Air Columns And Toneholes- Principles For Wind Instrument Design Direct

Explains how these shapes dictate fundamental pitch and the resulting , which defines the instrument's unique timbre. Tonehole Design and Placement:

The clarinet overblows a 12th (×3 frequency) because the third harmonic is the first overtone present. The flute and saxophone overblow an octave (×2). Any cylindrical bore with a reed (like a hypothetical clarinet with a reed at both ends) would behave like an open-open tube—but that doesn't exist in nature. Explains how these shapes dictate fundamental pitch and

The internal shape of an instrument, known as the bore, dictates the fundamental frequency and the harmonic series it supports. known as the bore

where (a) is the hole radius and (b) is the tube radius. Larger holes produce stronger end corrections but are harder to cover with fingers. Explains how these shapes dictate fundamental pitch and