Psychology-based rhythmic transformations
Bibliographic record
Abstract
The psychology-based rhythmic analysis of McLachlan in 'A Spatial Theory of Rhythmic Resolution', on music from the African and Javanese musical traditions using Gestalt theory and mathematical group theory, to include ternarizations and other timespans, is generalized. McLachlan used Gestalt psychology principles to define rhythmic transformations from a 12-pulse rhythm to a 16-pulse rhythm. The superposition of two groups of 3 pulses over two groups of 4 pulses is sufficient to generate a 12-pulse rhythm. The 12-pulse rhythm is snapped to the 16-pulse rhythm using the nearest neighbor rule but the snapping of the rhythm to pulses numbered 0, 3, 4, 6, 8, 10, 12, and 13 are restricted. The results show that the original rhythm has many onsets in common with the salient positions in the construction of McLachlan showing an efficient binarization.
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How this classification was reachedexpand
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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
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".