Air Columns And Toneholes- Principles For Wind Instrument Design _verified_ -
Air Columns and Toneholes — Principles for Wind Instrument Design
3. The Left Hand vs. Right Hand Problem
: Explains the behavior of air as it reflects and interferes within different enclosures to create resonance. Tonehole Theory Sizing and Placement
- Define target acoustic goals: range, harmonicity (odd/even content), timbre, loudness, ergonomics.
- Choose basic bore type (cylindrical vs. conical), approximate bore diameter profile, and bell/flare plan.
- Place toneholes at approximate acoustic lengths for each desired pitch using v/2L or v/4L formulas and corrections for end effects.
- Select hole diameters guided by desired radiation, tuning, and ergonomic constraints.
- Model with transmission-line / lumped-element approach to predict input impedance peaks.
- Iterate hole sizes/positions and chimney heights to align impedance peaks to target frequencies and desired relative peak magnitudes.
- Build prototype and measure input impedance and radiated spectrum; adjust by reboring, changing hole sizes, or modifying chimneys.
- Voice and play-test with real players; finalize pad materials, keywork, and voicing.







