Greek Reflections on the Nature of MusicCambridge University Press, 27 apr 2009 - 340 pagine In this book, Flora Levin explores how and why music was so important to the ancient Greeks. She examines the distinctions that they drew between the theory of music as an art ruled by number and the theory wherein number is held to be ruled by the art of music. These perspectives generated more expansive theories, particularly the idea that the cosmos is a mirror-image of music's structural elements and, conversely, that music by virtue of its cosmic elements - time, motion, and the continuum - is itself a mirror-image of the cosmos. These opposing perspectives gave rise to two opposing schools of thought, the Pythagorean and the Aristoxenian. Levin argues that the clash between these two schools could never be reconciled because the inherent conflict arises from two different worlds of mathematics. Her book shows how the Greeks' appreciation of the profundity of music's interconnections with philosophy, mathematics, and logic led to groundbreaking intellectual achievements that no civilization has ever matched. |
Sommario
1 All Deep Things Are Song | 1 |
2 We Are All Aristoxenians | 48 |
3 The Discrete and the Continuous | 88 |
5 The Topology of Melody | 154 |
6 Aristoxenus of Tarentum and Ptolemas of Cyrene | 204 |
7 Aisthsis and Logos A Single Continent | 241 |
8 The Infinite and the Infinitesimal | 296 |
305 | |
317 | |
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Ancient Greek Music Archytas argued Aristides Aristides Quintilianus Aristotle Aristoxenian theory Aristoxenus arithmetic attunement auloi aulos Bacchius Barker canon canonicians century b.c. Chromatic Cleonides Commentary composed concept concordant consonances continuum critics Cyrene defined Demetrius Demetrius the Fair dianoia Diatonic Didymus division Düring elements Enharmonic genus equal Eratosthenes Euclid example explains fact fifth fourth genera geometric harmonic harmonicians Hyperbolaion infinite instruments intuition Kepler knowledge language lichanos logical magnitudes major third mathematical Mathiesen means melodic topos melody Meson method mind modulation motion musical intervals musical pitch musical space musicians nature Nicomachus notation octave perception phenomena Philodemus philosophy Plato Porphyry principle Proposition Ptolemaïs of Cyrene Ptolemy Harm Ptolemy’s Pythagoras Pythagorean quarter-tone ratios reason relations Rios says scale Sectio Canonis semitone sense sound string superparticular tetrachord Theophrastus theorists things thought tion tonal tone trans treatise truth universe vibration voice whole numbers whole-tone Winnington-Ingram words Xenophilus