?
Chordal Embeddings Based on Topology of the Tonal Space
Ch. 2. P. 20–33.
In the classical western musical tradition, the mutual simultaneous appearance of two tones in a melody is determined by harmony, i.e. the ratio of their frequencies. To perform NLP-based methods for MIDI file analysis, one needs to construct vector embeddings of chords, taking mutual harmonicity into account. Previous works utilising this idea were based on the notion of Euler’s Tonnetz. Being a beautiful topological model describing consonance relations in music, the classical Tonnetz has a certain disadvantage in that it forgets particular octaves. In this paper, we introduce the mathematical generalisation of Tonnetz taking octaves into account. Based on this model, we introduce several types of metrics on chords and use them to construct chordal embeddings. These embeddings are tested on two types of tasks: the chord estimation task, based on the Harmony Transformer model, and the music generation task, provided on the basis of TonicNet.
Radygina A., Kulikova S., Herald of the Russian Academy of Sciences 2025 Vol. 95 No. 6 P. 963–970
Musical training has a significant impact on brain organization, leading to functional and structural
adaptations that enhance auditory, visual, motor, and cognitive processes. This study investigates how
extensive musical training shapes functional brain connectivity by comparing professional musicians and
non-musicians. Using EEG phase-locking value (PLV) analysis, we examined neural synchronization across
alpha, beta, and gamma frequency ranges during music ...
Added: August 5, 2026
Pilé I., Deng Y., Shchur L., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 No. 1 Article 014101
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Swendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for models in different universality classes: Ising model, Potts model with three components, and four-state Potts model. The overlap of two ...
Added: July 6, 2026
Kazantseva A. V., A.V. Toropova, Khusnutdinova E. K. et al., ВАВИЛОВСКИЙ ЖУРНАЛ ГЕНЕТИКИ И СЕЛЕКЦИИ, Федеральный исследовательский центр Институт цитологии и генетики Сибирского отделения Российской академии наук» (ИЦиГ СО РАН) (Новосибирск) 2025 Vol. 30 No. 3 P. 470–481
The development of musical abilities, including absolute pitch, musical memory, rhythm sense, and musicality, at a high degree is determined by a hereditary component (up to 68 %). The studies implementing a genome-wide linkage and association approach to musical aptitude have revealed more than 100 genetic loci. This spectrum is comprised of the genes encoding ...
Added: May 29, 2026
Oxford: Oxford University Press, 2025.
Realism is an artistic practice that aims to faithfully represent reality. Historically, it has been practiced across different media, from early pictorial art and epic oral narratives, through literature and visual arts, to film, music, and digital media. However, an understanding of what it means to “faithfully represent reality” is not universal; rather, it varies ...
Added: September 14, 2025
Monakhova E., Monakhov O., Edward R. Rzaev et al., IEEE Access 2025 Vol. 13 P. 104716–104727
Based on the analysis of a large dataset for optimal undirected double-loop networks, we studied the problem of finding families of optimal double-loop graphs with the minimal possible diameter. Optimal double-loop networks are of practical interest as graph models for reliable, low-delay communication in computer systems and networks-on-chip, due to their advantageous networking properties. A ...
Added: June 30, 2025
М.: Математический институт им. В. А. Стеклова РАН, 2024.
This volume is dedicated to the 80th birthday of Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences. The volume includes articles on topology, geometry, combinatorics, and mathematical physics, the areas in which V. M. Buchstaber is a recognized world leader and the head of an active scientific school. Most of the articles are written ...
Added: January 15, 2025
Проворова А. А., Kulikova S., / Cold Spring Harbor Laboratory. Серия 005140 "Biorxiv". 2024.
Musical training profoundly impacts brain organization, fostering functional and structural adaptations that enhance auditory, motor, and cognitive processes. This study investigates functional connectivity differences between professional musicians and non-musicians during tasks involving music perception and different graphic notations. Using EEG phase-locking value (PLV) analysis, we examined synchronization across alpha, beta, and gamma frequency bands. Results ...
Added: December 19, 2024
De Gruyter, 2023.
This thirteenth volume of the International Yearbook of Futurism Studies explores some of the many facets of Neo-Futurism from the second half of the twentieth century to the present day. It looks both at the revival and the continuation of Futurist aesthetics, whether in explicit or palimpsest form, in a variety of media: literature, visual ...
Added: November 28, 2023
Budnik R., Journal of Digital Technologies and Law 2023 Т. 1 № 3 С. 587–611
Objective: tokenization of creativity, alongside with cryptoeconomy and Web3 network infrastructure, is a notable trend in the development of modern society in the third decade of the 21st century. The objective of this article is to explore the risks and prospects emerging in the process of disposition of the creative labor results in the form ...
Added: August 22, 2023
Cham: Springer, 2023.
This book constitutes the refereed proceedings of the 12th European Conference on Artificial Intelligence in Music, Sound, Art and Design, EvoMUSART 2023, held as part of Evo* 2023, in April 2023, co-located with the Evo* 2023 events, EvoCOP, EvoApplications, and EuroGP.
The 20 full papers and 7 short papers presented in this book were carefully reviewed ...
Added: April 4, 2023
Terekhov D. А., Fomin I. V., В кн.: МУЗЫКА — ФИЛОСОФИЯ — КУЛЬТУРА. IX Международная междисциплинарная научная конференция: К 90-летию С. А. Губайдулиной. 15–17 ноября 2021 года : Тезисы докладов.: М.: Научно-издательский центр "Московская Консерватория", 2022. С. 153–157.
Данное исследование посвящено функциям музыки в интерактивных художественных произведениях, в первую очередь тем функциям, которые не были заимствованы из кинематографа. В частности, рассмотрена музыка, которая предопределяет поведение игрока. Для анализа была составлена эмпирическая база из ряда видеоигр, где музыка либо оказывает значимое влияние на игровой процесс, либо является непосредственной его составляющей. На основе проанализированных работ можно ...
Added: February 22, 2023
Anatoly Lerner, Romanov A., , in: 2022 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM).: Sochi: IEEE, 2022. P. 728–733.
Added: July 23, 2022
Anastasiya Paltarzhitskaya, Kleeva D., Osadchaya M. et al., , in: 2021 Third International Conference Neurotechnologies and Neurointerfaces (CNN).: IEEE, 2021. P. 76–78.
Added: December 6, 2021
Khmyleva T., Sukhacheva E., Topology and its Applications 2020 No. 281 Article 107209
For a subset A of the real line R, the Hattori space H(A) is a topological space whose underlying point set is the real R and whose topology is defined as follows: points from A possess the usual Euclidean neighbourhoods while remaining points are given the neighbourhoods of the Sorgenfrey line. We consider the linear homeomorphisms between the spaces Cp(H(A)), Cp(H(B)) and Cp(S), where H(A) and H(B) are Hattori spaces and S is Sorgenfrey ...
Added: September 22, 2021
Khmyleva T., Sukhacheva E., Topology and its Applications 2020 No. 275 Article 107024
For a subset A of the real line R, modification of the Sorgenfrey line SA is a topological space whose underlying points set is the reals Rand whose topology id defined as follows: points from Aare given the neighbourhoods of the right arrow while remaining points are given the neighbourhoods of the Sorgenfrey line S ...
Added: September 22, 2021
Bouziad A., Sukhacheva E., Topology and its Applications 2019 No. 254 P. 132–144
Let X be a uniform space and U(X) the linear space of real-valued
uniformly continuous functions on X. Our main objective is to give a number of
properties characterizing the fact that U(X) is stable under pointwise product
in case X is a metric space. Some of these characterizations hold in much more
general circumstances. ...
Added: September 22, 2021
Khmyleva T., Sukhacheva E., Mathematical notes 2018 Vol. 103 No. 1-2 P. 259–270
A topological space SP , which is a modification of the Sorgenfrey line S, is considered.
It is defined as follows: if x ∈ P ⊂ S, then a base of neighborhoods of x is the family
{[x, x + "), " > 0} of half-open intervals, and if x ∈ S \ P, then a base ...
Added: September 22, 2021
Хмылева Т. Е., Сухачева Е.С., Вестник Томского государственного университета. Математика и механика 2017 № 46 С. 36–40
In this paper, we consider a topological space SA that is a modification of the Sorgenfrey line
S and is defined as follows: if a point x∈ A ⊂ R , then the base of neighborhoods of the point
is {[x, x + ε),∀ε > 0} ; if a point x∈R \ A , then the base ...
Added: September 22, 2021
Bouziad A., Sukhacheva E., Commentationes Mathematicae Universitatis Carolinae 2017 Vol. 58 No. 2 P. 213–223
For a subset A of the real line R, Hattori space H(A) is a topological
space whose underlying point set is the reals R and whose topology is defined
as follows: points from A are given the usual Euclidean neighborhoods while
remaining points are given the neighborhoods of the Sorgenfrey line. In this
paper, among other things, we give ...
Added: September 22, 2021
Хмылева Т. Е., Сухачева Е.С., Вестник Томского государственного университета. Математика и механика 2014 № 5 (31) С. 63–68
Sukhacheva E.S., Khmyleva T.E. ON SOME LINEARLY ORDERED TOPOLOGICAL SPACES
HOMEOMORPHIC TO THE SORGENFREY LINE
In this paper, we consider a topological space SA which is a modification of the Sorgenfrey
line S and is defined as follows: if a point x∈ A ⊂ S , then the base of neighborhoods of the point
x is a family of ...
Added: September 22, 2021