🪈 DAY 2026-09-15 • PHYSICAL MODELING SYNTHESIS

A Flute: Custom Woodwind Simulator

Adjust physical tube length, bore diameter, wall thickness, and curvature to simulate real-world woodwind acoustics and procedural Web Audio synthesis.

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ACOUSTIC PRESETS Select real-world instrument archetype:

523.2 Hz REGISTER 1 (FUNDAMENTAL)

Acoustic Length: 42.5 cm • End Correction: +1.8 cm

SILENT / REST

BLOW FORCE:

Whisper Normal (1.0x) Overblow

TONE HOLE FINGERING MATRIX Toggle keys to shorten/lengthen acoustic air column

Acoustic Geometry Parameters

PHYSICAL DIMENSIONS

📏 Tube Length (L) Controls fundamental wavelength & base pitch 67.0 cm

25 cm (Piccolo High) 67 cm (Concert C) 120 cm (Contrabass)

🕳️ Bore Diameter (D) Acoustic impedance, high overtone damping & cutoff 19.0 mm

10 mm (Bright, Narrow) 19 mm (Standard) 36 mm (Deep, Breathy)

🛡️ Wall Thickness (T) Tone hole chimney inertia & structural damping 1.2 mm

0.5 mm (Thin Metal) 1.2 mm (Silver Flute) 5.0 mm (Carved Hardwood)

🌀 Curviness / Bend (θ) Acoustic wave boundary dispersion & J-headjoint 0° (Straight)

0° (Straight Cylinder) 75° (J-Headjoint Flute) 150° (Serpent S-Curve)

🪵 Tube Material / Shell

💨 Breath Velocity 1.0x

equalizer Harmonic Spectrum Analyzer FFT 2048

0 Hz ──── 5 kHz

OSCILLOSCOPE WAVEFORM

HARMONIC 1 -- Hz

HARMONIC 2 -- Hz

HARMONIC 3 -- Hz

science Acoustics Dossier v = 343.2 m/s

Acoustic Pipe Type: Open-Open Cylinder

Effective Length (L_eff): 42.5 cm

End Correction (ΔL): +1.8 cm

Lattice Cutoff (f_c): 3,250 Hz

Resonant Q Factor: 28.4

Overblowing State: Fundamental

💡 Acoustic Insight: Woodwind fundamental pitch obeys f = v / (2 · L_eff). Opening tone holes shortens the vibrating air column, while wide bores increase boundary turbulence and attenuate upper harmonics.