Harmonic Experience: Tonal Harmony from Its Natural Origins to Its Modern Expression

Contents

• Editor's Preface
• Introduction
• Part 1: Harmonic Purity: Feeling the Numbers
• 1 Seeing Air and Touching Sound
• 2 Singing Unison with a Drone
• 3 Singing Octaves
• 4 Singing Perfect Fifths
• 5 Singing Major Thirds
• 6 A Map of Harmonic Relationships
• 7 The Perfect Fifth Below: Hello Mother
• 8 The Major Third Below
• 9 The Central Section of the Map Completed
• 10 The Five-limit Lattice of Twelve Notes
• 11 Available Modes: Lydian Through Phrygian
• 12 Mixed Modes
• 13 Internalizing the Lattice
• 14 Numbers and Mysteries
• 15 Chomatic Pairs
• 16 Beyond Twelve Notes: The Extended Five-Limit Lattice
• 17 The Seventh Partial and Beyond
• 18 The Practice of Pure Harmony
• Part 2: The Selective Use of Equal Temperament
• 19 Leaping from Paradise
• 20 Six Unambiguous Chords
• 21 Twelve Unambiguous Chords: Tonal Harmony within the Lattice of Twelve
• Notes
• 22 Unambiguous Triadic Harmony in the Extended Lattice
• 23 Dronality in Equal Temperament: Mixed Modes
• 24 Dronality in Equal Temperament: Mixed Modes
• 25 Chromatic Pairs and the Magic Mode
• 26 Pushing the Magic Mode Envelope
• Part 3: The Function Commas of Equal-Tempered Tonal Harmony
• 27 Comma Phenomena
• 28 Didymic Pairs of Tones
• 29 Didymic Pairs of Triads
• 30 The Great Diesis: The Beauty of the Beast
• 31 The Tonal Array of the Great Diesis
• 32 The Diaschisma
• 33 Quasi-functional and Nonfunctional Commas
• 34 The Shape of Tonality
• Part 4: Harmonic Practice, Analysis, and Review of the Theory
• 35 Practical Matters
• 36 A Small Syllabus of Diatonic Sequences
• 37 Cadential Practices: Parallel Borrowing
• 38 The Long Cadence: A Comprehensive View of Cadential Energy
• 39 Tonicization and Modulation
• 40 Modal Modulation
• 41 A Syllabus of Cyclic Sequences
• 42 Symmetrical Harmony and the Dissolution of Tonality
• 43 The Notation of Positional Analysis
• 44 Review of the Theory
• Afterword
• Glossary of Terms
• Glossary of Singable Tones in Just Intonation
• Sources
• Acknowledgments
• General Index
• Index of Ratios
• Index of Most-Referenced Examples, Figures, and Tables