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My introduction to music and politics originated from a pedagogical need: I was scheduled to teach a class at the UC Center in Washington, D.C., and my colleague at the time, Michael Beckerman, sugges...
Mapping the Geometries of Pitch-Class Set Similarity Measures via Multidimensional
pitch-class set theory similarity measures atonal music numerical visualization multidimensional scaling IcVSIM ISIM2 ANGLE RECREL AMEMB2 ATMEMB
2010/3/25
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...
An Algorithm for the Direct Generation of Set Class Representatives in Any Pitch Class Space
equivalence class generation set class representatives orderly algorithm
2010/3/29
When spaces with greater than 20 pitch classes are considered, the problem of
generating equivalence classes (set classes) with respect to operations like transposition and
inversion becomes incre...
The Role of Set-Class Identity in the Estimation of Chords Get the free RealPlayer to hear the audio examples
set-class trichord pentachord aural estimation chord categorization
2010/3/29
The study examined the role of set-class identity for the subjects' estimations of chords. Additionally, the study examined what factors other than the set-class identity were guiding the subjects' es...
Linear Analysis--A Cure for Pitch-Class Set Analysis?: A Reply
Latham Schoenberg Forte atonality set theory
2010/4/21
Edward Latham reviewed and criticized the author's "Atonality, Analysis, and the Intentional Fallacy" (Music Theory Spectrum 18.2 [Fall 1996]: 167-99). The author replies.