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+#X text 437 472 updated for Pd version 0.37;
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+#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;
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+#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.;
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+#X text 262 212 bang to graph once;
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+#X text 72 536 set carrier multiplier and modulation multipliers after
+fundamental;
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+#X text 434 268 -- partial number --;
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+#X text 43 3 SPECTRUM OF COMPLEX PHASE MODULATION;
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+#X text 126 349 Now we introduce a second modulator oscillator. The
+carrier is on the 8th harmonic and the two modulators are at 2 and
+3 times the fundamental. When either index of modulation is zero \,
+changing the other index gives the familiar 2-operator FM result. But
+if index2 is nonzero (try around 10 \, for example) then sliding index1
+upward from 0 introduces sidebands around each of the sidebands.;
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