Research conducted at the State University of Maringá, Paraná, Brazil, from 2010 to 2014.

Being both a composer utterly curious about the secrets of the art of music and a teacher of all levels of composition and music theory, I have been dedicating myself for more than two decades to the research of an efficient way to localize, explain and graph, in a synthetic, clear and pedagogical manner, the constructive coherence of the tonal repertoires, specially those from the second half of the 19th century. To accomplish this, I have been preparing a large number of analyses of important works from the western repertoire, and I have been constantly performing studies and critical reviews of works from a 2000-year span of music theorists that range from Pythagoras, Boethius, Prosdocimus, Zarlino and Tartini, all the way to 19th and 20th-century theorists such as Gottfried Weber, Hugo Riemann, Schoenberg and Schenker. Given my main interest in the late Romantic repertoire, my most important sources are 19th-century texts, either in a direct form or mediated by current musicologists, of authors such as Gottfried Weber (1779-1839), Moritz Hauptmann (1792-1868), François-Joseph Fétis (1784-1871), Arthur von Oettingen (1836-1920), Carl Friedrich Weitzmann (1808-1880), Rudolf Louis (1870-1914), Ludwig Thuille (1861-1907), Sigfrid Karg-Elert (1877-1933), Arnold Schoenberg (1874-1951) and, specially, Hugo Riemann (1849-1919). With these as a starting point, the research intends to propose an alternative way of explaining the compositional procedures of 19th-century Extended Tonality (also called Chromatic Tonality), a way built from the critical revision of the body of ideas of 19th-century theorists, formalized in a Structural Model presented as a deductive logical system. This system is most likely to be prepared “Demonstrated in Geometric Order” (as in Spinoza's “Ethics”), in the most objective way possible, contrary to the subjectivity of most theoretical works in this field. With this research, I intend to retrieve for the 21st-century scholar part of the world of 19th-century Music Theory ideas and concepts. These concepts are reasonably unknown to contemporary traditional instructional methodologies and present an invaluable body of thought which is hugely important for the understanding of 19th-century repertoire. The archives of analyses of repertoire prepared by me will also be collected, critically revised and preserved, and will be refitted as illustrative exemplification materials for the proposed Structural Model.

1. The proposition of an alternative way to explain the compositional procedures of the late 19th-century Extended Tonality(also known as Chromatic Tonality), built from the critical revision of the body of ideas of 19th-century theorists and formalized as a Structural Model presented in a deductive logical system;
2. The retrieval of part of the body of ideas of 19th-century theorists, which is hugely important to the understanding of the repertoire of that era, and reasonably unknown to the contemporary traditional instructional methodologies;
3. The collection, critical revision and preservation of the archives of analyses prepared by me of traditional repertoire, refitted as illustrative exemplification materials for the proposed Structural Model;
4. The creation of instructional bibliographic materials for the teaching of the western canon of Music Theory.

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