arXiv 2018-01-09 EN Groupoids and Wreath Products of Musical Transformations: a Categorical Approach from poly-Klumpenhouwer Networks Popoff, Alexandre · Andreatta, Moreno · Ehresmann, Andree
arXiv 2017-11-14 EN Optimal Tuning of Two-Dimensional Keyboards Bannerman, Aricca · Emington, James · Venkatesh, Anil
arXiv 2016-11-02 EN Relational PK-Nets for Transformational Music Analysis Popoff, Alexandre · Andreatta, Moreno · Ehresmann, Andree
arXiv 2015-08-18 EN A mathematical model for voice leading and its complexity Bergomi, Mattia G. · Jadanza, Riccardo D. · Portaluri, Alessandro
arXiv 2015-05-18 EN Sur le théorème des trois distances et la construction des gammes Trotignon, Nicolas
arXiv 2014-02-06 EN Generalized Inversions and the Construction of Musical Group and Groupoid Actions Popoff, Alexandre
arXiv 2013-11-17 EN John Cage's Number Pieces as Stochastic Processes: a Large-Scale Analysis Popoff, Alexandre
arXiv 2013-05-30 EN Using Monoidal Categories in the Transformational Study of Musical Time-Spans and Rhythms Popoff, Alexandre
arXiv 2012-04-14 EN Towards A Categorical Approach of Transformational Music Theory Popoff, Alexandre
arXiv 2011-11-18 EN Building Generalized Neo-Riemannian Groups of Musical Transformations as Extensions Popoff, Alexandre