Musical composition based on skewed statistical distributions of stochastic processes
The inclusion of skewed statistical distributions in the stochastic process for composing music contributes to clarify the effect of some pitch patterns for generating new pieces of music. The aim of this study was to compare and measure the effect of using skewed statistical distributions instead o...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Cogent Arts & Humanities |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/23311983.2024.2351656 |
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| author | Igor Lugo Martha G. Alatriste-Contreras |
| author_facet | Igor Lugo Martha G. Alatriste-Contreras |
| author_sort | Igor Lugo |
| collection | DOAJ |
| description | The inclusion of skewed statistical distributions in the stochastic process for composing music contributes to clarify the effect of some pitch patterns for generating new pieces of music. The aim of this study was to compare and measure the effect of using skewed statistical distributions instead of using the common uniform distribution applied in Markov chains. We applied an explorative data analysis related to the Shannon entropy and the Monte Carlo approach, to generate and compare different stochastic realizations associated with a particular exponential and uniform distributions and two types of note selection based on intervals. Findings suggested that the presence of an exponential statistical distribution may generate a wide range of entropy values that could be associated with the diversity concept in complex systems. On the other hand, the presence of the uniform distribution may generate a narrow range of entropy values possibly associated with less diverse behaviors in simple systems. Therefore, the use of skewed statistical distributions, in particular the exponential, in the stochastic process for musical composition sets ground for the emergence of articulated musical patterns. |
| format | Article |
| id | doaj-art-29c25fe71e8a4cabaeca9a2c6e7d7177 |
| institution | Kabale University |
| issn | 2331-1983 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Cogent Arts & Humanities |
| spelling | doaj-art-29c25fe71e8a4cabaeca9a2c6e7d71772024-12-14T07:43:08ZengTaylor & Francis GroupCogent Arts & Humanities2331-19832024-12-0111110.1080/23311983.2024.2351656Musical composition based on skewed statistical distributions of stochastic processesIgor Lugo0Martha G. Alatriste-Contreras1Centro Regional de Investigaciones Multidisciplinarias, Universidad Nacional Autonoma de Mexico, Cuernavaca, Morelos, MexicoFacultad de Economia, Universidad Nacional Autonoma de Mexico, Ciudad de Mexico, MexicoThe inclusion of skewed statistical distributions in the stochastic process for composing music contributes to clarify the effect of some pitch patterns for generating new pieces of music. The aim of this study was to compare and measure the effect of using skewed statistical distributions instead of using the common uniform distribution applied in Markov chains. We applied an explorative data analysis related to the Shannon entropy and the Monte Carlo approach, to generate and compare different stochastic realizations associated with a particular exponential and uniform distributions and two types of note selection based on intervals. Findings suggested that the presence of an exponential statistical distribution may generate a wide range of entropy values that could be associated with the diversity concept in complex systems. On the other hand, the presence of the uniform distribution may generate a narrow range of entropy values possibly associated with less diverse behaviors in simple systems. Therefore, the use of skewed statistical distributions, in particular the exponential, in the stochastic process for musical composition sets ground for the emergence of articulated musical patterns.https://www.tandfonline.com/doi/10.1080/23311983.2024.2351656Nomusa Makhubu, University of Cape Town, South AfricaComposition & OrchestrationElements of MusicMusic TechnologyTheory of MusicStochastic process |
| spellingShingle | Igor Lugo Martha G. Alatriste-Contreras Musical composition based on skewed statistical distributions of stochastic processes Cogent Arts & Humanities Nomusa Makhubu, University of Cape Town, South Africa Composition & Orchestration Elements of Music Music Technology Theory of Music Stochastic process |
| title | Musical composition based on skewed statistical distributions of stochastic processes |
| title_full | Musical composition based on skewed statistical distributions of stochastic processes |
| title_fullStr | Musical composition based on skewed statistical distributions of stochastic processes |
| title_full_unstemmed | Musical composition based on skewed statistical distributions of stochastic processes |
| title_short | Musical composition based on skewed statistical distributions of stochastic processes |
| title_sort | musical composition based on skewed statistical distributions of stochastic processes |
| topic | Nomusa Makhubu, University of Cape Town, South Africa Composition & Orchestration Elements of Music Music Technology Theory of Music Stochastic process |
| url | https://www.tandfonline.com/doi/10.1080/23311983.2024.2351656 |
| work_keys_str_mv | AT igorlugo musicalcompositionbasedonskewedstatisticaldistributionsofstochasticprocesses AT marthagalatristecontreras musicalcompositionbasedonskewedstatisticaldistributionsofstochasticprocesses |