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-#X restore 531 41 graph;
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-#X restore 485 226 graph;
-#X text 134 243 <-- click to graph;
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-#X obj 19 62 inlet~;
-#X obj 85 214 inlet;
-#X obj 19 92 rfft~;
-#X obj 19 125 *~;
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-#X obj 19 155 sqrt~;
-#X obj 85 248 tabwrite~ E01-spectrum;
-#X obj 332 109 block~ 4096 1;
-#X obj 19 181 biquad~ 0 0 0 0 1;
-#X text 83 93 Fourier series;
-#X text 88 146 magnitude;
-#X text 86 131 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 62 signal to analyze;
-#X text 182 166 delay two samples;
-#X text 181 182 for better graphing;
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-#X obj 98 494 s fundamental;
-#X obj 90 517 ftom;
-#X text 146 540 <-just out of curiosity \, here's the pitch;
-#X text 14 319 At load time \, calculate a good choice of fundamental
-frequency for showing spectra: the 16th bin in a 4096-point spectrum
-\, so SR*16/4096 or SR/256.;
-#X text 135 216 "bang" into this inlet to graph it;
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-#X text 531 173 ---- 0.02 seconds ----;
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-#X text 523 800 updated for Pd version 0.37;
-#X text 516 359 1;
-#X text 550 359 2;
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-#X text 614 359 4;
-#X text 647 359 5;
-#X text 677 359 6;
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-#X text 484 359 0;
-#X text 520 378 -- partial number --;
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-#X text 303 136 <-- On/Off;
-#X text 337 152 for each;
-#X text 339 168 partial;
-#X text 595 11 WAVEFORM;
-#X text 578 204 SPECTRUM;
-#X text 25 415 The next series of patches demonstrates various kinds
-of modulation: AM \, waveshaping \, and FM. We will need a tool for
-graphing spectra which is introduced here. In this patch the signal
-to be analyzed is a simple sum of up to six partials of a fundamental
-frequency (which is 172 Hz \, close to F below middle C \, if your
-sample rate happens to be 44100 Hz. The fundamental is chosen to agree
-with the analysis patch ("pd FFT") and is computed within it).;
-#X text 25 546 The partials are numbered 0 through 5 \, where 0 means
-DC \, or zero frequency \, 1 is the fundamental \, and so on. The toggle
-switches allow you to turn them on and off separately. You have to
-press the "click to graph" button to update the two graphs.;
-#X text 745 344 0;
-#X text 743 223 1;
-#X text 744 282 0.5;
-#X text 26 631 The upper graph is just the (time domain) waveform \,
-about four periods long. The lower graph is the magnitude spectrum.
-Its peaks are the magnitudes of the partials. Note that a DC signal
-of amplitude one is considered a partial of magnitude 1 \, but the
-other partials \, which have peak amplitudes of 1 (and RMS 0.707) \,
-have peak magnitudes of only 0.5 in the spectrum.;
-#X obj 41 222 *~ 1;
-#X text 733 37 5;
-#X text 734 157 -5;
-#X text 81 221 sum;
-#X text 96 5 GRAPHING SPECTRA OF AUDIO SIGNALS;
-#X text 24 742 Here we're introducing a new feature: multiple signals
-connected to a signal inlet (as in the "*~ 1") are added. This is the
-most convenient way to sum the six partials.;
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