Harmony and Ear Training at the Keyboard

Preface

Unit I: The Diatonic Triads1

Keyboard Orientation2

Scales and Triads3

Major and Minor Triads in Root Position4

Repeated Triads5

Roots a Fifth Apart - Tonic and Dominant6

Roots a Fifth Apart - The Primary Triads7

Roots a Second Apart8

First Inversion of Triads9

Second Inversion of the Tonic Triad10

The Leading-Tone Triad11

The Supertonic Triad12

The Submediant Triad - Roots a Third Apart13

The Mediant Triad14

Review: Melody Harmonization with Triads

Unit II: Diatonic Modulation, Nonharmonic Tones, Seventh Chords15

Extensions of the Triad Vocabulary16

Diatonic Modulation (I)17

Diatonic Modulation (II)18

Nonharmonic Tones: Passing and Neighboring Tones19

Suspension and Anticipation20

Diatonic Seventh Chords: The Dominant Seventh21

The Supertonic Seventh22

The Leading Tone Seventh23

The Subdominant Seventh24

The Submediant, Tonic, and Mediant Sevenths25

Review: Melody Harmonization with Diatonic Seventh Chords

Unit III: Chromatic Harmony26

Introduction to Secondary Dominant27

Secondary Dominants of the Dominant28

Secondary Dominants of the Subdominant29

Secondary Dominants of the Supertonic30

Secondary Dominants of the Submediant31

Borrowed Chords32

The Neapolitan Sixth; Augmented Triads33

Chromatic Modulation34

Conventional Augmented-Sixth Chords35

Review: Melody Harmonization with Altered Chords

Unit III: Advanced Chromaticism and Twentieth-Century Harmony36

Ninth Chords - Jazz Harmony37

Additional Uses of the Augmented Sixth38

Enharmonic Modulation (I)39

Enharmonic Modulation (II)40

Harmonic Sequence41

Modal Harmony42

Parallel Harmony - The Whole-Tone Scale43

Quartal Harmony44

Bichords45

Serialism - Chords with Minor Seconds46

Review and Survey of Other Harmonic Techniques

Appendix1

Symmetrical Sonorities2

Selected References to Bach Chorale Harmonizations3

The Chopin Mazurkas: A Thesaurus of Chromatic Harmony

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