Augmented intervals are one semitone wider than perfect/major; diminished intervals are one semitone narrower than perfect/minor
Beyond perfect, major, and minor, intervals can be further stretched or compressed. Augmenting a perfect or major interval by one semitone creates an augmented interval. Diminishing a perfect or minor interval by one semitone creates a diminished interval. Imperfect intervals (2nd, 3rd, 6th, 7th) can occur in four forms: diminished, minor, major, augmented. Perfect intervals (prime, 4th, 5th, octave) occur in three forms: diminished, perfect, augmented. The diminished fifth (tritone, 6 semitones) between B and F in C major is notorious for its dissonant quality.
Examples
Perfect fifth C-G (7st) to augmented fifth C-G# (8st). Minor third C-Eb (3st) to diminished third C-Ebb (2st). The tritone F-B is a diminished fifth or augmented fourth.
Assessment
Identify: is C-F# an augmented fourth or diminished fifth? How many semitones is it?