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#X obj 106 406 clip~ -0.5 0.5;
#X text 372 296 bandwidth;
#X obj 374 407 +~ 1;
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#X text 563 558 --- 0.02 seconds ---;
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#X msg 563 121 \; pd dsp 1;
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#X text 51 16 WINDOWED PACKETS;
#X text 54 470 window;
#X text 282 440 magnified phase;
#X text 37 47 The simpler of two techniques for making slidable center frequencies is to synthesize enveloped sinusoidal wave packets. The packets should repeat at the fundamental frequency \, but the frequency of the packet itself controls the center frequency of the formant. The length of the packet varies inversely with bandwidth., f 68;
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#X text 571 623 updated for Pd version 0.37;
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#X text 38 135 In the patch below \, the "clip~" followed by "cos~" and "+~ 1" is the enveloping ("windowing") function \, which appears in the top graph. The carrier \, on the other hand \, is a broken sinusoid made by amplifying the phasor~ (the "*~" controlled by "center freq.") and taking the cos~ of the result. The "breaks" in the sinusoid only occur when the enveloping signal is zero., f 68;
#X text 54 441 raised;
#X text 54 456 cosine;
#X text 150 242 fundamental frequency, f 11;
#X text 307 476 desired center frequency but its phase is reset each fundamental period., f 24;
#X text 253 253 center freq. (in tenths of fundamental), f 13;
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#X text 287 527 <-- graph;
#X text 286 463 <-- this cosine goes at the;
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