Modal Pitch Space — A Theoretical and Analytical Study

Bibliographic Data

ID20408043
AuthorsCostas Tsougras (0009-0005-7263-5149, Aristotle Universiry of Thessaloniki, Faculry of Fine Arts, School of Music, corresponding author)
Year2003
Volume7
Issue1
Pages57-86
Publication date2003-03-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueMusicae Scientiae (JOURNAL)
Journal identifiersISSN: 1029-8649 • E-ISSN: 2045-4147
PublisherSAGE Publications (PUBLISHER • US)
DOI10.1177/102986490300700104
OpenAlexW1898602522
LanguageEN
Citations received2
References cited13

This paper presents an approach to the pitch space of the seven diatonic modes. The proposed theory is an expansion of Fred Lerdahl's tonal pitch space model; its purpose is a more accurate description of the situations involved in the analysis of diatonic modal music. The original methodology and set of algebraic calculating formulae is retained, but it is applied on modal instead of tonal space, on the basis that the latter is a subset of the former. In connection to Fred Lerdahl's theory, melodic motion, chord attraction and various cadence types are described within the modal context. Apart from the calculation of the pitch and the chordal and regional space algebraic representations, geometrical representations of all three levels of the modal pitch space are also included. Finally, the stability conditions arising from the new model are used as criteria to build the time span reduction and prolongational reduction parts of the Generative Theory of Tonal Music (GTTM) analysis of modal music. Two short GTTM analyses of 20th century modal music are being presented to illustrate the new model's analytical use

Algebra over a field · Melody · Modal · Musical · Pure mathematics · Computer Science · Mathematics · Music and Audio Processing · Music Technology and Sound Studies · Neuroscience and Music Perception

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