/usr/share/puredata/doc/3.audio.examples/H12.peaking.pd is in puredata-doc 0.47.1-3.
This file is owned by root:root, with mode 0o644.
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#X text 35 195 This subpatch loads initial;
#X text 31 219 values in number boxes.;
#X msg 22 91 \; \$1-pole 60 \; \$1-zero 20;
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#X text 554 481 gain=0;
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#X text 596 596 updated for Pd version 0.39;
#X text 183 10 PEAKING FILTER;
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#X text 415 328 angle;
#X text 399 344 (degrees);
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#X text 266 332 pole and zero;
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#X text 21 34 To get a peaking filter \, start with a shelving filter
but rotate the pole and zero to the point on the unit circle you want
to amplify or attenuate. The rpole~ and rzero~ filters are replaced
with their complex-valued siblings \, cpole~ and czero~. These filters
take a (real \, imaginary) pair to filter and another (real-imaginary)
pair to specify the pole or zero. As for rpole~ and rzero~ \, the coefficients
may change at audio rate.;
#X text 22 162 The outputs of cpole~ and czero~ are also in the form
of a (real-imaginary) pair. Both outlets of cpole~ are connected to
czero~ in this example \, but then since we want a real-valued filter
\, we only take the real part of the (complex) output of czero~.;
#X text 23 246 Here the pole and zero radii (p and q) control the center-frequency
gain by the formula (1-q)/(1-p). The closer to 1 the radii \, the narrower
the band affected. The non-peak gain \, (1+q)/(1+p) \, is close to
1 as long as p and q are at least 50% or so.;
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