Stationary Standing Wave Decomposition
A4 Reference Pitch (440 Hz Centered) with Incident and Reflected Waves.
1. Boundaries & Geometry
Left End Boundary:
Closed (Fixed Node)
Open (Free Antinode)
Right End Boundary:
Closed (Fixed Node)
Open (Free Antinode)
Length L (m):
Fundamental Wavelength λ₁ (m):
⚡ L, λ₁, v, and f₁ remain strictly linked by wave mechanics.
2. String Medium & Wave Speed
Tension T (N):
Linear Density μ (kg/m):
Calculated Velocity v = √(T/μ) (m/s):
3. Fundamental Frequency & View
Fundamental Frequency f₁ (Hz):
View Zoom Scale:
1.00x
Reset View & Pan
Top View: 1st Harmonic (Fundamental Mode / 0th Overtone)
Incident (Left→Right)
Reflected (Right→Left)
Node (N)
Antinode (AN)
Velocity Equation
v = √(T / μ) = 440.00 m/s
1st Harmonic Formula (
Closed - Open
)
L = λ / 4 ⇒ λ₁ = 4L
Selected Mode (
3rd Harmonic / 1st Overtone
)
λₙ = 0.333 m | fₙ = 1320.0 Hz
Overtone Mode Selector
3rd Harmonic (1st Overtone)
Shows Mode Index n and corresponding n-1 Overtone designation.
Bottom View: 3rd Harmonic (1st Overtone)
Incident (Left→Right)
Reflected (Right→Left)
Node (N)
Antinode (AN)