Mapping the Music Universe

Thomas S. Clark

Doctor of Musical Arts, University of Michigan

Professor Emeritus, University of North Texas College of Music

Introduction – CARTE DU CIEL

Mapping Music

Pioneers
Purpose
Metaphor

Part I – STARS

Time, Periodicity, Perception

Chapter 1. TIME
Periodicity
Defining time
Time perception

Chapter 2. RHYTHM AND METER
Rhythm makes meter, Meter drives rhythm
Stress and accent
Molecules

Chapter 3. RHYTHM OF CHANGE
Beyond meter
Prime numbers

Part II – CONSTELLATIONS

Pitch Space, Arrays, Tonality

Chapter 4. TUNING PITCH

Chapter 5. CONSTELLATIONS OF PITCH
Interval Arrays

Chapter 6. SCALE PATTERNS
Scale prototypes
Scale patterns and set classes

Chapter 7. HARMONIC COMPLEXITY

Chapter 8. CONSTELLATION STREAMS
Constreams and 12-tone sets
Progressive alterations of interval arrays

Chapter 9. CELLS AND CLUSTERS
Melodic molecules
Cell class

Chapter 10. TONAL DESIGN

AUTHOR

Part III – GALAXIES

Structure and Relativity

Chapter 11. TEXTURE
Melodic Shape
Pitch recurrence

Chapter 12. COUNTERPOINT
Rhythmic alignment
Canon

Chapter 13. COLOR
Farben
Symmetry

Chapter 14. POINTILLISM

Chapter 15. REPETITION
Ostinato

Chapter 16. SOUND MASS
Hauptstimme
Galaxy groups
Density

Chapter 17. RELATIVITY

Part IV – ASTROLABE

Creative Modeling Labs

MapLab 1: GENERATE A GYMNOPODIE

MapLab 2: SKETCH A SONG

MapLab 3: CONSTRUCT A CANON

MapLab 4: MODEL A METAMORPHOSIS

MapLab 5: SPIN A SOLO

MapLab 6: PAINT A LANDSCAPE

MapLab 7: TWELVE-TONAL TRICHORDS IN A TERNARY TRIO

Part V – PARALLAX

Collections

MAPPING THE COSMOS – keyboard etudes
MODERN INVENTIONS – 2-part countrapuntal studies
BOOK OF CANONS3-part contrapuntal studies
TERMS
MAPS
Charts and Tables