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Acknowledgements Abbreviations, texts and typographic conventions General introduction 1. Pythagoras and Early Pythagoreanism Appendix: the scalar Divisions of Archytas 2. Plato 3. Aristotle 4. The Aristotelian Problemata 5. The Peripatetic De Audibilibus 6. Theophrastus 7. Aristoxenus Elementa Harmonica Book I Book II Book III Appendix: Aristoxenus Elementa Rhythmica Book III 8. The Euclidean Sectio Canonis 9. Minor authors quoted by Theon and Porphyry Passages from Theon of Smyrna Passages from Porphyry 10. Nicomachus Enchiridion 11. Ptolemy Harmonicas Book I Book II Appendix to Book II Book III 12. Aristides and Quintilianus De Musica Book I Book II Book III Bibliography Index.