Major triads contain a major 3rd interval from the root to the 3rd, while augmented, diminished, and minor triads do not.
A major 3rd interval from the root to the 3rd is present in major triads. For example, in a C major triad (C E G), the interval between C and E is a major 3rd.
In contrast, augmented, diminished, and minor triads do not have a major 3rd interval from the root to the 3rd. Instead, they consist of different interval qualities.
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