Air Columns And Toneholes- Principles — For Wind Instrument Design 2021

Leffective=Lphysical+ΔLcap L sub e f f e c t i v e end-sub equals cap L sub p h y s i c a l end-sub plus cap delta cap L The exact value of

). In clarinets (stopped at one end by a reed), they primarily produce odd harmonics ( ), giving them their unique "woody" timbre. Conical Bores Leffective=Lphysical+ΔLcap L sub e f f e c

Air Columns and Toneholes: Principles for Wind Instrument Design In flutes (open at both ends), they produce

(e.g., flutes, clarinets): These maintain a constant diameter. In flutes (open at both ends), they produce a full harmonic series ( An instrument tuned in equal temperament is a

Toneholes are small openings in the instrument that allow the player to modify the air column and produce different pitches. When a tonehole is covered, the air column is effectively lengthened, producing a lower pitch. When a tonehole is opened, the air column is shortened, producing a higher pitch.

An instrument tuned in equal temperament is a series of compromises. Each tonehole must be sized and positioned so that:

The boundary conditions at the ends define the harmonic series: