publication . Article . 2016

Generating Milton Babbitt’s All-Partition Arrays

Brian Bemman; David Meredith;
Closed Access English
  • Published: 02 Apr 2016
  • Country: Denmark
Abstract
In most of Milton Babbitt's (1916–2011) works written since the early 1960s, both the pitch and rhythmic content is organized according to a highly constrained structure known as the all-partition array. The all-partition array provides a framework that ensures that as many different forms of a tone row as possible (generated by any combination of transposition, inversion or reversal) are expressed 'horizontally' and that each integer partition of 12 whose cardinality is no greater than the number of lynes in a piece is expressed by exactly one 'vertical' aggregate. We present a greedy backtracking algorithm for generating a particular type of all-partition arra...
Subjects
free text keywords: music analysis, Milton Babbitt, all-partition array, pitch class set theory, algorithms, music theory, 12-tone music, Visual Arts and Performing Arts, Music, Algorithm, Speech recognition, Transposition (music), Backtracking, Heuristics, Partition (number theory), Babbitt, Computer science, Twelve-tone technique, Cardinality
Related Organizations
Funded by
EC| LRN2CRE8
Project
LRN2CRE8
Learning to Create
  • Funder: European Commission (EC)
  • Project Code: 610859
  • Funding stream: FP7 | SP1 | ICT
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