In every triad there are three different ways they can be structured. This means that the note in the base of the triad will be different depending on the inversion.
Root: 1st (root), 3rd then 5th note of the triad.
1st inversion: 3rd, 5th then 1st (root) note of the triad.
2nd inversion: 5th, 1st (root) then 3rd note of the triad.
If we look at the picture below, the first triad contains notes C, E and G. This is the triad of C major. The root position triad of C major will have C in the base (bottom note), the 1st inversion will have E in the base and the 2nd inversion will have G in the base. The first triad has an E in the base so it is C major 1st inversion.
If we look at the fourth triad in the picture, it has notes C, E and G again so it is also C major but the note in the base is G, so this triad is C major 2nd inversion.
C major triad in root: C E G
C major triad in 1st inversion: E G C
C major triad in 2nd inversion: G C E
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All triads are worked out in the same way:
F major triad in root: F A C
F major triad in 1st inversion: A C F
F major triad in 2nd inversion: C F A
The minor triads are the same:
G minor triad in root: G Bb D
G minor triad in 1st inversion: Bb D G
G minor triad in 2nd inversion: D G Bb
Baxter, Harry and Michael Baxter. The Right Way To Read Music. Tadworth: Right Way, 1993. Print, pp. 66.
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