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Journal of Mathematics and Music
Mathematical and Computational Approaches to Music Theory, Analysis, Composition and Performance
Volume 18, 2024 - Issue 2
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Articles

Renaissance canons with asymmetric schemes

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Pages 228-254 | Received 17 Jun 2023, Accepted 28 Nov 2023, Published online: 26 Dec 2023

References

  • Amiot, Emmanuel. 2011. “Structures, Algorithms, and Algebraic Tools for Rhythmic Canons.” Perspectives of New Music 49:93–142.
  • Arias-Valero, Juan Sebastián, Octavio Alberto Agustín-Aquino, and Emilio Lluis-Puebla. 2023. “Musicological, Computational, and Conceptual Aspects of First-species Counterpoint Theory.” Journal of Mathematics and Music 17 (3): 371–387. https://doi.org/10.1080/17459737.2022.2136775.
  • Auricchio, Gennaro, Luca Ferrarini, and Greta Lanzarotto. 2023. “An Integer Linear Programming Model for Tilings.” Journal of Mathematics and Music 17 (3): 514–530. https://doi.org/10.1080/17459737.2023.2180812.
  • Burn, David. 2001. “Further Observations on Stacked Canon and Renaissance Compositional Procedure: Gascongne's ‘Ista Est Speciosa’ and Forestier's ‘Missa L'Homme Armé’.” Journal of Music Theory 45 (1): 73–118. https://doi.org/10.2307/3090649.
  • Collins, Denis. 2002. “Bach's Occasional Canon BWV 1073 and ‘Stacked’ Canonic Procedure in the Eighteenth Century.” Bach 33 (2): 15–34. http://www.jstor.org/stable/41640503
  • Farbood, Morwaread, and Bernd Schoner. 2001. “Analysis and Synthesis of Palestrina-Style Counterpoint Using Markov Chains.” In International Computer Music Conference Proceedings, Vol. 2001, 4.
  • Feininger, Laurence K. J. 1937. “Die Frühgeschichte des Kanons bis Josquin des Prez (um 1500).” Thesis (Ph.D.), University of Heidelberg.
  • Forestier, Mathurin. 1996. “Missa L'Homme armé.” In Opera omnia, edited by Thomas G. MacCracken and Nors S. Josephson, Corpus mensurabilis musicae, No. 104. Neuhausen-Stuttgart: American Institute of Musicology; Hänssler-Verlag.
  • Gauldin, Robert. 1996. “The Composition of Late Renaissance Stretto Canons.” Theory and Practice 21:29–54. http://www.jstor.org/stable/41054290
  • Gauldin, Robert. 2013. A Practical Approach to 16th Century Counterpoint: Revised Edition. Waveland Press. https://books.google.com/books?id=afAVAAAAQBAJ.
  • Gosman, Alan. 1997. “Stacked Canon and Renaissance Compositional Procedure.” Journal of Music Theory 41 (2): 289–317. https://doi.org/10.2307/843961.
  • Herremans, Dorien, and Kenneth Sörensen. 2013. “Composing Fifth Species Counterpoint Music with a Variable Neighborhood Search Algorithm.” Expert Systems with Applications 40 (16): 6427–6437. https://doi.org/10.1016/j.eswa.2013.05.071.
  • Jeppesen, Knud. 2012. The Style of Palestrina and the Dissonance. Dover Books on Music: Analysis, Dover Publications. https://books.google.com/books?id=GQ6TcQvYnZoC.
  • Jeppesen, Knud, Glen Haydon, and Alfred Mann. 1992. Counterpoint: The Polyphonic Vocal Style of the Sixteenth Century. The Prentice-Hall music series, Dover Publications. https://books.google.com/books?id=OcSVGkug58gC.
  • Josquin des Prez. 1505/1937. “Werken van Josquin des Prés.” In Missa Hercules dux Ferrariae, Vol. 17, edited by Albert Smijers. Amsterdam: Vereeniging voor Nederlandsche Muziekgeschiedenis. https://imslp.org/wiki/Missa_Hercules_dux_Ferrariae.
  • La Rue, Pierre de. 1516/1996. “Missa O salutaris hostia.” In Missa O gloriosa Margaretha; Missa O salutaris hostia; Missa Pascale; Missa Pro fidelibus defunctis; Missa Puer natus est nobis, Vol. 5 edited by Nigel St. John Davison. American Institute of Musicology; Hänssler-Verlag. https://imslp.org/wiki/Missa_O_salutaris_hostia_(La_Rue%2C_Pierre_de).
  • Lewin, David Benjamin. 1983. “An Interesting Global Rule for Species Counterpoint.” In Theory Only 6 (8): 19–44.
  • Meyer, Carl D. 2000. Matrix Analysis and Applied Linear Algebra. Philadelphia: Society for Industrial and Applied Mathematics.
  • Palestrina, Giovanni Pierluigi da. 1569–1601/1862–1907. “Opera omnia Ioannis Petraloysii Praenestini.” https://imslp.org/wiki/Opera_omnia_Ioannis_Petraloysii_Praenestini_(Palestrina,_Giovanni_Pierluigi_da).
  • Robinson, B. W., and R. F. Hall. eds. 1989. The Aldrich Book of Catches. London, England: Novello. https://books.google.com/books?id=dsE5AQAAIAAJ.
  • van Geenen, Jurjen L. 2012. “On Designing Stacked Canons with Relative Chord Tones.” Journal of Mathematics and Music 6 (3): 187–205. https://doi.org/10.1080/17459737.2012.744443.
  • Vuza, Dan Tudor. 1991–1993. “Supplementary Sets and Regular Complementary Unending Canons.” Perspectives of New Music 29 (2): 22–49. (Part One); 30 (1): 184–207 (Part Two); 30 (2): 102–125 (Part Three); 31 (1): 270–305 (Part Four). https://doi.org/10.2307/833429.
  • Zarlino, Gioseffo. 1558/1968. The Art of Counterpoint. Part Three of Le Istituzioni Harmoniche. Music Theory Translation Series [2], New Haven, Yale University Press.

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