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[ A(t) = \max(0, 1 - (t / T_\textstop)^1.5) ]
[ v(t) = v_0 \cdot e^-t/\tau + \textnoise_\textflutter(t) ]
With ( f_r \approx 3-7 ) Hz (motor cogging), ( \tau_r = 50 ) ms. The dBlue Tapestop is implemented as a VST3/AU plugin using JUCE. Key parameters:
| Parameter | Range | Description | |-----------|-------|-------------| | Inertia (τ) | 20–300 ms | How quickly the tape slows | | Flutter amount | 0–100% | Random speed wobble during stop | | Stop resonance | 0–100% | Amplitude of post-stop motor noise | | Retrigger mode | Off/On | Reset or continue from current playhead | | Sync to tempo | 1/2, 1/4, 1/8 notes | Automatic tape stop length quantization |
Where ( T_\textstop ) is the time when ( v(t) < 0.01 ). After ( v(t) < \epsilon ), a synthetic resonance signal is added:
[ r(t) = \sin(2\pi f_r t) \cdot e^-t/\tau_r \cdot \textrand(t) ]