (leading-tone) seventh chord labeled in second inversion?
It is labeled 4/3, with the intervals M3 + A4 + M6 counted from the bass note.
Which note is given and which ones do I have to draw?
The fifth is given on the staff (in the bass). You draw the other three: the seventh, root and third.
Why is a double accidental sometimes needed?
Depending on the starting note, one of the chord notes may need a double sharp or a double flat to keep the correct letter name (for example, a half-diminished seventh chord on D♭ contains A𝄫). This appears mostly on the hard level.