Mathematical Beauty Made Audible: Musical Aesthetics in Ptolemy’s Harmonics

@article{Barker2010MathematicalBM,
  title={Mathematical Beauty Made Audible: Musical Aesthetics in Ptolemy’s Harmonics},
  author={Andrew Barker},
  journal={Classical Philology},
  year={2010},
  volume={105},
  pages={403 - 420}
}
he beauties of music are celebrated in innumerable passages of ancient literature. But many Greek writers reserve their most ardent aesthetic admiration for items of an unexpected sort, not the compositions or performances they heard at symposia and religious ceremonies or in the theater, but the formal structures—such things as scales and patterns of attunement—on which melodies are built, and which provide them with their musical coherence. This perspective is particularly characteristic of… 
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