4.11 Triads: the first and second inversion
Category: Harmony | Tags: Chords, Triads, Ear training: chords |
Theory
In Chapter 2.11 Root position and inversion you’ve learned about the root position and inversions. In this chapter, you will learn that there are two kinds of inversions, namely the first inversion and the second inversion. In the videos and examples I show how to make first and second inversions. You learn to recognize first and second inversions and you are going to make them yourself in the exercises. You will also learn to distinguishing the difference between root position and inversions of major and minor triads by ear. You will find follow-up exercises in Chapter 5.10 Ear training: root position and inversions of triads.
1. The first inversion
If a triad is inverted, the root is not the lowest tone. The lowest tone is the third or the fifth.
There is one inversion with the third as the lowest tone and there is one inversion with the fifth as the lowest tone.
Because there is a difference in sound between a triad played with the third or the fifth as the lowest tone, these two inversions are given their own names.
When a triad is played with the third as the lowest tone, it is called the first inversion.

Listen to the sound of the root position and first inversion.
Root position A C E: A, the root, is on the bottom.
First inversion of the triad A C E becomes C E A: C, the third, is on the bottom and A is the root.
Video
Get the full course
Examples
Root position and first inversion.
2. Making first inversions
Video
Get the full course
Examples
Which tones do you get if you make first inversions on the natural notes?
3. The sixth chord
Another name for the first inversion of a triad is: a sixth chord.
Video
Get the full course
Examples
The structure of the sixth chord.
4. The second inversion
When a triad is played with the fifth as the lowest tone, it is called the second inversion.

Listen to the sound of the root position and second inversion.
Root position A C E: A, the root, is on the bottom.
Second inversion of the triad A C E becomes E A C: E, the fifth, is on the bottom and A is the root.
Video
Get the full course
Examples
Root position and second inversion.
5. Making second inversions
Video
Get the full course
Examples
Which tones do you get if you make second inversions on the natural notes?
6. The six-four chord
Another name for the second inversion of a triad is: a six-four chord.
Video
Get the full course
Examples
The structure of the six-four chord.
7. Practise
Harmony exercise 4j: practise recognizing the position of major and minor triads from musical notation.
Harmony exercise 4k: practise determining the lowest tone of an inversion.
Making inversions of triads with a given root
Harmony exercise 4l: practise making inversions of major and minor triads with given root on the natural notes.
Harmony exercise 4m: practise making inversions of major and minor triads with given root on all notes.
Making inversions of triads on a given note
Harmony exercise 4n: practise making inversions of major and minor triads on the natural notes.
Harmony exercise 4o: practise making inversions of major and minor triads on all notes.
Get the full course8. Ear training
Learn to distinguishing the difference between root position and inversions of major and minor triads by ear.
Exercises with major triads
Ear Training exercise 4j: distinguishing the difference between a root position and first inversion of the major triad by ear.
Ear Training exercise 4k: distinguishing the difference between a root position and second inversion of the major triad by ear.
Ear Training exercise 4l: distinguishing the difference between a first and second inversion of the major triad by ear.
Exercises with minor triads
Ear Training exercise 4m: distinguishing the difference between a root position and first inversion of the minor triad by ear.
Ear Training exercise 4n: distinguishing the difference between a root position and second inversion of the minor triad by ear.
Ear Training exercise 4o: distinguishing the difference between a first and second inversion of the minor triad by ear.
Get the full courseExample question
Which position of the minor triad do you hear?
Choise 1: first inversion
Choise 2: second inversion
Practical steps
Sing the triad being played to train your inner hearing abilties. Determine which of the three notes played is the root (in case of an inversion, pay special attention to the distance fifth - root, this is a fourth). The root is the tone in the middle, the fifth is the lowest tone and the third is the highest tone.
Answer: second inversion.
Summary
The first and second inversion
- When a triad is played with the third as the lowest tone, it is called the first inversion
- Another name for the first inversion of a triad is: a sixth chord
- When a triad is played with the fifth as the lowest tone, it is called the second inversion
- Another name for the second inversion of a triad is: a six-four chord
Practise
Harmony exercise 4j: practise recognizing the position of major and minor triads from musical notation.
Harmony exercise 4k: practise determining the lowest tone of an inversion.
Making inversions of triads with a given root
Harmony exercise 4l: practise making inversions of major and minor triads with given root on the natural notes.
Harmony exercise 4m: practise making inversions of major and minor triads with given root on all notes.
Making inversions of triads on a given note
Harmony exercise 4n: practise making inversions of major and minor triads on the natural notes.
Harmony exercise 4o: practise making inversions of major and minor triads on all notes.
Get the full courseEar training
Learn to distinguishing the difference between root position and inversions of major and minor triads by ear.
Exercises with major triads
Ear Training exercise 4j: distinguishing the difference between a root position and first inversion of the major triad by ear.
Ear Training exercise 4k: distinguishing the difference between a root position and second inversion of the major triad by ear.
Ear Training exercise 4l: distinguishing the difference between a first and second inversion of the major triad by ear.
Exercises with minor triads
Ear Training exercise 4m: distinguishing the difference between a root position and first inversion of the minor triad by ear.
Ear Training exercise 4n: distinguishing the difference between a root position and second inversion of the minor triad by ear.
Ear Training exercise 4o: distinguishing the difference between a first and second inversion of the minor triad by ear.
Get the full course