Determination of Compositional Systems Through Systemic Modeling

Music and Mathematics in Latin America: Major Developments in the Last 25 Years

“…1 a result, compositional systems from which pieces for various instrumental formations were planned and composed [59,60,133,137,138]; in the second one, developed with advanced undergraduate students, eight short Brazilian pieces for piano or guitar were modeled, and also resulted in analytical papers and new original compositions [134,135,139]. The modeling methodology is accomplished through the application of several theoretical frameworks such as: Developing Variation, Partitional Analysis, Contour Theory [132], Textural Contour, Motivic and Gestural Analysis [140], Markovian Chains, [59], Harmonic Endogeny, [141], Linear Partitioning, Pitch-Class Similarity, Voice-Leading Operations, Pitch Class Set Theory, etc.…”

Planejamento composicional de duas novas obras a partir da modelagem sistêmica da Modinha da Brasiliana N.1, de Osvaldo Lacerda

“…O primeiro aspecto é sua macroestrutura, que, como veremos, tem forte similaridade com a Invenção barroca. O segundo aspecto é a harmonia implícita, que 5 Para um maior aprofundamento sobre essa metodologia, seus conceitos básicos e suas origens relacionadas à convergência da Teoria da Intertextualidade com a Teoria dos Sistemas Composicionais indicamos a consulta de Medeiros, Santos e Pitombeira (2011), Moraes e Pitombeira (2011, 2012, 2013, Moraes, Castro e Pitombeira (2013), Pitombeira (2014Pitombeira ( , 2015aPitombeira ( , 2015bPitombeira ( , 2017aPitombeira ( , 2017bPitombeira ( , 2017cPitombeira ( , 2017dPitombeira ( , 2017e, 2018 , Castro-Lima e Pitombeira (2015Pitombeira ( , 2018aPitombeira ( , 2018b, Castro-Lima, Mesquita e Pitombeira (2016, 2018, Kühn, Usai e Pitombeira (2016), Kühn, Usai, Pascale e , Oliveira e Pitombeira (2016). nos permitirá compreender a linguagem harmônica associada aos gestos 6 melódicos.…”