Music Theoryafter A. Danhauser
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B.1Supplement B, Chords

Chords: Structure and Inversions

Here you'll learn to recognize the root, the third, the fifth and the seventh of a chord, however its notes are arranged, and to name its position: root position or an inversion.

9 min7 questionsDanhauser § 289 to 294

Let's start with a definition. A chord is several different pitches sounding at the same time (§ 107 and 289). In a melody, you hear the pitches one after another; in harmony, and so in a chord, you hear them together.

Stacked thirds

In its basic form, every chord is built from notes of one scale stacked in thirds (§ 290). With three notes, you get a triad, a three-note chord. With four notes, you get a seventh chord, a four-note chord.

C E G3 notesG B D F4 notes
Each note sits a third above the one below it: C, E, G, then G, B, D, F.

What each note of the chord is called

When the chord is stacked in thirds, its lowest note is the root. The other notes are named after the interval they form with it: the third, the fifth and, in a four-note chord, the seventh (§ 291). Take the chord G, B, D, F: G is the root, B is the third, D is the fifth and F is the seventh.

Here's the important part: these names never change, even when you move the notes around (§ 292). Whether the G sits at the top, in the middle or at the bottom, it's still the root. And a chord is always named after its root, so this is “the G chord.”

Sheet MusicG B DB D GD G BG D B
Listen to four arrangements of the same G chord: each time, the root is still G.

Root position and inversions

Now let's look at the bass, the lowest note you hear. When the root is in the bass, the chord is in root position. When another note is in the bass, the chord is inverted (§ 293):

  • In first inversion, the third is in the bass.
  • In second inversion, the fifth is in the bass.
  • In third inversion, which triads don't have, the seventh is in the bass.

So a triad has a root position and two inversions, and a seventh chord has a root position and three inversions (§ 294). Only the bass note decides the position. The order of the notes above it doesn't matter at all.

Sheet Musicroot1st inv.2nd inv.root1st2nd3rd
Listen to a C triad, then a G seventh chord, in every position.
WorkshopChordsFull screen
Pick a chord, change its position and listen: the color changes, but the function stays the same.
Tonic
Mode
Chords
Inversion
ICiiDmiiiEmIVFVGviAmvii°B°
DegreeNotesQualitySymbol
I · tonicC E Gmajor triadC
ii · supertonicD F Aminor triadDm
iii · mediantE G Bminor triadEm
IV · subdominantF A Cmajor triadF
V · dominantG B Dmajor triadG
vi · submediantA C Eminor triadAm
vii° · leading toneB D Fdiminished triadB°

Position : 5/3 (root position).

Exercisein the method's spirit

For each chord, name the root, the third, the fifth and, if there is one, the seventh. Then give the chord's position and rewrite it in root position.
a) E, G, C (E in the bass)   b) D, G, B (D in the bass)   c) F, G, B, D (F in the bass)   d) A, C, E (A in the bass)

abcd

You now know how to name the notes of a chord and find its position. In the next lesson, we'll sort triads into their four types. But first, a few questions.

Check your understanding

7 questions
1.
In the chord F, A, C, E stacked in thirds, which note is the seventh?
2.
A triad has its fifth in the bass. It is in:
3.
What position is this chord in?
4.
How many inversions does a seventh chord have?
5.
You move the G of the chord G, B, D to the top: B, D, G. What is the G called now?
6.
In figured bass, what does “6/4” mean?
7.
The chord symbol C/G means:

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