Processing of hierarchical syntactic strusture in music

Hierarchical structure with nested nonlocal dependencies is a key feature of human language and can be identified theoretically in most pieces of tonal music. However, previous studies have argued against the perception of such structures in music. Here, we show processing of nonlocal dependencies in music. We presented chorales by J. S. Bach and modified versions inwhich the hierarchical structure was rendered irregular whereas the local structure was kept intact. Brain electric responses differed between regular and irregular hierarchical structures, in both musicians and nonmusicians. This finding indicates that, when listening to music, humans apply cognitive processes that are capable of dealing with longdistance dependencies resulting from hierarchically organized syntactic structures. Our results reveal that a brain mechanism fundamental for syntactic processing is engaged during the perception of music, indicating that processing of hierarchical structure with nested nonlocal dependencies is not just a key component of human language, but a multidomain capacity of human cognition.

Lévi-Strauss Mitológicas: Mito e música entre o largo e o prestíssimo

This study was elaborated based on our research of the work Mithologiques by the anthropologist Claude Lévi-Strauss (1908-2009), which affirms that languages, indigenous myths and music are related. He proposes that the understanding of myths occurs in a similar manner as with an orchestral score. In the course of his tetralogy we investigated the musical terms used in the analysis and in the division of the chapters, especially in the first volume of his work. Several compositional procedures and forms are named. Composers in pairs are categorized: Sebastian Bach for the code, Ludwig van Beethoven for the message, and Richard Wagner for the myths. In this deduction, we structured in parts: theme and variations, sonata and fugue with the aforementioned composers. Within the greatness of anthropological study, from among over 800 myths, we selected the first five of the indigenous tribe Bororo to discuss within the Theme and Variation segment. In the Sonata part there are two myths with the same theme: The wife of the jaguar which relates to the compositional structure, and four myths about The origin of women. Finally, in the segment related to the Fugue, we collected four myths that address The shortness of life. Honoring the many terms expressed in opposition, contrast, or symmetry under consideration in Levi-Strauss work, we entitled this thesis emphasizing the migration between the tempos Largo and Prestíssimo as these are oppositional presentations in music. Fifteen musical myths accompany the work supported by selected narratives. In light of this we questioned, we questioned: how are incest, murder and other events part of a society that elevates nature as an extension of life itself? And how did Lévi-Strauss think that anthropology harmonized with music? In the preparation of this study, philosophers like Peter Sloterdijk discuss the circular territory of Mythology

A obra de triangulis omnimodis libri quinque de Johann Müller Regiomontanus (1436 1476): uma contribuição para o desenvolvimento da trigonometria

Trigonometry, branch of mathematics related to the study of triangles, developed from practical needs, especially relating to astronomy, Surveying and Navigation. Johann Müller, the Regiomontanus (1436-1476) mathematician and astronomer of the fifteenth century played an important role in the development of this science. His work titled De Triangulis Omnimodis Libri Quinque written around 1464, and published posthumously in 1533, presents the first systematic exposure of European plane and spherical trigonometry, a treatment independent of astronomy. In this study we present a description, translation and analysis of some aspects of this important work in the history of trigonometry. Therefore, the translation was performed using a version of the book Regiomontanus on Triangles of Barnabas Hughes, 1967. In it you will find the original work in Latin and an English translation. For this study, we use for most of our translation in Portuguese, the English version, but some doubt utterance, statement and figures were made by the original Latin. In this work, we can see that trigonometry is considered as a branch of mathematics which is subordinated to geometry, that is, toward the study of triangles. Regiomontanus provides a large number of theorems as the original trigonometric formula for the area of a triangle. Use algebra to solve geometric problems and mainly shows the first practical theorem for the law of cosines in spherical trigonometry. Thus, this study shows some of the development of the trigonometry in the fifteenth century, especially with regard to concepts such as sine and cosine (sine reverse), the work discussed above, is of paramount importance for the research in the history of mathematics more specifically in the area of historical analysis and critique of literary sources or studying the work of a particular mathematician

A capitania de São José do Piauhy na racionalidade espacial Pombalina (1750-1777)

Em meio às intervenções políticas, econômicas e administrativas realizadas no Brasil a partir de 1750, é possível observar como se deram as tentativas de organização da capitania de São José do Piauhy e até mesmo o seu reconhecimento como importante área pecuarista da colônia. Neste trabalho, realizou-se um recorte espacial priorizando a região em que a apropriação territorial teria se dado de forma mais diversa em tal capitania, pois além dos procedimentos de aquisição de sesmarias, existiram ainda os processos de herança e confisco. Sobre estes últimos, os mesmos incidiram sobre as fazendas que pertenceram ao sertanista baiano Domingos Afonso Mafrense, e que após serem deixadas de herança para os religiosos da Companhia de Jesus (1711), foram confiscadas pela Coroa Portuguesa (1759). Isso aconteceu em meio ao planejamento e execução de medidas governamentais que atingiram todos os domínios portugueses durante esse período, a chamada Política Pombalina. Tais intervenções administrativas, por sua vez, puderam ser analisadas tomando-se como referência a confecção da primeira representação cartográfica destinada a tal capitania, o Mappa Geográfico da Capitania do Piauhy, produzido pelo engenheiro italiano Henrique Antônio Galúcio. Deste modo, considerando-se as particularidades da política portuguesa destinada ao interior do Brasil, em meados do séc. XVIII, com destaque para as medidas incidentes sobre os modos de vida indígena e rural, observou-se a tentativa de implantar-se uma nova forma de organização espacial, a partir de modos e instalações urbanas. Neste contexto, São José do Piauhy passa a ser alvo de intensas investidas enquanto área oficialmente pertencente ao Estado do Grão-Pará e Maranhão