INDEX

PREFACE

 P A R T O N E

THE SETTING

THE PREMISE

THE DIALECTIC

THE METAPHYSICS OF NUMBER

ODD AND EVEN

MULTITUDE AND MAGNITUDE

MONAD AND DUAD

P A R T T W O

THE TRADITIONAL STORY

DIAPENTE AND DIATESSARON

 STRING OVERTONES

P A R T T H R E E

THE MODAL SCALES

THE DIATONIC SCALE.

DERIVING THE MODES FROM THE DIATONIC SCALE

ENHARMONIC TRANSPOSITION