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+#X obj 426 644 block~;
+#X obj 19 349 +~ 1e-15;
+#X obj 19 598 *~;
+#X obj 52 598 tabreceive~ \$0-hann;
+#X obj 127 643 expr 2/(3*$f1);
+#X obj 591 563 loadbang;
+#X msg 591 589 \; pd dsp 1 \; window-size 2048 \; transpo 0 \; rewind
+bang;
+#X msg 426 619 set \$1 4;
+#X obj 97 425 q8_rsqrt~;
+#N canvas 139 105 1006 799 read-windows 0;
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+#X msg 17 523 \$1 \, \$2 \$3;
+#X obj 17 496 pack 0 0 0;
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+#X text 188 394 reading location (samples);
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+#X text 229 417 back up 1/2 window;
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+#X text 43 6 Read two windows out of the recorded sample \, one 1/4
+ahead of the other. The mid point of the front window is specified
+by "location". If "speed" is nonzero \, "location" automatically precesses.
+;
+#X obj 528 720 * -0.5;
+#X text 91 587 "back" window 1/4 cycle behind "front" one;
+#X text 137 205 computation period (msec) for overlap of 4;
+#X text 164 186 msec in a window;
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+#X obj 845 684 r auto;
+#X obj 730 685 r no-detune;
+#X msg 730 707 \; detune 0;
+#X text 326 275 loop to precess the location according;
+#X text 325 291 to the "speed" parameter.;
+#X text 611 31 if location changes \, update number box;
+#X text 610 50 in main window via "location-set" \, but;
+#X text 613 69 taking care to limit frequency of updates.;
+#X text 756 462 reflect control changes;
+#X text 756 479 in main window.;
+#X text 754 344 setting location by hand;
+#X text 752 362 sets speed to zero.;
+#X text 760 653 misc controls;
+#X text 496 527 "rewind" control takes us;
+#X text 499 545 to a location depending on;
+#X text 499 564 stretched window size.;
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+#X connect 80 0 81 0;
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+#X obj 137 543 tabsend~ prev-imag;
+#X obj 136 567 tabsend~ prev-real;
+#X obj 20 8 tabreceive~ prev-real;
+#X obj 73 29 tabreceive~ prev-imag;
+#X text 272 5 recall previous output amplitude. Its phase will be added
+to the phase difference we measure from two windows in the the recorded
+sound.;
+#X obj 121 69 *~;
+#X obj 89 69 *~;
+#X obj 89 91 +~;
+#X obj 159 94 q8_rsqrt~;
+#X obj 159 71 +~ 1e-20;
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+#X obj 181 290 r lock;
+#X obj 29 245 lrshift~ 1;
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+#X obj 141 245 lrshift~ 1;
+#X obj 133 269 lrshift~ -1;
+#X obj 35 300 *~;
+#X obj 159 312 *~;
+#X obj 19 325 +~;
+#X obj 125 331 +~;
+#X text 247 66 divide by the magnitude to make a unit-magnitude complex
+amplitude (phase only). The 1e-20 is to prevent overflows. q8_rsqrt~
+is reciprocal square root.;
+#X text 247 165 Take FT of the window in back. Multiply its conjugate
+by the normalized previous output. The result has the magnitude of
+the input sound and phase (previous output phase) minus (back window
+phase).;
+#X text 249 370 Normalize again \, this time taking care to salt each
+channel with 1e-15 so that we get a unit complex number even if everything
+was zero heretofore.;
+#X text 288 427 Now take the FT of the forward window and multiply
+it by the unit complex number from above. The magnitude will be that
+of the forward window and the phase will be the previous output phase
+plus the phase difference between the two analysis windows -- except
+that if "lock" is on \, they will be modified to agree progressively
+better with the inter-channel phase relationships of the input.;
+#X text 249 242 If "lock" is on \, encourage neighboring channels to
+stay in phase by adding the two neighboring complex amplitudes. The
+result will tend toward the channel with the strongest amplitude. If
+the phase relationships between channels in the output and those in
+the input are in parallel \, then neighboring channels of the quotient
+will all have the same phase and this will not change any phases. (lrshift
+shifts the signal to the left or right depending on its argument.)
+;
+#X text 387 560 'set' message to block;
+#X text 390 577 allows variable size;
+#X text 259 126 Read two windows \, one 1/4 length behind the other
+\, of the input sound \, with Hann window function (see inside).;
+#X connect 0 0 2 1;
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+#X coords 0 1000 4096 -1000 400 300 1;
+#X restore 169 326 graph;
+#N canvas 0 0 450 300 graph3 0;
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+#X coords 0 500 4096 -500 400 300 1;
+#X restore 170 17 graph;
+#X restore 440 504 pd phase-tables;
+#X obj 494 338 s transpo;
+#X text 164 364 hundredths;
+#X text 493 294 in cents;
+#X text 389 359 normal;
+#X obj 56 517 output~;
+#N canvas 0 110 565 454 hann-window 0;
+#N canvas 0 0 450 300 graph1 0;
+#X array \$0-hann 1024 float 0;
+#X coords 0 1 1023 0 300 100 1;
+#X restore 82 311 graph;
+#X obj 378 165 osc~;
+#X obj 378 190 *~ -0.5;
+#X obj 378 214 +~ 0.5;
+#X obj 331 247 tabwrite~ \$0-hann;
+#X obj 37 88 r window-size;
+#X obj 38 173 /;
+#X obj 127 142 samplerate~;
+#X obj 38 251 s window-sec;
+#X obj 177 204 swap;
+#X obj 177 228 /;
+#X obj 177 252 s window-hz;
+#X obj 49 201 * 1000;
+#X obj 49 228 s window-msec;
+#X obj 38 115 t f b f;
+#X msg 173 92 resize \$1;
+#X obj 173 116 s \$0-hann;
+#X obj 330 105 r window-hz;
+#X msg 382 130 0;
+#X obj 330 131 t f b;
+#X text 15 8 calculate Hann window table (variable window size) and
+constants window-hz (fundamental frequency of analysis) \, window-sec
+and window-msec (analysis window size in seconds and msec).;
+#X connect 1 0 2 0;
+#X connect 2 0 3 0;
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+#X restore 440 528 pd hann-window;
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+#X text 365 360 read a sample;
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+#X obj 29 70 hip~ 5;
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+#X obj 29 9 inlet;
+#X obj 91 46 samplerate~;
+#X obj 29 93 tabwrite~ \$0-sample;
+#X obj 91 70 s \$0-insamprate;
+#X msg 285 383 \; read-sample ../sound/voice.wav;
+#X obj 276 20 inlet;
+#X obj 276 42 openpanel;
+#X obj 276 67 s read-sample;
+#X connect 1 0 11 0;
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+#X connect 25 0 26 0;
+#X connect 26 0 27 0;
+#X restore 441 480 pd insample;
+#X floatatom 552 480 5 0 0 0 - #0-samp-msec -;
+#X msg 229 486 ../sound/bell.aiff;
+#X msg 229 511 ../sound/voice.wav;
+#X msg 229 536 ../sound/voice2.wav;
+#X obj 229 562 s read-sample;
+#X obj 441 439 bng 15 250 50 0 empty empty empty 0 -6 0 8 -262144 -1
+-1;
+#X text 460 438 <- record;
+#X obj 493 387 tgl 15 0 empty empty empty 0 -6 0 8 -262144 -1 -1 0
+1;
+#X obj 55 407 s location;
+#X obj 167 407 s speed;
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+-1;
+#X obj 262 408 s rewind;
+#X msg 345 336 200;
+#X msg 345 358 100;
+#X msg 345 380 20;
+#X text 386 335 contract;
+#X text 390 380 expand;
+#X obj 493 407 s lock;
+#X text 494 277 detune;
+#X text 55 330 location;
+#X text 52 346 (stops;
+#X text 57 361 motion);
+#X text 165 348 motion in;
+#X text 232 464 read input sound;
+#X text 103 7 PHASE VOCODER FOR TIME STETCHING AND CONTRACTION;
+#X text 604 479 length \, msec;
+#X floatatom 607 419 5 0 0 0 - window-size -;
+#X msg 607 307 512;
+#X msg 607 329 1024;
+#X msg 607 351 2048;
+#X msg 607 373 4096;
+#X obj 607 395 s window-size;
+#X text 607 274 window size \,;
+#X text 607 289 samples;
+#X text 648 306 <- set;
+#X text 100 306 ------- location controls -------;
+#X text 660 419 (check);
+#X obj 345 407 s auto;
+#X text 23 35 This patch takes a sound \, analyzes windows in it both
+for channel magnitude and for phase precession in each channel (compared
+to another operlapping window). The real-time output recreates the
+same magnitudes and phase precession \, althought the phases themselves
+are in general different. You can control either the location or its
+motion (setting location stops motion \, while setting a non-zero motion
+causes the location to change automatically). "Rewind" goes back to
+the beginning. You can use different window sizes (use the message
+boxes - the number box is for readout). The "lock" feature forces phase
+coherency between neighboring channels \, which makes a more present
+sound but can add artifacts to the sound. Look in "pd fft-analysis"
+to see the workings.;
+#X text 483 568 updated for Pd version 0.39;
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+-1 -1;
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+#X text 466 458 file ->;
+#X connect 0 0 5 0;
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