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The Musical Structure
 Of Plato's dialogues
Part I
Introduction and Overview
• 'Plato's Forms, Pythagorean Mathematics,
  and Stichometry', Apeiron, 2010

• The Musical Structure of Plato's Dialogues,
  Acumen, forthcoming, Spring 2011

• Online debate

• Anticipations
Main Claims
• Plato was stichometrist (hexameter lines)

• Symbolic Passages Mark Locations (3/4, 2/3)

• Embedded Musical 'Scale'

• Explains Narrative Structure of Dialogues

• Affinity with Pythagoreanism
Structure in Symp.
• Embedded scale: 12 notes with quarternotes

• Passages about 'harmony' mark the notes

• Theory of Relative Consonance: explains
  narrative structure

• 3, 4, 6, 8, 9 are consonant; 5, 7, 10, 11 are
  dissonant -- content varies accordingly
Music/Math Terms Btwn Notes 2,3:
       Histogram (Resp)
Symbols in Frame

• Recollected episode ends at 1/4: scale used
  as outline

• Laws: music is harmony of fast/slow (tempo)
  and of high/ low (pitch)

• At each quarter-tone: motion and harmony
  between
Part II
Context, Evidence, Methodology
Historical Context

• Stichometry routine in classical period (Ohly)

• Pythagoreans known for 'symbolism' (Burkert)

• Circles around Socrates Debate Symbolism

• Derveni Papyrus: guide to symbolism
Plausibility Arguments
• Aporetic Endings: What is Plato's view?

• Problem of Platonic Anonymity

• Reports in Academy of Plato's Pythagoreanism

• Many followers say Plato is symbolic writer: neo-
  Pythagoreans, neo-Platonists, Ficino

• Evidence that Theon/Thrasyllus saw musical
  structure
Motivation

• Symbolism, Allegory is common

• Platonism: Forms beneath Appearances

• Pythagoreans were persecuted?

• Secrecy is normal (reserve, Burkert)
Line Counting

• Stephanus Pages Irregular

• Classical Texts: no spaces, punctuation, etc.

• Strip out everything, count Greek letters

• My counts confirmed by Fitzpatrick, who will
  make software available
Lines of Evidence
• Lengths of Set Speeches (Symp, Phaedrus)

• Total Lengths of Dialogues

• Similar Concepts at Parallel Locations

• Bands of 'Positive', 'Negative' Content: 8/12
  --9/12 versus 10/12 -- 11/12

• MSPD: close reading of notes in Symp.
Part III
Musical Structure
Symbolic Passages
• At regular intervals

• Each twelfth: 1/12, 2/12 ...

• Each quarter-interval: 1/12 +1/4 ...

• Other significant locations : sevenths ...

• Well-known 'Division of the Canon' (Theon)
Genus of a Species
• Forms are general similarities: colour = red,
  blue, yellow ...

• Each passage describes a species

• Symp: 'harmony', Euthyphro: epistemic
  assertion

• Regular pattern is a musical scale
Harmony in Symp.
• Unity: 'monoeides' Form of Beauty, 9.0

• Coupling with beauty, 8.0

• Fusion of two lovers, 4.3

• Theory of musical harmony, 3.2

• Dissonance: Alcibiades' pain of rejection by
  Socrates, 11.0
Conclusion
Why not detected?
• Need to know maths, music theory

• Anti-allegory turn in Reformation, invention of
  neo-Platonism

• Plato worked hard to conceal

• Spenser's mathematical allegories not found
  until Seventies
Implications

• Textual Studies: measure integrity of texts

• Musicology: new evidence on theory,
  monochord

• History of Platonism, Pythagoreanism

• History of Science

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Presentation ucl

  • 1. The Musical Structure Of Plato's dialogues
  • 3. • 'Plato's Forms, Pythagorean Mathematics, and Stichometry', Apeiron, 2010 • The Musical Structure of Plato's Dialogues, Acumen, forthcoming, Spring 2011 • Online debate • Anticipations
  • 4. Main Claims • Plato was stichometrist (hexameter lines) • Symbolic Passages Mark Locations (3/4, 2/3) • Embedded Musical 'Scale' • Explains Narrative Structure of Dialogues • Affinity with Pythagoreanism
  • 5. Structure in Symp. • Embedded scale: 12 notes with quarternotes • Passages about 'harmony' mark the notes • Theory of Relative Consonance: explains narrative structure • 3, 4, 6, 8, 9 are consonant; 5, 7, 10, 11 are dissonant -- content varies accordingly
  • 6.
  • 7.
  • 8.
  • 9. Music/Math Terms Btwn Notes 2,3: Histogram (Resp)
  • 10. Symbols in Frame • Recollected episode ends at 1/4: scale used as outline • Laws: music is harmony of fast/slow (tempo) and of high/ low (pitch) • At each quarter-tone: motion and harmony between
  • 11.
  • 13. Historical Context • Stichometry routine in classical period (Ohly) • Pythagoreans known for 'symbolism' (Burkert) • Circles around Socrates Debate Symbolism • Derveni Papyrus: guide to symbolism
  • 14. Plausibility Arguments • Aporetic Endings: What is Plato's view? • Problem of Platonic Anonymity • Reports in Academy of Plato's Pythagoreanism • Many followers say Plato is symbolic writer: neo- Pythagoreans, neo-Platonists, Ficino • Evidence that Theon/Thrasyllus saw musical structure
  • 15. Motivation • Symbolism, Allegory is common • Platonism: Forms beneath Appearances • Pythagoreans were persecuted? • Secrecy is normal (reserve, Burkert)
  • 16. Line Counting • Stephanus Pages Irregular • Classical Texts: no spaces, punctuation, etc. • Strip out everything, count Greek letters • My counts confirmed by Fitzpatrick, who will make software available
  • 17. Lines of Evidence • Lengths of Set Speeches (Symp, Phaedrus) • Total Lengths of Dialogues • Similar Concepts at Parallel Locations • Bands of 'Positive', 'Negative' Content: 8/12 --9/12 versus 10/12 -- 11/12 • MSPD: close reading of notes in Symp.
  • 19. Symbolic Passages • At regular intervals • Each twelfth: 1/12, 2/12 ... • Each quarter-interval: 1/12 +1/4 ... • Other significant locations : sevenths ... • Well-known 'Division of the Canon' (Theon)
  • 20. Genus of a Species • Forms are general similarities: colour = red, blue, yellow ... • Each passage describes a species • Symp: 'harmony', Euthyphro: epistemic assertion • Regular pattern is a musical scale
  • 21. Harmony in Symp. • Unity: 'monoeides' Form of Beauty, 9.0 • Coupling with beauty, 8.0 • Fusion of two lovers, 4.3 • Theory of musical harmony, 3.2 • Dissonance: Alcibiades' pain of rejection by Socrates, 11.0
  • 23. Why not detected? • Need to know maths, music theory • Anti-allegory turn in Reformation, invention of neo-Platonism • Plato worked hard to conceal • Spenser's mathematical allegories not found until Seventies
  • 24. Implications • Textual Studies: measure integrity of texts • Musicology: new evidence on theory, monochord • History of Platonism, Pythagoreanism • History of Science