Abstract
This paper proposes a method to estimate the tonalness of a pitchclass set using transpositional types. For each set under consideration the method uses the corresponding transpositional type to generate note collections from acoustical instrument sounds and subsequently calculates a learned projection of that set into a low-dimensional space. The structure in this representation is then compared to the structure of a low-dimensional tonal key space learned from audio recordings of labeled tonal music. The term tonalness refers to how strongly the input suggests congruence to pitch use distributions in common-practice tonality. The method is tested on pitch-class sets of cardinality 3 and compared with measures from other work.
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References
Rahn, J.: Basic Atonal Theory. Longman, New York (1980)
Temperley, D.: The Tonal Properties of Pitch-Class Sets: Tonal Implication, Tonal Ambiguity, and Tonalness. In: Hewlett, W.B., Selfridge-Field, E. (eds.) Computing in Musicology. Tonal Theory for the Digital Age, vol. 15, pp. 24–38 (2008)
Van Egmond, R., Butler, D.: Diatonic Connotations of Pitch-class Sets. Music Perception 15, 1–29 (1997)
Huron, D.: Interval-class Content in Equally Tempered Pitch-class Sets: Common Scales Exhibit Optimum Tonal Consonance. Music Perception 11, 289–305 (1994)
Brown, H.: The Interplay of Set Content and Temporal Context in a Functional Theory of Tonality Perception. Music Perception 5(3), 219–250 (1988)
İzmirli, Ö.: Audio Key Finding Using Low-Dimensional Spaces. In: Proceedings of the International Conference on Music Information Retrieval, Victoria, Canada (2006)
Gómez, E.: Tonal Description of Music Audio Signals, Ph.D. Dissertation, Pompeu Fabra University, Barcelona (2006)
Bartsch, M.A., Wakefield, G.H.: To Catch a Chorus: Using Chroma-based Representations for Audio. In: Proceedings of the IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, New Paltz, NY (2001)
Fujishima, T.: Realtime Chord Recognition of Musical Sound: A System Using Common Lisp Music. In: Proceedings of the International Computer Music Conference, Beijing, China, pp. 464–467 (1999)
Pauws, S.: Musical Key Extraction from Audio. In: Proceedings of the Fifth International Conference on Music Information Retrieval, Barcelona, Spain (2004)
Harte, C., Sandler, M., Gasser, M.: Detecting Harmonic Change in Musical Audio. In: Proceedings of AMCMM 2006, Santa Barbara, California, USA (2006)
Sheh, A., Ellis, D.P.W.: Chord Segmentation and Recognition using EM-Trained Hidden Markov Models. In: Proceedings of the International Conference on Music Information Retrieval, Baltimore, Maryland, USA (2003)
Hu, N., Dannenberg, R.B., Tzanetakis, G.: Polyphonic Audio Matching and Alignment for Music Retrieval. In: Proceedings of the IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, New Paltz, NY, USA (2003)
İzmirli, Ö.: Cyclic Distance Patterns Among Spectra of Diatonic Sets: The Case of Instrument Sounds with Major and Minor Scales. In: Hewlett, W.B., Selfridge-Field, E. (eds.) Computing in Musicology. Tonal Theory for the Digital Age, vol. 15, pp. 11–23 (2008)
Purwins, H., Graepel, T., Blankertz, B., Obermayer, K.: Correspondence Analysis for Visualizing Interplay of Pitch Class, Key, and Composer. In: Luis-Puebla, E., Mazzola, G., Noll, T. (eds.) Perspectives in Mathematical Music Theory (2003)
Purwins, H., Blankertz, B., Obermayer, K.: Pitch Class Profiles and Inter-Key Relations. In: Hewlett, W.B., Selfridge-Field, E. (eds.) Computing in Musicology. Tonal Theory for the Digital Age, vol. 15, pp. 73–98 (2008)
Burgoyne, J.A., Saul, L.K.: Visualization of Low Dimensional Structure in Tonal Pitch Space. In: Proceedings of the International Computer Music Conference (ICMC 2005), Barcelona, Spain, pp. 243–246 (2005)
Lerdahl, F.: Tonal Pitch Space. Oxford University Press, New York (2001)
Parncutt, R.: Revision of Terhardt’s Psychoacoustical Model of the Root(s) of a Musical Chord. Music Perception 6, 65–94 (1988)
Krumhansl, C.L., Kessler, E.J.: Tracing the Dynamic Changes in Perceived Tonal Organization in a Spatial Representation of Musical Keys. Psychological Review 89, 334–368 (1982)
Temperley, D.: The Cognition of Basic Musical Structures. MIT Press, Cambridge (2001)
Aarden, B.J.: Dynamic Melodic Expectancy. Ph.D. Thesis, Ohio State University, Music (2003)
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İzmirli, Ö. (2009). Estimating the Tonalness of Transpositional Type Pitch-Class Sets Using Learned Tonal Key Spaces. In: Chew, E., Childs, A., Chuan, CH. (eds) Mathematics and Computation in Music. MCM 2009. Communications in Computer and Information Science, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02394-1_14
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DOI: https://doi.org/10.1007/978-3-642-02394-1_14
Publisher Name: Springer, Berlin, Heidelberg
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