Zusatztext
"Mathieu is consistently proving himself to be one of the best in musical theory."

Informationen zum Autor
W. A. Mathieu is the author of The Listening Book and The Musical Life. His compositions and solo piano music have been extensively recorded. He lives in Sebastopol, California, where he writes, composes, and teaches.

Klappentext

An accomplished recording artist, author, and teacher presents an in-depth look at the way we experience musical harmony.

Zusammenfassung
An exploration of musical harmony from its ancient fundamentals to its most complex modern progressions, addressing how and why it resonates emotionally and spiritually in the individual.

Inhaltsverzeichnis
**
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**

...

"This volume offers experiential keys to help unlock the mystery of how music works its deep affect upon us. Harmonic Experience extends any reader's understanding of music and is a user-friendly, elegant and graceful work. It is a technical treatise about the inner workings of music."

Autorentext

W. A. Mathieu is the author of The Listening Book, Harmonic Experience and The Musical Life. He has recorded solo piano music for Windham Hill and other labels. He lives in Sebastopol, California, where he writes and teaches.

Klappentext

An exploration of musical harmony from its ancient fundamentals to its most complex modern progressions, addressing how and why it resonates emotionally and spiritually in the individual.

W. A. Mathieu, an accomplished author and recording artist, presents a way of learning music that reconnects modern-day musicians with the source from which music was originally generated. As the author states, "The rules of music--including counterpoint and harmony--were not formed in our brains but in the resonance chambers of our bodies." His theory of music reconciles the ancient harmonic system of just intonation with the modern system of twelve-tone temperament. Saying that the way we think music is far from the way we do music, Mathieu explains why certain combinations of sounds are experienced by the listener as harmonious. His prose often resembles the rhythms and cadences of music itself, and his many musical examples allow readers to discover their own musical responses.

Inhalt

**
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**