@Article{          sousa2021-measuring,
    author       = {de Sousa, Daniel Moreira},
    year         = {2021},
    title        = {Measuring the Amount of Freedom for Compositional Choices
                   in a Textural Perspective Daniel Moreira de Sousa},
    abstract     = {In this paper I discuss the relation between the number
                   of available compositional choices and the complexity in
                   dealing with them in the scope of musical texture. First,
                   I discuss the paradigm of compositional choice in light of
                   the number of variables for a given situation. Then, I
                   introduce the concept of compositional entropy-–a
                   proposal for measuring the amount of freedom that is
                   implied in each compositional choice when selecting a
                   given musical object. This computation depends on the
                   number of available variables provided by the chosen
                   musical object so that the higher the compositional
                   entropy, the more complex is the choosing process as it
                   provides a high number of possibilities to be chosen. This
                   formulation enables the discussion of compositional
                   choices in a view of probability and combinatorial
                   permutations. In the second part of the article, I apply
                   this concept in the textural domain. To do so, I introduce
                   a series of concepts and formulations regarding musical
                   texture to enable such a discussion. Finally, I
                   demonstrate how to measure the compositional entropy of
                   textures, considering both the number of possible textural
                   configurations a composer may manage for a given number of
                   sound- ing components (exhaustive taxonomy of textures)
                   and how many different ways a given configuration can be
                   realized as music in the score, considering only textural
                   terms (exhaustive taxonomy of realizations).},
    doi          = {10.46926/musmat.2021v5n1.126-156},
    journal      = {MusMat: Brazilian Journal of Music and Mathematics},
    keywords     = {Compositional entropy. Musical texture. Textural l,music
                   texture},
    mendeley-tags= {music texture},
    number       = {1},
    pages        = {126--156},
    volume       = {V}
}

{"_id":"FrpbHMAYKq8EEf9CZ","bibbaseid":"desousa-measuringtheamountoffreedomforcompositionalchoicesinatexturalperspectivedanielmoreiradesousa-2021","author_short":["de Sousa, D. M."],"bibdata":{"bibtype":"article","type":"article","author":[{"propositions":["de"],"lastnames":["Sousa"],"firstnames":["Daniel","Moreira"],"suffixes":[]}],"year":"2021","title":"Measuring the Amount of Freedom for Compositional Choices in a Textural Perspective Daniel Moreira de Sousa","abstract":"In this paper I discuss the relation between the number of available compositional choices and the complexity in dealing with them in the scope of musical texture. First, I discuss the paradigm of compositional choice in light of the number of variables for a given situation. Then, I introduce the concept of compositional entropy-–a proposal for measuring the amount of freedom that is implied in each compositional choice when selecting a given musical object. This computation depends on the number of available variables provided by the chosen musical object so that the higher the compositional entropy, the more complex is the choosing process as it provides a high number of possibilities to be chosen. This formulation enables the discussion of compositional choices in a view of probability and combinatorial permutations. In the second part of the article, I apply this concept in the textural domain. To do so, I introduce a series of concepts and formulations regarding musical texture to enable such a discussion. Finally, I demonstrate how to measure the compositional entropy of textures, considering both the number of possible textural configurations a composer may manage for a given number of sound- ing components (exhaustive taxonomy of textures) and how many different ways a given configuration can be realized as music in the score, considering only textural terms (exhaustive taxonomy of realizations).","doi":"10.46926/musmat.2021v5n1.126-156","journal":"MusMat: Brazilian Journal of Music and Mathematics","keywords":"Compositional entropy. Musical texture. Textural l,music texture","mendeley-tags":"music texture","number":"1","pages":"126–156","volume":"V","bibtex":"@Article{ sousa2021-measuring,\n author = {de Sousa, Daniel Moreira},\n year = {2021},\n title = {Measuring the Amount of Freedom for Compositional Choices\n in a Textural Perspective Daniel Moreira de Sousa},\n abstract = {In this paper I discuss the relation between the number\n of available compositional choices and the complexity in\n dealing with them in the scope of musical texture. First,\n I discuss the paradigm of compositional choice in light of\n the number of variables for a given situation. Then, I\n introduce the concept of compositional entropy-–a\n proposal for measuring the amount of freedom that is\n implied in each compositional choice when selecting a\n given musical object. This computation depends on the\n number of available variables provided by the chosen\n musical object so that the higher the compositional\n entropy, the more complex is the choosing process as it\n provides a high number of possibilities to be chosen. This\n formulation enables the discussion of compositional\n choices in a view of probability and combinatorial\n permutations. In the second part of the article, I apply\n this concept in the textural domain. To do so, I introduce\n a series of concepts and formulations regarding musical\n texture to enable such a discussion. Finally, I\n demonstrate how to measure the compositional entropy of\n textures, considering both the number of possible textural\n configurations a composer may manage for a given number of\n sound- ing components (exhaustive taxonomy of textures)\n and how many different ways a given configuration can be\n realized as music in the score, considering only textural\n terms (exhaustive taxonomy of realizations).},\n doi = {10.46926/musmat.2021v5n1.126-156},\n journal = {MusMat: Brazilian Journal of Music and Mathematics},\n keywords = {Compositional entropy. Musical texture. Textural l,music\n texture},\n mendeley-tags= {music texture},\n number = {1},\n pages = {126--156},\n volume = {V}\n}\n\n","author_short":["de Sousa, D. M."],"key":"sousa2021-measuring","id":"sousa2021-measuring","bibbaseid":"desousa-measuringtheamountoffreedomforcompositionalchoicesinatexturalperspectivedanielmoreiradesousa-2021","role":"author","urls":{},"keyword":["Compositional entropy. Musical texture. Textural l","music texture"],"metadata":{"authorlinks":{}}},"bibtype":"article","biburl":"https://hmb.sampaio.me/bibliografia.bib.txt","dataSources":["n6MFY2CscQLDpJ7nT"],"keywords":["compositional entropy. musical texture. textural l","music texture"],"search_terms":["measuring","amount","freedom","compositional","choices","textural","perspective","daniel","moreira","sousa","de sousa"],"title":"Measuring the Amount of Freedom for Compositional Choices in a Textural Perspective Daniel Moreira de Sousa","year":2021}