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 …

Affordances of music composing software for learning mathematics at primary schools

S Laato, T Laine, E Sutinen - Research in Learning Technology, 2019 - journal.alt.ac.uk
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 …

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 …

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 …

Hypercube+ Rubik's Cube+ Music= HyperCubeHarmonic

M Mannone, T Yoshino, P Chiu, Y Kitamura - International Conference on …, 2022 - Springer
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 [,] …

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 …

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 …

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 …

Music-driven geometric and topologic intuition: a case study with the Klein bottle

M Mannone, M Montiel, MR Wilhelmi - Journal of Mathematics and …, 2024 - Taylor & Francis
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 …