Mazzola's model of Fuxian counterpoint

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 6726 LNAI, Issue , 2011, Pages 297-310

  Tymoczko, Dmitri ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

Antiparallel Fifths; Counterpoint; Fux; Guerino Mazzola; Methodology of Mathematical Music Theory; Orbifolds; Palestrina; Parallel Fifths

Indexed keywords

ANTIPARALLEL FIFTHS; COUNTERPOINT; FUX; GUERINO MAZZOLA; MUSIC THEORY; ORBIFOLDS; PALESTRINA; PARALLEL FIFTHS;

TOPOLOGY; COMPUTATION THEORY;

TOPOLOGY;

EID: 79959606198     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-21590-2_23     Document Type: Conference Paper

References (13)

1. Roeder, J.: A MaMuTh Achievement. Perspectives of New Music 31(2), 294-312 (1993)
2. Fux, J.: The Study of Counterpoint. Ed. and Trans. Alfred Mann. Norton, New York (1971) [1725]
3. Tymoczko, D.: A Geometry of Music. Oxford, New York (2011)
4. Kostka, S., Payne, D.: Tonal Harmony, 4th edn. Knopf, New York (2000)
5. Gauldin, R.: A Practical Approach to Sixteenth-Century Counterpoint. Waveland, Long Grove (1985)
6. Jeppesen, K.: Counterpoint: The Polyphonic Vocal Style of the Sixteenth Century. Trans. Glen Haydon. Prentice Hall, Englewood Cliffs (1939)
7. Vincentino, N.: L'antica Musica Ridotta alla moderna prattica. Antonio Barre, Rome (1555)
8. Agustín-Aquino, O.: Counterpoint in 2k-tone equal temperament. Journal of Mathematics and Music 3(3), 153-164 (2009)
9. Mazzola, G., et al.: The Topos of Music. Birkhauser, Basel (2002)
10. Mann, A.: The Study of Fugue. Dover, Mineola (1987); contains passages from Fux that discuss double counterpoint
11. Tymoczko, D.: The Geometry of Musical Chords. Science 313, 72-74 (2006)
12. Callender, C., Quinn, I., Tymoczko, D.: Generalized Voice Leading Spaces. Science 320, 346-348 (2008)
13. Hall, R., Tymoczko, D.: Submajorization and the Geometry of Unordered Collections. Under Review (2010)