@article{728209,
      recid = {728209},
      author = {Agustín-Aquino, Octavio Alberto, and Junod, Julien, and  Mazzola, G.},
      title = {Computational counterpoint worlds mathematical theory,  software, and experiments / [electronic resource] :},
      pages = {1 online resource (x, 220 pages) :},
      abstract = {The mathematical theory of counterpoint was originally  aimed at simulating the composition rules described in  Johann Joseph Fux's Gradus ad Parnassum. It soon became  apparent that the algebraic apparatus used in this model  could also serve to define entirely new systems of rules  for composition, generated by new choices of consonances  and dissonances, which in turn lead to new restrictions  governing the succession of intervals. This is the first  book bringing together recent developments and perspectives  on mathematical counterpoint theory in detail. The authors  include recent theoretical results on counterpoint worlds,  the extension of counterpoint to microtonal pitch systems,  the singular homology of counterpoint models, and the  software implementation of contrapuntal models. The book is  suitable for graduates and researchers. A good command of  algebra is a prerequisite for understanding the  construction of the model.},
      url = {http://library.usi.edu/record/728209},
      doi = {https://doi.org/10.1007/978-3-319-11236-7},
}