A waveform is the shape of a sound wave over time, and that shape is what gives a sound its character. Two sounds can play the same note at the same volume and still sound nothing alike, and the difference is almost always the shape of the wave. Learn to picture that shape and the words synths use for it, sine, sawtooth, square, stop being a mystery.
The idea applies to any synth or plugin, in any DAW or a browser instrument. A sawtooth is a sawtooth wherever you meet it. None of this is tied to one product.
A waveform is the shape of a sound wave as it changes over time. Sound travels as fast, tiny changes in air pressure, and if you plot how that pressure rises and falls from one instant to the next, the picture you get is the waveform. That shape is what your ear reads as the character of the sound, before any label or instrument name is attached to it.
Most musical sounds come from a wave that repeats, cycling through the same shape over and over many times a second. Two simple measurements describe any such wave. Its frequency is how many times it repeats each second, measured in hertz, and that is what you hear as pitch: repeat faster and the note is higher, slower and it is lower. Its amplitude is how big the wave is, how far the pressure swings from its resting point, and that is what you hear as loudness. But pitch and loudness are only two of the three things your ear notices, and the third is the shape itself.
On a synth, the part that generates a waveform is the oscillator. It produces a repeating wave at the pitch of the note you play, and everything else in the synth then shapes what that wave started. So the waveform is the raw ingredient, and its shape is the first thing that decides whether a sound is smooth or buzzy, hollow or full.
The character that lets you tell a flute from a violin playing the very same note is called timbre, and a large part of timbre comes from the shape of the waveform. Pitch tells you which note; loudness tells you how strong; timbre tells you what it is that is making the sound. Shape is where timbre begins, though a real instrument's timbre also shifts over the life of a note, so the waveform is a strong start rather than the whole answer.
Different waveforms sound different because each shape is made up of a different set of harmonics, and that mix of harmonics is what the ear hears as timbre. A harmonic is a quieter tone sitting above the main pitch at a whole-number multiple of it. The lowest, and usually loudest, is the fundamental, which sets the pitch you name, and the harmonics stacked above it colour the sound without changing that pitch.
The link between shape and sound is fairly direct. A smooth, rounded wave holds only a few harmonics and sounds soft and plain. A wave with sharp corners or sudden jumps holds many harmonics and sounds bright and buzzy. That is why the shape of the wave, and not just its pitch and level, is what your ear latches onto. Change the shape and you change the harmonics, and change the harmonics and you change the character.
This is why the two waves that sit at the extremes are so useful to know. The sine holds no harmonics at all and is as plain as a tone can get, while the sawtooth holds every harmonic and is about as rich as a single wave gets. Every other basic waveform sits somewhere between those two, defined by which harmonics it keeps and how quickly they fade.
Each basic waveform has a sound of its own, set by the harmonics it carries. A sine is the plainest, a sawtooth the brightest, a square hollow and reedy, with the others sitting in between. These are the shapes almost every oscillator can make:
| Waveform | Harmonic content | How it sounds |
|---|---|---|
| Sine | Just the fundamental, with no harmonics at all. | Pure, smooth and round; the plainest tone there is. Good for sub bass and soft, hollow tones. |
| Triangle | Odd harmonics only, falling away quickly, so few of them are strong. | Soft and mellow, a little brighter than a sine but still gentle. |
| Sawtooth | Every harmonic, odd and even, fading off gradually. | Bright and buzzy, the fullest and richest of the basic waves; the classic synth workhorse. |
| Square | Odd harmonics only, with none of the even ones. | Hollow and woody, with a clear reedy edge. |
| Pulse | A square whose width can be adjusted, which shifts the balance of harmonics. | Thinner and more nasal than a square, and its tone changes as you move the width. |
| Noise | Every frequency at once, with no harmonic pattern. | No pitch at all, like static or wind; used for percussion, breath and texture. |
Many oscillators let you blend or switch between these shapes, and some add more unusual ones as well. The clearest way to learn them is to solo one oscillator, play each waveform in turn, and listen for the raw difference before anything else has a chance to shape it.
The square and the triangle carry only odd harmonics, and leaving out the even ones is what gives them that hollow, woody quality, a little like a clarinet. The sawtooth keeps the even harmonics too, which fills the sound in and makes it fuller and brighter. This is one reason two waves can sit at the same pitch yet sound so unalike: it comes down to which harmonics are present.
Any repeating sound, however complex, can in principle be built by adding together simple sine waves at different frequencies and levels. A single sine is the plainest building block there is, and stacking many of them, each at its own pitch and loudness, can reproduce a wide range of steady tones. This idea comes from the mathematics of Fourier, which shows that a repeating shape and a set of sine-wave harmonics are really two ways of describing the same thing.
It cuts both ways. The reason a sawtooth sounds fuller than a sine is that it already is a stack of many sine harmonics, while the sine is a single one. And it is why synths can build such a range of tones from so few starting shapes: combine or layer waveforms, then emphasise or remove parts of them, and you are really adding and subtracting harmonics. Some instruments take the idea to its limit and build a sound from many pure sines directly, which is called additive synthesis.
Real instrument sounds are not perfectly repeating. They start, move and fade, and their harmonics shift over the life of a note, so the neat idea of a fixed stack of sine waves is a useful starting point rather than the whole story. A synth adds that movement back with filters and envelopes, which shape the raw waveform over time. The waveform gives you the ingredients; the rest of the synth decides how they change as the note plays.
Waveforms click into place far faster when you can hear them next to each other while a sound is playing. Reading the theory gets you the map; hearing a sine turn into a sawtooth is what makes it stick.
ARGISH is a self-playing synthesizer. The waveforms this guide describes are the raw tone its oscillators generate, and because it plays itself you can hear that raw tone become music rather than only read about it. Set a mood and a key, build a progression on the chord wheel, and it composes and evolves in the background while you turn knobs and hear what they change. It runs in your browser, or as a plugin in your DAW: an Audio Unit, a VST3, an AAX for Pro Tools and a standalone app.
You can hear it free in your browser first, no install and no account, then decide.
Everything on this page also works by hand on almost any synth, which is rather the point of writing it down.
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