#N canvas 78 60 1163 674 16; #X text 8 7 How do we represent sound digitally?; #X text 8 89 How can we represent sound as a finite collection of numbers that can be stored efficiently \, in a finite amount of space \, on a computer \, and played back and manipulated at will?; #X obj 583 139 gemhead; #X obj 584 280 pix_draw; #X obj 584 255 translateXYZ; #X obj 696 8 cnv 15 220 70 empty empty empty 20 12 0 14 -195568 -66577 0; #N canvas 361 321 454 304 gemwin 1; #X obj 132 136 gemwin; #X obj 67 89 outlet; #X obj 67 10 inlet; #X obj 67 41 route create; #X msg 67 70 set destroy; #X msg 182 68 set create; #X msg 132 112 create \, 1; #X msg 238 112 destroy; #N canvas 87 154 247 179 Gem.init 0; #X obj 118 46 loadbang; #X msg 118 81 reset; #X obj 118 113 outlet; #X connect 0 0 1 0; #X connect 1 0 2 0; #X restore 289 80 pd Gem.init; #X msg 190 10 dimen 600 400; #X connect 2 0 3 0; #X connect 3 0 4 0; #X connect 3 0 6 0; #X connect 3 0 9 0; #X connect 3 1 5 0; #X connect 3 1 7 0; #X connect 4 0 1 0; #X connect 5 0 1 0; #X connect 6 0 0 0; #X connect 7 0 0 0; #X connect 8 0 0 0; #X connect 9 0 0 0; #X restore 696 50 pd gemwin; #X msg 696 25 destroy; #X text 696 4 Create window and render; #X floatatom 669 207 0 0 0 0 - - -; #X obj 669 232 / 100; #X floatatom 618 207 0 0 0 0 - - -; #X obj 618 232 / 100; #X obj 583 164 pix_image mystery.time.jpg; #X obj 583 122 tgl 15 0 empty empty empty 17 7 0 10 -262144 -1 -1 0 1; #X obj 860 139 gemhead; #X obj 861 280 pix_draw; #X obj 861 255 translateXYZ; #X floatatom 946 207 0 0 0 0 - - -; #X obj 946 232 / 100; #X floatatom 895 207 0 0 0 0 - - -; #X obj 895 232 / 100; #X obj 860 122 tgl 15 0 empty empty empty 17 7 0 10 -262144 -1 -1 1 1; #X obj 860 164 pix_image mystery.freq.jpg; #X text 40 370 Time Domain Time-domain representations show us a lot about the amplitude of a signal at different points in time. Amplitude is a word that means \, more or less \, "how much of something \, " and in this case it might represent pressure \, voltage \, some number that measures those things \, or even the in-out deformation of the eardrum.; #X text 582 366 Frequency Domain Distinguishing between sounds is one place where the frequency domain comes in. Figure is a frequency/amplitude/time plot of the same sound as the time-domain picture in. This new kind of sound-image is called a sonogram. Time still goes from left to right along the x-axis \, but now the y-axis is frequency \, not amplitude. Amplitude is encoded in the intensity of a point on the image: the darker the point \, the more energy present at that frequency at around that time.; #X text 46 531 000_03MUSIC_time-domain-sampling; #X text 47 554 Music examples; #X connect 2 0 13 0; #X connect 4 0 3 0; #X connect 6 0 7 0; #X connect 7 0 6 0; #X connect 9 0 10 0; #X connect 10 0 4 2; #X connect 11 0 12 0; #X connect 12 0 4 1; #X connect 13 0 4 0; #X connect 14 0 2 0; #X connect 15 0 23 0; #X connect 17 0 16 0; #X connect 18 0 19 0; #X connect 19 0 17 2; #X connect 20 0 21 0; #X connect 21 0 17 1; #X connect 22 0 15 0; #X connect 23 0 17 0;