Why are some Roman numerals written in uppercase (I, IV, V) and others in lowercase (ii, iii, vi) in a major key analysis?
Think about your answer, then reveal below.
Model answer: The case signals chord quality. Uppercase numerals denote major chords; lowercase denote minor chords. In a major key, the chords built on scale degrees 1, 4, and 5 are naturally major (I, IV, V), while those on degrees 2, 3, and 6 are naturally minor (ii, iii, vi). Quality is determined by the key's scale, not assigned arbitrarily.
The diatonic scale already determines whether a triad built on each degree is major or minor. By matching case to quality, Roman numeral notation lets you read off both the root's position in the scale AND the chord type in a single symbol — more information than a letter name alone would provide.