@inproceedings{07c182bb72694bb39f6e8b9921db0026,
title = "Interval cycles, affinity spaces, and transpositional networks",
abstract = "The paper proposes a framework that coordinates several models of pitch space whose constructive features rely on the concept of interval cycles and transpositional relations. This general model brings under a focused perspective diverse pitch structures such as Tonnetze, affinity spaces, Alban Berg{\textquoteright}s {\textquotedblleft}master array{\textquotedblright} of interval-cycles, and several types of transpositional networks (T-nets). This paper argues that applying incremental changes on some of the constructive features of the generic Tonnetz (Cohn 1997) results in a set of coherent and analytically versatile transpositional networks (T-nets), here classified as homogeneous, progressive, and dynamic. In this context, several properties of the networks are investigated, including voice-leading and common-tone relations. The paper also explores the music-modeling potential of progressive and dynamic T-nets by attending to characteristic compositional deployments in the music of Witold Lutos{\l}awski and Gy{\"o}rgy Kurt{\'a}g.",
keywords = "Affinity spaces, Dasian, Interval cycles, neo-Riemannian theory, Network, T-nets, Tonnetz, Transposition",
author = "Martins, \{Jos{\'e} Oliveira\}",
year = "2011",
month = jun,
day = "18",
doi = "10.1007/978-3-642-21590-2\_10",
language = "English",
isbn = "9783642215896",
series = "Lecture Notes in Computer Science",
publisher = "Springer Berlin",
pages = "126--139",
editor = "Carlos Agon and Moreno Andreatta and G{\'e}rard Assayag and Emmanuel Amiot and Jean Bresson and John Mandereau",
booktitle = "Mathematics and computation in music",
address = "Germany",
note = "3rd International Conference on Mathematics and Computation in Music, MCM 2011 ; Conference date: 15-06-2011 Through 17-06-2011",
}