Triads and inversions:
In order to check if you are really sure of the interval structure of a triad or its inversion, a good exercise is to build a triad and its inversions from the same note (as fast as possible). Do this theoretically (note names) and practically (playing/singing on note names).
In the examples you find:
- Root positions on the 7 white-key notes
- sixth-chords on the 7 white-key notes
- six-four chords on the 7 white-key notes
A very useful exercise is to build root position and inversions of a triad starting from the same lowest note. If you can do this quickly and without hesitation you will have acquired what we call fluency. 🙂
Example: major triad
- root position built on top of D: D - F# - A
- sixth-chord built on top of D: D - F - Bb
- six-four chord built on top of D: D - G - B
Notation example1: 4 triads on 7 white-key notes

Notation example 2: sixth chords of 4 triads on 7 white-key notes:

Notation example 3: six-four chords of 4 triads on 7 white-key notes:
