Parallels between the mathematics of tiling, which describes geometries of visual space,
and neo‐Riemannian theory, which describes geometries of musical space, make it …

Pitch space and Riemannian space offer divergent perspectives on tonal space in general.
This article suggests that cognitive metaphor theory offers a means of understanding …

The dualism between continuous and discrete is relevant in music theory as well as in
performance practice of musical instruments. Geometry has been used since longtime to …

Man kann einen jeden Begriff, einen jeden Titel, darunter viele Erkenntnisse gehören, einen
logischen Ort nennen. Immanuel Kant [258, p. B 324] This book's title subject, The Topos of …

Reading the relevant literature, one has the impression that, generally speaking, theorists
conceive David Lewin's Generalized Musical Intervals and Transformations (GMIT) as a …

The music-theoretic idea of a Tonnetz can be generalized at different levels: as a network of
chords relating by maximal intersection, a simplicial complex in which vertices represent …

Musical form can be conceptualized in two basic ways, temporally or spatially. The temporal
approach conceives of form diachronically, as a series of events that unfold through time …

This monograph examines the place of repetition in perceived musical structure and in
theories of music. Following a preface and introduction, there are four main …

The experience of notes as higher or lower than one another, and of movement within
passages of music, underpins many other musical experiences. Several theories of such an …

This paper develops points arising from the papers presented by Peretz & Morais; Clarke;
Lerdahl; C. Deliège; Baroni, Dalmonte & Jacoboni; and Nattiez, and the discussions that …