In C major, the G major chord functions as V and creates strong tension pulling toward I. In D major, the same G major chord appears. A student claims 'G major always functions as dominant because it's G major.' What is wrong with this reasoning?
AG major can never function as dominant in D major because it lacks the leading tone of D major
BHarmonic function is determined by a chord's relationship to the current tonic, not its pitch content; G major is V in C major but IV in D major — the same chord can have entirely different function depending on key context
CThe student is wrong because G major is always a tonic chord, never dominant
DThe student is correct that G major always functions as dominant, but only in the context of major keys
This is the central insight of Roman numeral analysis: function is relational, not absolute. The chord G major contains the notes G, B, D — but what those notes *do* depends entirely on what key you're in. In C major, G is scale degree 5 (the dominant), B is the leading tone (scale degree 7), and the chord strongly pulls toward C. In D major, G is scale degree 4 (the subdominant), and there is no such pull toward D. Roman numerals make this explicit: V in C major and IV in D major are functionally different chords even though they share the same pitch content.
Question 2 Multiple Choice
A pop song repeats the progression I–V–vi–IV. How should a functional analyst best describe the harmonic arc of this progression?
AIt traces a T–D–T–S arc: tonic departs through dominant, arrives at vi as a tonic substitute (the relative minor), then continues through subdominant before cycling back to tonic
BIt is a dominant-centric progression because V appears in position two, making it harmonically unstable throughout
CIt is a perfect authentic cadence (V–I) embedded in a longer sequence
DThe progression is entirely subdominant because IV resolves directly back to I
The I–V–vi–IV progression traces the full T–S–D arc but begins mid-cycle. I is tonic. V is dominant — creates tension. vi is the relative minor, which shares two notes with I and functions as a tonic *substitute* (deceptive arrival — the ear expected I but got vi). IV is subdominant — a departure that cycles back. This is why the same progression in different starting positions (I–V–vi–IV, vi–IV–I–V, IV–I–V–vi, V–vi–IV–I) sounds recognizable: it's the same functional journey in different rotations. The 'axis' progression derives its ubiquity from cycling through all four functional areas.
Question 3 True / False
Roman numeral analysis is primarily a labeling system that identifies chord quality and root — it does not convey harmonic function or tell you what role a chord plays in a progression.
TTrue
FFalse
Answer: False
Roman numerals are specifically designed to encode harmonic function, not just chord identity. Writing 'G major' names a chord; writing 'V in C major' tells you that chord is the dominant — it creates directed tension toward tonic, contains the leading tone, and produces a strong authentic cadence when it resolves to I. The same chord written as IV in D major conveys a completely different function: subdominant departure rather than dominant tension. Roman numeral analysis reveals the harmonic *narrative* of a piece — what each chord does, not just what it is.
Question 4 True / False
The V–I progression feels conclusive partly because the leading tone (scale degree 7) has a strong tendency to resolve upward to the tonic (scale degree 1).
TTrue
FFalse
Answer: True
The strength of the V–I cadence comes from tendency tones — pitches with strong directional pull. The leading tone (one half step below tonic) has the strongest upward pull in tonal music. In a V7 chord, there is also a seventh above the root that has a downward pull toward the third of the tonic chord. When these tendency tones resolve simultaneously — leading tone rising to 1, seventh falling to 3 — the arrival at tonic feels conclusive and satisfying. IV–I (a 'plagal' cadence) lacks these tendency-tone mechanics, which is why it feels gentler and less decisive.
Question 5 Short Answer
Why does a V–I progression feel more conclusive than a IV–I progression? Describe the specific voice-leading tendencies that make dominant-to-tonic resolution so strong.
Think about your answer, then reveal below.
Model answer: The V chord contains the leading tone (scale degree 7), which sits one half step below tonic and has a powerful upward tendency to resolve to scale degree 1. In a dominant seventh chord (V7), there is also the seventh of the chord (scale degree 4), which has a downward tendency to resolve to scale degree 3 in the tonic chord. These two tendency tones move in contrary motion toward the tonic chord's root and third, creating a sense of simultaneous pull from two directions. IV–I lacks both of these: IV contains scale degree 4 but no leading tone, and scale degree 4 resolves downward to 3, producing a gentler, less directed motion. The half-step pull of the leading tone is what gives V–I its sense of inevitability.
This is why deceptive cadences (V–vi) are so effective: the dominant's tendency tones are still there and still resolve — scale degree 7 rises to 1 (part of vi), scale degree 4 falls toward 3 (also in vi) — but the bass moves to 6 instead of 1, creating a surprising arrival. The tension releases but lands somewhere unexpected.