Affinity Space, Modulation Space, and Geometrical Representations of Musical Systems

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Português
Estado: 
Finalizado
Grupo de investigacao: 
Teoria das Artes
Tipologia: 
Mestrado, Doutoramento e Pós-Doutoramento
Investigador principal: 
José António Oliveira Martins
Elementos da equipa (%afetação): 
Yolanda Espiña (CITAR-UCP-Porto), Dmitri Tymoczko (Princeton University)
Resumo: 

The project was partially developed at Princeton University (mathematical and conceptual development of geometrical modeling)

The project developed music-mathematical and geometrical models for the conceptualization and analysis of harmonic relations in modally-inflected twentieth-century music (Bartók, Stravinsky, Milhaud, Lutoslawski, among others), a repertoire of high reception appeal, but resistant to current music-analytical models.

Atividades e calendario: 

Data de início: Junho de 2011
Data de conclusão: Agosto de 2012
Financiamento: FCT: SFRH/BPD/74117/2010

Sumario: 

The project developed music-mathematical and geometrical models for the conceptualization and analysis of harmonic relations in modally-inflected twentieth-century music (Bartók, Stravinsky, Milhaud, Lutoslawski, among others), a repertoire of high reception appeal, but resistant to current music-analytical models.
06/2011 to 12/2013