Assignment : Chords & Harmony – Building Musical Depth

Table of Contents
1. Fundamentals of Chords
2. Types of Chords
3. Chord Inversions
4. Harmonic Function and Roman Numeral Analysis
5. Chord Progressions
6. Cadences-Musical Punctuation
7. Voice Leading
8. Harmonic Rhythm
9. Chord Extensions and Alterations
10. Non-Chord Tones
11. Modulation and Key Changes
12. Harmonic Analysis
13. Common Student Mistakes-Trap Alerts
View more

Chords and harmony form the backbone of musical depth and richness. A chord is the simultaneous sounding of three or more musical notes. Harmony refers to the relationship between chords and how they support melody. Understanding how chords are constructed, their types, progressions, and harmonic functions helps musicians create emotional depth and structure in compositions. This topic covers chord construction, intervals, triads, seventh chords, extensions, chord progressions, cadences, voice leading, and harmonic analysis-essential knowledge for any serious music student or performer.

1. Fundamentals of Chords

1.1 Definition and Basic Concepts

• Chord: A combination of three or more notes played simultaneously, creating vertical harmony in music.
• Root: The foundational note of a chord from which the chord is built and named (e.g., in C major chord, C is the root).
• Harmony: The art and science of combining chords to support melody and create emotional progression in music.
• Vertical vs Horizontal Music: Harmony is vertical (notes stacked at one moment), while melody is horizontal (notes moving through time).

1.2 Intervals-The Building Blocks

Chords are built from intervals, which are the distances between two notes.

• Perfect Intervals: Unison (0 semitones), Perfect 4th (5 semitones), Perfect 5th (7 semitones), Perfect Octave (12 semitones).
• Major Intervals: Major 2nd (2 semitones), Major 3rd (4 semitones), Major 6th (9 semitones), Major 7th (11 semitones).
• Minor Intervals: Minor 2nd (1 semitone), Minor 3rd (3 semitones), Minor 6th (8 semitones), Minor 7th (10 semitones).
• Augmented and Diminished: Augmented intervals are one semitone larger than perfect or major; diminished intervals are one semitone smaller than perfect or minor.

2. Types of Chords

2.1 Triads-Three-Note Chords

A triad is a three-note chord built by stacking two intervals of a third.

• Major Triad: Root + Major 3rd (4 semitones) + Perfect 5th (7 semitones). Example: C-E-G (C major). Sound: bright, happy, stable.
• Minor Triad: Root + Minor 3rd (3 semitones) + Perfect 5th (7 semitones). Example: A-C-E (A minor). Sound: sad, somber, introspective.
• Diminished Triad: Root + Minor 3rd (3 semitones) + Diminished 5th (6 semitones). Example: B-D-F (B diminished). Sound: tense, unstable, dissonant.
• Augmented Triad: Root + Major 3rd (4 semitones) + Augmented 5th (8 semitones). Example: C-E-G# (C augmented). Sound: mysterious, unresolved, dreamy.

2.2 Seventh Chords-Four-Note Chords

Seventh chords add a fourth note (a seventh interval from the root) to triads, creating richer harmonic colors.

• Major Seventh (Maj7): Major triad + Major 7th. Example: C-E-G-B (Cmaj7). Sound: jazzy, sophisticated, dreamy.
• Dominant Seventh (7): Major triad + Minor 7th. Example: G-B-D-F (G7). Sound: strong tension, demands resolution, fundamental in blues and jazz.
• Minor Seventh (m7): Minor triad + Minor 7th. Example: D-F-A-C (Dm7). Sound: mellow, smooth, jazzy.
• Half-Diminished Seventh (m7♭5): Diminished triad + Minor 7th. Example: B-D-F-A (Bm7♭5). Sound: jazzy tension, often used in ii-V-I progressions.
• Diminished Seventh (dim7): Diminished triad + Diminished 7th. Example: B-D-F-A♭ (Bdim7). Sound: extremely tense, symmetrical structure (divides octave equally).

2.3 Extended Chords

Extended chords go beyond the seventh by adding ninths, elevenths, and thirteenths.

• Ninth Chords (9): Seventh chord + Major or Minor 9th. Example: Cmaj9 (C-E-G-B-D). Common in jazz and contemporary music.
• Eleventh Chords (11): Ninth chord + Perfect or Augmented 11th. Example: Dm11 (D-F-A-C-E-G). Creates spacious, complex harmony.
• Thirteenth Chords (13): Eleventh chord + Major or Minor 13th. Example: G13 (G-B-D-F-A-C-E). Full, rich sound used in jazz and sophisticated pop.
• Suspended Chords (sus): Replace the 3rd with either 2nd or 4th. Example: Csus4 (C-F-G) or Csus2 (C-D-G). Sound: open, unresolved, neither major nor minor.
• Added Tone Chords: Triads with added notes without implying seventh. Example: Cadd9 (C-E-G-D). Brighter than plain triads.

3. Chord Inversions

3.1 What Are Inversions?

Inversion occurs when a note other than the root is the lowest (bass) note of the chord.

• Root Position: Root note is in the bass. Example: C-E-G (C major in root position).
• First Inversion: Third of the chord is in the bass. Example: E-G-C (C major in first inversion). Notation: C/E.
• Second Inversion: Fifth of the chord is in the bass. Example: G-C-E (C major in second inversion). Notation: C/G.
• Third Inversion: Only for seventh chords-seventh is in the bass. Example: B-C-E-G (Cmaj7 in third inversion). Notation: Cmaj7/B.

3.2 Purpose of Inversions

• Smooth Voice Leading: Inversions allow bass notes to move by step rather than leap, creating smoother progressions.
• Harmonic Interest: Different inversions provide varied emotional colors even with the same chord.
• Bass Line Movement: Creates melodic interest in the bass, essential for good harmonic writing.

4. Harmonic Function and Roman Numeral Analysis

4.1 Scale Degree Chords

Each degree of the major or minor scale has a chord built on it, analyzed using Roman numerals.

Major Key Diatonic Chords:

• I: Tonic (major)-home base, stable, point of rest. Example in C major: Cmaj.
• ii: Supertonic (minor)-often precedes V, creates gentle movement. Example: Dm.
• iii: Mediant (minor)-weak function, often substitutes for I. Example: Em.
• IV: Subdominant (major)-moves away from tonic, creates forward motion. Example: Fmaj.
• V: Dominant (major)-strongest pull back to I, creates tension. Example: Gmaj or G7.
• vi: Submediant (minor)-relative minor, often substitutes for I. Example: Am.
• vii°: Leading tone (diminished)-strong pull to I, rarely used in root position. Example: Bdim.

Minor Key Diatonic Chords (Natural Minor):

• i: Tonic (minor). Example in A minor: Am.
• ii°: Supertonic (diminished). Example: Bdim.
• III: Mediant (major). Example: Cmaj.
• iv: Subdominant (minor). Example: Dm.
• v: Dominant (minor)-but often raised to V major in harmonic minor for stronger resolution. Example: Em or E7.
• VI: Submediant (major). Example: Fmaj.
• VII: Subtonic (major). Example: Gmaj.

4.2 Harmonic Functions

Chords are grouped into three main functional categories:

• Tonic Function (T): I, iii, vi-provide stability and resolution. Home base of the key.
• Subdominant Function (S): IV, ii-create departure from tonic, pre-dominant movement.
• Dominant Function (D): V, vii°-create tension and demand resolution back to tonic.

5. Chord Progressions

5.1 What Is a Chord Progression?

A chord progression is a sequence of chords played in succession. It forms the harmonic framework of a piece.

5.2 Common Progressions

• I-IV-V-I: Most fundamental progression in Western music. Example in C: C-F-G-C. Used in countless folk, rock, and pop songs.
• I-V-vi-IV: Modern pop progression. Example: C-G-Am-F. Known as the "four-chord progression," used in thousands of hit songs.
• ii-V-I: Jazz standard progression. Example in C: Dm7-G7-Cmaj7. Creates smooth, sophisticated resolution.
• I-vi-IV-V: Classic 1950s progression. Example: C-Am-F-G. Known as the "doo-wop" progression.
• vi-IV-I-V: Emotional progression. Example: Am-F-C-G. Creates melancholic but hopeful feeling.
• I-IV-I-V: Blues progression foundation. Example: C-F-C-G. Forms basis of 12-bar blues.

5.3 Circle of Fifths Progressions

• Descending Fifths: Strongest harmonic motion. Example: I-IV-vii°-iii-vi-ii-V-I. Each root moves down by perfect fifth (or up by perfect fourth).
• Sequential Progressions: Moving through circle creates natural, inevitable-sounding progressions used in classical and jazz.

6. Cadences-Musical Punctuation

6.1 Definition

A cadence is a harmonic formula that creates a sense of resolution or pause, functioning like punctuation in language.

6.2 Types of Cadences

• Authentic Cadence (V-I or V7-I): Strongest resolution, sounds complete. Like a period (.) in writing.
  • Perfect Authentic: Both chords in root position, tonic note in soprano at resolution.
  • Imperfect Authentic: Either chord inverted or non-tonic note in soprano.
• Plagal Cadence (IV-I): Gentle resolution. Known as the "Amen cadence" from church hymns. Softer than authentic cadence.
• Half Cadence (Any-V): Ends on dominant chord, creates question mark effect. Sounds unfinished, requires continuation.
• Deceptive Cadence (V-vi): Dominant resolves to vi instead of expected I. Creates surprise or continuation. Sounds like avoiding the expected resolution.

7. Voice Leading

7.1 Definition and Importance

Voice leading is the smooth movement of individual notes (voices) from one chord to the next. Good voice leading creates fluid, singable lines within harmony.

7.2 Basic Principles

• Common Tone Retention: Keep notes that are common between consecutive chords in the same voice. Example: C-E-G to C-F-A, keep C.
• Stepwise Motion: Move voices by steps (whole or half steps) rather than leaps when possible. Creates smooth, connected sound.
• Contrary Motion: When one voice moves up, another moves down. Creates independence and avoids parallel motion errors.
• Avoid Parallel Fifths and Octaves: Two voices moving in parallel perfect fifths or octaves sounds hollow and is considered an error in classical harmony.
• Resolve Tendency Tones: Leading tone (7th scale degree) rises to tonic; seventh of dominant chord descends by step.

7.3 Four-Part Harmony

• SATB: Soprano, Alto, Tenor, Bass-standard arrangement for chorus or four-part writing.
• Voice Ranges: Each voice stays within comfortable range to maintain balance and singability.
• Spacing: Upper three voices (SAT) generally within an octave of each other; bass can be farther below.

8. Harmonic Rhythm

8.1 Definition

Harmonic rhythm is the rate at which chords change in a piece of music.

8.2 Types and Effects

• Fast Harmonic Rhythm: Chords change frequently (every beat or half-beat). Creates energy, excitement, complexity.
• Slow Harmonic Rhythm: Chords change infrequently (every measure or several measures). Creates stability, spaciousness, simplicity.
• Variable Harmonic Rhythm: Changing speeds of chord changes within a piece. Creates dynamic contrast and structural interest.
• Structural Use: Often slow at beginnings/endings (stable), faster in middle sections (active).

9. Chord Extensions and Alterations

9.1 Alterations

Altered chords modify chord tones by raising or lowering them by a half step.

• Altered Fifths: ♭5 (flattened fifth) or #5 (sharpened fifth). Example: C7♭5 or C7#5.
• Altered Ninths: ♭9 or #9 added to dominant chords. Example: G7♭9 or G7#9. Creates jazz tension.
• Altered Dominant: Combines multiple alterations for maximum tension. Example: G7♭9#5. Used extensively in bebop and modern jazz.

9.2 Chord Substitution

• Tritone Substitution: Replace dominant chord with dominant chord a tritone (6 semitones) away. Example: G7 → D♭7 (in key of C). Common in jazz for chromatic bass movement.
• Relative Substitution: Replace major chord with relative minor or vice versa. Example: C → Am. Maintains similar harmonic function.
• Secondary Dominants: Temporarily tonicize (treat as tonic) chords other than I by using their V7. Example in C major: A7 → Dm (V7/ii → ii). Creates temporary modulation feeling.

10. Non-Chord Tones

10.1 Definition

Non-chord tones (or non-harmonic tones) are notes that do not belong to the current chord but add melodic interest and expression.

10.2 Types

• Passing Tone (PT): Fills space between two chord tones by step. Can be accented or unaccented.
• Neighbor Tone (NT): Steps away from chord tone and returns. Upper neighbor (above) or lower neighbor (below).
• Suspension (SUS): Delays resolution by holding note from previous chord, then resolves down by step. Creates tension and release.
• Anticipation (ANT): Arrives at next chord tone early, before harmony changes. Creates forward momentum.
• Appoggiatura (APP): Accented non-chord tone approached by leap, resolved by step. Creates dramatic dissonance.
• Escape Tone (ESC): Approached by step, left by leap in opposite direction.
• Pedal Point/Pedal Tone: Sustained or repeated note (usually bass) while harmonies change above it. Creates stability or tension depending on context.

11. Modulation and Key Changes

11.1 Modulation Defined

Modulation is the process of changing from one key center to another within a composition.

11.2 Types of Modulation

• Direct (Phrase) Modulation: Abrupt key change without preparation. New key begins immediately at phrase boundary.
• Pivot Chord Modulation: Uses a chord common to both keys as a "pivot" to smoothly transition. Most common in classical music.
• Common Tone Modulation: Uses a note common to both keys to link them, even if chord functions differ.
• Chromatic Modulation: Uses chromatic chords or voice leading to slide into new key. Creates smooth, sophisticated transition.
• Sequential Modulation: Repeats musical pattern at different pitch levels, eventually arriving in new key.

11.3 Closely Related Keys

• Relative Major/Minor: Share same key signature (e.g., C major and A minor). Easiest modulation.
• Parallel Major/Minor: Same tonic note (e.g., C major and C minor). Dramatic color change.
• Dominant and Subdominant Keys: One sharp or flat different from original key. Example from C major: G major (dominant) or F major (subdominant).

12. Harmonic Analysis

12.1 Purpose of Analysis

Analyzing harmony helps understand structural logic, identify patterns, and interpret composer's intentions. Essential for performance, composition, and arrangement.

12.2 Steps in Analysis

1. Identify Key: Determine tonic by examining key signature, first/last chords, and emphasized notes.
2. Label Chords with Roman Numerals: Identify each chord's root and quality relative to scale. Uppercase for major/augmented, lowercase for minor/diminished.
3. Mark Inversions: Use figured bass notation (6 for first inversion, 6/4 for second inversion) or slash notation.
4. Identify Non-Chord Tones: Label passing tones, suspensions, etc., to distinguish them from harmony.
5. Recognize Cadences: Mark phrase endings with cadence types.
6. Note Modulations: Identify pivot chords and new key centers.
7. Observe Harmonic Rhythm: Track the pace of chord changes and its structural implications.

12.3 Common Analytical Markings

• T-S-D: Functional labels (Tonic, Subdominant, Dominant).
• HC, PAC, IAC, PC, DC: Cadence abbreviations (Half, Perfect Authentic, Imperfect Authentic, Plagal, Deceptive).
• V7/V: Secondary dominant notation (dominant of dominant).
• Ger+6, It+6, Fr+6: Augmented sixth chord types (German, Italian, French).

13. Common Student Mistakes-Trap Alerts

• Confusing Chord Names with Functions: A "vi" chord is Am in C major, but its function is tonic substitute, not dominant. Focus on function, not just name.
• Parallel Fifths/Octaves: Moving two voices in the same direction by perfect fifth or octave is a classical voice-leading error. Always check outer voices (soprano and bass).
• Doubling Leading Tone: Never double the leading tone (7th scale degree) in four-part harmony-it creates awkward resolution problems.
• Misidentifying Inversions: The bass note (lowest sounding note) determines inversion, not the lowest note in the chord symbol or staff.
• Ignoring Voice Ranges: Crossing voices or writing beyond comfortable ranges creates unsingable, unbalanced harmony.
• Forgetting to Resolve Dominant Seventh: The seventh of a V7 chord must resolve down by step; the leading tone must resolve up to tonic. Skipping this creates unsatisfying harmony.
• Overusing Root Position: All chords in root position sound static and clunky. Use inversions for smoother bass lines and better voice leading.
• Wrong Roman Numeral Case: Uppercase = major or augmented; lowercase = minor or diminished. Writing "III" in major key is incorrect-should be "iii".

Mastering chords and harmony requires understanding both theoretical structure and practical application. Start by building solid knowledge of intervals, triads, and seventh chords. Practice identifying chord progressions in songs you know. Analyze music across different genres to see how composers use harmonic tools differently. Good harmony creates the emotional landscape of music-it supports melody, drives forward motion, and provides resolution. Whether composing, arranging, or performing, deep harmonic understanding transforms your musical expression from simple to sophisticated.