Acoustical Analysis of the Chinese Transverse Flute (dizi) using the Transfer Matrix Method
Bibliographic record
Abstract
The dizi is a flute-like traditional Chinese wind instrument with a cylindrical bore and a series of holes opening along its length. In addition to the common embouchure hole and six finger holes, there is a membrane hole located between the embouchure hole and the uppermost finger hole, and four extra toneholes placed near the bottom of the bore, which are always open to the air. In this paper, the transfer matrix method (TMM), as well as the transfer matrix method with external interactions (TMMI), are used to study the acoustic characteristics of the dizi. The TMM and TMMI models are validated by comparing the simulated input impedance of the dizi with measurements, both with and without a membrane. The TMM is used to generate the distribution map of normalized acoustic pressure and velocity along the main bore as a function of frequency for different fingerings. Different acoustic characteristics are discussed through the analysis of the pressure and flow maps. It is found that the four extra end holes compose a second tonehole lattice, which is independent of the one formed by the finger holes.
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.003 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.002 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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".