#N canvas 506 40 681 665 12;
#X declare -stdpath ./;
#X floatatom 133 98 5 0 0 0 - - - 0;
#X obj 133 124 mtof;
#X obj 34 359 output~;
#X msg 133 72 60;
#X obj 91 190 osc~;
#X obj 133 166 * 2;
#X obj 133 190 osc~;
#X obj 197 190 osc~;
#X obj 197 166 * 3;
#X obj 261 190 osc~;
#X obj 261 166 * 4;
#X obj 197 215 *~ 0.2;
#X obj 92 325 +~;
#X obj 133 295 *~;
#X obj 168 296 tgl 19 0 empty empty empty 0 -6 0 8 #dfdfdf #000000 #000000 0 1;
#X obj 133 246 +~;
#X obj 133 270 +~;
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#X array tab.01.07 882 float 0;
#X coords 0 1.02 881 -1.02 200 130 1;
#X restore 417 261 graph;
#X text 320 165 frequencies of harmonics;
#X text 320 189 four oscillators;
#X text 324 214 adjust amplitudes;
#X text 168 269 add the three overtones together;
#X obj 138 360 tabwrite~ tab.01.07;
#X text 439 399 ---- 0.02 seconds ----;
#X obj 133 215 *~ 0.1;
#X obj 261 215 *~ 0.5;
#X text 70 578 To hear the output \, choose a pitch (at top) \, optionally click the "overtones" control \, and mouse up the output volume. Click the "bang" message to graph it., f 76;
#X text 70 442 A simple way to build non-sinusoidal \, periodic musical tones is to sum a series of harmonically tuned sinusoids. Here the four oscillators have frequencies in a 1:2:3:4 ratio (the three "*" objects compute the second \, third \, and fourth one). The amplitudes are adjusted by the "*~ 0.1" \, etc. \, objects. Note that \, since the frequency (from the "mtof") is a message \, a "*" box suffices to operate on it \, but the oscillator's output \, being an audio signal \, needs "*~" instead. The control marked "overtones ON/OFF" is a toggle switch. Click to turn it on and off. Of the overtones are "off" you hear only a sinusoid from the first oscillator. If on \, you hear all four., f 76;
#X text 77 9 ADDING SINUSOIDS TO MAKE A COMPLEX TONE;
#X obj 489 56 declare -stdpath ./;
#X obj 138 330 bng 19 250 50 0 empty empty empty 17 7 0 10 #dfdfdf #000000 #000000;
#X text 163 330 <-- click to graph;
#X text 188 295 <-- overtones ON/OFF;
#X text 169 72 <-- reset to middle C;
#X obj 133 44 loadbang;
#X text 176 99 <-- choose a different pitch;
#X text 431 630 updated for Pd version 0.4;
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