Abstract
What is music… if not, at the end of the day, an accessible, fun and expressive way to engage with mathematics and language? Oumupo (Ouvroir de Musique Potentielle, a Workshop for Potential Music) is a group where musicians and theorists can explore this open question through different exercises and experiments.
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Notes
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- 2.
Some of these examples have been presented in the French popular science magazine Maths Langages Express, intended for a large public audience (CIJM 2017).
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- 4.
This base was first described by George Bergman at a very young age: he was fourteen when his paper was published (Bergman 1957), but is said to have written it two years earlier.
- 5.
A comprehensive list of Euler’s work may be found on the Euler Archive’s website; see bibliography.
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Some of our theoretical work and musical examples may be found on Oumupo’s website, mostly in French: http://oumupo.org.
References
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Andreatta, M., Granger, M., Johnson, T., & Villenave, V. (2017). L’Oumupo, entre musique et mathématiques. In Maths Langages Express (p. 15). http://www.cijm.org/.
Bergman, G. (1957). A number system with an irrational base. Mathematics Magazine, 31, 98–110.
Dartmouth University, Euler Archive. (2004–2017). http://www.eulerarchive.org/.
Gardner, M. (1967). Mathematical games. Scientific American, 216, 118.
Johnson, T. (1996). Self-similar melodies. Paris: Editions 75.
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Oulipo (col., Bénabou, M., & Fournel, P. (Eds.)). (2009). Anthologie de l’Oulipo (pp. 798–801), Paris, Gallimard.
Verhulst, P.-F. (1845). Recherches mathématiques sur la loi d’accroissement de la population. Nouveaux Mémoires de l’Académie Royale des Sciences et Belles-Lettres de Bruxelles.
Villenave, V., et al. (2011–2017). Oumupo website. http://oumupo.org/.
Vuza, D. T. (1991–1992). Supplementary sets and regular complementary unending canons. Perspectives of New Music, 29–31.
Zagny, S. (1995–2000). ‘Formula 1’ in Texts on Music (p. 18). http://conceptualism.letov.ru/sergei-zagny/.
Acknowledgements
Our most sincere thanks go to Oumupo member Mike Solomon for translating an early draft of this paper, as well as to Oumupo contributor Gilles Esposito-Farese, who also happens to be a long-time, valuable member of the Oulipo mailing list.
All musical examples were typeset using GNU LilyPond (http://lilypond.org), an integral tool in many of our experiments and daily creative activities.
Like all our collective publications, a version of this article is available under a free license on Oumupo’s web site (https://urldefense.proofpoint.com).
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Andreatta, M., Granger, M., Johnson, T., Villenave, V. (2018). Music, Mathematics and Language: Chronicles from the Oumupo Sandbox. In: Kapoula, Z., Volle, E., Renoult, J., Andreatta, M. (eds) Exploring Transdisciplinarity in Art and Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-76054-4_14
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