Part I. Preliminaries: Introduction; 1. Beginnings, and the problem of measurement; Part II. Empirical Harmonics: 2. Empirical harmonics before Aristoxenus; 3. The early empiricists in their cultural and intellectual contexts; 4. Interlude on Aristotle's account of a science and its methods; 5. Aristoxenus: the composition of the Elementa harmonica; 6. Aristoxenus: concepts and methods in Elementa harmonica Book 1; 7. Elementa harmonica Books 2-3: the science reconsidered; 8. Elementa harmonica Book 3 and its missing sequel; 9. Contexts and purposes of Aristoxenus' harmonics; Part III. Mathematical Harmonics: 10. Pythagorean harmonics in the fifth century: Philolaus; 11. Developments in Pythagorean harmonics: Archytas; 12. Plato; 13. Aristotle on the harmonic sciences; 14. Systematising mathematical harmonics: the Sectio canonis; 15. Quantification under attack: Theophrastus' critique; Postscript: The later centuries.
This 2007 book examines the ancient science of harmonics, the most important branch of Greek musical theory.
Andrew Barker is Professor of Classics in the Institute of Archaeology and Antiquity at the University of Birmingham.
Review of the hardback: 'This is a fine, important book from one of
the pillars of Greek musical scholarship, and should be carefully
digested to the last footnote by every serious student of the
Review of the hardback: 'The significance of Harmonics in Classical Greece - which displays all the features needed to become a classic for both studies in Classics and in musicology - does not only regard ancient philosophical and scientific studies. Indeed it sheds light on important aspects for medieval musicologists and for 16th and 17th -century debates, marked by a return to the ancient, even thanks to the Latin translation of Plutarch's De musica published by Carlo Valgulio in 1507.' Nuncius: Journal of the History of Science
Review of the hardback: 'Barker has written an important book for anyone interested in ancient Greek music theory and its relationship with other intellectual activities of the time, such as philosophy and the empirical or mathematical sciences.' Bryn Mawr Classical Review
"Barker has written an important book for anyone interested in ancient Greek music theory and its relationship with other intellectual activities of the time, such as philosophy and the empirical or mathematical sciences...This is a densely argued work with many detailed discussions of technical sources. It is unlikely that any scholar will agree with all of Barker's readings, but we should be grateful to him for laying out his own readings with such care, and in the process, shedding light on many difficult passages. " --BCMR
"...this is a very significant book, a highly original contribution to a very problematic field, and an essential starting point for further research into classical Greek writings on music theory." NECJ, James Grier, University of Western Ontario