Maths & Music: a series of articles combining science and art
1, 2, 3, 4: how do you find the right tempo? Why is the sound better in a concert hall than in our living room? Why do different musical styles have different beats per minute (bpm)? How are musical rhythms, frequencies and harmonies mathematical quantities?
These are the many and varied questions that come to mind when we think of music... and mathematics. These questions are classic and have been the subject of numerous works and theories. On the other hand, the current connections between these two fields are not always obvious: Apart from the (perhaps preconceived) idea that mathematicians are generally gifted in music.
As we look into the matter, further questions emerge: Can mathematics stimulate creativity in music? What algorithms are used in music creation software? How is mathematics used to model an instrument? How can artificial intelligence be used to generate music? Why study music through the prism of mathematics, and vice versa?
In order to explore this universe and try to answer some of the underlying questions, the Insmi is launching an editorial project on the links between mathematics and music. On a regular basis, a specialist in the field will contribute an article on "mathémusical" dynamics, hearing the shape of a drum, Euclidean rhythms, etc.
Elise Janvresse, Deputy Scientific Director in charge of teaching and scientific dissemination and mediation, and Christophe Besse, Director of CNRS Mathematics (Insmi).
Articles from the project
- Maths in music, the music of maths: reflections on 'mathémusical dynamics', by Moreno Andreatta, CNRS Research Director at IRMA1 – published on 21.06.2024
- Mathematics of keyboard tuning, by Dominique Manchon, CNRS Research Director at LMBP2 – published on 27.06.2024
- Music, word combinatorics and computer improvisation, by Marc Chemillier, EHESS Director of Studies at CAMS3 – published on 04.07.2024
- Maths & Music, the same second skin, by Thomas Menuet, composer in residence at IRMAR4 - published on 02.07.2024
- Musical temperament revisited, by Laurent Mazliak, CNRS Research at LPSM5 - published on 17.10.2024