Advanced Music Theory & Composition

Mastering the Art and Science of Music

Grades 9-12

Table of Contents

  1. Advanced Scales & Modes
  2. Seventh Chords & Extensions
  3. Chord Progressions & Analysis
  4. Voice Leading
  5. Counterpoint Basics
  6. Form & Analysis
  7. Modulation
  8. Composition Techniques
  9. Arranging & Orchestration
  10. Music & Worship

Course Introduction

"Sing unto Him a new song; play skillfully with a loud noise." - Psalm 33:3

This advanced course will equip you to:

Prerequisites: Basic music theory (scales, intervals, triads, rhythm, key signatures)

1Advanced Scales & Modes

The Church Modes

Modes are scales that use the same notes as major scales but start on different degrees, creating unique colors.

Mode Pattern (from C) Character Use
Ionian (I)C-D-E-F-G-A-B-CBright, happyStandard major
Dorian (II)D-E-F-G-A-B-C-DMinor, jazzyJazz, folk
Phrygian (III)E-F-G-A-B-C-D-ESpanish, exoticFlamenco
Lydian (IV)F-G-A-B-C-D-E-FDreamy, brightFilm scores
Mixolydian (V)G-A-B-C-D-E-F-GBluesy majorRock, blues
Aeolian (VI)A-B-C-D-E-F-G-ANatural minorStandard minor
Locrian (VII)B-C-D-E-F-G-A-BDark, unstableRarely used

Identifying Modes

Each mode has a characteristic interval that defines its sound:

Other Scales:

Practice: Write these modes starting on G

G Dorian: G-A------G

G Mixolydian: G-A------G

2Seventh Chords & Extensions

Building Seventh Chords

Add a seventh above the root to create richer harmony.

Type Symbol Construction Example (C)
Major 7thCmaj7, CΔ7Major + M7C-E-G-B
Dominant 7thC7Major + m7C-E-G-Bb
Minor 7thCm7, C-7Minor + m7C-Eb-G-Bb
Half-DiminishedCø7, Cm7b5Dim + m7C-Eb-Gb-Bb
Fully DiminishedCdim7, C°7Dim + dim7C-Eb-Gb-Bbb(A)
Minor-Major 7thCmM7Minor + M7C-Eb-G-B

Seventh Chords in Major Keys:

I - Imaj7 | ii - iim7 | iii - iiim7 | IV - IVmaj7 | V - V7 | vi - vim7 | vii - viiø7

In C: Cmaj7 - Dm7 - Em7 - Fmaj7 - G7 - Am7 - Bø7

Extensions (9ths, 11ths, 13ths):

Continue stacking thirds beyond the seventh:

Practice: Build These Chords

  1. Gmaj7: G---
  2. Am7: A---
  3. D7: D---

3Chord Progressions & Analysis

Roman Numeral Analysis

Analyze chords by their function within a key:

Common Progressions:

Progression In C Major Genre/Use
I - IV - V - IC - F - G - CRock, folk, hymns
I - V - vi - IVC - G - Am - FPop (the "4-chord song")
ii - V - IDm - G - CJazz standard
I - vi - IV - VC - Am - F - G50s rock, doo-wop
vi - IV - I - VAm - F - C - GModern pop/worship
I - IV - vi - VC - F - Am - GContemporary

Functional Harmony

Chords have functions:

Typical motion: T → S → D → T

Secondary Dominants:

Any chord can be "tonicized" by placing its V chord before it:

V/V = D7 in C (makes G feel like temporary "home")

Common: V/V, V/ii, V/vi

Analyze This Progression in C:

C - Am - Dm - G7 - C

Roman numerals: - - - -

4Voice Leading

Voice leading is the art of moving individual notes (voices) smoothly from chord to chord.

Basic Rules:

  1. Move by step when possible - Smooth motion sounds better
  2. Keep common tones - If two chords share a note, keep it in the same voice
  3. Contrary motion - When bass moves up, upper voices move down (and vice versa)
  4. Avoid parallel fifths and octaves - Sounds hollow
  5. Resolve tendency tones - Leading tone (7) → Tonic (1); Fa (4) → Mi (3)

SATB Writing

Four-part harmony uses four voices:

Keep adjacent voices within an octave (except bass-tenor can be wider).

Chord Inversions:

Use inversions for smoother bass lines!

5Counterpoint Basics

Counterpoint is the art of combining independent melodic lines that work together harmonically.

Species Counterpoint (After Fux):

  1. First Species: Note against note (1:1)
  2. Second Species: Two notes against one (2:1)
  3. Third Species: Four notes against one (4:1)
  4. Fourth Species: Syncopation, suspensions
  5. Fifth Species: Florid - combines all

First Species Rules

Imitation:

One voice "imitates" another at a delay:

6Form & Analysis

Larger Forms:

Form Structure Description
Sonata FormExposition - Development - RecapitulationClassical symphonies, sonatas
Theme & VariationsA - A' - A'' - A''' etc.Theme transformed
RondoA-B-A-C-A or A-B-A-C-A-B-ARefrain returns
FugueExposition - Episodes - StrettoImitative polyphony
Through-composedA-B-C-D...No repetition

Sonata Form in Detail

Exposition:

Development: Themes fragmented, developed, modulations

Recapitulation: Both themes return in tonic key

Song Form Analysis:

Modern songs typically use:

Intro → Verse → Pre-Chorus → Chorus → Verse → Chorus → Bridge → Chorus → Outro

7Modulation

Modulation is changing from one key to another within a piece.

Types of Modulation:

1. Pivot Chord (Common Chord)

Find a chord that exists in BOTH keys:

C major → G major: The chord Em is iii in C and vi in G

C - Am - Em - D - G

Em functions as the pivot.

2. Direct (Phrase) Modulation

Simply start the new key at a phrase boundary - no transition.

3. Sequential Modulation

A pattern repeats at different pitch levels, landing in a new key.

Closely Related Keys:

Keys that differ by one accidental are closely related:

8Composition Techniques

"Sing unto Yahuah a NEW song!" - Psalm 96:1

The Composition Process:

  1. Inspiration: Prayer, Scripture, life experience
  2. Sketch: Melody idea, chord progression, rhythm
  3. Develop: Extend, vary, harmonize
  4. Structure: Organize into form
  5. Refine: Edit, improve, polish
  6. Notate: Write it down clearly

Melody Writing Tips

Harmonic Rhythm

How often chords change affects energy:

Motific Development:

A motif is a short musical idea. Develop it by:

Composition Project

Write a 16-bar melody using these guidelines:

9Arranging & Orchestration

Arranging is adapting music for specific instruments or voices.

Considerations:

Worship Band Arrangement:

Typical Roles

Arranging Tips:

10Music & Worship

"Let the word of Messiah dwell in you richly in all wisdom; teaching and admonishing one another in psalms and hymns and spiritual songs, singing with grace in your hearts to Yahuah." - Colossians 3:16

Purposes of Worship Music:

Qualities of Good Worship Music

Leading Worship:

Final Project: Write a Worship Song

Create an original worship song including:

"I will sing unto Yahuah as long as I live: I will sing praise to my Elohim while I have my being." - Psalm 104:33

Answer Key (Selected)

Unit 1:

G Dorian: G-A-Bb-C-D-E-F-G

G Mixolydian: G-A-B-C-D-E-F-G

Unit 2:

Gmaj7: G-B-D-F# | Am7: A-C-E-G | D7: D-F#-A-C

Unit 3:

C - Am - Dm - G7 - C = I - vi - ii - V7 - I