Pythagorean Plato: Prelude to the Song Itself

Cover
Half-title Page
Title page
Copyright ⓒ Page
Dedicatory
Contents
Acknowledgements
Charts and Tables
1. Introduction
	THE PROBLEM
	A MUSICAL POINT OF VIEW
	PLATO\'S MUSICAL THESES
	PLATO\'S TONAL THEORY OF NUMBERS
	PLATO\'S MUSICALIZED GENETIC THEORY
	PROCEDURE
2. The Marriage Allegory (Republic)
	THE ALLEGORY
	INTERPRETATION
3. The Tyrant\'s Allegory (Republic)
	THE ALLEGORY
	INTERPRETATION
4. The Myth of Er (Republic)
	ER\'S JOURNEY TO HEAVEN
	THE PLANETARY SYSTEM
5. The Creation of the World-Soul (Timaeus)
	PART I . THE WORLD SOUL: THE DIVISION OF SAMENESS, DIFFERENCE AND EXISTENCE
	PART II. CONSTRUCTION OF THE CIRCLES OF THE SAME AND THE DIFFERENT
	INTERPRETATION
	CONCLUSION
6. Ancient Athens (Critias)
	SELECTIONS FROM THE MYTH
	INTERPRETATION
	CONCLUSION
	CALLIPOLIS
7. Atlantis (Critias)
	Part I: The Genesis of Atlantis
	INTERPRETATION
	Part 11: The Islands of Atlantis
	INTERPRETATION
	Part III: The Atlantean Plain
	INTERPRETATION
	Part IV: The Laws of Atlantis
	INTERPRETATION
8. Magnesia (Laws)
	THE DIVISIONS OF THE TERRITORY OF MAGNESIA
	EIGHTEEN GUARDIANS FROM THE PARENT CITY
	NINETEEN GUARDIANS FROM THE NEW ARRIVALS
	MOTHERS, CHILDREN, AND NURSEMAIDS
	THE GUARDIANS AS A TUNING SYSTEM
	MUSICAL POLITICS
9. Plato’s Musical Trigonometry
10. Conclusions
	MUSIC
	MATHEMATICS
	ASTRONOMY
	POLITICAL THEORY
	PHILOSOPHY
Appendix I. Historical Commentary
	ARISTOTLE
	SPEUSIPPUS AND XENOCRATES
	CRANTOR
	ARISTOXENUS
	EUCLID
	PLUTARCH
	NICOMACHUS
	PTOLEMY
	ARISTIDES QUINTILIANU
	PROCLUS
	BOETHIUS
	SUMMARY
Appendix II. Conversion Tables
	SUPERPARTICULAR RATIOS
	OTHER RATIOS
Appendix III. Tone Numbers in the Marriage Allegory
Appendix IV. Introduction to the Monochord
	EXERCISE 1: THE C MAJOR SCALE IN PYTHAGOREAN TUNING
	EXERCISE 2: THE CHROMATIC SCALE AND PYTHAGOREAN COMMA
	EXERCISE 3: THE GREEK DORIAN SCALE IN JUST TUNING
	EXERCISE 4: EQUAL TEMPERAMENT
Footnotes
	CHAPTER ONE
	CHAPTER TWO
	CHAPTER THREE
	CHAPTER FOUR
	CHAPTER FIVE
	CHAPTER SIX
	CHAPTER SEVEN
	CHAPTER EIGHT
	CHAPTER NINE
	CHAPTER TEN
	APPENDIX I
Index