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A combined model of sensory and cognitive representations underlying tonal expectations in music: from audio signals to behavior.
Listeners' expectations for melodies and harmonies in tonal music are perhaps the most
studied aspect of music cognition. Long debated has been whether faster response times …
studied aspect of music cognition. Long debated has been whether faster response times …
Live algorithms: Towards autonomous computer improvisers
T Blackwell, O Bown, M Young - Computers and creativity, 2012 - Springer
A Live Algorithm is an autonomous machine that interacts with musicians in an improvised
setting. This chapter outlines perspectives on Live Algorithm research, offering a high level …
setting. This chapter outlines perspectives on Live Algorithm research, offering a high level …
Testing a spectral model of tonal affinity with microtonal melodies and inharmonic spectra
Tonal affinity is the perceived goodness of fit of successive tones. It is important because a
preference for certain intervals over others would likely influence preferences for, and …
preference for certain intervals over others would likely influence preferences for, and …
Musical pitch quantization as an eigenvalue problem
P Beim Graben, M Mannone - Journal of Mathematics and Music, 2020 - Taylor & Francis
How can discrete pitches and chords emerge from the continuum of sound? Using a
quantum cognition model of tonal music, we prove that the associated Schrödinger equation …
quantum cognition model of tonal music, we prove that the associated Schrödinger equation …
Gauge models of musical forces
R Blutner, P Beim Graben - Journal of Mathematics and Music, 2021 - Taylor & Francis
Metaphors involving motion and forces are a source of inspiration for understanding tonal
music and tonal harmonies since ancient times. Starting with the rise of quantum cognition …
music and tonal harmonies since ancient times. Starting with the rise of quantum cognition …
Quantum approaches to music cognition
P Beim Graben, R Blutner - Journal of Mathematical Psychology, 2019 - Elsevier
Quantum cognition emerged as an important discipline of mathematical psychology during
the last two decades. Using abstract analogies between mental phenomena and the formal …
the last two decades. Using abstract analogies between mental phenomena and the formal …
Gauge symmetries of musical and visual forces
P beim Graben - Journal of Mathematics and the Arts, 2023 - Taylor & Francis
After reviewing the physicalistic or metaphorical accounts to musical and visual forces by
Arnheim and Larson, respectively, which were inspired by the basic tenets of gestalt …
Arnheim and Larson, respectively, which were inspired by the basic tenets of gestalt …
The Extended Composer: Creative reflection and extension with generative tools
This chapter focuses on interactive tools for musical composition which, through
computational means, have some degree of autonomy in the creative process. This can …
computational means, have some degree of autonomy in the creative process. This can …
Modelling tonal attraction: tonal hierarchies, interval cycles, and quantum probabilities
R Blutner - Soft Computing, 2017 - Springer
How well does a given pitch fit into a tonal scale or tonal key, let it be a major or minor key?
A similar question can be asked regarding chords and tonal regions. Structural and …
A similar question can be asked regarding chords and tonal regions. Structural and …
Using interval cycles to model Krumhansl's tonal hierarchies
The analyses presented in this paper use interval-cycle profiles to show that there is a
statistical link between interval cycles and Krumhansl and Kessler's (1982) major-and minor …
statistical link between interval cycles and Krumhansl and Kessler's (1982) major-and minor …