Abstract
A recent development of music theory focuses basically on neo-riemannian angle of harmonic analysis with the use of Tonnetz as a space for harmonic change representation. However the Tonnetz does not cover the functional relations between accords within tonality and is feebly suitable to capture the features of neo-tonal postmodern music based on a new use of tonal functionality. This work presents an alternative method for music harmony progressions representation and analysis which uses two levels of representation. The first level is represented as a system of horizontal and vertical triads of graphs where each graph is an exo-frame filled out by information of specified degree of the scale. The graph pattern in this system represents the specified segment of harmonic progression taken from harmonic analysis of the musical composition. The pattern is then schematized for the second level of representation which examines its structural resemblance to the other schemas received similarly from the segments of harmonic progression. In order to facilitate the understanding of a new methodology and encourage its use in tonal harmony analysis an Android application for tablets called Schemographe has been created. The application presents the possibilities of the system on the two described levels of representation on example of three vocal pieces by neo-tonal postmodern composer Valentin Silvestrov.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
Certain structural resemblance may be seen in the \(A_3\) structure, presenting invention of the \(Intro\) structure. However, the subdominant environment instead of tonic decides for \(A_3\) structure to be in the \(A\) group of structures.
- 2.
On the second level of representation the degree still appear even if it is presented only by its dominant. In such a way the problem of elliptic chains representation is solved.
References
Lewin, D.: Generalized Musical Intervals and Transformations. Yale University Press, New Haven (1987)
Tymoczko, D.: A Geometry of Music. Oxford Univeristy Press, New York (2011)
Lewin, D.: Klumpenhouwer networks and some isographies that involve them. Music Theory Spectr. 12(1), 83–120 (1990). (Spring)
Bigo, L., Andreatta, M., Giavitto, J.-L., Michel, O., Spicher, A.: Computation and visualization of musical structures in chord-based simplicial complexes. In: Yust, J., Wild, J., Burgoyne, J.A. (eds.) MCM 2013. LNCS, vol. 7937, pp. 38–51. Springer, Heidelberg (2013)
Baroin, G.: Applications de la thorie des graphes des objets musicaux. Modlisations, visualisations en hyperspace. Ph.D. thesis, Université de Toulouse (2011)
Meeùs, N.: Vecteurs harmoniques. Musurgia X(3–4), 7–34 (2003)
Shvets, A.: Application of 3D in visualization of knowledge in music harmony. Digital Turn in Humanities: Internet-New Media-Culture 2.0. (in Polish) E-naukowiec: Lublin, 2013, pp. 127–137 (2013)
Pistone, P., Shvets, A.: Investigation of the activity based teaching method in e-learning musical harmony course. In: Cappellini, V. (ed.) Proceeding of EVA Florence 2014, 7–8 May 2014, pp. 107–112. Firenze University Press, Florence (2014)
Shvets, A.: Certains aspects des tendances modernes du dveloppement de l’art (2011). Musicologie.org
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Shvets, A., Desainte-Catherine, M. (2015). Schemographe: Application for a New Representation Technique and Methodology of Analysis in Tonal Harmony. In: Johnson, C., Carballal, A., Correia, J. (eds) Evolutionary and Biologically Inspired Music, Sound, Art and Design. EvoMUSART 2015. Lecture Notes in Computer Science(), vol 9027. Springer, Cham. https://doi.org/10.1007/978-3-319-16498-4_19
Download citation
DOI: https://doi.org/10.1007/978-3-319-16498-4_19
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-16497-7
Online ISBN: 978-3-319-16498-4
eBook Packages: Computer ScienceComputer Science (R0)