A combined model of sensory and cognitive representations underlying tonal expectations in music: from audio signals to behavior.

T Collins, B Tillmann, FS Barrett, C Delbé… - Psychological …, 2014 - psycnet.apa.org
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 …

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 …

Testing a spectral model of tonal affinity with microtonal melodies and inharmonic spectra

AJ Milne, R Laney, DB Sharp - Musicae Scientiae, 2016 - journals.sagepub.com
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 …

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 …

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 …

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 …

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 …

The Extended Composer: Creative reflection and extension with generative tools

D Jones, AR Brown, M d'Inverno - Computers and creativity, 2012 - Springer
This chapter focuses on interactive tools for musical composition which, through
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 …

Using interval cycles to model Krumhansl's tonal hierarchies

M Woolhouse, I Cross - Music Theory Spectrum, 2010 - academic.oup.com
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 …