1. Musical experiences with Block Designs
- Author
-
Franck Jedrzejewski, Moreno Andreatta, Tom Johnson, Représentations musicales (Repmus), Sciences et Technologies de la Musique et du Son (STMS), Institut de Recherche et Coordination Acoustique/Musique (IRCAM)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche et Coordination Acoustique/Musique (IRCAM)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS), and Université Pierre et Marie Curie - Paris 6 (UPMC)-IRCAM-Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-IRCAM-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Steiner systems ,Computer science ,Triple system ,Block ,0102 computer and information sciences ,Musical ,01 natural sciences ,Block design ,[INFO.INFO-AI]Computer Science [cs]/Artificial Intelligence [cs.AI] ,[INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing ,[STAT.ML]Statistics [stat]/Machine Learning [stat.ML] ,[INFO.INFO-FL]Computer Science [cs]/Formal Languages and Automata Theory [cs.FL] ,Block (telecommunications) ,0101 mathematics ,Arithmetic ,Kirkmann problem ,[INFO.INFO-PL]Computer Science [cs]/Programming Languages [cs.PL] ,[SHS.MUSIQ]Humanities and Social Sciences/Musicology and performing arts ,business.industry ,010102 general mathematics ,16. Peace & justice ,Steiner system ,010201 computation theory & mathematics ,[INFO.INFO-SD]Computer Science [cs]/Sound [cs.SD] ,Artificial intelligence ,business - Abstract
Since the pioneer works of composer Tom Johnson, many questions arise about block designs. The aim of this paper is to propose some new graphical representations suitable for composers and analysts, and to study the relationship between pcsets and small t-designs. After a short introduction on the combinatorial aspects of t-designs, we emphasize the musical perspectives open by these mathematical objects.
- Published
- 2009