Roman Numeral Analysis

Learn the universal language for understanding harmonic function and chord relationships

The Universal Language of Harmony

Roman numeral analysis is like having X-ray vision for music. Instead of just seeing chord names, you'll understand harmonic function - why chords work together and how they create emotional movement. This system works across all keys and genres.

Key Independence

Learn patterns once, apply them in any key. I-V-vi-IV works in C major, G major, or any major key.

Functional Understanding

See how chords have jobs: I = home, V = tension, IV = departure. Understanding function predicts resolution.

The Roman Numeral System

I - Major

Example: C

Function: Tonic
Stability: Very Stable

ii - minor

Example: Dm

Function: Subdominant
Stability: Moderately Stable

iii - minor

Example: Em

Function: Tonic (weak)
Stability: Unstable

IV - Major

Example: F

Function: Subdominant
Stability: Stable

V - Major

Example: G

Function: Dominant
Stability: Unstable (resolves to I)

vi - minor

Example: Am

Function: Tonic (relative)
Stability: Moderately Stable

vii° - diminished

Example: B°

Function: Dominant
Stability: Very Unstable

Notation Rules

Case Rules

  • Uppercase = Major chords: I, IV, V
  • Lowercase = minor chords: ii, iii, vi
  • ° = diminished chord: vii°

Extensions & Modifiers

  • Extensions: V7, ii7, IM7
  • Inversions: V6 (first inversion), V64 (second inversion)
  • Secondary dominants: V/V (five of five)

Common Progressions in Roman Numerals

I-V-vi-IV

Universal Pattern

The "pop progression" - stable to tension to departure to return preparation

Numerals: I - V - vi - IV
Example in C: C - G - Am - F

vi-IV-I-V

Universal Pattern

Emotional journey from introspection to resolution to tension

Numerals: vi - IV - I - V
Example in C: Am - F - C - G

I-vi-IV-V

Universal Pattern

Classic 50s progression - smooth voice leading with strong functional movement

Numerals: I - vi - IV - V
Example in C: C - Am - F - G

ii-V-I

Universal Pattern

Jazz standard cadence - subdominant preparation to dominant resolution

Numerals: ii - V - I
Example in C: Dm - G - C

Analysis in Action: "Wonderwall" by Oasis

Verse Progression Analysis

Em - G - D - C (Key of G: vi - I - V - IV)

vi (Em): Relative minor - introspective, emotional
I (G): Tonic - home, resolution
V (D): Dominant - tension, forward motion
IV (C): Subdominant - departure, sets up return
  • Starts with emotional vulnerability (vi)
  • Moves to stability (I)
  • Creates forward momentum (V)
  • Leaves us hanging on IV, wanting resolution back to vi
  • Emotional Arc: Melancholy → Hope → Tension → Yearning (perfect for the lyrics!)

Quick Reference Guide

Stable Functions

I (tonic), vi (relative minor), iii (weak tonic) - these feel like "home" or resting points

Departure Functions

IV (subdominant), ii (subdominant) - these move away from home, create motion

Dominant Functions

V (dominant), vii° (leading tone) - these create tension that wants to resolve to I

Practice Exercises

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Theory Connections

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Add Chords

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Altered Dominant Chords

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Augmented Chords

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Diminished Chords

Practice Exercises

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