Andrew Barker - Scientific Method in Ptolemy's Harmonics (2004)


Andrew Barker - Scientific Method in Ptolemy's Harmonics (2004)

  • Introduction
  • Reason and perception
  • Pitch and quantity
  • The ratios of the concords: (1) the Pythagoreans
  • The ratios of the concords: (2) Ptolemy’s hupotheseis
  • Critique of Aristoxenian principles and conclusions
  • Ptolemy on the harmonic divisions of his predecessors
  • Melodic intervals: hypotheseis, derivations and adjustments
  • Larger systems: modulations in music and in method
  • The instruments
  • The tests
  • Harmonics in a wider perspective
  • Bibliography: Abbreviations / Texts and translations / Works by modern authors
  • Index of names
  • Index of topics
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