Instrument Design — Air Columns And Toneholes- Principles For Wind

that bridges the gap between acoustical theory and the practical craft of making wind instruments. Bart Hopkin Originally published in 1999 by Tai Hei Shakuhachi

A tonehole's size is critical. A hole equal to the diameter of the bore acts like a clean "cut" of the pipe. Smaller holes, however, don't fully "shorten" the column; they create a transition where the standing wave extends slightly past the hole. This is why smaller holes require more precise placement and can darken the instrument's tone. that bridges the gap between acoustical theory and

: The pitch and timbre of a note are not just determined by the first open hole but by the positions and sizes of all holes, both open and closed. Practical Resources Smaller holes, however, don't fully "shorten" the column;

in 1993 and revised in 1999, the 42-page manual condenses complex physics into a "nuts-and-bolts" guide for instrument designers. Bart Hopkin Core Technical Sections Practical Resources in 1993 and revised in 1999,

A perfectly cylindrical bore (like a clarinet) produces a strong fundamental but struggles with tuning across registers. Conical bores (saxophone, oboe) produce more even tuning but require complex hole placement.