Entropy, Probabilistic Harmonic Space, and the Harmony of Antonio Carlos Jobim
This paper introduces a theoretical framework derived from a deep and detailed harmonic analysis of songs composed by Antonio Carlos Jobim, focusing on two components, namely, “semantic” (related to the idea of chord type) and “syntactic” (involving binary relations between contiguous chords). T...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Associação Brasileira de Teoria e Análise Musical
2022-12-01
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| Series: | Musica Theorica |
| Online Access: | https://revistamusicatheorica.tema.mus.br/index.php/musica-theorica/article/view/202 |
| _version_ | 1797835797037056000 |
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| author | Carlos de Lemos Almada Hugo Carvalho |
| author_facet | Carlos de Lemos Almada Hugo Carvalho |
| author_sort | Carlos de Lemos Almada |
| collection | DOAJ |
| description |
This paper introduces a theoretical framework derived from a deep and detailed harmonic analysis of songs composed by Antonio Carlos Jobim, focusing on two components, namely, “semantic” (related to the idea of chord type) and “syntactic” (involving binary relations between contiguous chords). The research is mainly focused on investigating the correlations between compositional style (here related to the harmonic construction) and the concepts of probability, expectance, and, especially entropy, being the latter defined as a measure of uncertainty or “surprise” of events along time. After a bibliographical review of these topics and their applications to music, a section exposes Markov Chains, a mathematical tool used to formalize the “semantic-syntactic” harmonic relations statistically inferred in the analyzed corpus of Jobim’s works. Then it follows the formalization of a probabilistic harmonic space and the concept of probabilistic index, directly associated with the entropy of the observed binary relations. This approach opens a new analytical perspective, also allowing the generalization of the presented theoretical and methodological technology for the examination of other repertoires and posterior comparison, presenting then as a new mean of investigation on the nature of style.
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| first_indexed | 2024-04-09T14:59:16Z |
| format | Article |
| id | doaj.art-154335fd7dd1441d840891d02da7ab31 |
| institution | Directory Open Access Journal |
| issn | 2525-5541 |
| language | English |
| last_indexed | 2024-04-09T14:59:16Z |
| publishDate | 2022-12-01 |
| publisher | Associação Brasileira de Teoria e Análise Musical |
| record_format | Article |
| series | Musica Theorica |
| spelling | doaj.art-154335fd7dd1441d840891d02da7ab312023-05-01T22:15:45ZengAssociação Brasileira de Teoria e Análise MusicalMusica Theorica2525-55412022-12-017110.52930/mt.v7i1.202Entropy, Probabilistic Harmonic Space, and the Harmony of Antonio Carlos JobimCarlos de Lemos Almada0Hugo Carvalho1Universidade Federal do Rio de JaneiroUniversidade Federal do Rio de Janeiro This paper introduces a theoretical framework derived from a deep and detailed harmonic analysis of songs composed by Antonio Carlos Jobim, focusing on two components, namely, “semantic” (related to the idea of chord type) and “syntactic” (involving binary relations between contiguous chords). The research is mainly focused on investigating the correlations between compositional style (here related to the harmonic construction) and the concepts of probability, expectance, and, especially entropy, being the latter defined as a measure of uncertainty or “surprise” of events along time. After a bibliographical review of these topics and their applications to music, a section exposes Markov Chains, a mathematical tool used to formalize the “semantic-syntactic” harmonic relations statistically inferred in the analyzed corpus of Jobim’s works. Then it follows the formalization of a probabilistic harmonic space and the concept of probabilistic index, directly associated with the entropy of the observed binary relations. This approach opens a new analytical perspective, also allowing the generalization of the presented theoretical and methodological technology for the examination of other repertoires and posterior comparison, presenting then as a new mean of investigation on the nature of style. https://revistamusicatheorica.tema.mus.br/index.php/musica-theorica/article/view/202 |
| spellingShingle | Carlos de Lemos Almada Hugo Carvalho Entropy, Probabilistic Harmonic Space, and the Harmony of Antonio Carlos Jobim Musica Theorica |
| title | Entropy, Probabilistic Harmonic Space, and the Harmony of Antonio Carlos Jobim |
| title_full | Entropy, Probabilistic Harmonic Space, and the Harmony of Antonio Carlos Jobim |
| title_fullStr | Entropy, Probabilistic Harmonic Space, and the Harmony of Antonio Carlos Jobim |
| title_full_unstemmed | Entropy, Probabilistic Harmonic Space, and the Harmony of Antonio Carlos Jobim |
| title_short | Entropy, Probabilistic Harmonic Space, and the Harmony of Antonio Carlos Jobim |
| title_sort | entropy probabilistic harmonic space and the harmony of antonio carlos jobim |
| url | https://revistamusicatheorica.tema.mus.br/index.php/musica-theorica/article/view/202 |
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