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-#N canvas 83 89 793 595 12;
-#N canvas 0 0 450 300 graph1 0;
-#X array F05-signal 882 float 0;
-#X coords 0 1 882 -1 200 130 1;
-#X restore 554 218 graph;
-#N canvas 0 0 450 300 graph1 0;
-#X array F05-spectrum 256 float 0;
-#X coords 0 0.51 255 -0.008 256 130 1;
-#X restore 499 22 graph;
-#X text 552 349 ---- 0.02 seconds ----;
-#X text 507 563 updated for Pd version 0.37;
-#X text 495 155 0;
-#X text 534 174 -- partial number --;
-#X text 761 142 0;
-#X text 758 19 0.5;
-#X floatatom 51 61 0 0 100 0 - - -;
-#N canvas 329 22 680 421 pulse-train 0;
-#X obj 184 348 line~;
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-#X obj 184 324 pack 0 50;
-#X obj 39 245 -~ 0.5;
-#X obj 39 269 *~;
-#X obj 184 252 / 10;
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-#X obj 184 372 +~ 1;
-#X obj 39 341 +~ 1;
-#X obj 184 228 inlet;
-#X obj 39 389 outlet~;
-#X obj 39 365 *~ 0.5;
-#X text 53 5 This is a modified version of the pulse train generator
-from two examples back.;
-#X text 107 140 We have to add 1/2 and wrap so that the center of the
-pulse comes at phase zero (previously it was 1/2 cycle out of phase).
-This wasn't a problem before but now we have to be in phase with the
-oscillator we're multpplying with.;
-#X text 276 262 otherwise it's the same as before.;
-#X obj 40 85 phasor~;
-#X obj 40 58 r freq;
-#X connect 0 0 9 0;
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-#X connect 17 0 3 0;
-#X connect 18 0 17 0;
-#X restore 51 86 pd pulse-train;
-#X text 83 61 <-- bandwidth;
-#X obj 51 219 *~;
-#X text 113 123 <-- modulation frequency as;
-#X text 152 137 multiple of fundamental;
-#X obj 51 277 output~;
-#X obj 50 246 hip~;
-#N canvas 122 211 563 534 fft 0;
-#X obj 19 61 inlet~;
-#X obj 208 212 inlet;
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-#X obj 29 155 sqrt~;
-#X obj 332 109 block~ 4096 1;
-#X obj 29 181 biquad~ 0 0 0 0 1;
-#X text 93 93 Fourier series;
-#X text 98 146 magnitude;
-#X text 96 131 calculate;
-#X text 21 3 This subpatch computes the spectrum of the incoming signal
-with a (rectangular windowed) FFT. FFTs aren't properly introduced
-until much later.;
-#X text 83 61 signal to analyze;
-#X text 193 164 delay two samples;
-#X text 191 182 for better graphing;
-#X obj 264 434 samplerate~;
-#X obj 245 262 metro 500;
-#X obj 245 233 inlet;
-#X text 298 231 toggle to graph repeatedly;
-#X text 262 212 bang to graph once;
-#X obj 29 205 /~ 4096;
-#X obj 264 409 bang~;
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-#X obj 264 457 / 256;
-#X obj 19 295 tabwrite~ F05-signal;
-#X obj 245 294 tabwrite~ F05-spectrum;
-#X msg 224 321 \; pd dsp 1;
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-#X text 179 244 <-- repeatedly;
-#X text 180 224 <-- graph once;
-#X text 527 155 2;
-#X text 559 155 4;
-#X text 591 155 6;
-#X text 623 155 8;
-#X text 656 155 10;
-#X text 688 155 12;
-#X text 719 155 14;
-#X text 759 213 1;
-#X text 759 337 -1;
-#X text 122 185 modulating oscillator;
-#X text 153 6 RING MODULATED PULSE TRAINS;
-#X text 23 357 Now we take a pulse train and ring modulate it \, which
-effectively aliases the spectrum so that it is centered at any desired
-partial number. The "bandwidth" control still affects the shape of
-the peak \, independently of where it is centered. This generates a
-formant centered at the given partial.;
-#X floatatom 73 123 0 0 100 0 - - -;
-#X obj 73 182 osc~;
-#X obj 73 157 *;
-#X obj 107 157 r freq;
-#X text 23 457 This patch is limited to making formants centered on
-harmonics. The center frequency thus can't be moved smoothly up and
-down at will (try shift-clicking on modulation frequency to make fractions).
-Next we'll look at two techniques for sliding a formant frequency without
-losing harmonicity.;
-#X text 184 85 <-- pulse train;
-#X text 220 101 generator from before;
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