1) An augmented chord can be formed by using the first, third, and fifth (sharp) notes of a major scale (1 3 5#). A first inversion of the chord is (3 5# 1). A second inversion is (5# 1 3).
2) A diminished chord can be formed by using the first, third (flat), and fifth (flat) notes of a major scale (1 3b 5b). A first inversion of the chord is (3b 5b 1). A second inversion is (5b 1 3b). You can also form a diminished chord by using the first, third, and fifth (flat) notes of a minor scale.
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