This article examines Schoenberg\u27s Klavierstück, op. 33b, from a partitional perspective. The analysis uses the construct of the mosaic to show how dyadic, tetrachordal and trichordal partitions articulate formal divisions and achieve continuity and closure on both small and large scales. It demonstrates that the brute-force repetition of materials creates a coherent surface structure, and that deviations from the normative partitioning schemes offer insight into the underlying compositional strategies
At a large timescale, music pieces can be described as the succession of structural segments which f...
Witold Lutoslawski is widely recognized as having contributed numerous innovations to the twentieth-...
The cardinal characteristic inequality r <= hm3 is proved. Several partition relations for ordinals ...
This thesis explores how partitions and partition lattices can provide insight into small-scale and...
112 p.Thesis (D.M.A.)--University of Illinois at Urbana-Champaign, 1999.The major finding of this st...
The article begins with a semiotic analysis of the first movement of Arnold Schoenberg’s Third Strin...
This study explores the analytical implications of cross-partitions, or two-dimensional harmony and ...
Polystylistics, a twentieth-century compositional process, is marked by the occurrence of two or mor...
Trichords and hexachords are fundamental structural elements in many post-tonal compositions. A theo...
Composition of facets of the clique partitioning polytope / M. Grötschel ; Y. Wakabayashi. - In: Top...
This is a study of the dyad, both as a theoretic concept and as an analytic event in Schoenberg's Se...
This is the authors' accepted manuscript. First published in Notices of the American Mathematical So...
the most diverse of settings. Some obvious examples exhibiting this intrusive type of behavior inclu...
This paper considers the nature of partitions and many of the results surrounding them. Partitions l...
We explore partitions that lie in the intersection of several sets of classical interest: partitions...
At a large timescale, music pieces can be described as the succession of structural segments which f...
Witold Lutoslawski is widely recognized as having contributed numerous innovations to the twentieth-...
The cardinal characteristic inequality r <= hm3 is proved. Several partition relations for ordinals ...
This thesis explores how partitions and partition lattices can provide insight into small-scale and...
112 p.Thesis (D.M.A.)--University of Illinois at Urbana-Champaign, 1999.The major finding of this st...
The article begins with a semiotic analysis of the first movement of Arnold Schoenberg’s Third Strin...
This study explores the analytical implications of cross-partitions, or two-dimensional harmony and ...
Polystylistics, a twentieth-century compositional process, is marked by the occurrence of two or mor...
Trichords and hexachords are fundamental structural elements in many post-tonal compositions. A theo...
Composition of facets of the clique partitioning polytope / M. Grötschel ; Y. Wakabayashi. - In: Top...
This is a study of the dyad, both as a theoretic concept and as an analytic event in Schoenberg's Se...
This is the authors' accepted manuscript. First published in Notices of the American Mathematical So...
the most diverse of settings. Some obvious examples exhibiting this intrusive type of behavior inclu...
This paper considers the nature of partitions and many of the results surrounding them. Partitions l...
We explore partitions that lie in the intersection of several sets of classical interest: partitions...
At a large timescale, music pieces can be described as the succession of structural segments which f...
Witold Lutoslawski is widely recognized as having contributed numerous innovations to the twentieth-...
The cardinal characteristic inequality r <= hm3 is proved. Several partition relations for ordinals ...