/usr/share/puredata/doc/3.audio.examples/F08.two.cosines.pd is in puredata-doc 0.47.1-3.
This file is owned by root:root, with mode 0o644.
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#X obj 157 408 cos~;
#X floatatom 204 198 4 0 100 0 - - -;
#X obj 204 222 / 10;
#X text 461 275 --- 0.02 seconds ---;
#X obj 157 378 *~;
#X obj 204 294 line~;
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#X array F08-carrier 882 float 0;
#X coords 0 2 881 -2 200 140 1;
#X restore 447 123 graph;
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#X text 53 251 fundamental;
#X text 53 270 frequency;
#X obj 199 408 cos~;
#X obj 240 321 wrap~;
#X obj 204 348 -~;
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#X obj 204 445 -~;
#X obj 219 475 *~;
#X obj 197 500 +~;
#X obj 204 270 pack 0 50;
#X text 254 408 synthesize the two partials;
#X text 447 590 updated for Pd version 0.37;
#X obj 198 526 hip~;
#X obj 199 552 output~;
#X text 26 29 The other \, spiffier way is to make a sum of cosines
to interpolate between adjacent harmonics. Suppose for example we want
a center frequency of 5.3 (in units of the fundamental.) We just take
partial 5 with amplitude 0.7 and partial 6 with amplitude 0.3:;
#X obj 286 552 tabwrite~ F08-carrier;
#X text 316 528 <-graph;
#X obj 284 527 bng 18 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
-1;
#X obj 57 319 phasor~ 100;
#X text 83 149 center frequency (in;
#X text 82 169 tenths of fundamental);
#X text 125 3 MOVABLE CENTER FREQUENCY BY ADDING TWO COSINES;
#X text 295 320 the fractional part "q";
#X text 253 347 subtract to get the integer part "k";
#X text 249 380 multiply phase by k and k+1;
#X text 252 444 c2 - c1;
#X text 267 473 q * (c2 - c1);
#X text 236 500 q * c2 + (1-q) * c1;
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