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Chapter 15 · From a voice to numbers

From your voice to a wiggle

By the end of the last chapter, you could follow a radio wave through its whole life. A transmitter presses a message into a carrier, an antenna throws it, it spreads and fades its way across town, it slips through walls or doesn't, and a receiver pulls its one faint station out of a roomful of others. The radio part of radio is, honestly, done.

But all this time, one guest has sat quietly in every picture: the amber wave. The message. We hid it in a carrier's height back in chapter 5, gave it a steadier ride in chapter 6, buried it in hiss and hauled it back out, and never once asked where it came from. A voice is a wiggle in the air. A transmitter needs a wiggle in a wire. Somewhere between your lips and the antenna, the message has to change worlds.

A drum skin that listens#

Remember what your voice actually is. Back in chapter 1, talking meant making the air wiggle back and forth, and that wiggle spreading out to someone's ear. Air that wiggles pushes on everything it touches: your eardrum, a window pane, dust in a sunbeam. So here is an idea. Put something in its path that is very easy to push, and watch what the pushing does.

Stretch a skin, thin and light as you can make it, like the head of a tiny drum. When a voice reaches it, the air shoves the skin in and out, in perfect time with the wiggle. Speak louder and it swings farther; hum lower and it swings more slowly. The skin has a fancy name, the diaphragm, but it is honestly just a drum skin that listens.

Now the secret behind the skin. Glue a small coil of wire to its back, and hold a magnet just beside the coil. About two hundred years ago, Michael Faraday noticed something wonderful: a wire moving near a magnet gets a little electrical push. Move the wire one way, the push goes one way; move it back, the push flips. Move it faster, the push grows. So as the skin trembles, the coil trembles with it, and a trembling voltage appears on the wire. Air wiggles the skin, the skin wiggles the coil, the coil and magnet write the wiggle out in electricity.

Look at what just happened. The voltage on that wire rises and falls with exactly the same shape as the sound in the air. Same pattern, new material. A doesn't record sound; it translates it. The pattern hops from air into copper, and the pattern is the message. Chapter 1's one big idea, wearing work clothes: a wave carries the pattern, not the stuff.

skincoilmagnetmicrophonemagnetcoilskinspeaker (the same machine, backward)a wiggle in airthe same wiggle, in coppera wiggle in air, again
One wiggle, three homes. Sound rings push the microphone's skin, the skin wiggles a coil beside a magnet, and the same shape travels down the wire in amber, as voltage. At the far end the identical parts run in reverse, and the wiggle steps back out into the air.

The same machine, run backward#

Now for a symmetry so tidy it feels like a joke. Take the same three parts (skin, coil, magnet) and instead of listening to the wire, push a wiggling voltage into it. A current flowing through a coil near a magnet gets shoved, the mirror image of Faraday's discovery. The coil jumps in time with the voltage, the skin jumps with the coil, and the skin shoves the air. Out comes sound. That is a speaker, and it is a microphone run backward.

This isn't just a cute resemblance; the machines really are interchangeable. Plug a pair of plain wired headphones into a recorder's microphone socket, talk into one earcup, and you will capture a thin, tinny, but perfectly real copy of your voice. Headphones are microphones, just badly shaped ones. One design, two directions.

So the amber message wave has been your voice all along, living in copper. A microphone births it, the radio carries it across town, and a speaker at the far end sets it loose in the air again, where an ear can finally catch it.

What a voice really looks like#

There is one more honest thing to see before we move on. Every message in our figures so far has been a gentle, swoopy curve, and chapter 2's was the purest wiggle of all: one round shape, repeating forever. Real voices are not like that. Put a real "ahh" next to a sine wave and it looks like a mountain range next to a rolling hill.

The sine wave from chapter 2: one pure, round wiggle, repeating forever

A voice saying “ahh”: lumpy and crowded, yet the same little shape repeats

How lumpy, exactly? Try it below. There is no microphone here, just honest math drawing what each kind of sound looks like once a microphone has translated it. Press the buttons and watch the wiggle slide past, the way it would race down the wire.

the wiggle slides past →

Lumpy, but look closely: the same little shape repeats over and over, at the pitch of your voice.

Say a sound, on paper. A hum is a deep buzz with overtones stacked on top; a vowel is lumpy but repeats at the pitch of your voice; a whistle is nearly a pure sine; and a hiss never repeats at all.

Give the hiss an extra look before you leave it. "Sss" has no pitch, no repeat, no pattern: just roughness, fresh every instant. You have met that shape before, and not as a friend. It is exactly what the everlasting hiss of the noise floor looks like. Noise, it turns out, isn't some exotic enemy; it's the sound your own mouth makes when it says "sss". Keep that in your pocket for the last stretch of the book.

A wonderful secret#

So the message is real now. It starts as breath, becomes a trembling skin, then a trembling voltage: a wiggle a transmitter can finally take hold of. The microphone and the speaker are one machine, passing one pattern back and forth between air and electricity.

But look once more at those waveforms. Next to the tidy sine we have leaned on for thirteen chapters, a real voice looks hopelessly complicated, all lumps and spikes and fur. How could anyone do careful engineering with a scribble like that? Here is the secret, and it may be the most beautiful one in the whole book: every one of those lumpy waves is secretly built from sine waves. Plain, pure, chapter-2 sine waves, stacked in just the right amounts. The recipe is next.