Music theory and mathematics / List of figures -- Notes on contributors -- Acknowledgments -- List of abbreviations -- Introduction / Catherine Nolan -- 10. Disciplining music theory -- 1. Mapping the terrain / Leslie Blasius -- 2. Musica practica : music theory as pedagogy / Robert W. Wason -- 3. Epistemologies of music theory / Nicholas Cook -- pt. 2. Speculative traditions -- 4. Greek music theory / Thomas J. Mathiesen -- 5. The transmission of ancient music theory into the Middle Ages / Calvin M. Bower -- 6. Medieval canonics / Jan Herlinger -- 7. Tuning and temperament / Rudolf Rasch -- 8. The role of harmonics in the scientific revolution / Penelope Gouk -- 9. From acoustics to Tonpsychologie / Burdette Green and David Butler -- 10. Music theory and mathematics / Catherine Nolan -- 26. Heinrich Schenker / A. Mapping tonal spaces -- 11. Notes, scales and modes in the earlier Middle Ages / William Drabkin -- 12. Renaissance modal theory : theoretical, compositional and editorial perspectives / Cristle Collins Judd -- 13. Tonal organization in seventeenth-century music theory / Gregory Barnett -- 14. Dualist tonal space and transformation in nineteenth-century musical thought / Henry Klumpenhouwer -- B. Compositional theory -- 15. Organum, discantus, contrapunctus in the Middle Ages / Sarah Fuller -- 16. Counterpoint pedagogy in the Renaissance / Peter Schubert -- 17. Performance theory / Albert Cohen -- 18. Steps to Parnassus : contrapuntal theory in 1725 precursors and successors / Ian Bent -- 19. Twelve-tone theory / John Covach -- 20. The evolution of rhythmic notation / Anna Maria Busse Berger -- 21. Theories of musical rhythm in the eighteenth and nineteenth centuries / William E. Caplin -- 22. Rhythm in twentieth-century theory / Justin London -- D. Tonality -- 23. Tonality / Brian Hyer -- 24. Rameau and eighteenth-century harmonic theory / Joel Lester -- 25. Nineteenth-century harmonic theory : the Austro-German legacy / David W. Bernstein -- 26. Heinrich Schenker / William Drabkin -- 31. The Index of subjects. A. Models of music analysis -- 27. Music and rhetoric / Robert Gjerdingen -- 28. Form / Scott Burnham -- 29. Thematic and motivic analysis / Jonathan Dunsby -- B. Music psychology -- 30. Energetics / Lee Rothfarb -- 31. The psychology of music / Robert Gjerdingen -- Index of authors -- Index of subjects.
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