Aristoxenus of Tarentum and the Birth of Musicology (Studies in Classics)

First published in 2005. Routledge is an imprint of Taylor & Francis, an informa company. This book combines accessible explanations of mathematical concepts with practical advice on effective ways of teaching the subject. Section A provides a framework of good practice. Section B aims to support and enhance teachers subject knowledge in mathematical topics beyond what is taught to primary children. Each chapter also highlights teaching issues and gives examples of tasks relevant to the classroom. Section C is a collection of papers from tutors from four universities centred around the theme of effective teaching and quality of learning during this crucial time for mathematics education. Aristoxenus made an enormous contribution to the development of music theory in antiquity. Despite his Pythagorean upbringing, he rejected Pythagorean methods of harmonics which focused on the mathematical significance of musical structures and instead applied a scientific methodology appropriated from Aristotle. This volume studies the theories of Aristoxenus. Ch. 1. Harmonic theory before Aristoxenus -- Ch. 2. The influence of Aristotle on Aristoxenus' harmonic science -- Ch. 3. The Harmonics -- Ch. 4. The Rhythmics -- Ch. 5. Not the Harmonics -- Ch. 6. Musical theory after Aristoxenus. This volume studies the theories Aristoxenus applied to the development of music theory in antiquity. He rejected Pythagorean methods of harmonics and instead applied a scientific methodology appropriated from Aristotle.