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

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Type: 
Master, Doctorate and Post-Doctorate
Main researcher: 
José António Oliveira Martins
Team elements (%affectation): 
Yolanda Espiña (CITAR-UCP-Porto), Dmitri Tymoczko (Princeton University)
Abstract: 

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.

Activities: 

Beginning: June 2011
End: August  2012
Sponcered: FCT: SFRH/BPD/74117/2010

State: 
Finalized
Research group: 
Theory of Arts
Summary: 

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