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Record W2062550566 · doi:10.1080/17459737.2012.751522

Audacious euphony: Chromaticism and the triad's second nature

2013· article· en· W2062550566 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueJournal of Mathematics and Music · 2013
Typearticle
Languageen
FieldArts and Humanities
TopicMusicology and Musical Analysis
Canadian institutionsQueen's University
Fundersnot available
KeywordsMusic theoryComputer scienceMathematicsArt historyHumanitiesArtLiteratureMusical

Abstract

fetched live from OpenAlex

Click to increase image sizeClick to decrease image size Notes R is excluded in this chapter since its non-common-tone voice moves by two semitones rather than one; it is introduced later in Chapter 4. Originally derived from Cook, equivalent to LPL or PLP 1 Cook, R. Alternative transformational aspects of the 'Grail' in Wagner's. Parsifal, Music Theory Midwest Conference;. Bloomington. sIN. [Google Scholar]. As outlined in Cohn's introduction to the Journal of Music Theory's special issue on neo-Riemannian theory, these models were a result of ongoing correspondence between Cohn and Douthett 3 Cohn, R. 1998. Introduction to Neo-Riemannian theory: A survey and historical perspective. J. Music Theory. J. Music Theory, 42: 167–180. (doi:10.2307/843871)[Crossref], [Web of Science ®] , [Google Scholar] 4 Douthett, J. and Steinbach, P. 1998. Parsimonious graphs: A study in parsimony, contextual transformations, and modes of limited transposition. J. Music Theory., 42: 241–264. (doi:10.2307/843877)[Crossref], [Web of Science ®] , [Google Scholar]. A notable exception is Roeder's tutorial to transformational spaces 5 J. Roeder. Constructing transformational signification: Gesture and agency in Bartók's Scherzo, op. 14, no. 2, measures 1–32. Music Theory Online. 2009;5. [Google Scholar]. In some ways this is suggestive of recent work by Gollin, Childs, Capuzzo, and others, although Cohn's approach is closer to Hook's cross-type transformation, to be discussed shortly 6–9 Gollin, E. 1998. "Some aspects of three-dimensional Tonnetze". In J. Music Theory Vol. 42, 195–206. Childs, A. 1998. Moving beyond Neo-Riemannian triads: Exploring a transformational model for seventh chords. J. Music Theory., 42: 181–193. (doi:10.2307/843872) Capuzzo, G. 2004. Neo-Riemannian theory and the analysis of Pop-Rock music. Music Theory Spectr., 26: 177–199. (doi:10.1525/mts.2004.26.2.177) Hook, J. 2007. "Cross-type transformations and the path consistency condition". In Music Theory Spectr Vol. 29, 1–40. . Cohn adapts the concept of Tonnetz neighbourhood from the work of Hostinský and Popovic 10 O. Hostinský. Die Lehre von den musikalischen Klängen: Ein Beitrag zur aesthetischen Begründung der Harmonielehre, H. Dominicus, Prague; 1879. [Google Scholar] 11 I. Popovic. Common principles in music-theoretical systems. [Ph.D. dissertation]. Yale: Yale University; 1992. [Google Scholar]. Admittedly, one could understand the transformations as occurring between pitch classes rather than chordal objects, which Cohn does when using the Tonnetz; however, this is clearly not the case in Cohn's larger networks and spaces which treat entire chords as the primary objects of transformation. While my dissertation explores such interpretations extensively, my article on Schafer's Seventh String Quartet provides a shorter example, juxtaposing chromatic transformations of complete collections with mode-contextual transformations of smaller motives 12 S. Lind. Interpreting gesture as motive: A transformational perspective on replication in R. Murray Schafer's Seventh String Quartet. Intersections. 2008;28:63–71. [Google Scholar]. Ricci presents several analyses in two simultaneous diatonic keys coupled with a sequential analysis examining transpositional/voice-leading shifts, while Straus's recent analyses of Stravinsky focus on both complete row forms and contextual inversions of tetrachords that produce RI chains 13 A. Ricci. Non-coinciding sequences. Music Theory Spectr. 2011;33:124–145. [Google Scholar] 14 J. Straus. Contextual inversion spaces. J. Music Theory. 2011;55:43–88. [Google Scholar].

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesInsufficient payload (model declined to judge)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.221
Threshold uncertainty score0.995

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0060.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.014
GPT teacher head0.201
Teacher spread0.187 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it