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May 14, 2026The Journal of the Acoustical Society of America0 citations

Combination tones and hysteresis effects in the edge tone/whistle tone region of a soprano recorder

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KSK. L. Saenger

Key Points

  • This research explores the behaviors of edge tones and whistle tones in a soprano recorder at varying blowing pressures and fingerings.
  • In-depth analysis of edge tones and whistle tones produced by a soprano recorder under different blowing pressures.
  • Observations made on tonal frequencies related to specific fingerings and blowing pressures.
  • Comparison of findings with previous measurements of jet/edge systems and alto recorders.
  • At low blowing pressures, frequencies of tones were independent of fingered notes, confirming true edge tone behavior.
  • Higher note fingerings exhibited edge-tone characteristics and a transition to whistle tones with only minor pressure increases.
  • Hysteresis effects allowed for the toggling of whistle tones through slight changes in airflow.

Abstract

Edge tones in jet/edge and jet/edge/resonator systems have fascinated researchers for more than 100 years, due, in part, to the complex behaviors associated with such a seemingly simple jet/edge geometry and the prevalence of flue instruments (organs, recorders, and flutes) classified as jet/edge/resonators. The present work examines tones produced in a soprano recorder at low blowing pressures—edge tones, whistle tones, and the combination tones generated when both are present at the same time—as a function of blowing pressure and fingered note. Tones at the lowest note fingerings and blowing pressures had frequencies that were independent of the fingered note, as expected for true edge tones. Higher note fingerings showed the same edge-tone-like features at low blowing pressures, and, at slightly higher pressures, the onset of a whistle tone region that included combination tones from a possible second edge tone mode. Hysteresis at the high pressure end of the whistle tone region allowed the whistle tones to be switched on and off with momentary perturbations of window region air flow. These observations will be compared to previous measurements by others on isolated jet/edge systems and various alto recorders. Work supported by U.S. National Science Foundation grant PHY-2306035.

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Cite This Study

K. L. Saenger (2025) studied this question.

synapsesocial.com/papers/6a0567bca550a87e60a1fe79https://doi.org/10.1121/10.0041251
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