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Vibrating String Modes
Pluck position:
0.33
Pluck amplitude:
1.0
Damping:
0.002
N harmonics:
20
Fixed-Fixed (Guitar)
Fixed-Free (Clarinet)
Pluck String
Pluck at x/L =
0.33
Harmonics:
1:1
Dominant harmonic:
—
Timbre:
—
d'Alembert: y(x,t)=Σ Aₙ sin(nπx/L)cos(nωt). Fixed-fixed: all harmonics (guitar). Fixed-free: odd only 1,3,5… (clarinet). Pluck at 1/3 cancels 3rd harmonic.