Search for interval-class vectors

9 results

... pitch-class space for the piece's pitch structure to cohere. Unity manifests when an interval class ... . These linear/vertical interval-class exchanges are the focus of the study. ... (ic) is expressed in the horizontal and vertical pitch-class spaces, creating a two-dimensional ...
... pitch-class space for the piece's pitch structure to cohere. Unity manifests when an interval class ... . These linear/vertical interval-class exchanges are the focus of the study. ... (ic) is expressed in the horizontal and vertical pitch-class spaces, creating a two-dimensional ...
Modifying Interval-Class Vectors of Large Collections to Reflect Registral Proximity among Pitches
Music Theory Online (1994) , pp. np

The twelve-tone operations of transposition and inversion reduce all 12-note collections to one set-class, all 11-note collections to one set-class, and all ten-note collections to one of six set-classes. Yet throughout this century, composers have organized large collections in different ...

... greater than six semitones in order to derive interval-class vectors which distinguish different sets of a given set-class. [PUBLICATION ABSTRACT] ... Forte's interval-class vector to preserve some indication of registral proximity among pitches ... , assigning fractional counts to intervals greater than six semitones in order to derive interval-class ...
... research in the area of set-class similarity. He articulates some unresolved issues surrounding this ... account when considering similarity of this sort. He looks at how set class similarity might interact ...
Some Instances of Ic1/Ic5 Interaction in Post-Tonal Music (and Their Tonnetz Representations)
GAMUT (2013) Vol. 6, No. 2, pp. 17-50

Drawing on the author's Dual Interval Space methodology, this essay uses a Tonnetz model to explore the interaction of interval classes 1 and 5 in pieces by Bartók, Stravinsky, and Webern. The analyses attest to the importance of ic1/ic5 pairing ...

... Drawing on the author's Dual Interval Space methodology, this essay uses a Tonnetz model to explore ... the interaction of interval classes 1 and 5 in pieces by Bartók, Stravinsky, and Webern. The ... illuminating processes and relationships that transcend the standard pitch-class operations. In ...
White Note Fantasy
Music Theory Online (1998) Vol. 4, pp. np

In Part I "topological" transformations are utilized to generate pre-compositional systems called "white note systems." Applying the procedures developed there, Part II combines some of the work done by others on three fundamental aspects of diatonic systems: underlying scale structure, ...

Definição de Sintaxe Composicional a Partir do Estabelecimento de Hierarquias Entre Sonoridades Tricordais Relacionadas por Similaridade
Música Hodie (2012) Vol. 12, No. 2, pp. 109-119

In this article, we describe the process of defining a compositional system that establishes hierarchical relationships between trichordal set classes based on the similarity between their interval vectors. Initially, based on the similarity calculation model proposed by Lewin, a table ...

... set classes based on the similarity between their interval vectors. Initially, based on the ... hierarchical relationships between trichordal set classes based on the similarity between their interval ... vectors. Initially, based on the similarity calculation model proposed by Lewin, a table is ...
Mapping the Geometries of Pitch-Class Set Similarity Measures via Multidimensional Scaling
Music Theory Online (2005) Vol. 11, pp. np

A numerical visualization technique called multidimensional scaling (MDS) was applied to the matrices of (dis)similarity ratings from six pitch-class set (pcset) similarity functions to see what types of constructs they actually measure. Three functions that use the interval-class vector (icv) ...

... types of constructs they actually measure. Three functions that use the interval-class vector (icv) for ... what types of constructs they actually measure. Three functions that use the interval-class vector ... matrices of (dis)similarity ratings from six pitch-class set (pcset) similarity functions to see what ...