What does a Roman numeral name?
Number the notes of the scale 1 to 7 and build a triad on each one, using only notes of the key. The Roman numeral is the number of the note the chord starts on: I is the chord on the first note, IV the chord on the fourth, V the chord on the fifth. It says where the chord sits in the key, not which notes it contains.
The case of the numeral gives the quality. A capital letter is a major triad, a lowercase letter a minor one, and a small circle after a lowercase numeral marks a diminished one. In a major key the pattern never changes: major, minor, minor, major, major, minor, diminished. Minor keys have a pattern of their own (natural minor, with the raised seventh used only inside V and vii°): i, ii°, III, iv, V, VI, vii°. Of these i and iv are minor, III, V and VI major, ii° and vii° diminished.
| Numeral | Chord in C | Quality |
|---|---|---|
| I | C | major |
| ii | Dm | minor |
| iii | Em | minor |
| IV | F | major |
| V | G | major |
| vi | Am | minor |
| vii° | Bdim | diminished |
How do you read I–IV–V–I in C and in A minor?
To read a string of numerals, find the note of the key that each number points to. In C major, I–IV–V–I is C, F, G, C. Move to G major and the numerals stay put while the letters follow the key: G, C, D, G. That portability is the whole reason for using numerals.
Minor keys use the same system with one catch. In A minor the main chords are i, iv and V: A minor, D minor and E major. The V is a capital because the seventh note of the scale is raised (G becomes G♯), which gives the chord the pull back to the tonic. That raised note is why V is major, where the natural minor scale would give a minor v, while i and iv stay lowercase. Leave the seventh natural and the chord on it is VII, a major chord (G–B–D in A minor); vii° is the diminished chord built on the raised note (G♯–B–D).
What do °, ø and the small numbers mean?
| Mark | Means | Example in C |
|---|---|---|
| ° | a diminished triad (with a seventh, a diminished seventh chord) | vii° = B–D–F |
| ø | a half-diminished seventh chord | viiø7 = B–D–F–A |
| 7 | a seventh added on top | V7 = G–B–D–F |
| ⁶ ⁶₄ | an inversion: which note is lowest | I⁶ = E–G–C / I⁶₄ = G–C–E |
Small figures such as ⁶ and ⁶₄ are the same numbers a figured bass uses: they say which note of the chord is lowest. V7 and V⁷ are one chord, the raised figure being only a way of typesetting it. In a pop or jazz analysis a plain 6 after a numeral (I6) is a sixth chord, not an inversion; the small raised ⁶ of classical figures (I⁶) is the inversion.
How is a numeral different from a chord symbol?
A numeral names the degree a chord is built on, while a chord symbol names its notes outright. The reference has an entry on chord symbols, which sets the two side by side.