A perfectly steady tone is boring. Nothing in nature holds perfectly still. Singers wobble their pitch slightly. Violinists rock their wrist on the string. Guitar amps from the 1950s had a literal pulsing light bulb inside that made the volume throb.
This wobbling is modulation: using one signal to control another. And the thing doing the controlling is an LFO - a Low Frequency Oscillator. It's an oscillator just like the one making your sound, except it's too slow to hear. Instead of making a tone, it makes a movement.
Enable LFO 1 below. Listen. Then enable LFO 2 on a different target and let them interfere with each other. Things get strange quickly.
A plain tone is a wave that never changes. Modulation means using a slow invisible wave (the LFO) to push and pull something about the audible wave. The two most common targets are amplitude (volume) and frequency (pitch).
Steady amplitude, steady pitch. A test tone.
Volume rises and falls. The wave swells and shrinks.
Pitch wobbles up and down. The wave squeezes and stretches.
Singers do this naturally. Their vocal cords oscillate slightly above and below the target note. Violinists do it by rocking their wrist on the string. It adds warmth and expression.
A completely steady pitch sounds robotic. Even a tiny wobble makes it feel alive.
The sound pulses louder and softer. Old Fender guitar amps had a circuit that did this - it literally varied the signal level using the glow of a light bulb hitting a photoresistor. The faster the bulb pulsed, the faster the tremolo.
Sine gives smooth, organic wobble - the most natural sounding. Square snaps between two values with no in-between, like a switch being flicked. Sawtooth ramps in one direction then snaps back. Triangle is like sine but with sharper corners, a bit more mechanical.
Natural vibrato is never a perfect sine wave. It is messy. The messiness is the beauty.
When the LFO rate gets fast enough, modulation stops being "expression" and starts creating entirely new timbres. The pitch moves so rapidly it fuses into a different kind of sound - a texture, a buzz, almost a new instrument.
Modulation is the secret to making synthesisers sound alive. A static waveform at a fixed frequency is a test tone. Add a little wobble and suddenly it breathes.
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