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+#X text 671 499 frequency;
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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 594 182 5;
+#X text 611 492 0;
+#X text 599 423 1;
+#X text 596 596 updated for Pd version 0.39;
+#X text 183 10 PEAKING FILTER;
+#X floatatom 406 366 3 0 180 0 - #0-pole -;
+#X text 415 328 angle;
+#X text 399 344 (degrees);
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+#X text 266 332 pole and zero;
+#X text 284 347 radii (%);
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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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