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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 …
Affordances of music composing software for learning mathematics at primary schools
Music composing is associated with various positive learning outcomes, but in several
countries, such as Finland, it is not part of the primary school music curriculum. There are …
countries, such as Finland, it is not part of the primary school music curriculum. There are …
Rhythmic recursion? Human sensitivity to a Lindenmayer grammar with self-similar structure in a musical task
A Geambaşu, L Toron, A Ravignani… - Music & …, 2020 - journals.sagepub.com
Processing of recursion has been proposed as the foundation of human linguistic ability. Yet
this ability may be shared with other domains, such as the musical or rhythmic domain …
this ability may be shared with other domains, such as the musical or rhythmic domain …
Have Fun with Math and Music!
M Mannone - Mathematics and Computation in Music: 7th …, 2019 - Springer
If abstraction makes mathematics strong, it often makes it also hard to learn, if not
discouraging. If math pedagogy suffers from the lack of engaging strategies, the pedagogy of …
discouraging. If math pedagogy suffers from the lack of engaging strategies, the pedagogy of …
Hypercube+ Rubik's Cube+ Music= HyperCubeHarmonic
Musical chords and chord relations can be described through mathematics. Abstract
permutations can be visualized through the Rubik's cube, born as a pedagogical device [,] …
permutations can be visualized through the Rubik's cube, born as a pedagogical device [,] …
CubeHarmonic: a new interface from a magnetic 3D motion tracking system to music performance
MC Mannone, E Kitamura, J Huang… - Proceedings of the …, 2018 - iris.unive.it
We developed a new musical interface, CubeHarmonic, with the magnetic 3D motion
tracking system IM3D. This system precisely tracks positions of tiny, wireless, battery-less …
tracking system IM3D. This system precisely tracks positions of tiny, wireless, battery-less …
Exhaustive chord progressions and their use in music composition
H Bedouelle - Journal of Mathematics and Music, 2024 - Taylor & Francis
A general approach for the design of mild chord progressions from the n-chords (unordered
pitch-class sets of cardinal n) of ap-tonic scale was developed. Four relations between n …
pitch-class sets of cardinal n) of ap-tonic scale was developed. Four relations between n …
CubeHarmonic: a new musical instrument based on Rubik's cube with embedded motion sensor
M Mannone, E Kitamura, J Huang… - ACM SIGGRAPH 2019 …, 2019 - dl.acm.org
A contemporary challenge involves scientific education and the connection between new
technologies and the heritage of the past. CubeHarmonic (CH) joins novelty and tradition …
technologies and the heritage of the past. CubeHarmonic (CH) joins novelty and tradition …
Music-driven geometric and topologic intuition: a case study with the Klein bottle
The comprehension of mathematical notions can profit from the personal background of a
population of students, drawing upon their former knowledge in another field. In particular …
population of students, drawing upon their former knowledge in another field. In particular …