The Instrumentarium
Every instrument gets a graph connecting Hornbostel-Sachs taxonomy to acoustic physics: body geometry → resonant modes, string length → pitch, material composition → damping Q factor, and excitation method → timbre. We examine why an instrument is shaped this way and what that physical geometry makes possible acoustically.
The Instrumentarium
The 'Betts' Stradivari Violin
Chordophone / Bowed Necked Lute · Cremona, Italy (1704)
One of Antonio Stradivari's supreme golden-period violins, renowned for unmatched projection, rapid transient attack, and complex overtone reinforcement.
Acoustic Physics & Resonant Geometry
- ▸A0 Helmholtz resonance (~275 Hz, near C#4/D4)
- ▸B1- plate breathing mode (~460 Hz)
- ▸B1+ longitudinal dipole mode (~550 Hz)
Picea abies (Italian alpine spruce) top plate, Acer pseudoplatanus (flamed Balkan maple) back/ribs
Arched top and back plates (15 mm catenary rise) with carved C-bouts and F-holes (length 74 mm)
Continuous stick-slip friction via rosined horsehair bow generating Helmholtz corner wave
Rich harmonic overtone spectrum extending beyond 12 kHz, pronounced 'bridge hill' projection at 2.5–3.5 kHz
- Medieval Rebec→
- Renaissance Fiddle (Lira da Braccio)→
- Amati Classical School→
- Stradivari Golden Period→
- Modern Concert Setup
“Catenary plate arching curves and C-bout structural stress distribution shift plate eigenmodes away from wolf-tone dissonance into singing acoustic radiation.”