Z=pUcap Z equals the fraction with numerator p and denominator cap U end-fraction
To fine-tune an instrument without shifting a hole's location on the body, makers use undercutting. This involves flaring the internal exit of the tonehole where it meets the bore. Z=pUcap Z equals the fraction with numerator p
These models are not merely theoretical. They are actively used to: They are actively used to: To the casual
To the casual observer, a wind instrument is simply a tube with holes. Whether it is a rustic bamboo flute, a brass saxophone, or a complex bassoon, the mechanism appears rudimentary: cover a hole, the pipe gets longer; uncover it, the pipe gets shorter. But in his seminal work, Bart Hopkin reveals that this simplicity is an illusion. a brass saxophone
Designing a functional tonehole requires balancing tuning, ergonomics, and acoustic efficiency. Diameter vs. Location Placement