1 00:00:04,400 --> 00:00:07,760 Speaker 1: Welcome to text Stuff, a production from my Heart Radio. 2 00:00:12,160 --> 00:00:14,960 Speaker 1: Hey there, and welcome to tech Stuff. I'm your host, 3 00:00:15,120 --> 00:00:18,560 Speaker 1: Jonathan Strickland. I'm an executive producer with I Heart Radio, 4 00:00:18,680 --> 00:00:22,360 Speaker 1: and I love all things tech. And here's a really 5 00:00:22,400 --> 00:00:28,680 Speaker 1: cool thing about technology. Technology is the proof that science works. 6 00:00:29,160 --> 00:00:31,360 Speaker 1: So you can think of technology is sort of the 7 00:00:31,400 --> 00:00:35,800 Speaker 1: physical manifestation of our understanding of science. And as we 8 00:00:35,920 --> 00:00:39,120 Speaker 1: learn more about how our universe works, we can build 9 00:00:39,159 --> 00:00:43,040 Speaker 1: stuff that leverages what we've learned. We can even leverage 10 00:00:43,040 --> 00:00:47,040 Speaker 1: how the universe works without having a full understanding of 11 00:00:47,040 --> 00:00:50,960 Speaker 1: the scientific principles. Though in general, the better we understand 12 00:00:50,960 --> 00:00:54,680 Speaker 1: those principles, the better technology we can make. And one 13 00:00:54,760 --> 00:00:58,360 Speaker 1: subset of technology that I think really illustrates this well 14 00:00:59,040 --> 00:01:02,560 Speaker 1: is musical instrument and so in this episode and in 15 00:01:02,600 --> 00:01:05,920 Speaker 1: the next episode, I'll talk about the science behind music 16 00:01:06,000 --> 00:01:09,720 Speaker 1: without getting too deep into musical theory that's its own thing, 17 00:01:10,400 --> 00:01:14,880 Speaker 1: and how musical instruments are an example of physics and action. Now, 18 00:01:14,959 --> 00:01:18,640 Speaker 1: in the past, I've done episodes on stuff like synthesizers 19 00:01:18,680 --> 00:01:22,200 Speaker 1: and electric guitars and pickups and amplifiers, you know, describing 20 00:01:22,240 --> 00:01:26,880 Speaker 1: how electronics gave musicians new ways to make sounds, including 21 00:01:26,880 --> 00:01:30,280 Speaker 1: sounds that have never been created before. But honestly, the 22 00:01:30,480 --> 00:01:34,360 Speaker 1: entire history of musical instruments kind of follows that path. 23 00:01:34,959 --> 00:01:37,759 Speaker 1: It's just that some of those instruments are the kind 24 00:01:37,800 --> 00:01:40,600 Speaker 1: that you plug in or that you connect to amplifiers 25 00:01:40,680 --> 00:01:44,280 Speaker 1: or whatever, and some aren't. But they all relate back 26 00:01:44,319 --> 00:01:47,920 Speaker 1: to science in some way or another. Music marries the 27 00:01:48,000 --> 00:01:51,520 Speaker 1: scientific with the creative, and it's one of the manifestations 28 00:01:51,520 --> 00:01:54,920 Speaker 1: of ingenuity that I really love. Case in point, the 29 00:01:55,000 --> 00:01:58,280 Speaker 1: inspiration for today's episode came out of something I was 30 00:01:58,520 --> 00:02:02,840 Speaker 1: genuinely curious about out myself. See, I'm not a musician 31 00:02:03,040 --> 00:02:06,280 Speaker 1: by any stretch of the imagination. Though I do own 32 00:02:06,440 --> 00:02:10,280 Speaker 1: a few musical instruments, I was never in band or 33 00:02:10,400 --> 00:02:13,760 Speaker 1: orchestra or anything like that. So I was sitting there thinking, 34 00:02:14,520 --> 00:02:17,600 Speaker 1: how the heck does a trumpet work? And I researched it, 35 00:02:17,639 --> 00:02:19,280 Speaker 1: and then I thought, you know, I should do a 36 00:02:19,320 --> 00:02:22,560 Speaker 1: tech stuff episode on this. But then I kept going 37 00:02:22,560 --> 00:02:25,120 Speaker 1: down the rabbit hole and decided to do something a 38 00:02:25,200 --> 00:02:28,400 Speaker 1: little more ambitious than how a trumpet works. So in 39 00:02:28,440 --> 00:02:32,239 Speaker 1: today's episode, I'm going to talk more generally about music 40 00:02:32,280 --> 00:02:36,040 Speaker 1: instruments and how they work. By explaining the physics behind 41 00:02:36,320 --> 00:02:38,920 Speaker 1: the art of music, because when you get down to it, 42 00:02:39,160 --> 00:02:42,040 Speaker 1: a musical instrument is really just taking what we understand 43 00:02:42,040 --> 00:02:45,760 Speaker 1: about physics, building a real world object based on that understanding, 44 00:02:45,880 --> 00:02:48,160 Speaker 1: and then putting it to use to make something beautiful 45 00:02:48,520 --> 00:02:53,600 Speaker 1: or interesting, or, in my case, terrible. To understand all this, 46 00:02:53,880 --> 00:02:57,240 Speaker 1: it's best to start with a scientific breakdown of the 47 00:02:57,280 --> 00:03:02,520 Speaker 1: phenomenon of sound. And there's an old philosophical question that says, 48 00:03:02,880 --> 00:03:05,960 Speaker 1: if a tree falls in the forest and nobody is 49 00:03:06,000 --> 00:03:09,200 Speaker 1: around to hear it, does it make a sound? Now, 50 00:03:09,280 --> 00:03:12,680 Speaker 1: one point of this question could be to say, if 51 00:03:12,720 --> 00:03:16,240 Speaker 1: there's no way to observe something happening, can we really 52 00:03:16,280 --> 00:03:20,720 Speaker 1: be sure that it actually happened, particularly something as ephemeral 53 00:03:20,760 --> 00:03:23,440 Speaker 1: as sound, So if no one was there to observe it, 54 00:03:23,520 --> 00:03:28,200 Speaker 1: can we say for sure that something observable happened. But 55 00:03:28,280 --> 00:03:30,600 Speaker 1: another way that we could look at the same question 56 00:03:30,800 --> 00:03:33,919 Speaker 1: is to say, is sound really a thing if there 57 00:03:34,040 --> 00:03:36,480 Speaker 1: is no one there to perceive it? Because sound is 58 00:03:36,520 --> 00:03:41,440 Speaker 1: really describing how our brains process incoming fluctuations of air pressure. 59 00:03:42,000 --> 00:03:45,520 Speaker 1: In this case, we're not necessarily asking if the vibrations 60 00:03:45,560 --> 00:03:49,000 Speaker 1: from the tree happened or not. It's more that if 61 00:03:49,000 --> 00:03:52,880 Speaker 1: there is no one to experience that as sound, would 62 00:03:52,920 --> 00:03:56,280 Speaker 1: we really say that a sound happened? Is the experience 63 00:03:56,360 --> 00:04:00,280 Speaker 1: necessary to call it sound? Now I don't have an 64 00:04:00,280 --> 00:04:02,440 Speaker 1: answer to that question, but I do want to talk 65 00:04:02,480 --> 00:04:06,240 Speaker 1: more about what's going on with sounds. So at the 66 00:04:06,320 --> 00:04:10,720 Speaker 1: very heart of it, sound comes from vibrations. Generally, when 67 00:04:10,720 --> 00:04:13,640 Speaker 1: we talk about sound, we typically mean it comes from 68 00:04:14,080 --> 00:04:18,080 Speaker 1: vibrations of air molecules, which gets to that fluctuation and 69 00:04:18,160 --> 00:04:21,240 Speaker 1: air pressure that I was talking about. It's fluctuations and 70 00:04:21,279 --> 00:04:25,840 Speaker 1: air pressure that ultimately are sound most of the time 71 00:04:25,880 --> 00:04:28,440 Speaker 1: when we're talking about it. Sound can actually travel through 72 00:04:28,680 --> 00:04:32,360 Speaker 1: really any physical medium. It's just that it travels more 73 00:04:32,360 --> 00:04:35,280 Speaker 1: easily through some rather than others. And the way we 74 00:04:35,720 --> 00:04:38,880 Speaker 1: usually encounter it is through the air. So let's say 75 00:04:38,920 --> 00:04:42,280 Speaker 1: for a moment that you have the incredible superpower to 76 00:04:42,520 --> 00:04:45,640 Speaker 1: zoom and enhance your vision, and you can also see 77 00:04:45,800 --> 00:04:49,279 Speaker 1: air molecules, so you're actually looking at the air molecules 78 00:04:49,320 --> 00:04:52,520 Speaker 1: all around you. Now, imagine that you see someone clap 79 00:04:52,600 --> 00:04:55,800 Speaker 1: their hands, and as they clap their hands, they're causing 80 00:04:55,839 --> 00:04:59,440 Speaker 1: a bunch of air molecules to bounce around into each other, 81 00:04:59,680 --> 00:05:02,560 Speaker 1: and that creates a chain reaction that passes from the 82 00:05:02,600 --> 00:05:07,000 Speaker 1: point of origin, that being the clapping hands outward like 83 00:05:07,040 --> 00:05:09,840 Speaker 1: a ripple and a pond, almost but in all directions. 84 00:05:10,160 --> 00:05:13,080 Speaker 1: Now you're paying really close attention, and you notice that 85 00:05:13,160 --> 00:05:16,919 Speaker 1: as the collisions move outward, the reaction as a whole 86 00:05:17,200 --> 00:05:20,159 Speaker 1: begins to appear to lose energy. So the further you 87 00:05:20,240 --> 00:05:23,040 Speaker 1: out from the point of origin, the less you'll see 88 00:05:23,040 --> 00:05:26,279 Speaker 1: those air molecules move, and eventually you'll be far enough 89 00:05:26,279 --> 00:05:29,400 Speaker 1: out where the movement is imperceptible. And this is why 90 00:05:29,440 --> 00:05:32,640 Speaker 1: sounds are louder when you're closer to the point of origin, 91 00:05:32,880 --> 00:05:36,120 Speaker 1: which I admit is about as basic an idea as 92 00:05:36,160 --> 00:05:39,680 Speaker 1: I can communicate. But the reason those sounds are softer 93 00:05:39,800 --> 00:05:43,280 Speaker 1: when you're further away, assuming you don't have some interesting 94 00:05:43,320 --> 00:05:48,320 Speaker 1: curvature of the acoustic area around you, the reason that 95 00:05:48,440 --> 00:05:51,320 Speaker 1: they're softer is that the energy of that initial vibration 96 00:05:51,520 --> 00:05:54,760 Speaker 1: gets diluted as the reaction passes outward. And you can 97 00:05:54,800 --> 00:05:57,760 Speaker 1: think of it as the origin of the sound affects 98 00:05:57,800 --> 00:06:00,400 Speaker 1: a relatively small number of air molecules and at least 99 00:06:00,400 --> 00:06:03,599 Speaker 1: surrounding that point of origin, and it causes those air 100 00:06:03,600 --> 00:06:07,680 Speaker 1: molecules to fluctuate. Those fluctuating air molecules cause a larger 101 00:06:07,760 --> 00:06:12,120 Speaker 1: number of surrounding air molecules to fluctuate. But because you're 102 00:06:12,120 --> 00:06:16,160 Speaker 1: talking about transferring energy from a smaller number of molecules 103 00:06:16,200 --> 00:06:19,480 Speaker 1: to a larger number of molecules, the amount of energy 104 00:06:19,560 --> 00:06:23,520 Speaker 1: transmitted to that second group of air molecules means that 105 00:06:23,600 --> 00:06:26,920 Speaker 1: each individual molecule is getting less than the first group. 106 00:06:27,440 --> 00:06:30,120 Speaker 1: You know, energy cannot be created or destroyed, so we're 107 00:06:30,120 --> 00:06:33,200 Speaker 1: not getting rid of energy here, it's just we're spreading 108 00:06:33,200 --> 00:06:37,480 Speaker 1: it out across a larger area, so each individual component 109 00:06:38,000 --> 00:06:41,360 Speaker 1: is getting slightly less energy than the previous group. Now, 110 00:06:41,400 --> 00:06:43,760 Speaker 1: of course, in the real world it's not quite so 111 00:06:43,960 --> 00:06:47,400 Speaker 1: neat and simple as saying a circle of air molecules 112 00:06:47,600 --> 00:06:50,880 Speaker 1: than affects and slightly larger circle that affects a slightly 113 00:06:51,000 --> 00:06:54,120 Speaker 1: larger circle, and so on. But you get the idea. 114 00:06:54,320 --> 00:06:58,000 Speaker 1: When we talk about vibrations, we mentioned stuff like frequency, 115 00:06:58,320 --> 00:07:00,760 Speaker 1: and that word is all about the number of times 116 00:07:00,800 --> 00:07:04,400 Speaker 1: a repeating event occurs within a given unit of time. 117 00:07:04,839 --> 00:07:07,880 Speaker 1: So with sound, we usually refer to frequency in terms 118 00:07:07,920 --> 00:07:12,040 Speaker 1: of units called hurts, h, E, R, t z. This 119 00:07:12,120 --> 00:07:15,680 Speaker 1: tells us how many times this particular repeated event, and 120 00:07:15,840 --> 00:07:20,840 Speaker 1: oscillation happens within the span of a second. Twenty hurts, 121 00:07:20,960 --> 00:07:23,520 Speaker 1: which is generally said to be the lower end of 122 00:07:23,560 --> 00:07:27,360 Speaker 1: the typical range for human hearing, would be a wave 123 00:07:27,400 --> 00:07:32,480 Speaker 1: that's oscillating twenty times per second. Any vibration slower than 124 00:07:32,520 --> 00:07:34,560 Speaker 1: that would be at such a low frequency that the 125 00:07:34,600 --> 00:07:37,880 Speaker 1: average person would be unable to hear it. A twenty 126 00:07:38,000 --> 00:07:41,280 Speaker 1: killer hurts sound, which is at the tippy top end 127 00:07:41,400 --> 00:07:45,240 Speaker 1: of typical human hearing, would mean that the oscillating wave 128 00:07:45,480 --> 00:07:49,200 Speaker 1: is oscillating at a speed of twenty thousand times per second. 129 00:07:49,800 --> 00:07:52,440 Speaker 1: So that means if you had a string that vibrated 130 00:07:52,480 --> 00:07:55,120 Speaker 1: at twenty hurts, you can set up a high speed 131 00:07:55,160 --> 00:07:58,760 Speaker 1: camera on that string, and when you pluck the string 132 00:07:59,280 --> 00:08:01,800 Speaker 1: and you're use that high speed camera to shoot video 133 00:08:01,840 --> 00:08:04,640 Speaker 1: of it, you would see that for every second in 134 00:08:04,720 --> 00:08:07,600 Speaker 1: real time that passes, you could count the string making 135 00:08:07,640 --> 00:08:11,560 Speaker 1: twenty full cycles, which means going up and down past 136 00:08:11,640 --> 00:08:14,280 Speaker 1: the camera that's one full cycle. Not just passing it once, 137 00:08:14,280 --> 00:08:18,600 Speaker 1: it has to pass it twice. That would be twenty hurts. Now, 138 00:08:18,760 --> 00:08:22,440 Speaker 1: we also tend to talk about sound waves, and this 139 00:08:22,480 --> 00:08:24,960 Speaker 1: gets a little complicated because we can mean different things 140 00:08:25,040 --> 00:08:27,160 Speaker 1: by sound waves. We could be talking about the actual 141 00:08:27,320 --> 00:08:32,000 Speaker 1: physical wave of air fluctuations that propagates outwards from the 142 00:08:32,080 --> 00:08:34,440 Speaker 1: origin of sound, or we could be talking about a 143 00:08:34,559 --> 00:08:40,319 Speaker 1: visualization of the qualities of a sound. And this gets 144 00:08:40,320 --> 00:08:42,920 Speaker 1: into a territory where it's tricky to explain this without 145 00:08:43,040 --> 00:08:45,320 Speaker 1: visual aids, but we're gonna try. So we're gonna talk 146 00:08:45,360 --> 00:08:48,520 Speaker 1: about the visualization without visual aids. So I want you 147 00:08:48,559 --> 00:08:51,480 Speaker 1: to imagine that you have a piece of paper, and 148 00:08:51,760 --> 00:08:54,040 Speaker 1: across the middle of this piece of paper, you draw 149 00:08:54,080 --> 00:08:57,480 Speaker 1: a straight horizontal line from left to right goes all 150 00:08:57,480 --> 00:09:00,520 Speaker 1: the way across the paper. And this law line in 151 00:09:00,559 --> 00:09:03,959 Speaker 1: this particular representation is going to represent time. This is 152 00:09:04,000 --> 00:09:07,520 Speaker 1: the X axis. So the left side of your paper, 153 00:09:08,080 --> 00:09:11,520 Speaker 1: where you're starting point is, represents zero seconds. The far 154 00:09:11,720 --> 00:09:15,480 Speaker 1: right sign represents some arbitrary point of time. We'll get 155 00:09:15,520 --> 00:09:17,600 Speaker 1: to that in a second, because it all depends on 156 00:09:17,679 --> 00:09:21,000 Speaker 1: the specific kind of wave you're drawing. So now let's 157 00:09:21,000 --> 00:09:26,000 Speaker 1: just imagine drawing a nice sign wave, and we start 158 00:09:26,040 --> 00:09:30,079 Speaker 1: on the leftmost side at the center point, so zero 159 00:09:30,160 --> 00:09:33,560 Speaker 1: at the center horizontal line, and draw a nice gentle 160 00:09:33,760 --> 00:09:37,560 Speaker 1: crest up and then we come back down cross that 161 00:09:37,720 --> 00:09:42,559 Speaker 1: center line and then draw an equally gentle trough that 162 00:09:42,720 --> 00:09:46,280 Speaker 1: is of equivalent size to the crest on the opposite side. 163 00:09:46,760 --> 00:09:50,360 Speaker 1: And then once the line comes back up and crosses 164 00:09:50,360 --> 00:09:54,440 Speaker 1: the horizontal line again, we've got one wavelength of a 165 00:09:54,480 --> 00:09:57,560 Speaker 1: sound wave that this would be in what we would 166 00:09:57,600 --> 00:10:00,880 Speaker 1: call the time domain. The reason we call it the 167 00:10:00,920 --> 00:10:04,160 Speaker 1: time domain is that we are visualizing a sound wave 168 00:10:04,600 --> 00:10:08,880 Speaker 1: with regard to the passing of time. That X axis 169 00:10:08,920 --> 00:10:12,600 Speaker 1: again is showing the time is passing. So the wavelength 170 00:10:12,640 --> 00:10:16,480 Speaker 1: describes the distance or the amount of time that passes 171 00:10:16,520 --> 00:10:21,360 Speaker 1: between two corresponding points on a sign wave. So let's 172 00:10:21,360 --> 00:10:23,280 Speaker 1: say we draw a series of these like we get 173 00:10:23,320 --> 00:10:28,240 Speaker 1: twenty sheets of paper, and we draw equal sign waves 174 00:10:28,280 --> 00:10:30,120 Speaker 1: on each of those twenty sheets of paper, and we 175 00:10:30,160 --> 00:10:31,800 Speaker 1: put them all side by side, so we get a 176 00:10:31,880 --> 00:10:36,199 Speaker 1: nice continuous wave all the way down these twenty sheets wide. 177 00:10:36,960 --> 00:10:41,960 Speaker 1: And we say that each sheet represents one twentieth of 178 00:10:42,000 --> 00:10:44,319 Speaker 1: a second, so that when we have twenty of them 179 00:10:44,360 --> 00:10:47,880 Speaker 1: side by side, that represents one seconds worth of time. 180 00:10:48,320 --> 00:10:51,840 Speaker 1: You would say I have twenty wave lengths that span 181 00:10:52,000 --> 00:10:57,400 Speaker 1: one second. That means that this represents twenty hurts. This 182 00:10:57,480 --> 00:11:00,240 Speaker 1: is a sound wave with a frequency of twenty Hurts 183 00:11:00,280 --> 00:11:04,520 Speaker 1: because it takes twenty of these will pass a given 184 00:11:04,600 --> 00:11:08,840 Speaker 1: point in space within the span of one second. So 185 00:11:08,880 --> 00:11:12,360 Speaker 1: then we need to talk about the period of a wave, 186 00:11:12,679 --> 00:11:16,200 Speaker 1: and this is the inverse of Frequency is the amount 187 00:11:16,200 --> 00:11:20,000 Speaker 1: of time it takes for one wavelength to complete one cycle. 188 00:11:20,720 --> 00:11:23,920 Speaker 1: So frequency is the number of cycles per second. The 189 00:11:24,000 --> 00:11:27,280 Speaker 1: period of a wave is the number of seconds per cycle. 190 00:11:27,600 --> 00:11:32,000 Speaker 1: So for a twenty Hurts frequency, the period of the 191 00:11:32,040 --> 00:11:35,800 Speaker 1: wave would be one seconds per cycle. That's why we 192 00:11:35,800 --> 00:11:39,400 Speaker 1: would need twenty sheets of paper with just one nice 193 00:11:39,480 --> 00:11:44,400 Speaker 1: curvy wave on each piece to represent a twenty Hurts wave. 194 00:11:44,520 --> 00:11:46,640 Speaker 1: Now you could just do this on one sheet of paper, 195 00:11:46,880 --> 00:11:49,360 Speaker 1: you know, you just change the scale. So you change 196 00:11:49,360 --> 00:11:53,720 Speaker 1: the scale so that every single wavelength represents of a second. 197 00:11:54,280 --> 00:11:56,640 Speaker 1: You draw twenty of those on one sheet of paper. 198 00:11:56,800 --> 00:11:59,559 Speaker 1: Will be much smaller than our original example, but that 199 00:11:59,559 --> 00:12:01,640 Speaker 1: would still will be a twenty Hurts wave. It's all 200 00:12:01,760 --> 00:12:06,480 Speaker 1: dependent on the scale of your representation. Wavelength and frequency 201 00:12:06,520 --> 00:12:10,320 Speaker 1: are related, and we see that in an equation where 202 00:12:10,360 --> 00:12:16,680 Speaker 1: we say velocity equals wavelength times frequency. So velocity describes 203 00:12:16,720 --> 00:12:19,560 Speaker 1: the speed and direction. But we can ignore that for 204 00:12:19,640 --> 00:12:23,040 Speaker 1: now of a wave as it passes a stationary point. 205 00:12:23,400 --> 00:12:26,240 Speaker 1: So if we know two of those three factors, we 206 00:12:26,280 --> 00:12:28,480 Speaker 1: can figure out the third. But just a little math, right, 207 00:12:28,640 --> 00:12:31,280 Speaker 1: If we know the velocity and we know the wavelength, well, 208 00:12:31,520 --> 00:12:33,760 Speaker 1: we can divide the velocity by the wavelength and then 209 00:12:33,760 --> 00:12:36,360 Speaker 1: we have the frequency. Or if we know the frequency 210 00:12:36,400 --> 00:12:39,040 Speaker 1: but not the wavelength, we can divide the velocity by 211 00:12:39,080 --> 00:12:41,640 Speaker 1: the frequency. We get the wavelength. If we know the 212 00:12:41,679 --> 00:12:43,800 Speaker 1: frequency and the wavelength, we multiply them together, we get 213 00:12:43,800 --> 00:12:50,679 Speaker 1: the velocity. Pretty easy stuff. Now, speed of sound is 214 00:12:51,200 --> 00:12:53,200 Speaker 1: not that difficult for us to to get our minds 215 00:12:53,240 --> 00:12:55,800 Speaker 1: wrapped around, because we know what the speed of sound 216 00:12:55,960 --> 00:13:00,120 Speaker 1: is generally speaking, so the speed of sound depends partly 217 00:13:00,320 --> 00:13:03,600 Speaker 1: upon the medium through which the sound is traveling. Sound 218 00:13:03,679 --> 00:13:06,400 Speaker 1: moves at different speeds through water than it does through 219 00:13:06,400 --> 00:13:09,240 Speaker 1: the air, for example. But even in the air, stuff 220 00:13:09,400 --> 00:13:12,160 Speaker 1: can affect the speed of sound, like the air's humidity 221 00:13:12,240 --> 00:13:15,880 Speaker 1: and its temperature. Essentially, we're talking about density. The density 222 00:13:15,920 --> 00:13:18,559 Speaker 1: of those air molecules will affect how quickly sound can 223 00:13:18,559 --> 00:13:21,560 Speaker 1: travel through it. So when we talk about the speed 224 00:13:21,559 --> 00:13:24,640 Speaker 1: of sound, we have to get more specific. So we 225 00:13:24,760 --> 00:13:27,880 Speaker 1: tend to describe the speed of sound as being three 226 00:13:27,960 --> 00:13:31,520 Speaker 1: hundred forty three meters per second in dry air at 227 00:13:31,559 --> 00:13:35,120 Speaker 1: twenty degrees celsius. Now, for my fellow Americans out there 228 00:13:35,120 --> 00:13:37,480 Speaker 1: who ain't got time to truck with no sensible metrics 229 00:13:37,480 --> 00:13:40,840 Speaker 1: system or celsius or anything, this would mean sound travels 230 00:13:40,840 --> 00:13:44,160 Speaker 1: at about one thousand, one twenty five ft per second 231 00:13:44,320 --> 00:13:48,240 Speaker 1: when the air is sixty eight degrees fahrenheit. Sound at 232 00:13:48,280 --> 00:13:52,720 Speaker 1: all frequencies will travel at the same speed through any 233 00:13:52,840 --> 00:13:56,319 Speaker 1: given medium. So that means that a low pitch sound 234 00:13:56,600 --> 00:13:59,400 Speaker 1: and a high pitch sound will both cover the same 235 00:13:59,440 --> 00:14:02,280 Speaker 1: amount of space in the same amount of time through 236 00:14:02,360 --> 00:14:06,600 Speaker 1: the same medium. But low sounds have low frequencies and 237 00:14:06,640 --> 00:14:10,839 Speaker 1: thus longer wavelengths than high sounds, which are higher frequencies 238 00:14:11,000 --> 00:14:13,840 Speaker 1: with shorter wavelengths. It will take the same amount of 239 00:14:13,840 --> 00:14:16,160 Speaker 1: time for a high pitch note on a trumpet to 240 00:14:16,280 --> 00:14:18,880 Speaker 1: get to you as a low blast note on a 241 00:14:18,920 --> 00:14:22,360 Speaker 1: tuba that's played at the same distance, but the high 242 00:14:22,400 --> 00:14:24,640 Speaker 1: pitched note will have a higher frequency and a shorter 243 00:14:24,720 --> 00:14:27,760 Speaker 1: wavelength than the tubus note. Now I've used this analogy 244 00:14:27,800 --> 00:14:30,520 Speaker 1: several times before, but imagine that you've got a two 245 00:14:30,680 --> 00:14:34,160 Speaker 1: lane highway and you've got a line of buses that 246 00:14:34,200 --> 00:14:36,680 Speaker 1: are in the right lane, and the buses are one 247 00:14:36,760 --> 00:14:39,600 Speaker 1: right after the other. And in the left lane you've 248 00:14:39,600 --> 00:14:43,280 Speaker 1: got a line of compact cars. And for every bus, 249 00:14:43,440 --> 00:14:46,640 Speaker 1: you can fit three cars in that same length of space. 250 00:14:47,400 --> 00:14:49,640 Speaker 1: And the front of the first car is in line 251 00:14:49,640 --> 00:14:52,320 Speaker 1: with the front of the first bus. The rear bumper 252 00:14:52,320 --> 00:14:54,480 Speaker 1: of the last car lines up with the rear bumper 253 00:14:54,520 --> 00:14:57,840 Speaker 1: of the last bus. Both lanes of traffic are traveling 254 00:14:57,920 --> 00:15:01,920 Speaker 1: at the exact same speed. Down highway, both lanes of 255 00:15:01,960 --> 00:15:06,040 Speaker 1: traffic will cross a finish line at the exact same time. However, 256 00:15:06,520 --> 00:15:09,200 Speaker 1: you have more cars in lane two than you have 257 00:15:09,320 --> 00:15:12,560 Speaker 1: buses in lane one. Everyone's going at the same speed. 258 00:15:12,840 --> 00:15:14,640 Speaker 1: That's kind of the way we have to think about 259 00:15:14,760 --> 00:15:18,600 Speaker 1: sound waves and frequencies. If a sound is low enough, 260 00:15:18,880 --> 00:15:20,760 Speaker 1: we may not hear it at all, But if it 261 00:15:20,840 --> 00:15:22,880 Speaker 1: is a strong enough signal, meaning it has a great 262 00:15:22,880 --> 00:15:26,480 Speaker 1: deal of amplitude, we could physically feel it. You remember, 263 00:15:26,520 --> 00:15:31,000 Speaker 1: it's air fluctuations, it's actual air pressure. So typically we 264 00:15:31,040 --> 00:15:34,320 Speaker 1: would perceive amplitude as volume, and in our sketch of 265 00:15:34,320 --> 00:15:36,320 Speaker 1: a wave, it would mean that the peaks and low 266 00:15:36,360 --> 00:15:39,440 Speaker 1: points would be really far out from that center line, 267 00:15:39,520 --> 00:15:42,080 Speaker 1: you know, the taller those peaks are, the greater the 268 00:15:42,160 --> 00:15:45,600 Speaker 1: amplitude or greater the volume. If you've ever been near 269 00:15:45,680 --> 00:15:49,240 Speaker 1: a massive sub whiffer and you felt pressure, like in 270 00:15:49,280 --> 00:15:53,120 Speaker 1: your chest, but you couldn't really hear anything, chances are 271 00:15:53,120 --> 00:15:56,280 Speaker 1: it means the sub whoffer was blasting out vibrations below 272 00:15:56,320 --> 00:15:59,840 Speaker 1: your threshold of hearing. Typically, when we talk about music, 273 00:16:00,160 --> 00:16:03,480 Speaker 1: we talk a lot more about frequencies than we do 274 00:16:03,560 --> 00:16:07,720 Speaker 1: about wavelength and that's because of this relationship between frequency 275 00:16:07,800 --> 00:16:11,160 Speaker 1: and pitch. But wavelengths are also important as they will 276 00:16:11,200 --> 00:16:14,480 Speaker 1: become a key component of stuff like resonance and harmonics 277 00:16:14,520 --> 00:16:18,400 Speaker 1: and boyality. Let me tell you, preparing this section of 278 00:16:18,440 --> 00:16:20,680 Speaker 1: the podcast was a heck of a thing all by itself, 279 00:16:20,760 --> 00:16:23,960 Speaker 1: because this is stuff that's way easier to explain with 280 00:16:24,040 --> 00:16:26,320 Speaker 1: visual aids. But stick with me because I know you 281 00:16:26,320 --> 00:16:28,600 Speaker 1: guys are smart enough to suss it all out, so 282 00:16:28,640 --> 00:16:30,840 Speaker 1: it really just falls on me to describe it clearly. 283 00:16:31,360 --> 00:16:34,320 Speaker 1: So another thing we need to understand before we jump 284 00:16:34,360 --> 00:16:36,120 Speaker 1: into that, and we'll take a break before we get 285 00:16:36,160 --> 00:16:38,200 Speaker 1: to resonance and harmonics. But one other thing I want 286 00:16:38,240 --> 00:16:41,840 Speaker 1: to explain is the phase of a wave. A wave's 287 00:16:42,000 --> 00:16:46,239 Speaker 1: phase refers to how it is offset from some specific 288 00:16:46,280 --> 00:16:49,440 Speaker 1: starting position. And it really becomes important when you're talking 289 00:16:49,440 --> 00:16:53,480 Speaker 1: about multiple waves. Because multiple waves can be offset from 290 00:16:53,520 --> 00:16:56,080 Speaker 1: one another. They can be out of phase with each other, 291 00:16:56,400 --> 00:16:59,920 Speaker 1: and that affects the sounds that we perceive. So, going 292 00:17:00,000 --> 00:17:03,160 Speaker 1: back to our original sketch of a single wave, imagine 293 00:17:03,160 --> 00:17:06,359 Speaker 1: that you draw a new wave using that same series 294 00:17:06,400 --> 00:17:09,080 Speaker 1: of pieces of paper, but you use a different color 295 00:17:09,359 --> 00:17:11,840 Speaker 1: for this new wave, and you offset it a bit. 296 00:17:12,000 --> 00:17:13,960 Speaker 1: So instead of starting at the far left of the 297 00:17:14,000 --> 00:17:17,479 Speaker 1: first sheet, let's say you start one inch in so 298 00:17:17,520 --> 00:17:20,159 Speaker 1: it's offset from that first wave. Otherwise it follows the 299 00:17:20,160 --> 00:17:23,600 Speaker 1: exact same trajectory. Well, these two waves would be out 300 00:17:23,640 --> 00:17:27,080 Speaker 1: of phase with respect of each other. Why is this 301 00:17:27,160 --> 00:17:30,640 Speaker 1: all important? I'll explain in a second, but first let's 302 00:17:30,640 --> 00:17:41,000 Speaker 1: take a quick break. Okay, So before the break, I 303 00:17:41,080 --> 00:17:44,240 Speaker 1: talked about the phase of a sound wave. Imagine you've 304 00:17:44,240 --> 00:17:47,520 Speaker 1: got two of the same frequency of sound, but they're 305 00:17:47,520 --> 00:17:50,000 Speaker 1: out of phase with each other. That would affect how 306 00:17:50,040 --> 00:17:53,560 Speaker 1: we perceived the sound. It could get pretty noisy. Actually. 307 00:17:53,960 --> 00:17:57,640 Speaker 1: If the two frequencies, however, are perfectly opposite each other, 308 00:17:58,000 --> 00:18:01,479 Speaker 1: so that the crests in sound wave a match up 309 00:18:01,520 --> 00:18:05,360 Speaker 1: perfectly with the troughs of sound wave B, and they're 310 00:18:05,400 --> 00:18:09,040 Speaker 1: of the exact same frequency and amplitude, we wouldn't hear 311 00:18:09,119 --> 00:18:12,160 Speaker 1: the sound at all because those two sound waves would 312 00:18:12,160 --> 00:18:14,560 Speaker 1: cancel each other out. You can think of it in 313 00:18:14,600 --> 00:18:18,000 Speaker 1: this way. Think of air molecule number one is pushing 314 00:18:18,000 --> 00:18:20,920 Speaker 1: to the right on air molecule number two, but air 315 00:18:21,000 --> 00:18:24,600 Speaker 1: molecule two is pushing just as hard on the left 316 00:18:24,680 --> 00:18:27,960 Speaker 1: to air molecule number one, which means neither air molecule 317 00:18:27,960 --> 00:18:31,880 Speaker 1: will actually move. This is how noise canceling headphones work. 318 00:18:31,920 --> 00:18:35,200 Speaker 1: By the way, the headphones incorporate a microphone. It picks 319 00:18:35,280 --> 00:18:38,800 Speaker 1: up the ambient sounds in your environment, and then speakers 320 00:18:38,840 --> 00:18:42,160 Speaker 1: in the headphones generate the equal but opposite sound waves 321 00:18:42,200 --> 00:18:44,360 Speaker 1: to cancel out the ones that you would otherwise hear 322 00:18:44,880 --> 00:18:48,040 Speaker 1: as long as the latency that being the lag between 323 00:18:48,119 --> 00:18:51,719 Speaker 1: detecting a sound and generating the opposite sound, As long 324 00:18:51,760 --> 00:18:53,800 Speaker 1: as that latency is low enough, we humans are too 325 00:18:53,880 --> 00:18:55,880 Speaker 1: slow to pick up on the difference, and our perception 326 00:18:55,960 --> 00:18:58,399 Speaker 1: is really limited in that way. But the out of 327 00:18:58,440 --> 00:19:00,680 Speaker 1: face stuff also matters a lot when we talk about 328 00:19:00,680 --> 00:19:05,160 Speaker 1: things like resonance and harmonics as well. So I guess 329 00:19:05,240 --> 00:19:07,720 Speaker 1: there's no time like the present to finally get into 330 00:19:07,760 --> 00:19:11,000 Speaker 1: all that stuff. It is incredibly important with musical instruments, 331 00:19:11,040 --> 00:19:14,000 Speaker 1: So the descriptions I've used so far really refer to 332 00:19:14,160 --> 00:19:17,240 Speaker 1: pure pitches, which is something we can generate with electronics, 333 00:19:17,320 --> 00:19:20,040 Speaker 1: but it's not typically what we get with musical instruments 334 00:19:20,040 --> 00:19:24,000 Speaker 1: outside of things like tuning forks. A pure pitch describes 335 00:19:24,119 --> 00:19:28,119 Speaker 1: a single frequency with no harmonics or overtones, so we 336 00:19:28,200 --> 00:19:31,320 Speaker 1: don't get any other frequencies other than the base one, 337 00:19:31,400 --> 00:19:35,040 Speaker 1: the fundamental frequency. We're getting a pure tone, which we 338 00:19:35,080 --> 00:19:38,439 Speaker 1: could plot as a smooth, consistent sign wave with equal 339 00:19:38,480 --> 00:19:41,359 Speaker 1: crests and troughs, nice and neat, kind of like the 340 00:19:41,400 --> 00:19:43,680 Speaker 1: example I was describing at the top of this episode. 341 00:19:44,000 --> 00:19:47,159 Speaker 1: But in the real world, the sounds we hear typically 342 00:19:47,200 --> 00:19:51,080 Speaker 1: consist of more than one frequency. There are multiple frequencies 343 00:19:51,119 --> 00:19:54,360 Speaker 1: going on here. We can still plot the sound waves, 344 00:19:54,560 --> 00:19:57,359 Speaker 1: but they wouldn't look like those nice, smooth curves we 345 00:19:57,359 --> 00:20:01,200 Speaker 1: were talking about earlier. They would be funk looking potentially, 346 00:20:01,200 --> 00:20:04,680 Speaker 1: with little dips and bumps and the crests and troughs. 347 00:20:04,720 --> 00:20:08,280 Speaker 1: And that's because we'd be representing a collection of frequencies 348 00:20:08,560 --> 00:20:12,000 Speaker 1: in a single way. Visualization sort of the visual equivalent 349 00:20:12,040 --> 00:20:15,040 Speaker 1: of how we would perceive the sound through hearing. So 350 00:20:15,160 --> 00:20:18,080 Speaker 1: let's go through with an example. Let's say you're strumming 351 00:20:18,080 --> 00:20:21,080 Speaker 1: a guitar string, and that string will vibrate and not 352 00:20:21,200 --> 00:20:24,840 Speaker 1: just one frequency, but a few different frequencies all at 353 00:20:24,840 --> 00:20:28,960 Speaker 1: the same time. All of these frequencies are resonant frequencies, 354 00:20:29,160 --> 00:20:32,520 Speaker 1: meaning these are the collection of vibration speeds at which 355 00:20:32,600 --> 00:20:37,919 Speaker 1: that string naturally experiences when it is strummed. However, human 356 00:20:37,920 --> 00:20:40,600 Speaker 1: hearing is such that we typically only hear the pitch 357 00:20:40,760 --> 00:20:44,399 Speaker 1: of the lowest resonant frequency in that bunch. This is 358 00:20:44,400 --> 00:20:47,760 Speaker 1: the fundamental frequency. You can think of it as the baseline. 359 00:20:48,280 --> 00:20:52,960 Speaker 1: In musical instruments. The additional resonant frequencies those higher than 360 00:20:53,000 --> 00:20:57,760 Speaker 1: the fundamental frequency, higher in frequency, so more hurts. In 361 00:20:57,800 --> 00:21:02,479 Speaker 1: other words, are typically, but not exclusively, harmonics of the 362 00:21:02,520 --> 00:21:07,159 Speaker 1: fundamental and a harmonic is a whole number multiple of 363 00:21:07,200 --> 00:21:10,760 Speaker 1: the fundamental frequency. So let's focus on that guitar string. 364 00:21:10,760 --> 00:21:13,120 Speaker 1: It's a lot easier if we talk about a specific example. 365 00:21:14,000 --> 00:21:17,879 Speaker 1: So we're gonna say that we're gonna play the A string. 366 00:21:18,240 --> 00:21:20,720 Speaker 1: Why the A string, Well, because it has a fundamental 367 00:21:20,720 --> 00:21:24,320 Speaker 1: frequency of one ten hurts. It makes it very easy 368 00:21:24,359 --> 00:21:27,760 Speaker 1: for us to do multiples. So the fundamental frequency sees 369 00:21:27,800 --> 00:21:30,760 Speaker 1: the string vibrate one hundred ten times per second. That 370 00:21:30,760 --> 00:21:33,760 Speaker 1: means a full sequence of going up and down and 371 00:21:33,800 --> 00:21:37,760 Speaker 1: returning to starting point on times per second. The string 372 00:21:37,840 --> 00:21:40,320 Speaker 1: is anchored at either end of the guitar. If we 373 00:21:40,359 --> 00:21:42,320 Speaker 1: could slow down time, we would see that length of 374 00:21:42,359 --> 00:21:45,679 Speaker 1: string making that up down journey one ten times every second. 375 00:21:45,840 --> 00:21:49,919 Speaker 1: But the string is also vibrating at other frequencies that 376 00:21:50,000 --> 00:21:53,440 Speaker 1: are higher than the fundamental In general, we call these 377 00:21:53,480 --> 00:21:59,080 Speaker 1: overtones together. The overtones with the fundamental frequency are called partials. 378 00:21:59,520 --> 00:22:02,040 Speaker 1: Now I'm going to focus on harmonics first because they 379 00:22:02,080 --> 00:22:05,040 Speaker 1: are the easiest to grasp. So we've got our a 380 00:22:05,119 --> 00:22:08,560 Speaker 1: string with a hundred ten hurts frequency. That's our fundamental 381 00:22:08,600 --> 00:22:12,400 Speaker 1: tone or first harmonic. The next harmonic would be twice 382 00:22:12,520 --> 00:22:15,960 Speaker 1: the frequency as two is the next whole number. It's 383 00:22:15,960 --> 00:22:19,200 Speaker 1: the next integer in the sequence. We start with one, 384 00:22:19,440 --> 00:22:22,280 Speaker 1: but any number of times one is itself. We go 385 00:22:22,320 --> 00:22:25,600 Speaker 1: to the next integer, that's two. So now we multiply 386 00:22:26,080 --> 00:22:31,600 Speaker 1: our frequency hurts by two, we get two hurts. That's 387 00:22:31,600 --> 00:22:33,879 Speaker 1: still an A. It's still the note A, but it's 388 00:22:33,880 --> 00:22:37,399 Speaker 1: an octave higher than the original a note that we played. 389 00:22:37,920 --> 00:22:41,000 Speaker 1: So hypothetically, this also means if you've got a string 390 00:22:41,400 --> 00:22:45,480 Speaker 1: that's tuned to one hurts and you shortened the length 391 00:22:45,520 --> 00:22:48,200 Speaker 1: of that string by half, so you made it half 392 00:22:48,240 --> 00:22:51,560 Speaker 1: as long, you would produce the two D twenty Hurts 393 00:22:51,600 --> 00:22:54,760 Speaker 1: tone when you strummed the half as long string. You 394 00:22:54,880 --> 00:22:58,240 Speaker 1: shortened the wavelength by shortening the string. Thus you increase 395 00:22:58,280 --> 00:23:03,440 Speaker 1: the frequency because remember we remember velocity is wavelength times frequency. 396 00:23:03,520 --> 00:23:07,000 Speaker 1: Velocity is constant, so if we have the wavelength, we 397 00:23:07,040 --> 00:23:10,000 Speaker 1: have to double the frequency. At least that's what would 398 00:23:10,000 --> 00:23:12,840 Speaker 1: happen in an ideal realization of this principle, But in 399 00:23:12,920 --> 00:23:16,800 Speaker 1: reality it gets more complicated because the oscillating wave in 400 00:23:16,840 --> 00:23:20,680 Speaker 1: a guitar string doesn't propagate all the way from one 401 00:23:20,720 --> 00:23:22,679 Speaker 1: anchored end of the string all the way to the 402 00:23:22,680 --> 00:23:25,719 Speaker 1: other end of this string. Instead, there's actually a small 403 00:23:25,840 --> 00:23:28,679 Speaker 1: length of string that's close to the anchor points that 404 00:23:28,800 --> 00:23:32,240 Speaker 1: doesn't move. It's something that people tend to call the 405 00:23:32,400 --> 00:23:36,120 Speaker 1: dead length of string. Now, the amount of dead length, 406 00:23:36,200 --> 00:23:39,320 Speaker 1: like the length of that non moving part of the string, 407 00:23:39,680 --> 00:23:42,000 Speaker 1: depends on a lot of factors, like how thick the 408 00:23:42,040 --> 00:23:44,919 Speaker 1: string is, so there's no hard and fast rule of 409 00:23:44,920 --> 00:23:47,479 Speaker 1: how long the dead length will be. In general, this 410 00:23:47,560 --> 00:23:50,879 Speaker 1: actually means that the actual halfway mark down a string 411 00:23:51,000 --> 00:23:54,880 Speaker 1: doesn't necessarily correspond to doubling the vibrational frequency of that string. 412 00:23:55,600 --> 00:23:57,880 Speaker 1: But we'll get more into that in the next episode, 413 00:23:58,280 --> 00:24:00,320 Speaker 1: I hope. So we're gonna put it aside for now. 414 00:24:00,400 --> 00:24:04,200 Speaker 1: That's a future Jonathan problem. So the next harmonic would 415 00:24:04,200 --> 00:24:08,080 Speaker 1: be three times the fundamental right, we just did two hurts, 416 00:24:08,160 --> 00:24:12,639 Speaker 1: so three would be that's right, three thirty hurts, which 417 00:24:12,760 --> 00:24:15,440 Speaker 1: we would perceive as an E note if we could 418 00:24:15,440 --> 00:24:19,080 Speaker 1: hear it over the fundamental frequency, and so on. We 419 00:24:19,080 --> 00:24:21,719 Speaker 1: would go up the harmonic scale. The fourth harmonic at 420 00:24:21,760 --> 00:24:23,600 Speaker 1: four or forty would get us back to another A 421 00:24:23,720 --> 00:24:27,520 Speaker 1: note at a higher octave uh five fifty For the 422 00:24:27,600 --> 00:24:31,080 Speaker 1: fifth harmonic would actually be close to a C sharp, 423 00:24:31,280 --> 00:24:33,480 Speaker 1: but not exactly C sharp. It would be a little 424 00:24:33,520 --> 00:24:38,400 Speaker 1: off by just a few hurts. Now, overtones aren't necessarily 425 00:24:38,440 --> 00:24:43,200 Speaker 1: at harmonic frequencies. We tend to design musical instruments that 426 00:24:43,280 --> 00:24:46,840 Speaker 1: produce harmonics as overtones because we find them more pleasing 427 00:24:46,880 --> 00:24:51,600 Speaker 1: to the ear. Typically, but different instruments will produce different overtones. 428 00:24:52,040 --> 00:24:57,080 Speaker 1: At different intensities, So some might really emphasize the third 429 00:24:57,400 --> 00:25:01,879 Speaker 1: partial or third harmonic, others m really emphasize the fifth harmonic. 430 00:25:02,560 --> 00:25:05,040 Speaker 1: And this is why we can hear the same note 431 00:25:05,160 --> 00:25:08,600 Speaker 1: played on two different types of musical instruments, and we 432 00:25:08,640 --> 00:25:14,320 Speaker 1: experienced two different qualities of sound, two different experiences of sound. 433 00:25:14,800 --> 00:25:18,640 Speaker 1: So a G played on a banjo sounds different from 434 00:25:18,680 --> 00:25:21,639 Speaker 1: that same G note played on a guitar, and that 435 00:25:21,680 --> 00:25:24,000 Speaker 1: sounds different from that same G note played on a 436 00:25:24,040 --> 00:25:27,520 Speaker 1: piano or a G on a trumpet. Each of these 437 00:25:27,560 --> 00:25:32,280 Speaker 1: instruments produces overtones of varying degrees of intensity. And while 438 00:25:32,280 --> 00:25:36,400 Speaker 1: we don't necessarily perceive the pitch of those overtones, we don't, 439 00:25:36,600 --> 00:25:42,639 Speaker 1: you know, distinguish those other pitches. The overtones shape the sound, 440 00:25:43,040 --> 00:25:46,320 Speaker 1: It affects the timbre of the note. So we can 441 00:25:46,359 --> 00:25:48,760 Speaker 1: tell the G on a banjo and the G on 442 00:25:48,800 --> 00:25:51,960 Speaker 1: a guitar are the same pitch, they're the same note, 443 00:25:52,200 --> 00:25:54,680 Speaker 1: but they don't have the same quality of sound. If 444 00:25:54,680 --> 00:25:57,639 Speaker 1: they did, there'd be no reason to make different musical 445 00:25:57,680 --> 00:26:00,880 Speaker 1: instruments because they would all just produce the exact same sounds. 446 00:26:01,440 --> 00:26:05,040 Speaker 1: There's something else I need to say about resonance and 447 00:26:05,080 --> 00:26:08,399 Speaker 1: it involves adding energy into a system. One way to 448 00:26:08,440 --> 00:26:11,160 Speaker 1: think about this is with a swing set, So you know, 449 00:26:11,440 --> 00:26:14,120 Speaker 1: and you're a kid, or if you're me an adult 450 00:26:14,400 --> 00:26:16,800 Speaker 1: and you're swinging on a swing set, if someone gives 451 00:26:16,800 --> 00:26:18,560 Speaker 1: you a push just as you were about to start 452 00:26:18,560 --> 00:26:20,919 Speaker 1: your downward swing, you go a little higher on your 453 00:26:20,960 --> 00:26:24,960 Speaker 1: next swing because that push was adding to the natural 454 00:26:25,000 --> 00:26:29,000 Speaker 1: frequency of your swing. You're adding energy into the system. 455 00:26:29,080 --> 00:26:33,840 Speaker 1: So objects will resonate at certain frequencies, and if you 456 00:26:34,000 --> 00:26:37,800 Speaker 1: add energy at the regular intervals of that frequency, it 457 00:26:38,000 --> 00:26:42,160 Speaker 1: boosts the amplification. You get more volume, you get more energy, 458 00:26:42,600 --> 00:26:44,840 Speaker 1: And it depends on a load of factors, such as 459 00:26:44,960 --> 00:26:47,520 Speaker 1: what the physical stuff is made up of, how much 460 00:26:47,560 --> 00:26:50,159 Speaker 1: of it there is, the tension that's on it, and 461 00:26:50,240 --> 00:26:52,640 Speaker 1: lots of other stuff. But resonance is going to play 462 00:26:52,640 --> 00:26:56,040 Speaker 1: an important part in how some specific instruments work. So 463 00:26:56,080 --> 00:26:59,120 Speaker 1: if a musician subjects an instrument at a resonant frequency 464 00:26:59,119 --> 00:27:02,320 Speaker 1: in some way, the sound creative and the instrument will 465 00:27:02,320 --> 00:27:06,040 Speaker 1: be a louder one. The classic example of resonance is 466 00:27:06,119 --> 00:27:11,280 Speaker 1: using a crystal champagne glasses fundamental frequency to shatter the glass, 467 00:27:11,480 --> 00:27:13,560 Speaker 1: and it's a neat trick, so The first thing you 468 00:27:13,600 --> 00:27:16,919 Speaker 1: gotta do is determine what the glass is fundamental frequency is. 469 00:27:17,520 --> 00:27:20,359 Speaker 1: Typically you do that by tapping it lightly, and you 470 00:27:20,359 --> 00:27:22,800 Speaker 1: would listen to the tone it produces, and you would 471 00:27:22,800 --> 00:27:27,000 Speaker 1: analyze that tone. Then you would subject the glass to 472 00:27:27,119 --> 00:27:30,520 Speaker 1: that same frequency of sound. The glass will begin to 473 00:27:30,600 --> 00:27:34,520 Speaker 1: vibrate in the presence of that fundamental frequency all by itself, 474 00:27:35,080 --> 00:27:37,040 Speaker 1: so you don't have to strike it or anything. It's 475 00:27:37,080 --> 00:27:39,840 Speaker 1: as if the glass has been struck. It will resonate 476 00:27:40,400 --> 00:27:43,639 Speaker 1: along with that frequency. It will also do this, by 477 00:27:43,680 --> 00:27:45,840 Speaker 1: the way, if you're doing one of the harmonics of 478 00:27:45,880 --> 00:27:49,320 Speaker 1: that frequency, but at a lesser degree. So if the 479 00:27:49,400 --> 00:27:52,879 Speaker 1: incoming frequency is strong enough, it will cause the glass 480 00:27:52,920 --> 00:27:55,720 Speaker 1: to vibrate to the point that deforms enough to shatter. 481 00:27:56,320 --> 00:27:57,959 Speaker 1: And there are a lot of stories of opera singers 482 00:27:58,000 --> 00:28:01,480 Speaker 1: who had perfect pitch who could managed this. They would 483 00:28:01,520 --> 00:28:04,240 Speaker 1: listen to the tone and replicate it perfectly, and with 484 00:28:04,400 --> 00:28:07,760 Speaker 1: their training, they would produce in a volume loud enough 485 00:28:07,800 --> 00:28:10,000 Speaker 1: to shatter the glass. These days, it's a lot easier 486 00:28:10,000 --> 00:28:12,480 Speaker 1: to do this because you just use a digital device 487 00:28:12,560 --> 00:28:15,840 Speaker 1: capable of dialing into a precise frequency, and then you 488 00:28:15,880 --> 00:28:18,359 Speaker 1: pump that frequency out to some speakers that can blast 489 00:28:18,400 --> 00:28:21,040 Speaker 1: out the sound at a sufficient volume and the glass 490 00:28:21,080 --> 00:28:24,399 Speaker 1: will just shatter itself. But uh, we're not done with 491 00:28:24,400 --> 00:28:26,800 Speaker 1: the hard stuff yet. Now we have to talk about 492 00:28:26,840 --> 00:28:31,480 Speaker 1: Furrier transforms. And who knew that music was so darn complicated? 493 00:28:32,040 --> 00:28:34,159 Speaker 1: I mean, Bach did, but you know you get what 494 00:28:34,200 --> 00:28:37,720 Speaker 1: I mean. Back in the eighteenth and early nineteenth centuries, 495 00:28:37,760 --> 00:28:42,080 Speaker 1: we had this smarty pants named Jean Baptiste Joseph Fourier, 496 00:28:42,760 --> 00:28:45,960 Speaker 1: or Old Joe as i'll call him. So. Old Joe 497 00:28:46,120 --> 00:28:48,800 Speaker 1: was a physicist and a mathematician born way back in 498 00:28:48,840 --> 00:28:51,920 Speaker 1: seventeen sixty eight, and he was really interested in explaining 499 00:28:51,920 --> 00:28:55,680 Speaker 1: the flow of heat between adjacent molecules. But his work 500 00:28:55,880 --> 00:28:58,800 Speaker 1: would lay the foundation for other smarty pants assess is 501 00:28:59,120 --> 00:29:01,520 Speaker 1: to build upon net, leading to what we would call 502 00:29:01,560 --> 00:29:06,680 Speaker 1: the Furrier transform. Not many people called the Furrier transform, 503 00:29:06,800 --> 00:29:09,640 Speaker 1: so I'll just say Furrier. But what the heck does 504 00:29:09,680 --> 00:29:12,600 Speaker 1: this have to do with music? Well, remember when I 505 00:29:12,640 --> 00:29:15,240 Speaker 1: said if you wanted to depict a true sound wave 506 00:29:15,320 --> 00:29:17,920 Speaker 1: as a type of sign wave, it would look really 507 00:29:17,960 --> 00:29:20,480 Speaker 1: funky because the presence of all those overtones, it would 508 00:29:20,480 --> 00:29:23,880 Speaker 1: make all these different dips and peaks, and it would 509 00:29:23,920 --> 00:29:26,360 Speaker 1: just look very odd. It wouldn't be those smooth curves 510 00:29:26,360 --> 00:29:29,600 Speaker 1: we were talking about originally, Well, we humans wouldn't hear 511 00:29:29,640 --> 00:29:33,320 Speaker 1: all those frequencies as distinct pitches, but a meter could 512 00:29:33,440 --> 00:29:37,040 Speaker 1: pick up all those different frequencies together. Basically, the Furrier 513 00:29:37,080 --> 00:29:41,760 Speaker 1: transform describes how these multiple frequencies all combine into that 514 00:29:42,000 --> 00:29:45,240 Speaker 1: one wave, which in our sketch means it creates that 515 00:29:45,320 --> 00:29:48,760 Speaker 1: single wave visualization that incorporates all the frequencies at their 516 00:29:48,800 --> 00:29:53,120 Speaker 1: respective amplitudes into a single, unbroken visualization of a wave. 517 00:29:53,880 --> 00:29:57,800 Speaker 1: Furier showed that a continuous function could be produced as 518 00:29:57,800 --> 00:30:01,400 Speaker 1: an infinite sum of sign and cost sign waves. The 519 00:30:01,440 --> 00:30:05,320 Speaker 1: resulting plot of the function as a wave isn't necessarily smooth, 520 00:30:05,680 --> 00:30:07,479 Speaker 1: and the shape of it will depend upon a lot 521 00:30:07,520 --> 00:30:11,440 Speaker 1: of factors, including the phase of each constituent wave, the frequency, 522 00:30:11,560 --> 00:30:13,960 Speaker 1: the amplitude, all that kind of stuff. But Furry and 523 00:30:13,960 --> 00:30:17,280 Speaker 1: those who followed him described how this collection of individual 524 00:30:17,320 --> 00:30:21,880 Speaker 1: components combine to make a whole. This applies in lots 525 00:30:21,920 --> 00:30:24,760 Speaker 1: of areas of physics, not just in sound, and in 526 00:30:24,800 --> 00:30:27,640 Speaker 1: fact we can visualize sound waves in a different way. 527 00:30:28,120 --> 00:30:31,560 Speaker 1: There's more helpful when we try to understand this. So 528 00:30:31,600 --> 00:30:35,040 Speaker 1: we've used the time domain method. Right, we've been using 529 00:30:35,040 --> 00:30:40,000 Speaker 1: that in order to describe the the wavelength and frequency 530 00:30:40,040 --> 00:30:43,320 Speaker 1: because those are really easy to visualize in terms of 531 00:30:43,320 --> 00:30:47,720 Speaker 1: of span of time. However, it gets confusing when we 532 00:30:47,720 --> 00:30:50,400 Speaker 1: want to talk about overtones and the shape of the 533 00:30:50,440 --> 00:30:53,320 Speaker 1: wave goes all funky. So we can do this by 534 00:30:53,520 --> 00:30:56,840 Speaker 1: looking at it not by the time domain but by 535 00:30:56,880 --> 00:31:01,200 Speaker 1: the frequency domain. So in the time domain, that horizontal 536 00:31:01,240 --> 00:31:04,120 Speaker 1: line or x axis relates to the passing of time, 537 00:31:04,320 --> 00:31:07,440 Speaker 1: but in the frequency domain, the x axis refers to 538 00:31:07,520 --> 00:31:11,560 Speaker 1: the range of frequencies, lower frequencies being on the left side, 539 00:31:11,760 --> 00:31:14,520 Speaker 1: higher frequencies being on the right side. So you would 540 00:31:14,560 --> 00:31:20,240 Speaker 1: plot where the frequency is on each of those overtones, 541 00:31:20,360 --> 00:31:25,320 Speaker 1: and the fundamental frequency uh and the y axis is 542 00:31:25,360 --> 00:31:29,440 Speaker 1: still amplitude, so it's still volume. So you would have 543 00:31:29,560 --> 00:31:33,280 Speaker 1: the loudest frequency, which would be the fundamental, plotted at 544 00:31:33,280 --> 00:31:35,560 Speaker 1: the highest point on the y axis, and then you 545 00:31:35,560 --> 00:31:39,360 Speaker 1: would see the overtone frequencies at their respective places, and 546 00:31:39,400 --> 00:31:42,880 Speaker 1: you would see, if you were to analyze through Furrier 547 00:31:42,960 --> 00:31:48,120 Speaker 1: analysis each musical instrument, that those overtones are slightly different 548 00:31:48,560 --> 00:31:52,200 Speaker 1: between things like guitars and banjos and harps and pianos 549 00:31:52,240 --> 00:31:56,000 Speaker 1: and flutes and trumpets, etcetera. Uh, and other things like 550 00:31:56,000 --> 00:31:58,240 Speaker 1: like whether or not you were plucking a string versus 551 00:31:58,280 --> 00:32:01,960 Speaker 1: bowing a string. All of these factor into it. Now 552 00:32:02,320 --> 00:32:04,680 Speaker 1: I get that all of this is really confusing without 553 00:32:04,720 --> 00:32:07,600 Speaker 1: visual aids, So I do recommend checking this stuff out 554 00:32:07,720 --> 00:32:09,520 Speaker 1: on the internet to get a better grasp of it. 555 00:32:09,680 --> 00:32:12,320 Speaker 1: There are numerous websites and videos on the matter, and 556 00:32:12,360 --> 00:32:14,840 Speaker 1: one really helpful one relating to what I was just 557 00:32:14,880 --> 00:32:18,920 Speaker 1: talking about is on Mark Newman's YouTube channel. It's titled 558 00:32:19,040 --> 00:32:23,200 Speaker 1: Preview how the Furrier transform works Lecture number two Sound 559 00:32:23,320 --> 00:32:26,280 Speaker 1: as sign Waves. Check that out. It will really help 560 00:32:26,320 --> 00:32:28,560 Speaker 1: clear things up. But when we get back, I'm gonna 561 00:32:28,560 --> 00:32:31,520 Speaker 1: wrap up the physics bit. Then we're gonna talk about 562 00:32:31,560 --> 00:32:42,720 Speaker 1: some biology. But first let's take a quick break. So 563 00:32:43,320 --> 00:32:47,240 Speaker 1: Furrier analysis, where we can determine the amplitudes of individual 564 00:32:47,280 --> 00:32:50,760 Speaker 1: overtones and harmonics and a played note, gives us the 565 00:32:50,880 --> 00:32:54,080 Speaker 1: scientific explanation of why the same note played across different 566 00:32:54,080 --> 00:32:57,880 Speaker 1: instruments produces a different kind of sound. The collection of 567 00:32:57,880 --> 00:33:01,120 Speaker 1: those overtones is different for every instrument. But how about 568 00:33:01,160 --> 00:33:05,160 Speaker 1: how we actually hear and perceive sound? What is the 569 00:33:05,200 --> 00:33:09,080 Speaker 1: science behind our experience of sound? Well, we'll start with 570 00:33:09,120 --> 00:33:12,920 Speaker 1: the physics and those moving air molecules what go into 571 00:33:12,960 --> 00:33:15,400 Speaker 1: our ears. So we're really talking, like I said about 572 00:33:15,440 --> 00:33:18,720 Speaker 1: fluctuating air pressure. Here, those changes in air pressure hit 573 00:33:18,720 --> 00:33:22,560 Speaker 1: our ears and they pass into the external auditory canal, 574 00:33:22,840 --> 00:33:26,040 Speaker 1: so that's open to the outside world on the inside 575 00:33:26,320 --> 00:33:30,200 Speaker 1: in our heads. It ends with the tympanic membrane, also 576 00:33:30,240 --> 00:33:32,560 Speaker 1: known as the ear drum. So this is a very 577 00:33:32,600 --> 00:33:35,160 Speaker 1: thin membrane and it's at where we would say the 578 00:33:35,240 --> 00:33:39,239 Speaker 1: outer ear begins to transition to the middle ear. On 579 00:33:39,280 --> 00:33:42,880 Speaker 1: the other side, the inner side of the tympanic membrane 580 00:33:43,400 --> 00:33:47,200 Speaker 1: is a series of three tiny bones. There, the malleus, 581 00:33:47,560 --> 00:33:50,560 Speaker 1: the incas, and the statepies or the hammer, the anvil 582 00:33:50,680 --> 00:33:53,880 Speaker 1: and the stirrup, so called because of their shape, and 583 00:33:53,960 --> 00:33:57,680 Speaker 1: as the membrane moves due to these fluctuations of air pressure, 584 00:33:57,800 --> 00:34:01,880 Speaker 1: as it's being pushed and pulled upon, the bones also move, 585 00:34:02,280 --> 00:34:05,560 Speaker 1: So the hammer pushes impoles on the anvil, which pushes 586 00:34:05,640 --> 00:34:09,200 Speaker 1: impolls on the stirrup. The stapes or stirrup connects to 587 00:34:09,239 --> 00:34:12,319 Speaker 1: the oval window. That's a section that's part of the 588 00:34:12,320 --> 00:34:16,399 Speaker 1: cochlea that's an organ in the inner ear. The cochlea 589 00:34:16,560 --> 00:34:20,040 Speaker 1: is a spiral shaped organ and there are three parallel 590 00:34:20,200 --> 00:34:25,000 Speaker 1: chambers filled with fluid inside the cochlea. The vibrations on 591 00:34:25,040 --> 00:34:28,760 Speaker 1: the oval window cause waves to flow through this fluid. 592 00:34:29,680 --> 00:34:33,920 Speaker 1: This in turn causes another membrane called the basilar membrane 593 00:34:34,040 --> 00:34:37,239 Speaker 1: to move. And it's the basilar membrane or basil or 594 00:34:37,320 --> 00:34:40,560 Speaker 1: if you prefer, that gives us the ability to differentiate 595 00:34:40,640 --> 00:34:44,520 Speaker 1: the pitches that we hear. Different sections of this membrane 596 00:34:44,760 --> 00:34:49,840 Speaker 1: respond more readily to certain frequencies of sound. Then you 597 00:34:49,880 --> 00:34:52,640 Speaker 1: have the organ of core time, which is the receptor 598 00:34:52,760 --> 00:34:56,160 Speaker 1: organ of the ear, and it detects the vibrations of 599 00:34:56,360 --> 00:35:00,439 Speaker 1: this basilar membrane through special cells, and the special cells 600 00:35:00,440 --> 00:35:03,680 Speaker 1: have little hair like protrusions on them. It acts kind 601 00:35:03,680 --> 00:35:06,800 Speaker 1: of like a brush that just rests against this membrane. 602 00:35:07,040 --> 00:35:09,719 Speaker 1: So as the membrane vibrates, the hair cells pick it up, 603 00:35:10,239 --> 00:35:13,879 Speaker 1: and then they pass along the message to the brain 604 00:35:13,920 --> 00:35:18,040 Speaker 1: through neurotransmitters, and it gets super complicated from there. But 605 00:35:18,080 --> 00:35:21,719 Speaker 1: I figured this is deep enough already. At the end, 606 00:35:21,800 --> 00:35:25,279 Speaker 1: our brains taken these incoming signals and then interpret it 607 00:35:25,320 --> 00:35:29,880 Speaker 1: and we experience it as sound. Now you can also 608 00:35:29,960 --> 00:35:34,759 Speaker 1: transmit vibrations to the tympanic membrane through stuff like bone conduction. 609 00:35:35,280 --> 00:35:38,120 Speaker 1: That's where the vibration passes, not through air molecules that 610 00:35:38,160 --> 00:35:41,120 Speaker 1: are going through the ear canal, but rather through the 611 00:35:41,160 --> 00:35:44,400 Speaker 1: bones of the skull itself. So just remember that again, 612 00:35:44,480 --> 00:35:47,600 Speaker 1: sound is one way we experience vibration, but not the 613 00:35:47,640 --> 00:35:50,040 Speaker 1: only way. I mean, obviously, if a vibration is strong enough, 614 00:35:50,040 --> 00:35:53,080 Speaker 1: we're gonna feel it. And some vibrations occurrent frequencies that 615 00:35:53,400 --> 00:35:55,160 Speaker 1: again are too high or too low for us to 616 00:35:55,200 --> 00:35:58,560 Speaker 1: perceive through sound through hearing it, but we might be 617 00:35:58,560 --> 00:36:01,920 Speaker 1: able to feel it. So the basilar membrane won't vibrate 618 00:36:02,120 --> 00:36:05,560 Speaker 1: at frequencies that are above or below the human range 619 00:36:05,560 --> 00:36:09,040 Speaker 1: of hearing, or an individual's range of human hearing, because 620 00:36:09,280 --> 00:36:12,640 Speaker 1: when we say twenty to twenty killer hurts, we're really 621 00:36:12,680 --> 00:36:15,959 Speaker 1: talking about the range of the typical human. Some people 622 00:36:16,000 --> 00:36:21,520 Speaker 1: are atypical. So you could say if a tree falls 623 00:36:22,000 --> 00:36:24,799 Speaker 1: and the vibrations that cause were above or below the 624 00:36:24,880 --> 00:36:29,440 Speaker 1: level of perception, it doesn't make a sound because sound 625 00:36:29,480 --> 00:36:33,920 Speaker 1: is dependent upon us experiencing it. You could also argue 626 00:36:33,960 --> 00:36:35,839 Speaker 1: the opposite. It all just depends on your way you're 627 00:36:35,880 --> 00:36:38,960 Speaker 1: defining things. So when a musician strums a string on 628 00:36:39,000 --> 00:36:42,200 Speaker 1: a guitar, that string vibrates, it causes the air molecules 629 00:36:42,200 --> 00:36:45,160 Speaker 1: around the string to move. Thus you get a fluctuation 630 00:36:45,200 --> 00:36:48,840 Speaker 1: of air pressure that matches that vibrating frequency. This spreads 631 00:36:48,840 --> 00:36:52,480 Speaker 1: outward from the source and the air molecules all around vibrate, 632 00:36:52,560 --> 00:36:55,600 Speaker 1: and if you're close enough, if you're within hearing distance, 633 00:36:56,080 --> 00:37:00,160 Speaker 1: that fluctuation will be strong enough to move your tympanic membrane, 634 00:37:00,560 --> 00:37:04,360 Speaker 1: which then is going to through the bones put pressure 635 00:37:04,400 --> 00:37:07,360 Speaker 1: on that oval window of your cochlea, which in turn 636 00:37:07,400 --> 00:37:10,880 Speaker 1: will cause the basilar membrane to vibrate at the particular 637 00:37:11,360 --> 00:37:14,960 Speaker 1: area on the membrane that corresponds to that frequency. The 638 00:37:15,000 --> 00:37:17,720 Speaker 1: hair cells will pick up that vibration and then emit 639 00:37:17,800 --> 00:37:21,600 Speaker 1: neurotransmitters that our brains then say, oh, I recognize that 640 00:37:21,600 --> 00:37:24,720 Speaker 1: that's in agata da vida boom. We've just heard some music. 641 00:37:25,320 --> 00:37:28,200 Speaker 1: So when you get down to it, musical instruments are 642 00:37:28,239 --> 00:37:33,120 Speaker 1: all about creating vibrations at specific frequencies. Music itself is 643 00:37:33,120 --> 00:37:37,279 Speaker 1: all about establishing rules which can occasionally be broken for 644 00:37:37,360 --> 00:37:41,280 Speaker 1: the arrangement of those frequencies in ways to achieve various effects. 645 00:37:41,760 --> 00:37:45,200 Speaker 1: Those rules aren't just about which frequencies play well with others. 646 00:37:45,360 --> 00:37:48,560 Speaker 1: It's also about stuff like amplitude. Levels of volume are 647 00:37:48,600 --> 00:37:52,440 Speaker 1: really important and play into a song's dynamic range. Dynamic 648 00:37:52,520 --> 00:37:55,719 Speaker 1: range explains the difference between the loudest versus the softest 649 00:37:55,760 --> 00:37:58,759 Speaker 1: parts of a piece of music, and the limitations of 650 00:37:58,840 --> 00:38:01,719 Speaker 1: human hearing also play an important part. So, for example, 651 00:38:01,760 --> 00:38:03,799 Speaker 1: it's very hard for humans to pick up on a 652 00:38:03,920 --> 00:38:08,719 Speaker 1: soft sound that immediately follows a loud sound, much like 653 00:38:08,800 --> 00:38:11,719 Speaker 1: we really only hear the fundamental frequency played on a 654 00:38:11,800 --> 00:38:14,200 Speaker 1: musical instrument. So if you wrote a piece of music 655 00:38:14,239 --> 00:38:17,320 Speaker 1: that has a really loud moment followed immediately by a 656 00:38:17,440 --> 00:38:20,160 Speaker 1: very soft one, chances are no one would ever hear 657 00:38:20,200 --> 00:38:22,600 Speaker 1: the soft part. This also plays a big part in 658 00:38:22,680 --> 00:38:26,440 Speaker 1: strategies that revolve around audio compression. If you've listened to 659 00:38:26,480 --> 00:38:29,360 Speaker 1: my episodes about the MP three format, you know that 660 00:38:29,480 --> 00:38:33,640 Speaker 1: some forms of compression rely on what's called a lossy formula. 661 00:38:34,000 --> 00:38:37,320 Speaker 1: As the name implies, lossy compression is able to reduce 662 00:38:37,360 --> 00:38:41,400 Speaker 1: file size by ditching some of that data, you lose 663 00:38:41,719 --> 00:38:45,400 Speaker 1: some of the information. The goal of lossy compression is 664 00:38:45,520 --> 00:38:48,640 Speaker 1: to get rid of data without perceivably changing the quality 665 00:38:48,800 --> 00:38:53,000 Speaker 1: of the sound file or reducing any perceivable quality as 666 00:38:53,040 --> 00:38:55,600 Speaker 1: much as possible. The first way to do that is 667 00:38:55,600 --> 00:39:00,200 Speaker 1: to identify any sounds that theoretically should be imperceptible to 668 00:39:00,239 --> 00:39:02,319 Speaker 1: the average person and then just getting rid of them, 669 00:39:02,320 --> 00:39:04,680 Speaker 1: because if you can't hear it, why would you keep it. 670 00:39:05,200 --> 00:39:09,160 Speaker 1: But as we've learned, stuff like overtones are also important. 671 00:39:09,360 --> 00:39:13,360 Speaker 1: They are what characterized the quality of a particular musical instrument, 672 00:39:13,760 --> 00:39:17,520 Speaker 1: even though we don't directly perceive the pitches underneath those 673 00:39:17,560 --> 00:39:21,120 Speaker 1: overtones as distinct notes. So lossy formats have to take 674 00:39:21,160 --> 00:39:24,280 Speaker 1: that into account, or the compressed file is just gonna 675 00:39:24,280 --> 00:39:29,200 Speaker 1: sound weird. Guitars won't sound like guitars, for example. So interestingly, 676 00:39:29,560 --> 00:39:32,680 Speaker 1: there's a lot of psychology that goes into audio compression 677 00:39:33,200 --> 00:39:36,360 Speaker 1: by combining our understanding of physics, even if it was 678 00:39:36,400 --> 00:39:40,320 Speaker 1: a limited understanding or perhaps more of an observation without 679 00:39:40,360 --> 00:39:45,000 Speaker 1: full understanding, with our appreciation for which frequencies are pleasing 680 00:39:45,040 --> 00:39:47,800 Speaker 1: to us, and the limitations that we have as human beings. 681 00:39:48,320 --> 00:39:51,480 Speaker 1: We can construct various instruments to play into all of this, 682 00:39:52,000 --> 00:39:54,400 Speaker 1: but it all comes down to how can I construct 683 00:39:54,440 --> 00:39:57,720 Speaker 1: something that will vibrate and make those vibrations sound good. 684 00:39:58,800 --> 00:40:02,120 Speaker 1: I'd love to give you history of musical instruments, but 685 00:40:02,239 --> 00:40:06,080 Speaker 1: humanities relationship with music dates back before our relationship with 686 00:40:06,200 --> 00:40:10,840 Speaker 1: written language. Among the oldest instruments ever discovered where flutes 687 00:40:10,920 --> 00:40:14,400 Speaker 1: from European caves. These flutes were made out of bird 688 00:40:14,480 --> 00:40:17,560 Speaker 1: bone and mammoth ivory and they were built more than 689 00:40:17,640 --> 00:40:21,680 Speaker 1: forty thousand years ago. And keep in mind I said 690 00:40:21,680 --> 00:40:24,640 Speaker 1: these were the earliest ones that we've discovered. Who knows 691 00:40:24,760 --> 00:40:28,560 Speaker 1: when humans first made musical instruments. If I had to guess, 692 00:40:28,719 --> 00:40:32,680 Speaker 1: I would wager that percussion instruments like drums were among 693 00:40:32,719 --> 00:40:36,640 Speaker 1: the earliest. But there are a lot of other ancient examples, 694 00:40:37,360 --> 00:40:40,360 Speaker 1: and one I want to talk about is particularly interesting. 695 00:40:40,360 --> 00:40:43,200 Speaker 1: I want to close out with this ancient musical instrument 696 00:40:43,239 --> 00:40:45,799 Speaker 1: because there are people who still use it today and 697 00:40:45,880 --> 00:40:50,399 Speaker 1: it's super cool. It's called the bull roarer. It's hard 698 00:40:50,400 --> 00:40:53,440 Speaker 1: for me to say that word, being Southern bull roarer. 699 00:40:53,880 --> 00:40:55,959 Speaker 1: I just want to make it a two syllable word. 700 00:40:56,360 --> 00:40:59,680 Speaker 1: But these were used as far back as the Stone Age. 701 00:41:00,040 --> 00:41:03,560 Speaker 1: Typically these consist of a slat of wood, and it's 702 00:41:03,600 --> 00:41:06,319 Speaker 1: usually shaped so that there's an edge on either side 703 00:41:06,360 --> 00:41:09,040 Speaker 1: of the slat of wood. So think of like a ruler, 704 00:41:09,160 --> 00:41:12,040 Speaker 1: but you've you've shaved the edges of the ruler down 705 00:41:12,080 --> 00:41:14,560 Speaker 1: so that it's kind of like the propeller on an 706 00:41:14,560 --> 00:41:18,120 Speaker 1: old prop plane. And you wrap a chord around one end, 707 00:41:18,280 --> 00:41:20,959 Speaker 1: or you may drill a hole, loop the cord through 708 00:41:21,000 --> 00:41:23,680 Speaker 1: the hole and tie it off, and then you give 709 00:41:24,200 --> 00:41:26,680 Speaker 1: the cord a little bit of a twist, and then 710 00:41:26,719 --> 00:41:28,880 Speaker 1: you hold the other end of the cord and you 711 00:41:28,920 --> 00:41:34,000 Speaker 1: start swinging the bull roarer in a circle. As it swings, 712 00:41:34,280 --> 00:41:37,720 Speaker 1: the cord begins to untwist, and then it continues twist 713 00:41:37,800 --> 00:41:41,640 Speaker 1: in the opposite direction before reversing the process. So the 714 00:41:41,680 --> 00:41:44,960 Speaker 1: bull roarer moves along the path of the circle, and 715 00:41:45,000 --> 00:41:47,320 Speaker 1: as it's doing so, it's turning because of the cord 716 00:41:47,360 --> 00:41:51,480 Speaker 1: twisting and untwisting, And this movement through the air creates 717 00:41:51,480 --> 00:41:56,000 Speaker 1: the vibrations that travel as sound. Several factors can influence 718 00:41:56,080 --> 00:41:59,360 Speaker 1: the pitch of that sound. That includes the length of 719 00:41:59,400 --> 00:42:03,920 Speaker 1: cord ear using, which obviously determines the diameter of the 720 00:42:03,960 --> 00:42:07,520 Speaker 1: circular path that the bull roarer is taking. Also the 721 00:42:07,600 --> 00:42:10,560 Speaker 1: frequency with which you are swinging this in a circle, 722 00:42:10,800 --> 00:42:13,440 Speaker 1: the amount of twists that was in the cord, and 723 00:42:13,480 --> 00:42:16,920 Speaker 1: even the plane of rotation, whether it's vertical versus horizontal. 724 00:42:16,960 --> 00:42:21,560 Speaker 1: For example, bull roarers were used by many ancient peoples 725 00:42:21,600 --> 00:42:25,439 Speaker 1: as a means of communication by varying the pitch, which 726 00:42:25,480 --> 00:42:27,880 Speaker 1: again you could do in all those different ways I 727 00:42:27,960 --> 00:42:32,480 Speaker 1: just mentioned. You could send simple messages several miles away 728 00:42:32,520 --> 00:42:35,640 Speaker 1: because the sound would just travel so far. Those low 729 00:42:35,719 --> 00:42:40,120 Speaker 1: frequencies travel pretty well. The fact that you're talking about 730 00:42:40,840 --> 00:42:45,880 Speaker 1: longer wavelengths um and and lower frequencies, the energy is 731 00:42:45,960 --> 00:42:50,080 Speaker 1: much more efficient at far distance travel, and so these 732 00:42:50,120 --> 00:42:54,279 Speaker 1: were used by early civilizations for thousands of years as 733 00:42:54,320 --> 00:42:57,320 Speaker 1: a way for people to send distant messages back and forth. 734 00:42:57,440 --> 00:43:01,239 Speaker 1: Pretty simple messages, but distant ones that could be very 735 00:43:01,239 --> 00:43:05,440 Speaker 1: helpful for early civilizations. In the next episode, I'm going 736 00:43:05,480 --> 00:43:08,279 Speaker 1: to go into more detail about how specific types of 737 00:43:08,360 --> 00:43:12,279 Speaker 1: musical instruments actually work, how they create the sounds they make. 738 00:43:12,920 --> 00:43:15,440 Speaker 1: I'm going to focus on the musical instruments found in 739 00:43:15,520 --> 00:43:19,920 Speaker 1: Western orchestras, because to cover all musical instruments would require 740 00:43:19,960 --> 00:43:22,680 Speaker 1: its own podcast series, and if I were to cover 741 00:43:22,719 --> 00:43:25,560 Speaker 1: how bagpipes works, I would probably need a therapist. But 742 00:43:25,880 --> 00:43:28,640 Speaker 1: I hope you guys enjoyed this overview of the science 743 00:43:29,000 --> 00:43:31,960 Speaker 1: of producing sounds. If any of you out there have 744 00:43:32,000 --> 00:43:35,120 Speaker 1: any suggestions for future topics I should cover, whether it's 745 00:43:35,120 --> 00:43:38,399 Speaker 1: a specific technology, a type of tech like I'm doing now, 746 00:43:38,880 --> 00:43:42,080 Speaker 1: a company in technology, or a very important person in tech, 747 00:43:42,520 --> 00:43:45,359 Speaker 1: or anything along those lines. Let me know. You can 748 00:43:45,360 --> 00:43:48,480 Speaker 1: reach out on Facebook or Twitter. The handover both is 749 00:43:48,560 --> 00:43:53,320 Speaker 1: Tech Stuff HSW and I'll talk to you again really soon. 750 00:43:54,040 --> 00:44:00,760 Speaker 1: Y tex Stuff is an I heart Rate deo production. 751 00:44:01,000 --> 00:44:03,799 Speaker 1: For more podcasts from I heart Radio, visit the I 752 00:44:03,920 --> 00:44:07,160 Speaker 1: heart Radio app, Apple Podcasts, or wherever you listen to 753 00:44:07,200 --> 00:44:12,680 Speaker 1: your favorite shows. 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