AP® Music Theory · Unit 3 · Topic 3.2

Roman Numerals and Chord Symbols

A Roman numeral names a chord by its scale-degree position and quality within a key, not by its letter name, so the same numeral points to different chords in different keys.

Calling a chord G tells you exactly one thing: its root is the pitch G. Calling it V tells you something more useful inside a key: it is the chord built on the fifth scale degree, whatever letter that happens to be. That is why theorists reach for Roman numerals. They describe a chord's job in a key, so you can compare the same progression, say I-IV-V, across any key without relearning it each time.

The numeral encodes two things at once: scale degree and quality. The degree is shown by position in the scale (I through vii), and quality is shown by case and symbols. Uppercase means major, lowercase means minor, a lowercase numeral with a degree circle (°) means diminished, and uppercase with a plus sign (+) means augmented. So in B flat major, the triad on F is V and uppercase because F major is a major triad built on the fifth degree; G minor is vi, lowercase because it's minor and sits on the sixth degree; B flat itself is I, the tonic. In A major, ii stands for B minor, the triad on the second degree, which is naturally minor in a major key.

This connects directly to inversions and seventh chords, which pile onto the same Roman numeral: a superscript 6 or 6/4 shows which chord member is in the bass, and adding a 7 extends the triad to four notes. Once you can read quality and degree from the numeral, inversion figures and seventh-chord symbols are just more detail layered on the same label.

Key terms

Roman numeral
A label showing a chord's scale degree and quality within a key, such as V or vi.
Scale degree
A note's numbered position in a scale, counted from the tonic as 1.
Chord quality
Whether a triad is major, minor, diminished, or augmented, shown by case and symbols on the numeral.
Lead-sheet symbol
A chord label such as G or Dm that names a fixed pitch collection regardless of key.
Tonic
The first scale degree and home pitch of a key, labeled I.

Watch it explained

  1. How it worksHow do uppercase, lowercase, the degree circle, and the plus sign encode a chord's quality?
  2. Worked exampleFind the Roman numerals for the chords F, G minor, and B flat in the key of B flat major.
  3. Worked exampleFind which letter-name chord ii stands for in the key of A major.
  4. Common mistakeWhy isn't a Roman numeral the same thing as a chord symbol on a lead sheet?

Check yourself

Your turn1 of 2
A key's tonic sits 8 half steps above middle C. The Roman numeral V names the triad built a perfect fifth, seven half steps, above the tonic. How many half steps above middle C is the root of the V chord in this key?

End of topic.