Assignment 2
As in real life, lengthening the string lowers the pitch.
giving a scalar for the r parameter creates a 3-point inverting FIR lowpass filter at the bridge:
![[\frac{-1}{r+2}, \frac{-r}{r+2}, \frac{-1}{r+2}]](/local--math/inline/4a16cd37875c72c37cb3b43fd15454c8.png)
r=1 makes a 3-point moving-average lowpass filter, leading to a quick decay. As r gets large, the 2 side points become less significant, and the filter looks more and more like an impulse, lessening the damping effect. As r gets close to zero, the filter starts letting more high-frequency energy through.
All the spectrograms are with 2048 point windows with 100,000 samples sampled at 44100 Hz, and a waveguide length of 100 samples.
