Perceptions of Musical Dimensions in Beethoven's <i>Waldsiein</i> Sonata: An Application of Tonal Pitch Space Theory
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Bibliographic record
Abstract
This study conducted a perceptual analysis of an excerpt from Beethoven's Waldstein piano sonata in four experiments. The experiments were followed by an application of Lerdahl's (2001) Tonal Pitch Space theory, or TPS, to perceptual judgments of musical tension over the course of the excerpt. In the experiments, data were obtained for each of 15 time points corresponding to the 15 successive sonorities in the excerpt. Listeners in the first three experiments were piano students who learned and performed the excerpt before participating in the experimental tasks. In Experiment 1, judgments of phrase structure permitted examination of the perceptual segmentation of the excerpt. In Experiment 2, probe-tone ratings (Krumhansl and Kessler, 1982) were used to derive both a measure of perceived distance traveled in key space as well as a measure of temporal orientation — the degree to which listening at each time point was retrospective or prospective. In Experiment 3, a tension contour over the 15 time points was derived from listeners' continuous responding to perceived tension throughout the excerpt. In Experiment 4, judgments of consonance/dissonance for each sonority, isolated from context and presented in random order in a randomly selected transposition, were obtained from piano students unfamiliar with the excerpt. Strong correspondences were found between the perceptual measures and related music-theoretic predictors generated from TPS. The tension contour was regressed on TPS predictors. Both sensitivity to hierarchical structure and expectancies arising from voice leading, as well as the overall melodic contour, significantly contributed to the prediction of perceived tension.
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Full frame distilled prediction
Teacher imitationNot 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.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.002 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it