Categories, Musical Instruments, and Drawings: A Unification Dream

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

Volumn 11502 LNAI, Issue , 2019, Pages 59-72

  Mannone, Maria ^a   Favali, Federico ^b  

^a UNIVERSITY OF PALERMO   (Italy)

^b NONE   (Italy)

Author keywords

Category theory; Classifying toposes; Gestural similarity

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTER SCIENCE; COMPUTERS;

CATEGORY THEORY; CLASSIFYING TOPOSES; CONTEMPORARY MUSICS; GESTURAL SIMILARITY; MATHEMATICAL FORMALISM; MUSICAL GESTURES; MUSICAL STRUCTURES; PLAYING TECHNIQUES;

MUSICAL INSTRUMENTS;

EID: 85067836601     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-030-21392-3_5     Document Type: Conference Paper

References (39)

1. Antoniadis, P., Bevilacqua, F.: Processing of symbolic music notation via mul-timodal performance data: Brian Ferneyhough’s Lemma-Icon-Epigram for solo piano, phase 1. In: Hoadley, R., Nash, C., Fober, D. (eds.) Proceedings of TENOR 2016, pp. 127–136 (2016)
2. Antoniadis, P.: Embodied navigation of complex piano notation: rethinking musical interaction from a performer’s perspective. Ph.D. thesis, Université de Strasbourg, pp. 274–278 (2018)
3. Arias, J.S.: Spaces of gestures are function spaces. J. Math. Music 12(2), 89–105 (2018)
4. Arias, J.S.: Gestures on locales and localic topoi. In: Pareyon, G., Pina-Romero, S., Agustin-Aquino, O.A., Lluis-Puebla, E. (eds.) The Musical-Mathematical Mind. CMS, pp. 29–39. Springer, Heidelberg (2017). https://doi.org/10.1007/978-3-319-47337-6 4
5. Caramello, O.: Theories, Sites, Toposes. Oxford University Press, New York (2018)
6. Caramello, O.: The theory of topos-theoretic ‘bridges’-a conceptual introduction. Glass-bead (2016). http://www.glass-bead.org/article/the-theory-of-topos-theoretic-bridges-a-conceptual-introduction/?lang=enview
7. Caramello, O.: The unification of mathematics via topos theory. ArXiv arXiv:1006.3930 (2010)
8. Collins, T., Mannone, M., Hsu, D., Papageorgiou, D.: Psychological validation of mathematical gesture theory, Submitted (2018)
9. Delle Monache, S., Rocchesso, D., Bevilacqua, F., Lemaitre, G., Baldan, S., Cera, A.: Embodied sound design. Int. J. Hum.-Comput. Stud. 118, 47–59 (2018)
10. Dick, R.: The Other Flute. Lauren Keiser Music Publishing, Oxford (1989)
11. Di Donato, B., Bullock, J., Tanaka, A.: Myo Mapper: a Myo armband to OSC mapper. In: Dahl, L., Bowman, D., Martin, T. (eds.) Proceedings of NIME Conference, Blacksburg, USA, pp. 138–143 (2018)
12. Ehresmann, A., Gomez-Ramirez, J.: Conciliating neuroscience and phenomenology via category theory. Prog. Biophys. Mol. Biol. (JPMB) 19(2), 347–359 (2016)
13. Fiore, T., Noll, T., Satyendra, R.: Morphisms of generalized interval systems and PR-groups. J. Math. Music 7(1), 3–27 (2012)
14. Fish, S., L’Huillier, N.: Telemetron: a musical instrument for performance in zero gravity. In: Dahl, L., Bowman, D., Martin, T. (eds.) Proceedings of NIME Conference, Blacksburg, USA, pp. 315–317 (2018)
15. Genette, G.: L’opera dell’arte, two volumes. Clueb, Bologna (1999)
16. Guo, C., Song-Chun, Z., Wu, Y. N.: Towards a mathematical theory of primal sketch and sketchability. In: 9th IEEE Conference on Computer Vision (2003)
17. Heller, F., Cheung Ruiz, I.M., Borchers, J.: An augmented flute for beginners. In: Cumhur Erkut, C., De Götzen, A. (eds.) Proceedings of NIME Conference, Copenhagen, Denmark, pp. 34–37 (2017)
18. Isherwood, N.: The Techniques of Singing. Bärenreiter, Germany (2013)
19. Isnard, V., Taffou, M., Viaud-Delmon, I., Suied, C: Auditory sketches: very sparse representations of sounds are still recognizable. PloS One 11(3) (2016). https://doi.org/10.1371/journal.pone.0150313
20. Jedrzejewski, F.: Hétérotopies musicales. Modéles mathématiques de la musique. Éditions Hermann, Paris (2019)
21. Kelkar, T., Jensenius, A.R.: Analyzing free-hand sound-tracing of melodic phrases. Appl. Sci. 8(135), 1–21 (2018)
22. Kubota, A., Hori, H., Naruse, M., Akiba, F.: A new kind of aesthetics-the mathematical structure of the aesthetic. Philosophies 3(14), 1–10 (2017)
23. Kubovy, M., Schutz, M.: Audio-visual objects. Rev. Philos. Psychol. 1(1), 41–61 (2010)
24. Mac Lane, S.: Categories for the Working Mathematician. Springer, New York (1978). https://doi.org/10.1007/978-1-4757-4721-8
25. Mannone, M.: Introduction to gestural similarity. An application of category theory to the orchestra. J. Math. Music 12(3), 63–87 (2018)
26. Mannone, M.: Knots, music and DNA. J. Creat. Music Syst. 2(2), 1–23 (2018). https://www.jcms.org.uk/article/id/523
27. Mannone, M., Favali, F.: Shared structures and transformations in mathematics and music: from categories to musicology. In: ESCOM-Italy Primo Meeting, Roma, Italy (2018)
28. Mannone, M.: Mathematics, Music, Nature (in Progress)
29. Mannone, M., Kitamura, E., Huang, J., Sugawara, R., Kitamura, Y.: CubeHar-monic: a new interface from a magnetic 3D motion tracking system to music performance. In: Dahl, L., Bowman, D., Martin, T. (eds.) Proceedings of NIME Conference, Blacksburg, USA, pp. 350–351 (2018)
30. Mastropasqua, M.: L’evoluzione della tonalità nel XX secolo. L’atonalità in Schoenberg. Clueb, Bologna (2004)
31. Mazzola, G., et al.: The Topos of Music, 2nd edn. Springer, Heidelberg (2018)
32. Mazzola, G., Andreatta, M.: Diagrams, gestures and formulae in music. J. Math. Music 1(1), 23–46 (2007)
33. Mazzola, G., Mannone, M.: Global functorial hypergestures over general skeleta for musical performance. J. Math. Music 10(7), 227–243 (2016)
34. Popoff, A.: Using monoidal categories in the transformational study of musical time-spans and rhythms. arXiv:1305.7192v3 (2013)
35. Russolo, L.: L’arte dei rumori. Edizioni futuriste di poesia, Milano (1910)
36. Sloboda, J.: Musical Mind. Oxford Science Publication, New York (2008)
37. Spence, C.: Crossmodal correspondences: a tutorial review. Atten. Percept. Psychophys. 73(4), 971–995 (2011)
38. Turchet, L.: Smart musical instruments: vision, design principles, and future directions. IEEE Access 7(1), 8944–8963 (2019)
39. Turchet, L.: Smart Mandolin: autobiographical design, implementation, use cases, and lessons learned. In: Cunningham, S., Picking, R. (eds.) Proceedings of the Audio Mostly Conference 2018, pp. 13:1–13:7, Wrexham Glyndwr University, Wrexham (2018). http://doi.acm.org/10.1145/3243274.3243280