Bibliography
Published online by Cambridge University Press: 22 September 2009
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- The Science of Harmonics in Classical Greece , pp. 450 - 460Publisher: Cambridge University PressPrint publication year: 2007
References
(1982) ‘La “Division du Canon” et la théorie mathématique des intervalles musicaux’, Historia Scientiarum 22: 97–115.Google Scholar
(1955) ‘The importance of Damonian theory in Plato's thought’, Transactions of the American Philological Society 86: 88–102.Google Scholar
(1980) ‘Musical development in the school of Aristotle’, Research Chronicle 16: 78–98.Google Scholar
(1977) ‘Arithmetic and geometric division of the tetrachord’, Journal of Music Theory 21: 294–323.CrossRefGoogle Scholar
(1981) ‘Republic 530c–531c: another look at Plato and the Pythagoreans’, American Journal of Philology 102: 395–410.CrossRefGoogle Scholar
(1984a) ‘Placing Sectio canonis in historical and philosophical contexts’, Journal of Hellenic Studies 104: 157–61.CrossRefGoogle Scholar
(1984b) ‘The consonant eleventh and the expansion of the musical tetraktys: a study of ancient Pythagoreanism’, Journal of Music Theory 28: 191–223.CrossRefGoogle Scholar
(1991) The Euclidean Division of the Canon: Greek and Latin Sources. Lincoln and London.Google Scholar
(1978a) ‘Symphōnoi arithmoi: a note on Republic 531c1–4’, Classical Philology 18: 337–42.CrossRefGoogle Scholar
(1978b) ‘Hoi kaloumenoi harmonikoi: the predecessors of Aristoxenus’, Proceedings of the Cambridge Philological Society 24: 1–21.CrossRefGoogle Scholar
(1978c) ‘Music and mathematics: Theophrastus against the number-theorists’, Proceedings of the Cambridge Philological Society 23: 1–15.CrossRefGoogle Scholar
(1981b) ‘Methods and aims in the Euclidean Sectio Canonis’, Journal of Hellenic Studies 101: 1–16.CrossRefGoogle Scholar
(1982a) ‘Aristides Quintilianus and constructions in early music theory’, Classical Quarterly 32: 184–97.CrossRefGoogle Scholar
(1982b) ‘The innovations of Lysander the kitharist’, Classical Quarterly 32: 266–9.CrossRefGoogle Scholar
(1984b) ‘Aristoxenus’ theorems and the foundations of harmonic science’, Ancient Philosophy 4: 23–64.CrossRefGoogle Scholar
Barker, A. (1985) ‘Theophrastus on pitch and melody’, in Theophrastus of Eresus: on his Life and Work, eds. New Brunswick and Oxford: 289–324.Google Scholar
Barker, A. (1989b) ‘Archita di Taranto e l'armonica pitagorica’, in Tra Sicilia e Magna Grecia, eds. and . Pisa: 159–78.Google Scholar
Barker, A. (1991) ‘Three approaches to canonic division’, in Peri tōn Mathḗmatōn, ed. , APEIRON 24 no. 4: 49–84.Google Scholar
Barker, A. (1994a) ‘Greek musicologists in the Roman Empire’, in The Sciences in Greco-Roman Society, ed. , APEIRON 27 no. 4: 53–74.Google Scholar
(1994b) ‘Ptolemy's Pythagoreans, Archytas, and Plato's conception of mathematics’, Phronesis 39: 113–35.CrossRefGoogle Scholar
(1994c) ‘An Oxyrhynchus fragment on harmonic theory’, Classical Quarterly 44: 75–84.CrossRefGoogle Scholar
Barker, A. (1995) ‘Heterophonia and Poikilia: accompaniments to Greek melody’, in Gentili and Perusino (1995): 41–60.
Barker, A. (1996) ‘Plato's Philebus: the numbering of a unity’, in Dialogues with Plato, ed. , APEIRON 29 no. 4: 143–64.Google Scholar
Barker, A. (2000b), ‘Timaeus on music and the liver’, in Wright (2000): 85–100.
(2001b) ‘La musica di Stesicoro’, Quaderni Urbinati di Cultura Classica 67: 7–20.CrossRefGoogle Scholar
Barker, A. (2002b) ‘Words for sounds’, in Tuplin and Rihll (2002): 22–35.
Barker, A. (2003) ‘Early Timaeus commentaries and Hellenistic musicology’, in Ancient Approaches to Plato's Timaeus, eds. and . London: 73–87.Google Scholar
(2004) ‘Theophrastus and Aristoxenus: confusions in musical metaphysics’, Bulletin of the Institute of Classical Studies 47: 101–17.CrossRefGoogle Scholar
(2005b) ‘The journeying voice: melody and metaphysics in Aristoxenian harmonic science’, APEIRON 38: 203–26.CrossRefGoogle Scholar
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. . Leiden.Google Scholar
, and (2001) ‘Eratosthenes’, in Die Musik in Geschichte und Gegenwart, Kassel 1999–, Personenteil 6: 399–400.Google Scholar
Barnes, J. (1981) ‘Proof and the syllogism’, in Aristotle on Science: the Posterior Analytics, ed. . Padua: 17–59.Google Scholar
(1982) ‘Les nuances dans le Traité d'harmonique d'Aristoxène de Tarente’, Revue des études grecques 95: 54–73.CrossRefGoogle Scholar
(1992) ‘L'harmonique comme science dans l'antiquité grecque’, in Lustgarten (1992): 201–8.Google Scholar
von Blumenthal, A. (1939) Ion von Chios:die Reste seiner Werke. Stuttgart and Berlin.
(1989) ‘Plotinus and Proclus on the criterion of truth’, in Huby and Neal (1989): 257–80.Google Scholar
Bolton, R. (1991) ‘Aristotle's method in natural science’, in Judson (1991): 1–29.
Bostock, D. (1991) ‘Aristotle on continuity in Physicsvi’, in Judson (1991): 179–212.
(1978) ‘The minor sixth (8:5) in early Greek harmonic science’, American Journal of Philology 99: 501–6.CrossRefGoogle Scholar
(1982), ‘The foundations of early Pythagorean harmonic science: Archytas, fragment 1’, Ancient Philosophy 2: 79–104.CrossRefGoogle Scholar
Bowen, A. C. (1991b) ‘Euclid's Sectio Canonis and the history of Pythagoreanism’, in Bowen (1991a): 164–87.
Bowen, A. C., and W. 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. . Toronto and Buffalo: 97–148.CrossRefGoogle Scholar
(1978) ‘Boethius and Nicomachus: an essay concerning the sources of De Institutione Musica’, Vivarium 16: 1–45.CrossRefGoogle Scholar
Brancacci, A. (1984) ‘Aristosseno e lo statuto epistemologico della scienza armonica’, in La scienza ellenistica, eds. and . Naples: 154–85.Google Scholar
Brancacci, A. (1988) ‘Alcidamante e PHibeh 13 “De musica”: musica della retorica e retorica della musica’, in Aristoxenica, Menandrea, fragmenta philosophica, ed. . Florence: 61–84.Google Scholar
(1962) Weisheit und Wissenschaft: Studien zu Pythagoras, Philolaos und Platon. Nuremberg.Google Scholar
(1972) Lore and Science in Ancient Pythagoreanism (translation of Burkert (1962) by E. L. Minar, Jr.). Cambridge, Mass.Google Scholar
Burnyeat, M. F. (1987) ‘Platonism and mathematics: a prelude to discussion’, in Mathematics and Metaphysics in Aristotle, ed. . Bern and Stuttgart: 213–40.Google Scholar
(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.Google Scholar
Caldwell, J. (1981) ‘The De Institutione Arithmetica and the De Institutione Musica’, in Boethius: his Life, Thought and Influence, ed. . Oxford: 135–54.Google Scholar
Campbell, D. A. (1991) Greek Lyric III (Loeb Classical Library). Cambridge Mass. and London.
(2000) ‘Who's afraid of the Sophists? Against ethical correctness’, Hypatia 15.4: 102–20.Google Scholar
(1988) ‘Nicomachus of Gerasa and the dialect of Archytas, fr. 1’, Classical Quarterly 38: 135–9.CrossRefGoogle Scholar
, and (eds.) (2000) Synaulia: Cultura musicale in Grecia e contatti mediterranei. Naples.Google Scholar
(1967) ‘Nouvelles remarques sur les deux notations musicales grecques’, Recherches de papyrologie 4: 210–16.Google Scholar
(1968) ‘Nicomaque, Aristote et Terpandre devant la transformation de l'heptachorde grec en octacorde’, Yuval 1: 132–54.Google Scholar
(1973) ‘La notation archaïque grecque d'après Aristide Quintilien’, Revue des études grecques 36: 17–34.CrossRefGoogle Scholar
(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.Google Scholar
(1972) ‘L'endecacordo di Ione di Chio’, Quaderni urbinati di cultura classica 13: 54–61.CrossRefGoogle Scholar
Comotti, G. (1991) ‘Pitagora, Ippaso, Laso e il metodo sperimentale’, in Wallace and MacLachlan (1991): 20–9.
Creese, D. E. (2002) ‘The geometry of sound: the monochord in Greek harmonic science’, PhD diss. Birmingham.
(1963–4) ‘Pythagorean mathematics and music’, Journal of Aesthetics and Art Criticism 22: 189–98, 325–35.CrossRefGoogle Scholar
Crocker, R. L. (1966) ‘Aristoxenus and Greek mathematics’, in Aspects of Medieval and Renaissance Music, ed. . New York: 96–110.
, and (1951) Die Fragmente der Vorsokratiker, 6th edn. [cited throughout as DK]. Berlin.Google Scholar
(1945) ‘Studies in musical terminology in fifth century literature’, Eranos 43: 176–97.Google Scholar
(eds.) (1992) Theophrastus of Eresus: Sources for his Life, Writings, Thought and Influence, 2 vols. Leiden.Google Scholar
(1996) ‘Musica e medicina: dal mito d'Orfeo alla biomusica’, Atti dell’ Academia Ligure di Scienze e Lettere 53: 513–78.Google Scholar
, and (eds.) (1995) Mousike: Metrica, Ritmica e Musica Greca in Memoria di Giovanni Comotti. Pisa and Rome.Google Scholar
Gilula, D. (2000) ‘Stratonicus, the witty harpist’, in Athenaeus and his World, eds. and . Exeter: 423–33.Google Scholar
Glucker, J. (1998) ‘Theophrastus, the Academy, and the Athenian philosophical atmosphere’, in van Ophuijsen and van Raalte (1998): 299–316.
(1951) ‘Key, mode, species’, Journal of the American Musicological Society 4: 20–6.CrossRefGoogle Scholar
Gottschalk, H. B. (1998) ‘Theophrastus and the Peripatos’, in van Ophuijsen and van Raalte (1998): 281–98.
Hagel, S. (2005) ‘Twenty-four in auloi’, in Ancient Greek music in Performance, eds. and . Vienna: 51–91.Google Scholar
Hankinson, R. J. (2005) ‘Aristotle on kind-crossing’, in Philosophy and the Sciences in Antiquity, ed. . Aldershot: 23–54.Google Scholar
Henderson. M. I. (1957) ‘Ancient Greek music’, in The New Oxford History of Musici, ed. . London: 336–403.Google Scholar
(1995) Die Musik als Scientia Mathematica von der Spätantike bis zur Barock. Bern and Frankfurt am Main.Google Scholar
(2005) Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King. Cambridge.CrossRefGoogle Scholar
Izzo, A. (1987) ‘Musica e numero da Ippaso ad Archita’, in Forme del sapere nei Presocratici, eds. and . Rome: 137–67.Google Scholar
(1896) ‘Musical pitch and the measurement of intervals among the ancient Greeks’, PhD. diss. Johns Hopkins.Google Scholar
(1899) ‘The motion of the voice in the theory of ancient music’, Transactions of the Americal Philological Association 30: 42–55.CrossRefGoogle Scholar
Kahn, C. H. (1974) ‘Pythagorean philosophy before Plato’, in The Presocratics: A Collection of Critical Essays, ed. . Princeton: 161–85.Google Scholar
(1993) ‘The musical fragments of Philolaus and the Pythagorean tradition’, Acta Antiqua Academiae Scientiarum Hungaricae 34: 55–67.Google Scholar
(1994) ‘Greek music theory in the fourth century bc’, International Journal of Musicology 3: 57–88.Google Scholar
Knobloch, E. (1992) ‘Rapports historiques entre musique, mathématique et cosmologie’, in Lustgarten (1992): 123–67.
(1959) ‘Le Philèbe et les Eléments harmoniques d'Aristoxène’, Revue philosophique 149: 41–72.Google Scholar
(1959) ‘Die Weltseele und der musikalische Raum (Platons Timaios 35a ff.)’, Hermes 87: 393–414.Google Scholar
(1900) ‘Un passage d'Euclide mal interprété’, Revue de philologie, de littérature et d'histoire ancienne 24: 236–41.Google Scholar
(1904) Aristoxène de Tarente, Disciple d'Aristote, et la Musique de l'Antiquité. Paris.Google Scholar
(1995) ‘On harmony: etymology, pre-Platonic meanings and elements’, Platon47–8: 179–93.Google Scholar
(1963) ‘The Brauron aulos’, Annual of the British School at Athens 58: 116–19.CrossRefGoogle Scholar
(1968) ‘A newly discovered aulos’, Annual of the British School at Athens 63: 231–8.CrossRefGoogle Scholar
Lennox, J. G. (1986) ‘Aristotle, Galileo and “mixed sciences”’, in Reinterpreting Galileo, ed. . Washington, D.C.: 29–51.Google Scholar
(1961) ‘The hendecachord of Ion of Chios’, Transactions of the American Philological Association 92: 295–307.CrossRefGoogle Scholar
(1972) ‘Synesis in Aristoxenian theory’, Transactions of the Americal Philological Association 103: 211–34.CrossRefGoogle Scholar
(1988) ‘Aristoxenus and empiricism: a reevaluation based on his theories’, Journal of Music Theory 32: 51–73.CrossRefGoogle Scholar
Long, A. A. (1989) ‘Ptolemy on the criterion: an epistemology for the working scientist’, in Huby and Neal (1989): 151–78.
(1975) ‘An annotated translation of Euclid's division of the monochord’, Journal of Music Theory 19: 236–58.CrossRefGoogle Scholar
Mathiesen, T. J. (1976) ‘Problems of terminology in ancient Greek theory: harmonia’, in Harmonia: Festival Essays for Pauline Alderman, ed. . Boston: 1–17.Google Scholar
(1999) Apollo's Lyre: Greek Music and Music Theory in Antiquity and the Middle Ages. Lincoln and London.Google Scholar
(1998) ‘Making sense of Aristotelian demonstration’, Oxford Studies in Ancient Philosophy 16: 161–225.Google Scholar
Meriani, A. (1995) ‘Un “esperimento” di Pitagora (Nicom. Harm. ench. 6, pp. 245–248 Jan)’, in Gentili and Perusino (1995): 77–92.
Meriani, A. (2003a) ‘Teoria musicale e antiempirismo’, in Platone, la Repubblica: traduzione e commento, vol. v, libri vi–vii, ed. . Naples, 565–602.Google Scholar
(1923) ‘The musical scales of Plato's Republic’, Classical Quarterly 17: 125–36.CrossRefGoogle Scholar
Mourelatos, A. P. D. (1980) ‘Plato's “Real Astronomy”: Republic 527d–531d’, in Anton (1980): 33–73.
(1981) ‘Astronomy and kinematics in Plato's project of rationalist explanation’, Studies in the History and Philosophy of Science 12: 1–32.CrossRefGoogle Scholar
(1963) ‘Dialectique musicale et dialectique philosophique chez Platon’, Annales de la Faculté des Lettres et Sciences humaines d'Aix 37: 159–63.Google Scholar
(1971) ‘Science harmonique et empirisme musical chez Platon’, Actes du XXIIème Congrès international d'histoire des sciences 3A, Paris: 109–12.Google Scholar
Mueller, I. (1980) ‘Ascending to problems: astronomy and harmonics in Republicvii’, in Anton (1980): 103–21.
Musti, D. (2000) ‘Musica tra aristocrazia e democrazia’, in Cassio, Musti and Rossi (2000): 7–55.
Najock, D. (1996) ‘Aristoxenos und die Auloi’, in Worte, Bilde, Töne, eds. and . Würzburg: 59–76.Google Scholar
(1997) ‘Classical mathematics in the classical Mediterranean’, Mediterranean Historical Review 12: 1–24.CrossRefGoogle Scholar
Netz, R. (2002) ‘Greek mathematicians: a group picture’, in Tuplin and Rihll (2002): 196–216.
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.
(2007) ‘Lasus of Hermione, Pindar, and the riddle of S’, Classical Quarterly 57:1–21.CrossRefGoogle Scholar
(1961) ‘Les notations d'Aristide Quintilien et les harmonies dites Platoniciennes’, Revue de musicologie 47: 159–76.CrossRefGoogle Scholar
(1964) ‘La notation grecque au temps d'Aristoxène’, Revue de musicologie 50: 222–5.CrossRefGoogle Scholar
Restani, D. (2001) ‘Un manuale per Teoderico’, in , Musica per governare. Ravenna: 57–84.Google Scholar
(1958) ‘Die Aufgaben der Musiklehre nach Aristoxenos und Klaudios Ptolemaios’, Archiv für Musikwissenschaft 15: 209–29 [revised in Richter 2000].CrossRefGoogle Scholar
Richter, L. (2000) ‘Die Aufgaben der Musiklehre nach Aristoxenos und Klaudios Ptolemaios’, in , Momente der Musikgeschichte Antike und Byzanz, Anif and Salzburg: 93–115 [a revised version of Richter 1958].Google Scholar
(1985) ‘Logos und Diastema in der griechischen Musiktheorie’, Archiv für Musikwissenschaft 42: 18–36.CrossRefGoogle Scholar
(1998) ‘Harmonia e teoria dei gene musicali nella Grecia antica’, Seminari Romani di cultura greca 1: 345–63.Google Scholar
(1999a) ‘La formazione del lessico musicale nella Grecia antica’, Tesi di dottorato. Urbino.Google Scholar
(1999b) ‘Terminologia dello “spazio sonoro” negli Elementa Harmonica di Aristosseno di Taranto’, Quaderni urbinati di cultura classica 61: 93–103.CrossRefGoogle Scholar
(2002) ‘The development of vertical direction in the spatial representation of sound’, in Studien zur Musikarchäologie 3, ed. E. Hickmann, Orient-Archäologie 10: 389–92.Google Scholar
(2004) ‘Colours in music: metaphoric musical language in Greek antiquity’, in Studien zur Musikarchäologie 4, eds. E. Hickmann and R. Eichmann, Orient-Archäologie 15: 29–34.Google Scholar
Rossi, L. E. (1988) ‘La dottrina dell’ “ethos” musicale e il simposio’, in Gentili and Pretagostini (1988): 238–45.
Rossi, L. E. (2000) ‘Musica e psicologia nel mondo antico e nel mondo moderno’, in Cassio, Musti and Rossi (2000): 57–96.
(1906) ‘Sur l'authenticité probable de la division du canon musical attribuée à Euclide’, Revue des études greques 19: 318–20.CrossRefGoogle Scholar
(1933) ‘Further notes on Aristoxenus and musical intervals’, Classical Quarterly 27: 88–96.CrossRefGoogle Scholar
Scholz, H. (1975) ‘The ancient axiomatic theory’, in Articles on Aristotlei, eds. , and . London: 50–64.Google Scholar
Sicking, C. M. J. (1998) ‘Theophrastus on the nature of music’, in van Ophuijsen and van Raalte (1998): 97–142.
(1982) ‘The relationship between Aristotle's two Analytics’, Classical Quarterly 32: 327–35.CrossRefGoogle Scholar
(1980a) ‘Cleonides, Eisagōgḗ Harmonikḗ: critical edition, translation and commentary’, PhD diss. North Carolina–Chapel Hill.Google Scholar
(2004) ‘Aristotle on colour, light and imperceptibles’, Bulletin of the Institute of Classical Studies 47: 129–40.CrossRefGoogle Scholar
Strasburger, H. (1990) Studien zur alten Geschichte III. Hildesheim.
(1902a) ‘Du rôle de la musique grecque dans le développement de la mathématique pure’, Bibliotheca mathematica 3: 161–75.Google Scholar
(1902b) ‘Sur les intervalles de la musique grecque’, Revue des études grecques 15: 336–52.CrossRefGoogle Scholar
(1904a) ‘Inauthenticité de la “Division du Canon” attribuée à Euclide’, Comptes rendus des séances de l'Académie des Inscriptions et Belles-Lettres: 439–45.Google Scholar
(1904b) ‘À propos des fragments philolaïques sur la musique’, Revue de philologie 28: 233–49.Google Scholar
Wallace, R. W. (1991) ‘Damone di Oa ed i suoi successori: un’ analisi delle fonti’, in Wallace and MacLachlan (1991): 30–53.
Wallace, R. W. (1995) ‘Music theorists in fourth-century Athens’, in Gentili and Perusino (1995): 17–40.
Wallace, R. W. (1997) ‘Poet, public and “theatocracy”: audience performance in classical Athens’, in Poet, Public and Performance in Ancient Greece, eds. and . Baltimore, Maryland: 97–111.Google Scholar
(1994) ‘Logos und Aisthesis: zum Methodenstreit in der antiken Musiktheorie’, International Journal of Musicology 3: 43–55.Google Scholar
(1981) ‘The singing of Homer and the modes of early Greek music’, Journal of Hellenic Studies 101: 113–29.CrossRefGoogle Scholar
(1985) ‘Ion of Chios’, Bulletin of the Institute of Classical Studies 32: 71–8.CrossRefGoogle Scholar
(1932) ‘Aristoxenus and the intervals of Greek music’, Classical Quarterly 26: 195–208.CrossRefGoogle Scholar
(1973) ‘The first notational diagram of Aristides Quintilianus’, Philologus 117: 243–9.CrossRefGoogle Scholar
(1995) ‘Kosmos als Klangfigur: Platons Naturvision im Timaios’, Perspektiven der Philosophie 21: 105–21.CrossRefGoogle Scholar
(2001) Study in Aristoxenus' Harmonica Stoicheia [in Japanese with English summary]. Ahasikawa.Google Scholar
(1980) ‘Pythagoras und die Anfänge des musiktheoretischen Denkens bei den Griechen’, Jahrbuch des Staatlichen Instituts für Musikforschung 1979–80: 203–11.Google Scholar
(1984) ‘Hypate, Mese und Nete in frühgriechischen Denken’, Archiv für Musikwissenschaft 41: 1–26.CrossRefGoogle Scholar
Zedda, S. (2000) ‘How to build a world soul: a practical guide’, in Wright (2000): 23–42.
(1997) Wissenschaft, Philosophie und Religion im frühen Pythagoreismus. Berlin.CrossRefGoogle Scholar
(1982) ‘La “Division du Canon” et la théorie mathématique des intervalles musicaux’, Historia Scientiarum 22: 97–115.Google Scholar
(1955) ‘The importance of Damonian theory in Plato's thought’, Transactions of the American Philological Society 86: 88–102.Google Scholar
(1980) ‘Musical development in the school of Aristotle’, Research Chronicle 16: 78–98.Google Scholar
(1977) ‘Arithmetic and geometric division of the tetrachord’, Journal of Music Theory 21: 294–323.CrossRefGoogle Scholar
(1981) ‘Republic 530c–531c: another look at Plato and the Pythagoreans’, American Journal of Philology 102: 395–410.CrossRefGoogle Scholar
(1984a) ‘Placing Sectio canonis in historical and philosophical contexts’, Journal of Hellenic Studies 104: 157–61.CrossRefGoogle Scholar
(1984b) ‘The consonant eleventh and the expansion of the musical tetraktys: a study of ancient Pythagoreanism’, Journal of Music Theory 28: 191–223.CrossRefGoogle Scholar
(1991) The Euclidean Division of the Canon: Greek and Latin Sources. Lincoln and London.Google Scholar
(1978a) ‘Symphōnoi arithmoi: a note on Republic 531c1–4’, Classical Philology 18: 337–42.CrossRefGoogle Scholar
(1978b) ‘Hoi kaloumenoi harmonikoi: the predecessors of Aristoxenus’, Proceedings of the Cambridge Philological Society 24: 1–21.CrossRefGoogle Scholar
(1978c) ‘Music and mathematics: Theophrastus against the number-theorists’, Proceedings of the Cambridge Philological Society 23: 1–15.CrossRefGoogle Scholar
(1981b) ‘Methods and aims in the Euclidean Sectio Canonis’, Journal of Hellenic Studies 101: 1–16.CrossRefGoogle Scholar
(1982a) ‘Aristides Quintilianus and constructions in early music theory’, Classical Quarterly 32: 184–97.CrossRefGoogle Scholar
(1982b) ‘The innovations of Lysander the kitharist’, Classical Quarterly 32: 266–9.CrossRefGoogle Scholar
(1984b) ‘Aristoxenus’ theorems and the foundations of harmonic science’, Ancient Philosophy 4: 23–64.CrossRefGoogle Scholar
Barker, A. (1985) ‘Theophrastus on pitch and melody’, in Theophrastus of Eresus: on his Life and Work, eds. New Brunswick and Oxford: 289–324.Google Scholar
Barker, A. (1989b) ‘Archita di Taranto e l'armonica pitagorica’, in Tra Sicilia e Magna Grecia, eds. and . Pisa: 159–78.Google Scholar
Barker, A. (1991) ‘Three approaches to canonic division’, in Peri tōn Mathḗmatōn, ed. , APEIRON 24 no. 4: 49–84.Google Scholar
Barker, A. (1994a) ‘Greek musicologists in the Roman Empire’, in The Sciences in Greco-Roman Society, ed. , APEIRON 27 no. 4: 53–74.Google Scholar
(1994b) ‘Ptolemy's Pythagoreans, Archytas, and Plato's conception of mathematics’, Phronesis 39: 113–35.CrossRefGoogle Scholar
(1994c) ‘An Oxyrhynchus fragment on harmonic theory’, Classical Quarterly 44: 75–84.CrossRefGoogle Scholar
Barker, A. (1995) ‘Heterophonia and Poikilia: accompaniments to Greek melody’, in Gentili and Perusino (1995): 41–60.
Barker, A. (1996) ‘Plato's Philebus: the numbering of a unity’, in Dialogues with Plato, ed. , APEIRON 29 no. 4: 143–64.Google Scholar
Barker, A. (2000b), ‘Timaeus on music and the liver’, in Wright (2000): 85–100.
(2001b) ‘La musica di Stesicoro’, Quaderni Urbinati di Cultura Classica 67: 7–20.CrossRefGoogle Scholar
Barker, A. (2002b) ‘Words for sounds’, in Tuplin and Rihll (2002): 22–35.
Barker, A. (2003) ‘Early Timaeus commentaries and Hellenistic musicology’, in Ancient Approaches to Plato's Timaeus, eds. and . London: 73–87.Google Scholar
(2004) ‘Theophrastus and Aristoxenus: confusions in musical metaphysics’, Bulletin of the Institute of Classical Studies 47: 101–17.CrossRefGoogle Scholar
(2005b) ‘The journeying voice: melody and metaphysics in Aristoxenian harmonic science’, APEIRON 38: 203–26.CrossRefGoogle Scholar
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. . Leiden.Google Scholar
, and (2001) ‘Eratosthenes’, in Die Musik in Geschichte und Gegenwart, Kassel 1999–, Personenteil 6: 399–400.Google Scholar
Barnes, J. (1981) ‘Proof and the syllogism’, in Aristotle on Science: the Posterior Analytics, ed. . Padua: 17–59.Google Scholar
(1982) ‘Les nuances dans le Traité d'harmonique d'Aristoxène de Tarente’, Revue des études grecques 95: 54–73.CrossRefGoogle Scholar
(1992) ‘L'harmonique comme science dans l'antiquité grecque’, in Lustgarten (1992): 201–8.Google Scholar
von Blumenthal, A. (1939) Ion von Chios:die Reste seiner Werke. Stuttgart and Berlin.
(1989) ‘Plotinus and Proclus on the criterion of truth’, in Huby and Neal (1989): 257–80.Google Scholar
Bolton, R. (1991) ‘Aristotle's method in natural science’, in Judson (1991): 1–29.
Bostock, D. (1991) ‘Aristotle on continuity in Physicsvi’, in Judson (1991): 179–212.
(1978) ‘The minor sixth (8:5) in early Greek harmonic science’, American Journal of Philology 99: 501–6.CrossRefGoogle Scholar
(1982), ‘The foundations of early Pythagorean harmonic science: Archytas, fragment 1’, Ancient Philosophy 2: 79–104.CrossRefGoogle Scholar
Bowen, A. C. (1991b) ‘Euclid's Sectio Canonis and the history of Pythagoreanism’, in Bowen (1991a): 164–87.
Bowen, A. C., and W. 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. . Toronto and Buffalo: 97–148.CrossRefGoogle Scholar
(1978) ‘Boethius and Nicomachus: an essay concerning the sources of De Institutione Musica’, Vivarium 16: 1–45.CrossRefGoogle Scholar
Brancacci, A. (1984) ‘Aristosseno e lo statuto epistemologico della scienza armonica’, in La scienza ellenistica, eds. and . Naples: 154–85.Google Scholar
Brancacci, A. (1988) ‘Alcidamante e PHibeh 13 “De musica”: musica della retorica e retorica della musica’, in Aristoxenica, Menandrea, fragmenta philosophica, ed. . Florence: 61–84.Google Scholar
(1962) Weisheit und Wissenschaft: Studien zu Pythagoras, Philolaos und Platon. Nuremberg.Google Scholar
(1972) Lore and Science in Ancient Pythagoreanism (translation of Burkert (1962) by E. L. Minar, Jr.). Cambridge, Mass.Google Scholar
Burnyeat, M. F. (1987) ‘Platonism and mathematics: a prelude to discussion’, in Mathematics and Metaphysics in Aristotle, ed. . Bern and Stuttgart: 213–40.Google Scholar
(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.Google Scholar
Caldwell, J. (1981) ‘The De Institutione Arithmetica and the De Institutione Musica’, in Boethius: his Life, Thought and Influence, ed. . Oxford: 135–54.Google Scholar
Campbell, D. A. (1991) Greek Lyric III (Loeb Classical Library). Cambridge Mass. and London.
(2000) ‘Who's afraid of the Sophists? Against ethical correctness’, Hypatia 15.4: 102–20.Google Scholar
(1988) ‘Nicomachus of Gerasa and the dialect of Archytas, fr. 1’, Classical Quarterly 38: 135–9.CrossRefGoogle Scholar
, and (eds.) (2000) Synaulia: Cultura musicale in Grecia e contatti mediterranei. Naples.Google Scholar
(1967) ‘Nouvelles remarques sur les deux notations musicales grecques’, Recherches de papyrologie 4: 210–16.Google Scholar
(1968) ‘Nicomaque, Aristote et Terpandre devant la transformation de l'heptachorde grec en octacorde’, Yuval 1: 132–54.Google Scholar
(1973) ‘La notation archaïque grecque d'après Aristide Quintilien’, Revue des études grecques 36: 17–34.CrossRefGoogle Scholar
(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.Google Scholar
(1972) ‘L'endecacordo di Ione di Chio’, Quaderni urbinati di cultura classica 13: 54–61.CrossRefGoogle Scholar
Comotti, G. (1991) ‘Pitagora, Ippaso, Laso e il metodo sperimentale’, in Wallace and MacLachlan (1991): 20–9.
Creese, D. E. (2002) ‘The geometry of sound: the monochord in Greek harmonic science’, PhD diss. Birmingham.
(1963–4) ‘Pythagorean mathematics and music’, Journal of Aesthetics and Art Criticism 22: 189–98, 325–35.CrossRefGoogle Scholar
Crocker, R. L. (1966) ‘Aristoxenus and Greek mathematics’, in Aspects of Medieval and Renaissance Music, ed. . New York: 96–110.
, and (1951) Die Fragmente der Vorsokratiker, 6th edn. [cited throughout as DK]. Berlin.Google Scholar
(1945) ‘Studies in musical terminology in fifth century literature’, Eranos 43: 176–97.Google Scholar
(eds.) (1992) Theophrastus of Eresus: Sources for his Life, Writings, Thought and Influence, 2 vols. Leiden.Google Scholar
(1996) ‘Musica e medicina: dal mito d'Orfeo alla biomusica’, Atti dell’ Academia Ligure di Scienze e Lettere 53: 513–78.Google Scholar
, and (eds.) (1995) Mousike: Metrica, Ritmica e Musica Greca in Memoria di Giovanni Comotti. Pisa and Rome.Google Scholar
Gilula, D. (2000) ‘Stratonicus, the witty harpist’, in Athenaeus and his World, eds. and . Exeter: 423–33.Google Scholar
Glucker, J. (1998) ‘Theophrastus, the Academy, and the Athenian philosophical atmosphere’, in van Ophuijsen and van Raalte (1998): 299–316.
(1951) ‘Key, mode, species’, Journal of the American Musicological Society 4: 20–6.CrossRefGoogle Scholar
Gottschalk, H. B. (1998) ‘Theophrastus and the Peripatos’, in van Ophuijsen and van Raalte (1998): 281–98.
Hagel, S. (2005) ‘Twenty-four in auloi’, in Ancient Greek music in Performance, eds. and . Vienna: 51–91.Google Scholar
Hankinson, R. J. (2005) ‘Aristotle on kind-crossing’, in Philosophy and the Sciences in Antiquity, ed. . Aldershot: 23–54.Google Scholar
Henderson. M. I. (1957) ‘Ancient Greek music’, in The New Oxford History of Musici, ed. . London: 336–403.Google Scholar
(1995) Die Musik als Scientia Mathematica von der Spätantike bis zur Barock. Bern and Frankfurt am Main.Google Scholar
(2005) Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King. Cambridge.CrossRefGoogle Scholar
Izzo, A. (1987) ‘Musica e numero da Ippaso ad Archita’, in Forme del sapere nei Presocratici, eds. and . Rome: 137–67.Google Scholar
(1896) ‘Musical pitch and the measurement of intervals among the ancient Greeks’, PhD. diss. Johns Hopkins.Google Scholar
(1899) ‘The motion of the voice in the theory of ancient music’, Transactions of the Americal Philological Association 30: 42–55.CrossRefGoogle Scholar
Kahn, C. H. (1974) ‘Pythagorean philosophy before Plato’, in The Presocratics: A Collection of Critical Essays, ed. . Princeton: 161–85.Google Scholar
(1993) ‘The musical fragments of Philolaus and the Pythagorean tradition’, Acta Antiqua Academiae Scientiarum Hungaricae 34: 55–67.Google Scholar
(1994) ‘Greek music theory in the fourth century bc’, International Journal of Musicology 3: 57–88.Google Scholar
Knobloch, E. (1992) ‘Rapports historiques entre musique, mathématique et cosmologie’, in Lustgarten (1992): 123–67.
(1959) ‘Le Philèbe et les Eléments harmoniques d'Aristoxène’, Revue philosophique 149: 41–72.Google Scholar
(1959) ‘Die Weltseele und der musikalische Raum (Platons Timaios 35a ff.)’, Hermes 87: 393–414.Google Scholar
(1900) ‘Un passage d'Euclide mal interprété’, Revue de philologie, de littérature et d'histoire ancienne 24: 236–41.Google Scholar
(1904) Aristoxène de Tarente, Disciple d'Aristote, et la Musique de l'Antiquité. Paris.Google Scholar
(1995) ‘On harmony: etymology, pre-Platonic meanings and elements’, Platon47–8: 179–93.Google Scholar
(1963) ‘The Brauron aulos’, Annual of the British School at Athens 58: 116–19.CrossRefGoogle Scholar
(1968) ‘A newly discovered aulos’, Annual of the British School at Athens 63: 231–8.CrossRefGoogle Scholar
Lennox, J. G. (1986) ‘Aristotle, Galileo and “mixed sciences”’, in Reinterpreting Galileo, ed. . Washington, D.C.: 29–51.Google Scholar
(1961) ‘The hendecachord of Ion of Chios’, Transactions of the American Philological Association 92: 295–307.CrossRefGoogle Scholar
(1972) ‘Synesis in Aristoxenian theory’, Transactions of the Americal Philological Association 103: 211–34.CrossRefGoogle Scholar
(1988) ‘Aristoxenus and empiricism: a reevaluation based on his theories’, Journal of Music Theory 32: 51–73.CrossRefGoogle Scholar
Long, A. A. (1989) ‘Ptolemy on the criterion: an epistemology for the working scientist’, in Huby and Neal (1989): 151–78.
(1975) ‘An annotated translation of Euclid's division of the monochord’, Journal of Music Theory 19: 236–58.CrossRefGoogle Scholar
Mathiesen, T. J. (1976) ‘Problems of terminology in ancient Greek theory: harmonia’, in Harmonia: Festival Essays for Pauline Alderman, ed. . Boston: 1–17.Google Scholar
(1999) Apollo's Lyre: Greek Music and Music Theory in Antiquity and the Middle Ages. Lincoln and London.Google Scholar
(1998) ‘Making sense of Aristotelian demonstration’, Oxford Studies in Ancient Philosophy 16: 161–225.Google Scholar
Meriani, A. (1995) ‘Un “esperimento” di Pitagora (Nicom. Harm. ench. 6, pp. 245–248 Jan)’, in Gentili and Perusino (1995): 77–92.
Meriani, A. (2003a) ‘Teoria musicale e antiempirismo’, in Platone, la Repubblica: traduzione e commento, vol. v, libri vi–vii, ed. . Naples, 565–602.Google Scholar
(1923) ‘The musical scales of Plato's Republic’, Classical Quarterly 17: 125–36.CrossRefGoogle Scholar
Mourelatos, A. P. D. (1980) ‘Plato's “Real Astronomy”: Republic 527d–531d’, in Anton (1980): 33–73.
(1981) ‘Astronomy and kinematics in Plato's project of rationalist explanation’, Studies in the History and Philosophy of Science 12: 1–32.CrossRefGoogle Scholar
(1963) ‘Dialectique musicale et dialectique philosophique chez Platon’, Annales de la Faculté des Lettres et Sciences humaines d'Aix 37: 159–63.Google Scholar
(1971) ‘Science harmonique et empirisme musical chez Platon’, Actes du XXIIème Congrès international d'histoire des sciences 3A, Paris: 109–12.Google Scholar
Mueller, I. (1980) ‘Ascending to problems: astronomy and harmonics in Republicvii’, in Anton (1980): 103–21.
Musti, D. (2000) ‘Musica tra aristocrazia e democrazia’, in Cassio, Musti and Rossi (2000): 7–55.
Najock, D. (1996) ‘Aristoxenos und die Auloi’, in Worte, Bilde, Töne, eds. and . Würzburg: 59–76.Google Scholar
(1997) ‘Classical mathematics in the classical Mediterranean’, Mediterranean Historical Review 12: 1–24.CrossRefGoogle Scholar
Netz, R. (2002) ‘Greek mathematicians: a group picture’, in Tuplin and Rihll (2002): 196–216.
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.
(2007) ‘Lasus of Hermione, Pindar, and the riddle of S’, Classical Quarterly 57:1–21.CrossRefGoogle Scholar
(1961) ‘Les notations d'Aristide Quintilien et les harmonies dites Platoniciennes’, Revue de musicologie 47: 159–76.CrossRefGoogle Scholar
(1964) ‘La notation grecque au temps d'Aristoxène’, Revue de musicologie 50: 222–5.CrossRefGoogle Scholar
Restani, D. (2001) ‘Un manuale per Teoderico’, in , Musica per governare. Ravenna: 57–84.Google Scholar
(1958) ‘Die Aufgaben der Musiklehre nach Aristoxenos und Klaudios Ptolemaios’, Archiv für Musikwissenschaft 15: 209–29 [revised in Richter 2000].CrossRefGoogle Scholar
Richter, L. (2000) ‘Die Aufgaben der Musiklehre nach Aristoxenos und Klaudios Ptolemaios’, in , Momente der Musikgeschichte Antike und Byzanz, Anif and Salzburg: 93–115 [a revised version of Richter 1958].Google Scholar
(1985) ‘Logos und Diastema in der griechischen Musiktheorie’, Archiv für Musikwissenschaft 42: 18–36.CrossRefGoogle Scholar
(1998) ‘Harmonia e teoria dei gene musicali nella Grecia antica’, Seminari Romani di cultura greca 1: 345–63.Google Scholar
(1999a) ‘La formazione del lessico musicale nella Grecia antica’, Tesi di dottorato. Urbino.Google Scholar
(1999b) ‘Terminologia dello “spazio sonoro” negli Elementa Harmonica di Aristosseno di Taranto’, Quaderni urbinati di cultura classica 61: 93–103.CrossRefGoogle Scholar
(2002) ‘The development of vertical direction in the spatial representation of sound’, in Studien zur Musikarchäologie 3, ed. E. Hickmann, Orient-Archäologie 10: 389–92.Google Scholar
(2004) ‘Colours in music: metaphoric musical language in Greek antiquity’, in Studien zur Musikarchäologie 4, eds. E. Hickmann and R. Eichmann, Orient-Archäologie 15: 29–34.Google Scholar
Rossi, L. E. (1988) ‘La dottrina dell’ “ethos” musicale e il simposio’, in Gentili and Pretagostini (1988): 238–45.
Rossi, L. E. (2000) ‘Musica e psicologia nel mondo antico e nel mondo moderno’, in Cassio, Musti and Rossi (2000): 57–96.
(1906) ‘Sur l'authenticité probable de la division du canon musical attribuée à Euclide’, Revue des études greques 19: 318–20.CrossRefGoogle Scholar
(1933) ‘Further notes on Aristoxenus and musical intervals’, Classical Quarterly 27: 88–96.CrossRefGoogle Scholar
Scholz, H. (1975) ‘The ancient axiomatic theory’, in Articles on Aristotlei, eds. , and . London: 50–64.Google Scholar
Sicking, C. M. J. (1998) ‘Theophrastus on the nature of music’, in van Ophuijsen and van Raalte (1998): 97–142.
(1982) ‘The relationship between Aristotle's two Analytics’, Classical Quarterly 32: 327–35.CrossRefGoogle Scholar
(1980a) ‘Cleonides, Eisagōgḗ Harmonikḗ: critical edition, translation and commentary’, PhD diss. North Carolina–Chapel Hill.Google Scholar
(2004) ‘Aristotle on colour, light and imperceptibles’, Bulletin of the Institute of Classical Studies 47: 129–40.CrossRefGoogle Scholar
Strasburger, H. (1990) Studien zur alten Geschichte III. Hildesheim.
(1902a) ‘Du rôle de la musique grecque dans le développement de la mathématique pure’, Bibliotheca mathematica 3: 161–75.Google Scholar
(1902b) ‘Sur les intervalles de la musique grecque’, Revue des études grecques 15: 336–52.CrossRefGoogle Scholar
(1904a) ‘Inauthenticité de la “Division du Canon” attribuée à Euclide’, Comptes rendus des séances de l'Académie des Inscriptions et Belles-Lettres: 439–45.Google Scholar
(1904b) ‘À propos des fragments philolaïques sur la musique’, Revue de philologie 28: 233–49.Google Scholar
Wallace, R. W. (1991) ‘Damone di Oa ed i suoi successori: un’ analisi delle fonti’, in Wallace and MacLachlan (1991): 30–53.
Wallace, R. W. (1995) ‘Music theorists in fourth-century Athens’, in Gentili and Perusino (1995): 17–40.
Wallace, R. W. (1997) ‘Poet, public and “theatocracy”: audience performance in classical Athens’, in Poet, Public and Performance in Ancient Greece, eds. and . Baltimore, Maryland: 97–111.Google Scholar
(1994) ‘Logos und Aisthesis: zum Methodenstreit in der antiken Musiktheorie’, International Journal of Musicology 3: 43–55.Google Scholar
(1981) ‘The singing of Homer and the modes of early Greek music’, Journal of Hellenic Studies 101: 113–29.CrossRefGoogle Scholar
(1985) ‘Ion of Chios’, Bulletin of the Institute of Classical Studies 32: 71–8.CrossRefGoogle Scholar
(1932) ‘Aristoxenus and the intervals of Greek music’, Classical Quarterly 26: 195–208.CrossRefGoogle Scholar
(1973) ‘The first notational diagram of Aristides Quintilianus’, Philologus 117: 243–9.CrossRefGoogle Scholar
(1995) ‘Kosmos als Klangfigur: Platons Naturvision im Timaios’, Perspektiven der Philosophie 21: 105–21.CrossRefGoogle Scholar
(2001) Study in Aristoxenus' Harmonica Stoicheia [in Japanese with English summary]. Ahasikawa.Google Scholar
(1980) ‘Pythagoras und die Anfänge des musiktheoretischen Denkens bei den Griechen’, Jahrbuch des Staatlichen Instituts für Musikforschung 1979–80: 203–11.Google Scholar
(1984) ‘Hypate, Mese und Nete in frühgriechischen Denken’, Archiv für Musikwissenschaft 41: 1–26.CrossRefGoogle Scholar
Zedda, S. (2000) ‘How to build a world soul: a practical guide’, in Wright (2000): 23–42.
(1997) Wissenschaft, Philosophie und Religion im frühen Pythagoreismus. Berlin.CrossRefGoogle Scholar