The science of harmonics in classical Greece

The Science of Harmonics in Classical Greece

Volumn , Issue , 2007, Pages 1-481

  Barker, Andrew ^a  

^a UNIVERSITY OF BIRMINGHAM   (United Kingdom)

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[No Author keywords available]

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EID: 84929729505     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1017/CBO9780511482465     Document Type: Book

References (277)

1. Alexanderson, B. (1969) Textual Remarks on Ptolemy's Harmonica and Porphyry's Commentary. Gothenburg.
2. Amano, C. (1982) ‘La “Division du Canon” et la théorie mathématique des intervalles musicaux’, Historia Scientiarum 22: 97–115.
3. Anderson, W. D. (1955) ‘The importance of Damonian theory in Plato's thought’, Transactions of the American Philological Society 86: 88–102.
4. Anderson, W. D. (1966) Ethos and Education in Greek Music. Cambridge, Mass.
5. Anderson, W. D. (1980) ‘Musical development in the school of Aristotle’, Research Chronicle 16: 78–98.
6. Anderson, W. D. (1994) Music and Musicians in Ancient Greece. Ithaca and London.
7. Annas, J. (1981) An Introduction to Plato's Republic, Oxford.
8. Anton, J. P. (ed.) (1980) Science and the Sciences in Plato. Buffalo, N.Y.
9. Arnoux, G. (1960) Musique platonicienne, âme du monde. Paris.
10. Avezzù, G. (1994) ‘Papyrus Hibeht.I.13: Anonymi fragmentum De Musica’, Musica Storia 2: 109–38.
11. Baltes, M. (1972) Timaios Lokros Über die Natur des Kosmos und der Seele. Leiden.
12. Baltussen, H. (2000) Theophrastus against the Presocratics and Plato. Leiden.
13. Barbera, A. (1977) ‘Arithmetic and geometric division of the tetrachord’, Journal of Music Theory 21: 294–323.
14. Barbera, A. (1981) ‘Republic 530c–531c: another look at Plato and the Pythagoreans’, American Journal of Philology 102: 395–410.
15. Barbera, A. (1984a) ‘Placing Sectio canonis in historical and philosophical contexts’, Journal of Hellenic Studies 104: 157–61.
16. Barbera, A. (1984b) ‘The consonant eleventh and the expansion of the musical tetraktys: a study of ancient Pythagoreanism’, Journal of Music Theory 28: 191–223.
17. Barbera, A. (1990)Music Theory and its Sources: Antiquity and theMiddle Ages. Notre Dame, Ind.
18. Barbera, A. (1991) The Euclidean Division of the Canon: Greek and Latin Sources. Lincoln and London.
19. Barker, A. (1978a) ‘Symphōnoi arithmoi: a note on Republic 531c1–4’, Classical Philology 18: 337–42.
20. Barker, A. (1978b) ‘Hoi kaloumenoi harmonikoi: the predecessors of Aristoxenus’, Proceedings of the Cambridge Philological Society 24: 1–21.
21. Barker, A. (1978c) ‘Music and mathematics: Theophrastus against the number-theorists’, Proceedings of the Cambridge Philological Society 23: 1–15.
22. Barker, A. (1981a) ‘Aristotle on perception and ratios’, Phronesis 26: 248–266.
23. Barker, A. (1981b) ‘Methods and aims in the Euclidean Sectio Canonis’, Journal of Hellenic Studies 101: 1–16.
24. Barker, A. (1982a) ‘AristidesQuintilianus and constructions in early music theory’, Classical Quarterly 32: 184–197.
25. Barker, A. (1982b) ‘The innovations of Lysander the kitharist’, ClassicalQuarterly 32: 266–269.
26. Barker, A. (1984a) Greek Musical Writings I, The Musician and his Art. Cambridge.
27. Barker, A. (1984b) ‘Aristoxenus’ theorems and the foundations of harmonic science’, Ancient Philosophy 4: 23–64.
28. Barker, A. (1985) ‘Theophrastus on pitch and melody’, in Theophrastus of Eresus: on his Life and Work, eds.W. Fortenbaugh et al. New Brunswick and Oxford: 289–324.
29. Barker, A. (1989a) Greek Musical Writings II, Harmonic and Acoustic Theory. Cambridge.
30. Barker, A. (1989b) ‘Archita diTaranto e l’armonica pitagorica’, in Tra Sicilia eMagnaGrecia, eds. A. C. Cassio and D. Musti. Pisa: 159–78.
31. Barker, A. (1991) ‘Three approaches to canonic division’, in Peritōn Mathēmatōn, ed. I. Mueller, APEIRON 24 no. 4: 49–84.
32. Barker, A. (1994a) ‘Greek musicologists in the Roman Empire’, in The Sciences in Greco- Roman Society, ed. T. D. Barnes, APEIRON 27 no. 4: 53–74.
33. Barker, A. (1994b) ‘Ptolemy's Pythagoreans, Archytas, and Plato's conception of mathematics’, Phronesis 39: 113–35.
34. Barker, A. (1994c) ‘An Oxyrhynchus fragment on harmonic theory’, Classical Quarterly 44: 75–84.
35. Barker, A. (1995) ‘Heterophonia and Poikilia: accompaniments toGreek melody’, inGentili and Perusino (1995): 41–60.
36. Barker, A. (1996) ‘Plato's Philebus: the numbering of a unity’, in Dialogues with Plato, ed. E. Benitez, APEIRON 29 no. 4: 143–164.
37. Barker, A. (2000a) Scientific Method in Ptolemy's Harmonics. Cambridge.
38. Barker, A. (2000b), ‘Timaeus on music and the liver’, in Wright (2000): 85–100.
39. Barker, A. (2001a) ‘Armonia’, in Storia della Scienza i, ed. S. Petruccioli. Rome: 909–926.
40. Barker, A. (2001b) ‘La musica di Stesicoro’, QuaderniUrbinati di Cultura Classica 67: 7–20.
41. Barker, A. (2002a) Euterpe: Ricerche sulla musica greca e romana, tr. E. Rocconi. Pisa.
42. Barker, A. (2002b) ‘Words for sounds’, in Tuplin and Rihll (2002): 22–35.
43. Barker, A. (2003) ‘Early Timaeus commentaries and Hellenistic musicology’, in Ancient Approaches to Plato's Timaeus, eds. R.W. Sharples and A. Sheppard. London: 73–87.
44. Barker, A. (2004) ‘Theophrastus and Aristoxenus: confusions in musical metaphysics’, Bulletin of the Institute of Classical Studies 47: 101–117.
45. Barker, A. (2005a) Psicomusicologia nella Grecia antica, tr. A. Meriani. Naples.
46. Barker, A. (2005b) ‘The journeying voice: melody and metaphysics in Aristoxenian harmonic science’, APEIRON 38: 203–26.
47. Barker, A. (forthcoming), ‘Pseudo-Plutarch De musica 1–13’, in Pseudo-Plutarch's De Musica: Proceedings of the Ionian University Seminar on Ancient Greek Music, July 1–10, 2005, ed. P. Vlagopoulos. Leiden.
48. Barker, A., and D. E. Creese (2001) ‘Eratosthenes’, in Die Musik in Geschichte und Gegenwart, Kassel 1999–, Personenteil 6: 399–400.
49. Barnes, J. (1969) ‘Aristotle's theory of demonstration’, Phronesis 14: 123–52.
50. Barnes, J. (1981) ‘Proof and the syllogism’, in Aristotle on Science: the Posterior Analytics, ed. E. Berti. Padua: 17–59.
51. Barnes, J. (1993) Aristotle, Posterior Analytics (translation and commentary), 2nd edn. Oxford.
52. Bélis, A. (1982) ‘Les nuances dans le Traité d’harmonique d’Aristox`ene de Tarente’, Revue des études grecques 95: 54–73.
53. Bélis, A. (1986) Aristoxene de Tarente et Aristote: Le Traité d’Harmonique. Paris.
54. Bélis, A. (1992) ‘L’harmonique comme science dans l’antiquité grecque’, in Lustgarten (1992): 201–208.
55. vonBlumenthal, A. (1939) Ion von Chios:die Reste seinerWerke. Stuttgart and Berlin.
56. Blumenthal, H. (1989) ‘Plotinus and Proclus on the criterion of truth’, in Huby and Neal (1989): 257–280.
57. Boccadoro, B. (2002) Ethos e Varietas. Florence.
58. Bolton, R. (1991) ‘Aristotle's method in natural science’, in Judson (1991): 1–29.
59. Bostock, D. (1991) ‘Aristotle on continuity in Physics vi’, in Judson (1991): 179– 212.
60. Bowen, A. C. (1978) ‘The minor sixth (8:5) in early Greek harmonic science’, American Journal of Philology 99: 501–506.
61. Bowen, A. C. (1982), ‘The foundations of early Pythagorean harmonic science: Archytas, fragment 1’, Ancient Philosophy 2: 79–104.
62. Bowen, A. C. (ed.) (1991a) Science and Philosophy in Classical Greece. New York.
63. Bowen, A. C. (1991b) ‘Euclid's Sectio Canonis and the history of Pythagoreanism’, in Bowen (1991a): 164–187.
64. Bowen, A. C., andW. R. Bowen (1997) ‘The translator as interpreter: Euclid's Sectio Canonis and Ptolemy's Harmonica in the Latin tradition’, in Music Discourse from Classical to Early Modern Times: Editing and Translating Texts, ed. M. R. Maniates. Toronto and Buffalo: 97–148.
65. Bower, C. M. (1978) ‘Boethius and Nicomachus: an essay concerning the sources of De Institutione Musica’, Vivarium 16: 1–45.
66. Bower, C. M. (1989) Boethius, Fundamentals of Music. New Haven.
67. Brancacci, A. (1984) ‘Aristosseno e lo statuto epistemologico della scienza armonica’, in La scienza ellenistica, eds. G. Giannantoni and M. Vegetti. Naples: 154–185.
68. Brancacci, A. (1988) ‘Alcidamante e PHibeh 13 “De musica”: musica della retorica e retorica della musica’, in Aristoxenica, Menandrea, fragmenta philosophica, ed. F. Adorna. Florence: 61–84.
69. Burkert, W. (1962) Weisheit und Wissenschaft: Studien zu Pythagoras, Philolaos und Platon. Nuremberg.
70. Burkert, W. (1972) Lore and Science in Ancient Pythagoreanism (translation of Burkert (1962) by E. L. Minar, Jr.). Cambridge, Mass.
71. Burnett, C. (ed.) (1991) The Second Sense. London.
72. Burnyeat, M. F. (1987) ‘Platonism and mathematics: a prelude to discussion’, in Mathematics and Metaphysics in Aristotle, ed. A. Gaeser. Bern and Stuttgart: 213–240.
73. Burnyeat, M. F. (2000) ‘Why mathematics is good for the soul’, in Mathematics and Necessity in the History of Philosophy, ed. T. Smiley, Proceedings of the British Academy 103: 1–81.
74. Caldwell, J. (1981) ‘The De Institutione Arithmetica and the De InstitutioneMusica’, in Boethius: his Life, Thought and Influence, ed. M. Gibson. Oxford: 135–154.
75. Campbell, D. A. (1991) Greek Lyric iii (Loeb Classical Library). Cambridge Mass. and London.
76. Cassin, B. (2000) ‘Who's afraid of the Sophists? Against ethical correctness’, Hypatia 15.4: 102–120.
77. Cassio, A. C. (1988) ‘Nicomachus of Gerasa and the dialect of Archytas, fr. 1’, Classical Quarterly 38: 135–9.
78. Cassio, A. C., D. Musti and L. E. Rossi (eds.) (2000) Synaulia: Cultura musicale in Greciae contatti mediterranei. Naples.
79. Chailley, J. (1967) ‘Nouvelles remarques sur les deux notations musicales grecques’, Recherches de papyrologie 4: 210–216.
80. Chailley, J. (1968) ‘Nicomaque, Aristote et Terpandre devant la transformation de l’heptachorde grec en octacorde’, Yuval 1: 132–154.
81. Chailley, J. (1973) ‘La notation archa¨ique grecque d’après Aristide Quintilien’, Revue des études grecques 36: 17–34.
82. Chailley, J. (1979) La musique grecque antique. Paris.
83. Ciancaglini, C. A. (1991) ‘Le teorie acustiche dei Greci’, Atti della Academia nazionale dei Lincei: Classe di Scienze morali, storiche e filologiche 9 vol. i: 47–77, vol. ii: 147–77.
84. Ciancaglini, C. A. (1998) ‘L’acustica in Archita’, Maia 50: 213–51.
85. Comotti, G. (1972) ‘L’endecacordo di Ione di Chio’, Quaderni urbinati di cultura classica 13: 54–61.
86. Comotti, G. (1991) ‘Pitagora, Ippaso, Laso e il metodo sperimentale’, in Wallace and MacLachlan (1991): 20–29.
87. Creese, D. E. (2002) ‘The geometry of sound: the monochord in Greek harmonic science’, PhD diss. Birmingham.
88. Crocker, R. L. (1963–1964) ‘Pythagorean mathematics and music’, Journal of Aesthetics and Art Criticism 22: 189–198, 325–35.
89. Crocker, R. L. (1966) ‘Aristoxenus and Greek mathematics’, in Aspects of Medieval and Renaissance Music, ed. J. La Rue. New York: 96–110.
90. Crombie, A. C. (1969) ‘Mathematics, music and medical science’, Organon 6: 21–36.
91. Cuomo, S. (2001) Ancient Mathematics. London and New York.
92. Diels, H., and W. Kranz (1951) Die Fragmente der Vorsokratiker, 6th edn. [cited throughout as DK]. Berlin.
93. D’Ooge, M. L. (1926) Nicomachus of Gerasa: Introduction to Arithmetic. NewYork.
94. Düring, I. (1930) Die Harmonielehre des Klaudios Ptolemaios. Gothenburg.
95. Düring, I. (1932) Porphyrios Kommentar zur Harmonielehre des Ptolemaios. Gothenburg.
96. Düring, I. (1934) Ptolemaios und Porphyrios ¨uber die Musik. Gothenburg.
97. Düring, I. (1945) ‘Studies in musical terminology in fifth century literature’, Eranos 43: 176–97.
98. Einarson, B., and P. H. De Lacy (1967) Plutarch, Moralia vol. xiv (Loeb Classical Library). Cambridge, Mass.
99. Fletcher, N. H., and T. D. Rossing (1998) The Physics of Musical Instruments, 2nd edn. New York.
100. Fortenbaugh, W. W., et al. (eds.) (1992) Theophrastus of Eresus: Sources for his Life, Writings, Thought and Influence, 2 vols. Leiden.
101. Gamberini, L. (1979) Plutarcho ‘della musica’. Florence.
102. Gamberini, L. (1996) ‘Musica e medicina: dal mito d’Orfeo alla biomusica’, Atti dell’ Academia Ligure di Scienze e Lettere 53: 513–78.
103. Gentili, B., and F. Perusino (eds.) (1995) Mousike: Metrica, Ritmica e Musica Greca in Memoria di Giovanni Comotti. Pisa and Rome.
104. Gentili, B., and R. Pretagostini (eds.) (1988) La musica in Grecia. Rome and Bari.
105. Germain, G. (1954) Homere et la mystique des nombres. Paris.
106. Gerson, L. (1993) Review of Tarrant 1993, Bryn Mawr Classical Review, 4.6.12.
107. Gibson, S. (2005) Aristoxenus of Tarentum and the Birth of Musicology. Abingdon and New York.
108. Gilula, D. (2000) ‘Stratonicus, the witty harpist’, in Athenaeus and his World, eds. D. Braund and J. Wilkins. Exeter: 423–33.
109. Glucker, J. (1998) ‘Theophrastus, the Academy, and the Athenian philosophical atmosphere’, in van Ophuijsen and van Raalte (1998): 299–316.
110. Gombosi, O. J. (1939) Die Tonarten und Stimmungen der antiken Musik. Copenhagen.
111. Gombosi, O. J. (1951) ‘Key, mode, species’, Journal of the AmericanMusicological Society 4: 20–26.
112. Gottschalk, H. B. (1968) ‘The De audibilibus and Peripatetic acoustics’, Hermes 96: 435–460.
113. Gottschalk, H. B. (1980), Heraclides of Pontus. Oxford.
114. Gottschalk, H. B. (1998) ‘Theophrastus and the Peripatos’, in vanOphuijsen and van Raalte (1998): 281–298.
115. Guthrie, W. K. C. (1962–1981) A History of Greek Philosophy, 6 vols. Cambridge.
116. Hagel, S. (2005) ‘Twenty-four in auloi’, in Ancient Greek music in Performance, eds. S. Hagel and C. Harrauer. Vienna: 51–91.
117. Handschin, J. (1950) ‘The Timaeus scale’, Musica Disciplina 4: 3–42.
118. Hankinson, R. J. (2005) ‘Aristotle on kind-crossing’, in Philosophy and the Sciences in Antiquity, ed. R. W. Sharples. Aldershot: 23–54.
119. Heath, T. L. (1921) A History of Greek Mathematics, 2 vols. Oxford.
120. Henderson, M. I. (1942) ‘The growth of the Greek harmoniai’, Classical Quarterly 36: 94–103.
121. Henderson, M. I. (1957) ‘Ancient Greek music’, in The New Oxford History of Music i, ed. E. Wellesz. London: 336–403.
122. Hirtler, E. (1995) Die Musik als Scientia Mathematica von der Sp¨atantike bis zur Barock. Bern and Frankfurt am Main.
123. Huby, P., and G. Neal (eds.) (1989) The Criterion of Truth. Liverpool.
124. Huffman, C. A. (1985) ‘The authenticity of Archytas fr. I’, Classical Quarterly 35: 344–8.
125. Huffman, C. A. (1988) ‘The role of number in Philolaus’ philosophy’, Phronesis 33: 1–30.
126. Huffman, C. A. (1993) Philolaus of Croton: Pythagorean and Presocratic. Cambridge.
127. Huffman, C. A. (2005) Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King. Cambridge.
128. Izzo, A. (1987) ‘Musica e numero da Ippaso ad Archita’, in Forme del sapere nei Presocratici, eds. A. Capizzi and G. Casertano. Rome: 137–167.
129. von Jan, K. (1895) Musici Scriptores Graeci. Leipzig.
130. Johnson, C.W. L. (1896) ‘Musical pitch and the measurement of intervals among the ancient Greeks’, PhD. diss. Johns Hopkins.
131. Johnson, C.W. L. (1899) ‘The motion of the voice in the theory of ancient music’, Transactions of the Americal Philological Association 30: 42–55.
132. Joly, R. (1960) Recherches sur le traité pseudo-Hippocratique Du Régime. Paris.
133. Judson, L. (ed.) (1991) Aristotle's Physics: a Collection of Essays. Oxford.
134. Kahn, C. H. (1974) ‘Pythagorean philosophy before Plato’, in The Presocratics: A Collection of Critical Essays, ed. A. P. D. Mourelatos. Princeton: 161–185.
135. Kahn, C. H. (2001) Pythagoras and the Pythagoreans: a Brief History. Indianapolis and Cambridge.
136. Karpati, A. (1993) ‘The musical fragments of Philolaus and the Pythagorean tradition’, Acta Antiqua Academiae Scientiarum Hungaricae 34: 55–67.
137. Kahn, C. H. (1994) ‘Greek music theory in the fourth century bc’, International Journal of Musicology 3: 57–88.
138. Kerferd, G. B. (1981) The Sophistic Movement. Cambridge.
139. Kirk, G. S., J. E. Raven and M. Schofield (1983) The Presocratic Philosophers, 2nd edn. Cambridge.
140. Knobloch, E. (1992) ‘Rapports historiques entre musique, mathématique et cosmologie’, in Lustgarten (1992): 123–67.
141. Knorr, W. R. (1975) The Evolution of the Euclidean Elements. Dordrecht.
142. Kucharski, P. (1959) ‘Le Philèbe et les Eléments harmoniques d’Aristoxène’, Revue philosophique 149: 41–72.
143. Kytzler, B. (1959) ‘Die Weltseele und der musikalische Raum (Platons Timaios 35a ff.)’, Hermes 87: 393–414.
144. Laloy, L. (1900) ‘Un passage d’Euclide mal interprété’, Revue de philologie, de littérature et d’histoire ancienne 24: 236–41.
145. Laloy, L. (1904) Aristoxène de Tarente, Disciple d’Aristote, et laMusique de l’Antiquité. Paris.
146. Lambropoulou, V. (1995) ‘On harmony: etymology, pre-Platonic meanings and elements’, Platon 47–8: 179–93.
147. Landels, J. G. (1963) ‘The Brauron aulos’, Annual of the British School at Athens 58: 116–19.
148. Landels, J. G. (1968) ‘A newly discovered aulos’, Annual of the British School at Athens 63: 231–238.
149. Landels, J. G. (1999) Music in Ancient Greece and Rome. London.
150. Lang, H. S. (1998) The Order of Nature in Aristotle's Physics. Cambridge.
151. Lapini, W. (1994) ‘Ancora su Papyrus Hibeh 1.13’, Musica e Storia 2: 139–170.
152. Lasserre, F. (1954) Plutarque de la musique. Olten and Lausanne.
153. Lennox, J. G. (1986) ‘Aristotle, Galileo and “mixed sciences”’, in Reinterpreting Galileo, ed. W. A. Wallace. Washington, D.C.: 29–51.
154. Levin, F. R. (1961) ‘The hendecachord of Ion of Chios’, Transactions of the American Philological Association 92: 295–307.
155. Levin, F. R. (1972) ‘Synesis in Aristoxenian theory’, Transactions of the Americal Philological Association 103: 211–434.
156. Levin, F. R. (1990) ‘Unity in Euclid's Sectio Canonis’, Hermes 118: 430–443.
157. Lippman, E. A. (1964) Musical Thought in Ancient Greece. New York.
158. Litchfield, M. (1988) ‘Aristoxenus and empiricism: a reevaluation based on his theories’, Journal of Music Theory 32: 51–73.
159. Lloyd, G. E. R. (1987) The Revolutions of Wisdom. Cambridge.
160. Lloyd, G. E. R. (1990) ‘Plato and Archytas in the Seventh Letter’, Phronesis 35: 159–174.
161. Lloyd, G. E. R. (1996) Aristotelian Explorations. Cambridge.
162. Long, A. A. (1989) ‘Ptolemy on the criterion: an epistemology for the working scientist’, in Huby and Neal (1989): 151–178.
163. Long, A. A., and D. N. Sedley (1987) The Hellenistic Philosophers, 2 vols. Cambridge.
164. Lustgarten, D. (ed.) (1992) Quadrivium: musiques et sciences. Paris.
165. Maas, M., and J. M. Snyder (1989) Stringed Instruments of Ancient Greece. New Haven, Conn.
166. Macran, H. S. (1902) The Harmonics of Aristoxenus. Oxford.
167. Mathiesen, T. J. (1975) ‘An annotated translation of Euclid's division of the monochord’, Journal of Music Theory 19: 236–58.
168. Mathiesen, T. J. (1976) ‘Problems of terminology in ancient Greek theory: harmonia’, in Harmonia: Festival Essays for Pauline Alderman, ed. B. Kanon. Boston: 1–17.
169. Mathiesen, T. J. (1999) Apollo's Lyre: Greek Music and Music Theory in Antiquity and the Middle Ages. Lincoln and London.
170. Mendell, H. (1998) ‘Making sense of Aristotelian demonstration’, Oxford Studies in Ancient Philosophy 16: 161–225.
171. Meriani, A. (1995) ‘Un “esperimento” di Pitagora (Nicom. Harm. ench. 6, pp. 245– 248 Jan)’, in Gentili and Perusino (1995): 77–92.
172. Meriani, A. (2003a) ‘Teoria musicale e antiempirismo’, in Platone, la Repubblica: traduzione e commento, vol. v, libri vi–vii, ed. M. Vegetti. Naples, 565–602.
173. Meriani, A. (2003b) Sulla musica greca antica: studi e ricerche. Naples.
174. Mountford, J. F. (1923) ‘The musical scales of Plato's Republic’, Classical Quarterly 17: 125–136.
175. Mourelatos, A. P. D. (1980) ‘Plato's “Real Astronomy”: Republic 527d–531d’, in Anton (1980): 33–73.
176. Mourelatos, A. P. D. (1981) ‘Astronomy and kinematics in Plato's project of rationalist explanation’, Studies in the History and Philosophy of Science 12: 1–32.
177. Moutsopoulos, E. (1959) La musique dans l’oeuvre de Platon. Paris.
178. Moutsopoulos, E. (1963) ‘Dialectique musicale et dialectique philosophique chez Platon’, Annales de la Faculté des Lettres et Sciences humaines d’Aix 37: 159–163.
179. Moutsopoulos, E. (1971) ‘Science harmonique et empirisme musical chez Platon’, Actes du XXIIème Congrès international d’histoire des sciences 3A, Paris: 109–112.
180. Mueller, I. (1980) ‘Ascending to problems: astronomy and harmonics in Republic vii’, in Anton (1980): 103–121.
181. Musti, D. (2000) ‘Musica tra aristocrazia e democrazia’, in Cassio, Musti and Rossi (2000): 7–55.
182. Najock, D. (1996) ‘Aristoxenos und die Auloi’, in Worte, Bilde, T¨one, eds. R. Faber and B. Seidensticker. W¨urzburg: 59–76.
183. Netz, R. (1997) ‘Classical mathematics in the classical Mediterranean’, Mediterranean Historical Review 12: 1–24.
184. Netz, R. (1999) The Shaping of Deduction in Greek Mathematics. Cambridge.
185. Netz, R. (2002) ‘Greek mathematicians: a group picture’, in Tuplin and Rihll (2002): 196–216.
186. Neubecker, A. J. (1977) Altgriechischer Musik: eine Einf¨uhrung. Darmstadt.
187. Neugebauer, O. (1957) The Exact Sciences in Antiquity, 2nd edn. Providence, N.J.
188. van Ophuijsen, J. M., and M. van Raalte (eds.) (1998) Theophrastus: Reappraising the Sources. New Brunswick and London.
189. Pagliara, A. (2000) ‘Musica e politica nella speculazione platonica: considerazioni intorno all’ ethos del modo frigio (Resp. iii.10, 399a–c)’, in Cassio, Musti and Rossi (2000): 157–216.
190. Palisca, C. (1985) Humanism in Italian Renaissance Musical Thought. New Haven and London.
191. Paquette, D. (1984) L’instrument de musique dans la céramique de la Grèce antique. Paris.
192. Pearson, L. (1990) Aristoxenus, Elementa Rhythmica. Oxford.
193. Perusino, F. (1993) Anonimo (Michele Psello?): La Tragedia greca. Urbino.
194. Philip, J. A. (1966) Pythagoras and Early Pythagoreanism. Toronto.
195. Phillips, D. J., and D. Pritchard (eds.) (2003) Sport and Festivals in the Ancient Greek World. Swansea.
196. Pöhlmann, E. (1988) Beitrage zur antiken und neueren Musikgeschichte. Frankfurt on Main.
197. Pöhlmann, E., and M. L. West (2001) Documents of Ancient Greek Music. Oxford.
198. Porter, J. I. (2007) ‘Lasus of Hermione, Pindar, and the riddle of S’, Classical Quarterly 57:1–21.
199. Potiron, H. (1961) ‘Les notations d’Aristide Quintilien et les harmonies dites Platoniciennes’, Revue de musicologie 47: 159–176.
200. Potiron, H. (1964) ‘La notation grecque au temps d’Aristoxène’, Revue de musicologie 50: 222–5.
201. Privitera, G. A. (1965) Laso di Hermione. Rome.
202. Rankin, H. D. (1983) Sophists, Socratics and Cynics. London.
203. Restani, D. (2001) ‘Un manuale perTeoderico’, in D.Restani, Musica per governare. Ravenna: 57–84.
204. Richter, L. (1958) ‘Die Aufgaben der Musiklehre nach Aristoxenos und Klaudios Ptolemaios’, Archiv furMusikwissenschaft 15: 209–229 [revised in Richter 2000].
205. Richter, L. (1961) Zur Wissenschaftslehre von der Musik bei Platon und Aristoteles. Berlin.
206. Richter, L. (2000) ‘Die Aufgaben der Musiklehre nach Aristoxenos und Klaudios Ptolemaios’, in L. Richter, Momente der Musikgeschichte Antike und Byzanz, Anif and Salzburg: 93–115 [a revised version of Richter 1958].
207. Riethmuller, A. (1985) ‘Logos und Diastema in der griechischen Musiktheorie’, Archiv f¨ur Musikwissenschaft 42: 18–36.
208. Rihll, T. E. (1999) Greek Science. Oxford.
209. Da Rios, R. (1954) Aristoxeni Elementa Harmonica. Rome.
210. Rocconi, E. (1998) ‘Harmonia e teoria dei gene musicali nella Grecia antica’, Seminari Romani di cultura greca 1: 345–63.
211. Rocconi, E. (1999a) ‘La formazione del lessico musicale nellaGrecia antica’, Tesi di dottorato. Urbino.
212. Rocconi, E. (1999b) ‘Terminologia dello “spazio sonoro” negli Elementa Harmonica di Aristosseno di Taranto’, Quaderni urbinati di cultura classica 61: 93–103.
213. Rocconi, E. (2002) ‘The development of vertical direction in the spatial representation of sound’, in Studien zur Musikarch¨aologie 3, ed. E. Hickmann, Orient- Arch¨aologie 10: 389–92.
214. Rocconi, E. (2003) Le parole delle Muse. Rome.
215. Rocconi, E. (2004) ‘Colours in music: metaphoric musical language in Greek antiquity’, in Studien zurMusikarch¨aologie 4, eds. E. Hickmann and R. Eichmann, Orient- Arch¨aologie 15: 29–34.
216. De Romilly, J. (1992) The Great Sophists in Periclean Athens. Oxford.
217. Rossi, L. E. (1988) ‘La dottrina dell’ “ethos” musicale e il simposio’, in Gentili and Pretagostini (1988): 238–245.
218. Rossi, L. E. (2000) ‘Musica e psicologia nel mondo antico e nel mondo moderno’, in Cassio, Musti and Rossi (2000): 57–96.
219. Ruelle, C.-E. (1906) ‘Sur l’authenticité probable de la division du canon musical attribuée `a Euclide’, Revue des études greques 19: 318–20.
220. Sachs, C. (1940) The History of Musical Instruments. New York.
221. Schlesinger, K. (1933) ‘Further notes on Aristoxenus and musical intervals’, Classical Quarterly 27: 88–96.
222. Schlesinger, K. (1939) The Greek Aulos. London.
223. Schlesinger, K. (1944) ‘The harmoniai’, Music Review 5: 7–39.
224. Scholz, H. (1975) ‘The ancient axiomatic theory’, in Articles on Aristotle i, eds.
225. J. Barnes, M. Schofield and R. Sorabji. London: 50–64.
226. Sicking, C. M. J. (1998) ‘Theophrastus on the nature of music’, in van Ophuijsen and van Raalte (1998): 97–142.
227. Sifakis, G. M. (1967) Studies in the History of Hellenistic Drama. London.
228. Smith, R. (1982) ‘The relationship between Aristotle's two Analytics’, Classical Quarterly 32: 327–35.
229. Solomon, J. (1980a) ‘Cleonides, Eisagōgē Harmonikē: critical edition, translation and commentary’, PhD diss. North Carolina–Chapel Hill.
230. Solomon, J. (1980b) ‘Eklysis and ecbole’, Symbolae Osloenses 55: 111–126.
231. Solomon, J. (1981) ‘The diastaltic ethos’, Classical Philology 76: 93–100.
232. Solomon, J. (1984) ‘Towards a history of tonoi’, Journal of Musicology 3: 242–351.
233. Sorabji, R. (1972) ‘Aristotle, mathematics and colour’, Classical Quarterly 22: 293– 308.
234. Sorabji, R. (2004) ‘Aristotle on colour, light and imperceptibles’, Bulletin of the Institute of Classical Studies 47: 129–140.
235. Stephanis, I. E. (1988) Dionysiakoi Technitai. Heraklion.
236. Strasburger, H. (1990) Studien zur alten Geschichte iii. Hildesheim.
237. Striker, G. (1996) Essays on Hellenistic Philosophy and Science. Cambridge.
238. Sundberg, J. (1991) The Science of Musical Sounds. London.
239. Tannery, P. (1902a) ‘Du role de la musique grecque dans le développement de la mathématique pure’, Bibliotheca mathematica 3: 161–175.
240. Tannery, P. (1902b) ‘Sur les intervalles de la musique grecque’, Revue des études grecques 15: 336–352.
241. Tannery, P. (1904a) ‘Inauthenticité de la “Division du Canon” attribuée a Euclide’, Comptes rendus des séances de l’Académie des Inscriptions et Belles-Lettres: 439–445.
242. Tannery, P. (1904b) ‘ `Apropos des fragments philola¨iques sur la musique’, Revue de philologie 28: 233–249.
243. Tarrant, H. (1993) Thrasyllan Platonism. Ithaca, N.Y.
244. Thesleff, H. (1961) An Introduction to the Pythagorean Writings of the Hellenistic Period. Åbo.
245. Thesleff, H. (1965) The Pythagorean Texts of the Hellenistic Period. Åbo.
246. Thurn, N. (1998) ‘Die siebensaitige Lyra’, Mnemosyne 51: 411–34.
247. Tuplin, C. J., and T. E. Rihll (eds.) (2002) Science and Mathematics in Ancient Greek Culture. Oxford.
248. Vogel, M. (1963) Die Enharmonik der Griechen, 2 vols. Düsseldorf.
249. Van der Waerden, B. L. (1943) ‘Die Harmonielehre der Pythagoreer’, Hermes 78: 163–99.
250. Wallace, R. W. (1991) ‘Damone di Oa ed i suoi successori: un’ analisi delle fonti’, in Wallace and MacLachlan (1991): 30–53.
251. Wallace, R. W. (1995) ‘Music theorists in fourth-century Athens’, inGentili and Perusino (1995): 17–40.
252. Wallace, R. W. (1997) ‘Poet, public and “theatocracy”: audience performance in classical Athens’, in Poet, Public and Performance in Ancient Greece, eds. L. Edmunds and R. W. Wallace. Baltimore, Maryland: 97–111.
253. Wallace, R. W., and B. MacLachlan (eds.) (1991) Harmonia Mundi. Rome.
254. Walter, H. (1994) ‘Logos und Aisthesis: zumMethodenstreit in der antikenMusiktheorie’, International Journal of Musicology 3: 43–55.
255. Wehrli, F. (1969) Die Schule des Aristoteles, 2nd edn. Basle.
256. Weil, H., and T. Reinach (1900) Plutarque: de la musique. Paris.
257. West, M. L. (1971) ‘Stesichorus’, Classical Quarterly 21: 302–314.
258. West, M. L. (1974) Studies in Early Greek Elegy and Iambus. Berlin and New York.
259. West, M. L. (1981) ‘The singing of Homer and the modes of early Greek music’, Journal of Hellenic Studies 101: 113–29.
260. West, M. L. (1983) The Orphic Poems. Oxford.
261. West, M. L. (1985) ‘Ion of Chios’, Bulletin of the Institute of Classical Studies 32: 71–8.
262. West, M. L. (1992a) Ancient Greek Music. Oxford.
263. West, M. L. (1992b) ‘Analecta Musica’, Zeitschrift für Papyrologie und Epigraphik 92: 1–54.
264. Winnington-Ingram, R. P. (1928) ‘The Spondeion scale’, Classical Quarterly 22: 83–91.
265. West, M. L. (1932) ‘Aristoxenus and the intervals of Greek music’, Classical Quarterly 26: 195–208.
266. West, M. L. (1936) Mode in Ancient Greek Music. Cambridge.
267. West, M. L. (1965) ‘Die Enharmonik der Griechen’, Die Musikforschung 18: 60–64.
268. West, M. L. (1973) ‘The first notational diagram of Aristides Quintilianus’, Philologus 117: 243–9.
269. West, M. L. (1978) ‘Two studies in Greek musical notation’, Philologus 122: 237–48.
270. Wright, M. R. (ed.) (2000) Reason andNecessity: Essays on Plato's Timaeus. London.
271. Wyller, E. A. (1995) ‘Kosmos als Klangfigur: Platons Naturvision im Timaios’, Perspektiven der Philosophie 21: 105–121.
272. Yamamoto, T. (2001) Study in Aristoxenus’ Harmonica Stoicheia [in Japanese with English summary]. Ahasikawa.
273. Zaminer, F. (1980) ‘Pythagoras und die Anf¨ange des musiktheoretischen Denkens bei den Griechen’, Jahrbuch des Staatlichen Instituts für Musikforschung 1979–1980: 203–211.
274. Zaminer, F. (1984) ‘Hypate, Mese und Nete in frühgriechischen Denken’, Archiv für Musikwissenschaft 41: 1–26.
275. Zanoncelli, L. (1990) La manualistica musicale greca. Milan.
276. Zedda, S. (2000) ‘How to build a world soul: a practical guide’, inWright (2000): 23–42.
277. Zhmud, L. J. (1997)Wissenschaft, Philosophie und Religion im frühen Pythagoreismus. Berlin.