Abstract
Elements of a Vocal Gesture Theory, previously developed as an abstract approximation, have served as the basis for the present work in which the theoretical aspect of this development is refined to accommodate concrete realities that the singer confronts. In particular, the connection between musical thinking (symbolic gestures) and performance (concrete gestures) can be described by a mathematical approach. On the one hand, singers have to imagine the vocal effect they wish to obtain, and, on the other hand, they must carry out concrete physical inner movements of their larynx, vocal folds, etc., to achieve the desired effect. Mathematical Gesture Theory can provide a framework to help understand how such imaginary and embodied movements relate one to another, as well as how they are connected in the practice of singing. Additionally, voice pedagogy, in general, is tremendously subjective and, as in all creative processes, what works for one singer does not necessarily function for another. We hope to offer a very broad and flexible framework in which the essence of the relation between symbolic and physical gestures is captured and allows for multiple concrete models. We also offer some very basic experimental evidence as proof of concept of this emerging Vocal Gesture Theory, considering an application to Italian belcanto, with the analysis of the head voice and the chest voice in a Verdi’s aria.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Arias-Valero, J.S., Lluis-Puebla, E.: Explicit presentations of topological categories of gestures. J. Math. Music 17(2), 213–243 (2023)
Cumming, K.: Wiring the Singer. Classical Singer and the Microphone. Doctoral dissertation. University of Newcastle (2019)
Hahn, R.: On Singers and Singing. Lectures and an Essay. Translated by Leopold Simoneau. O.C. Editions Gallimard (1957). Translation by Amadeus Press (1990)
Hoss, C.K.: Classical and Musical Theater Vocal Pedagogy for Female Collegiate Singers: An Observation and Study. Liberty University School of Music (2023)
Mitchell, H.F., Kenny, D.T.: The impact of ‘open throat’ technique on vibrato rate, extent and onset in classical singing. Logoped. Phoniatr. Vocol. 29(4), 171–182 (2004)
Lauri-Volpi, G.: Parallel Voices. Translated and annotated by Daniele D. Godor. Bongiovanni Editore, Bologna, Italy (2022)
Lehman, L.: How to Sing. Macmillan, New York (1902)
Mannone, M.: Knots, Music, and DNA. J. Creat. Music Syst. 2(2) (2018)
Mazzola, G., et al.: Elements of a future vocal gesture theory. In: The Topos of Music III: Gestures. CMS, pp. 1313–1331. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-64481-3_31
Mannone, M., Rocchesso, D.: Quanta in sound, the sound of quanta: a voice-informed quantum theoretical perspective on sound. In: Miranda, E.R. (ed.) Quantum Computing in the Arts and Humanities. Springer, Cham (2022). https://doi.org/10.1007/978-3-030-95538-0_6
Mannone, M., Mazzola, G.: Hypergestures in complex time: creative performance between symbolic and physical reality. In: Collins, T., Meredith, D., Volk, A. (eds.) MCM 2015. LNCS (LNAI), vol. 9110, pp. 137–148. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-20603-5_14
Mazzola, G., Andreatta, M.: Diagrams, gestures and formulae in music. J. Math. Music 1(1), 23–46 (2007)
Netter, M.D., Frank, H.: Atlas of Human Anatomy. Novartis, Basel (1997)
Schutte, H.K., Stark, J.A., Miller, D.G.: Change in singing voice production, objectively measured. J. Voice 17(4), 495–501 (2003)
Reid, C.: Bel Canto. Principles and Practices. Joseph Patelson Music House, New York (1971)
Tommasini, A.: Wearing a Wire at the Opera, Secretly, Of Course. The New York Times, 28 June 2013
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Spector, J., Mannone, M., Montiel, M., Gómez, F. (2024). Voice and Math: The Art of Singing in Light of Mathematical Music Theory. In: Noll, T., Montiel, M., Gómez, F., Hamido, O.C., Besada, J.L., Martins, J.O. (eds) Mathematics and Computation in Music. MCM 2024. Lecture Notes in Computer Science, vol 14639. Springer, Cham. https://doi.org/10.1007/978-3-031-60638-0_9
Download citation
DOI: https://doi.org/10.1007/978-3-031-60638-0_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-60637-3
Online ISBN: 978-3-031-60638-0
eBook Packages: Computer ScienceComputer Science (R0)