Method Of Musical Composition Research Articles

The “open” notation as a tool for creating a composer’s text (self‑commentary)

Statement of the problem. Musical notation is an open, symbolic system of composer’s thinking. At the dry stage of its development, it becomes individualized in the creativity of a number of composers, which is thought out the development of new forms of overcoming the material through advanced piano techniques and atypical logic. The article introduces the concept of “open” musical notation as a method of musical composition. On the example of compositional analysis of his “Engravings” for piano (2021), the author sets out its principles. Analysis of recent research and publications. A number of works are devoted to the theme of notation, which can be divided into: 1) on history and typology of traditional notation (Rastall, 1983; Strayer, 2013; Ship, 2016; Kachmar, 2019); 2) non-traditional notation (Stone, 1980; Dubinets, 1999; Muzhchil, 2016). There are researches that reveal the idea of “open” work by U. Eco (1979), which corresponds to the theme of the article, among which – “From a Work to an ‘Open’ Work: Research Experience” (Zavialova & Kalashnyk & Savchenko & Stakhevuch & Smirnova,2020). Main objective(s) of the study is to identify the foundations of the composer’s thinking on the example of the cycle “Engravings” for piano and an attempt to propose a method of “open” notation, as a different way of creation. The scientific novelty is that it offers a method of musical composition, which was obtained by the author through many years of working, namely – the method of “open” musical notation. Methodology focuses on such methods of contemporary cognitivism as: genealogical – identifying the causal links between the creation of the method of “open” notation; contextual and comparative – the study of forms of existence of non-identical types of composer’s thinking; compositional and semantics – the disclosure of the principles of the structure of works in the context of the poetics of creativity. Results and conclusions. The article attempts to theoretically substantiate the method of “open” musical notation, which was used to create the author’s last opuses –“Engravings” for piano (2021) and “The Three Dead Kings” for viola solo (2022). Each type of notation used in the circles is a universe with a unique hierarchical structure, the elements of which are subject to the laws created by the author. Compositional and semantics analysis of “Engravings” reveals the positions of the method. It is manifested in the use of atypical clefs/staffs, the logic and existence of which correspond to the general idea and concepts of each part separately.

Randomness as source for inspiring solution search methods: Music based approaches

As the world progresses towards industrialization, engineering problems become increasingly complex and it becomes even more difficult to optimize these problems. The reason for this is the increasing complexity of variables, dimensions, space complexity, and time complexity. In order to be able to cope with such a situation, randomized intelligent optimization and search algorithms are proposed to optimize numerical benchmarking problems, multi-objective problems, and solve difficult problems including a large number of variables, dimensions, constraints, and objectives. Metaheuristic random search and optimization methods are widely used to search and find the most appropriate solutions for large-scale optimization problems in an acceptable time. They are general-purposed methods that can be efficiently applied to optimization and search problems without too much modification to accommodate a specific probing. Metaheuristic optimization algorithms are generally categorized as physics, music, sociology, biology, swarm, mathematics, plant, chemistry, sports, water, and hybrid based. Although most of the intelligent metaheuristic methods are inspired by physics and biology; concepts, activities, rules, and processes in music can be an inspiration source of new intelligent optimization and search techniques. That is why; novel and efficient music inspired intelligent optimization and search methods having effective exploitation and exploration capabilities have been proposed.In this paper, music based metaheuristic optimization algorithms were gathered and analyzed for the first time. Harmony search and its versions, melody search algorithm, and method of musical composition have been examined in detail. Furthermore, their performances have been compared within both unconstrained numerical benchmark functions and constrained problems and the obtained results from music based algorithms have been comparatively studied.

A comparative study of population-based algorithms for a political districting problem

PurposeThis paper aims to propose comparing the performance of three algorithms based on different population-based heuristics, particle swarm optimization (PSO), artificial bee colony (ABC) and method of musical composition (DMMC), for the districting problem.Design/methodology/approachIn order to compare the performance of the proposed algorithms, they were tested on eight instances drawn from the Mexican electoral institute database, and their respective performance levels were compared. In addition, a simulated annealing-based (simulated annealing – SA) algorithm was used as reference to evaluate the proposed algorithms. This technique was included in this work because it has been used for Federal districting in Mexico since 1994. The performance of the algorithms was evaluated in terms of the quality of the approximated Pareto front and efficiency. Regarding solution quality, convergence and dispersion of the resulting non-dominated solutions were evaluated.FindingsThe results show that the quality and diversification of non-dominated solutions generated by population-based algorithms are better than those produced by Federal Electoral Institute’s (IFE’s) SA-based technique. More accurately, among population-based techniques, discrete adaptation of ABC and MMC outperform PSO.Originality/valueThe performance of three population-based techniques was evaluated for the districting problem. In this paper, the authors used the objective function proposed by the Mexican IFE, a weight aggregation function that seeks for a districting plan that represents the best balance between population equality and compactness. However, the weighting factors can be modified by political agreements; thus, the authors decided to produce a set of efficient solutions, using different weighting factors for the computational experiments. This way, the best algorithm will produce high quality solutions no matter the weighting factors used for a real districting process. The computational experiments proved that the proposed artificial bee colony and method of musical composition-based algorithms produce better quality efficient solutions than its counterparts. These results show that population-based algorithms can outperform traditional local search strategies. Besides, as far as we know, this is the first time that the method of musical composition is used for this kind of problems.

Development of seven hybrid methods based on collective intelligence for solving nonlinear constrained optimization problems

Many real-world problems can be seen as constrained nonlinear optimization problems (CNOP). These problems are relevant because they frequently appear in many industry and science fields, promoting, in the last decades, the design and development of many algorithms for solving CNOP. In this paper, seven hybrids techniques, based on particle swarm optimization, the method of musical composition and differential evolution, as well as a new fitness function formulation used to guide the search, are presented. In order to prove the performance of these techniques, twenty-four benchmark CNOP were used. The experimental results showed that the proposed hybrid techniques are competitive, since their behavior is similar to that observed for several methods reported in the specialized literature. More remarkably, new best known are identified for some test instances.

Influence of social network on method musical composition

The method of musical composition (MMC) is a metaheuristic based on sociocultural creativity systems. Within the MMC, models of social influence and social learning are used and integrated in a social network, which is composed of a set of individuals with links between them and involves a set of interaction rules. In this paper, a comparative study on the performance of the MMC with different network structures is proposed. Sixteen benchmark nonlinear optimization problems are solved, taking into account nine social topologies, which are: (a) linear, (b) tree, (c) star, (d) ring, (e) platoons, (f) von Neumann, (g) full connection, (h) random and (i) small world. In addition, the update of each topology structure was tested according to four different strategies: one static, two dynamic and one self-adaptive states. An exhaustive statistical analysis of the obtained numerical results indicates that the social dynamics has no significant impact on the MMC's behavior. However, the topology structures can be classified into groups that consistently influence the performance level of the MMC. More precisely, a structure characterized by a low value of its mean number of neighbors and a rather fast information transfer process (star topology) performs in a radically opposite way as structures where each agent has many neighbors (random and complete topologies). These observations allow to provide some guidelines for the selection of a network topology used within a social algorithm.

Adaptation of the method of musical composition for solving the multiple sequence alignment problem

The multiple sequence alignment (MSA) problem has become relevant to several areas in bioinformatics from finding sequences family, detecting structural homologies of protein/DNA sequences, determining functions of protein/DNA sequences to predict patients diseases by comparing DNAs of patients in disease discovery, etc. The MSA is a NP-hard problem. In this paper, two new methods based on a cultural algorithm, namely the method of musical composition, for the solution of the MSA problem are introduced. The performance of the first and second versions were evaluated and analyzed on 26 and 12 different benchmark alignments, respectively. Test instances were taken from BAliBASE 3.0. Alignment accuracies are computed using the QSCORE program, which is a quality scoring program that compares two multiple sequence alignments. Numerical results on the tackled instances indicate that the performance levels of the proposed versions of the MMC are promising. In particular, the experimental results show that the second version found the best alignment reported in the specialized literature in 25 $$\%$$% of the tested instances. Besides, for 50 $$\%$$% of the tested instances, the second version achieved the second best alignment. Finally, the significance of the numerical results were analyzed according to the Wilcoxon rank-sum test, which indicated that the second proposed version is statistically similar to some state-of-the-art techniques for the MSA problem.

Method of Musical Composition and Static Topologies for Resource Constrained Project Scheduling: a Case Study

Resource constrained project scheduling problems have a computational complexity that makes it difficult to obtain optimal so- lutions using exact methods. Thus, heuristic techniques have been used to generate feasible solutions in acceptable computational times. In this paper, we analyse static population topologies for an algorithm based on the Method of Musical Composition (MMC) to solve the problem of course scheduling in a university in a minimum number of quarters. We show that the social network topology used within the MMC operating mode has a significant influence on the performance of the algorithm.

2-9 色彩情報に基づく自動作曲システムMUSCAT の作曲手法について(第2部門 メディア工学(ヒューマンインタフェース))

2-9 色彩情報に基づく自動作曲システムMUSCAT の作曲手法について(第2部門 メディア工学(ヒューマンインタフェース))

An optimization algorithm inspired by musical composition

In this paper we propose a new multiagent metaheuristic based in an artificial society that uses a dynamic creative system to compose music, called "Method of musical composition" or MMC. To show t...