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Compositional Applications of Genera...

Rice, Steven.

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Compositional Applications of Generalized Lead Structures, SP-Cycles, and Syntax Graphs and Hardscrabble for Wind Ensemble.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Compositional Applications of Generalized Lead Structures, SP-Cycles, and Syntax Graphs and Hardscrabble for Wind Ensemble./
Author:	Rice, Steven.
Description:	159 p.
Notes:	Source: Dissertation Abstracts International, Volume: 75-09(E), Section: A.
Contained By:	Dissertation Abstracts International75-09A(E).
Subject:	Music. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3621253
ISBN:	9781303922695

Compositional Applications of Generalized Lead Structures, SP-Cycles, and Syntax Graphs and Hardscrabble for Wind Ensemble.
Rice, Steven.

Compositional Applications of Generalized Lead Structures, SP-Cycles, and Syntax Graphs and Hardscrabble for Wind Ensemble. - 159 p.

Source: Dissertation Abstracts International, Volume: 75-09(E), Section: A.

Thesis (Ph.D.)--University of Rochester, 2014.

Within the tradition of English change ringing, a specialized music theoretical framework developed to notate and perform long compositions from memory with one player per bell. The music theory and practice of English change ringing have elsewhere been used as a compositional tool by Peter Maxwell Davies, Robert Morris, and others. After reviewing and analyzing these representative works and compositional generalizations, such as Morris's SG(alpha) System, I explore the compositional scope and properties of change ringing leads, Gray codes, and SP-cycles. A unifying compositional principle that underlies the construction of each of these spaces is to partition a set of permutations into various kinds of equivalence classes and then chart a specific path through the sets.

ISBN: 9781303922695Subjects--Topical Terms:

516178
Music.

Compositional Applications of Generalized Lead Structures, SP-Cycles, and Syntax Graphs and Hardscrabble for Wind Ensemble.
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100 1 $a Rice, Steven. $3 2105369
245 1 0 $a Compositional Applications of Generalized Lead Structures, SP-Cycles, and Syntax Graphs and Hardscrabble for Wind Ensemble.
300 $a 159 p.
500 $a Source: Dissertation Abstracts International, Volume: 75-09(E), Section: A.
500 $a Includes supplementary digital materials.
500 $a Advisers: Allan Schindler; Robert Morris.
502 $a Thesis (Ph.D.)--University of Rochester, 2014.
520 $a Within the tradition of English change ringing, a specialized music theoretical framework developed to notate and perform long compositions from memory with one player per bell. The music theory and practice of English change ringing have elsewhere been used as a compositional tool by Peter Maxwell Davies, Robert Morris, and others. After reviewing and analyzing these representative works and compositional generalizations, such as Morris's SG(alpha) System, I explore the compositional scope and properties of change ringing leads, Gray codes, and SP-cycles. A unifying compositional principle that underlies the construction of each of these spaces is to partition a set of permutations into various kinds of equivalence classes and then chart a specific path through the sets.
520 $a The resulting technical guide to the composition of leads includes determination of factors that affect the periodicity of the lead and methods to check for the integrity of the Hamiltonian path within a traversal of all n! permutations. Defining a lead as an ordered multiset of operations, I show the minimal n for multiset members to create a Hamiltonian path through a given set of permutations. I demonstrate the musical use of a SP-cycle, a recently discovered generalized order structure that provides a flexible way to present Hamiltonian permutation sequences in a condensed or expanded fashion.
520 $a The final section of the paper is devoted to defining and applying syntax graphs, which condense information about musical sequences and aid in quantifying that information for analysis, thus addressing certain order-related phenomenological inquiries. Such quantified information can illustrate how and to what degree musical sequences differ. An analysis of Davies's Missa Super L'homme Arme is given, including discovery of the source material for the work.
590 $a School code: 0188.
650 4 $a Music. $3 516178
650 4 $a Mathematics. $3 515831
650 4 $a Applied Mathematics. $3 1669109
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710 2 $a University of Rochester. $b Eastman School of Music. $3 2105259
773 0 $t Dissertation Abstracts International $g 75-09A(E).
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791 $a Ph.D.
792 $a 2014
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3621253