MétaCan
Menu
Back to cohort
Record W4405911318 · doi:10.31751/1217

Tone-Clock Theory Explained. Mapping the Chromatic Tonalities

2024· article· de· W4405911318 on OpenAlexaff
Jonathan Lindhorst

Bibliographic record

VenueZeitschrift der Gesellschaft für Musiktheorie [Journal of the German-Speaking Society of Music Theory] · 2024
Typearticle
Languagede
FieldComputer Science
TopicMusic Technology and Sound Studies
Canadian institutionsMcGill University
Fundersnot available
KeywordsTone (literature)Chromatic scaleTone mappingComputer scienceMathematicsArtComputer visionCombinatorics

Abstract

fetched live from OpenAlex

Die Tone-Clock-Theorie wurde erstmals 1982 vom niederländischen Komponisten Peter Schat (1935–2003) kodifiziert und anschließend von der neuseeländischen Komponistin Jenny McLeod (1941–2022) in ihrem unveröffentlichten Manuskript Tone-Clock Theory Expanded: Chromatic Maps I & II (1994) erweitert. Die Theorie fordert nicht nur ein radikales Umdenken in der Sichtweise auf posttonale Harmonik, sondern bietet auch einen einzigartigen neuen Ansatz für die zeitgenössische Komposition. Aufbauend auf der Arbeit von Komponisten und Theoretikern wie Arnold Schönberg, Olivier Messiaen und insbesondere Pierre Boulez sowie Allen Forte fungiert die Tone-Clock als Landkarte der gesamten Chromatik, abgeleitet aus zwölf bisher unentdeckten zwölftönigen chromatischen Tonalitäten, die ausschließlich auf ihren intervallischen Beziehungen beruhen. Trotz ihrer weitreichenden Implikationen bleibt die Tone-Clock-Theorie ein randständiges und wenig erforschtes Thema, von dem nur wenige wissen, dass es existiert, und noch weniger ihre Funktionsweise verstehen. Dieser Artikel soll einen Überblick über die grundlegende Funktionsweise der Theorie geben und eine klar verständliche Anleitung bieten, wie man sich mit diesem neuen harmonischen System beschäftigen kann. First codified by queer Dutch composer Peter Schat (1935–2003) in 1982, and subsequently significantly expanded by New Zealand composer Jenny McLeod (1941–2022) through her unpublished manuscript Tone-Clock Theory Expanded: Chromatic Maps I & II (1994), tone-clock theory is not only a radical rethinking of post-tonal harmony, but also offers a unique new approach to contemporary composition. Building upon the work of composers and theorists such as Arnold Schoenberg, Olivier Messiaen, and especially Pierre Boulez and Allen Forte, the tone-clock functions as a map of all chromaticism derived from twelve previously undiscovered twelve-tone chromatic tonalities that are based entirely around their intervallic relationships. Despite its far-reaching implications, tone-clock theory remains an obscure and under-researched topic, with few being aware of its existence, and even fewer understanding its operations at the time of writing. This article aims to give an overview of tone-clock theory’s basic functionality and to offer a clear guide on how one can engage with this new harmonic system. Keywords: Post-Tonal Theory, twelve-tone theory, pitch-class set theory, tone-clock theory, Peter Schat, Jenny McLeod

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.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.002
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Methods · Consensus signal: none
Teacher disagreement score0.024
Threshold uncertainty score0.079

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.002
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0000.001
Bibliometrics0.0010.001
Science and technology studies0.0010.006
Scholarly communication0.0030.005
Open science0.0010.002
Research integrity0.0010.002
Insufficient payload (model declined to judge)0.0240.003

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 head0.026
GPT teacher head0.283
Teacher spread0.257 · 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

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreMethods

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2024
Admission routes1
Has abstractyes

Explore more

Same venueZeitschrift der Gesellschaft für Musiktheorie [Journal of the German-Speaking Society of Music Theory]Same topicMusic Technology and Sound StudiesFrench-language works237,207