Concept invention and music: Creating novel harmonies via conceptual blending

Conceptual blending is a cognitive theory whereby elements from diverse, but structurally-related, mental spaces are “blended” giving rise to new conceptual spaces that often possess new powerful interpretative properties, allowing better understanding of known concepts or the emergence of novel concepts altogether. This paper provides an overview of the wide computational methodological spectrum that is being developed towards building an automatic melodic harmonization system that employs conceptual blending, yielding harmonizations that inherit characteristics from multiple idioms. Examples of conceptual blending in harmony are presented that exhibit the effectiveness of the developed model in inventing novel harmonic concepts. These examples discuss the invention of well-known jazz cadences through blending the underlying concepts of classical music cadences, as well as the construction of larger chord sequences. Furthermore, examples of a conceptual blending interpretation in human compositions that motivated the goals of the system’s design are given. Finally, conceptual blending between harmonic and non-harmonic domains is discussed, offering tools that allow for intuitive human intervention in the harmonization process.

[1]  Simon Colton,et al.  Computational Creativity Theory: The FACE and IDEA Descriptive Models , 2011, ICCC.

[2]  Margaret A. Boden,et al.  Computer Models of Creativity , 2009, AI Mag..

[3]  Paul Sambre,et al.  Gilles Fauconnier & Mark Turner, " The way we think: conceptual blending and the mind's hidden complexities" , 2002 .

[4]  Kai-Uwe Kühnberger,et al.  Heuristic-Driven Theory Projection: An Overview , 2014, Computational Approaches to Analogical Reasoning.

[5]  W. Bas de Haas,et al.  A functional approach to automatic melody harmonisation , 2013, FARM '13.

[6]  Jacques D. Fleuriot,et al.  Reinventing the complex numbers , 2014 .

[7]  J. Goguen Mathematical Models of Cognitive Space and Time , 2006 .

[8]  Maximos A. Kaliakatsos-Papakostas,et al.  Probabilistic harmonization with fixed intermediate chord constraints , 2014, ICMC.

[9]  Till Mossakowski,et al.  Fabricating Monsters is Hard Towards the Automation of Conceptual Blending , 2014 .

[10]  J. Sloboda,et al.  Music and Emotion , 2013 .

[11]  Jürgen Schmidhuber,et al.  Low-Complexity Art , 2017 .

[12]  Dan Morris,et al.  MySong: automatic accompaniment generation for vocal melodies , 2008, CHI.

[13]  Santiago Ontañón,et al.  Amalgams: A Formal Approach for Combining Multiple Case Solutions , 2010, ICCBR.

[14]  Alexander Lerch,et al.  A System for Automatic Audio Harmonization (Ein System für automatische Audio-Harmonisierung) , 2008 .

[15]  G. Fauconnier,et al.  The Way We Think: Conceptual Blending and the Mind''s Hidden Complexities. Basic Books , 2002 .

[16]  Lawrence M. Zbikowski Conceptualizing Music: Cognitive Structure, Theory, and Analysis , 2002 .

[17]  Knowledge Integration with Conceptual Blending Keywords : Cognitive Modeling Conceptual Blending Metaphor , 2001 .

[18]  L. F. Barrett Discrete Emotions or Dimensions? The Role of Valence Focus and Arousal Focus , 1998 .

[19]  P. Gomez,et al.  Relationships between musical structure and psychophysiological measures of emotion. , 2007, Emotion.

[20]  Joseph A. Goguen,et al.  Style: A Computational and Conceptual Blending-Based Approach , 2010, The Structure of Style.

[21]  Mark Turner,et al.  The Origin of Ideas: Blending, Creativity, and the Human Spark , 2014 .

[22]  Martin Rohrmeier,et al.  Towards a generative syntax of tonal harmony , 2011 .

[23]  Gert Smolka,et al.  Feature-Constraint Logics for Unification Grammars , 1989, J. Log. Program..

[24]  Mark Steedman,et al.  A Robust Parser-Interpreter for Jazz Chord Sequences , 2014 .

[25]  E. Vincent,et al.  Melody harmonisation with interpolated probabilistic models , 2012 .

[26]  Lawrence M. Zbikowski Metaphor and Music Theory: Reflections from Cognitive Science , 1998 .

[27]  Kai-Uwe Kühnberger,et al.  COINVENT: Towards a Computational Concept Invention Theory , 2014, ICCC.

[28]  Mark Granroth-Wilding,et al.  Harmonic analysis of music using combinatory categorial grammar , 2013 .

[29]  Santiago Ontañón,et al.  On Knowledge Transfer in Case-Based Inference , 2012, ICCBR.

[30]  Maximos A. Kaliakatsos-Papakostas,et al.  An Idiom-independent Representation of Chords for Computational Music Analysis and Generation , 2014, ICMC.