AUD · Audio tools

Sawtooth Wave Generator

sawtooth5.0 ms

sawtooth · 1000 Hz · -6 dBFS

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Generate a sawtooth wave

Download a WAV file holding a 1 kHz sawtooth at -6 dBFS. The sawtooth carries the densest spectrum of the four basic shapes, which is why it is the signal filters are usually demonstrated on.

Every harmonic, falling as 1/n

A sawtooth contains the fundamental and every harmonic above it, odd and even, each at 1/n amplitude. A 1 kHz saw has energy at 2 kHz at half the level, 3 kHz at a third, 4 kHz at a quarter, and on upward until the band runs out.

A square holds the same 1/n slope but skips every even harmonic, so a sawtooth has roughly twice the spectral density at the same fundamental.

Subtractive synthesis

Removing content only works when the content is there to begin with. Sweeping a low-pass filter down a sawtooth moves through a continuous series of harmonics and produces the smooth timbral change the technique is built on. The same sweep on a triangle runs out of harmonics almost immediately.

Band limits

The series is cut off at the Nyquist frequency, 24 kHz at a 48 kHz sample rate. A truncated series overshoots at each reset of the ramp, so the sharp vertical edge shows ripple on a scope. That is the band limit, not an error in the file.

Level

The level is peak. A sawtooth’s RMS sits about 4.8 dB below its peak, so at -6 dBFS peak it measures around -10.8 dBFS RMS, quieter than a square at the same setting.

Other shapes

The square gives odd harmonics only, the triangle a far gentler series, and the sine none at all. To set frequency, level, or duration yourself, use the full Tone Generator.

Frequently Asked Questions

A 1 kHz sawtooth at -6 dBFS peak, 10 seconds long, in stereo at 48 kHz and 16-bit. The full Tone Generator changes any of those.

A square holds odd harmonics only. A sawtooth holds every harmonic, odd and even, each falling as 1/n. That makes its spectrum twice as dense and gives it a brighter, buzzier character at the same fundamental.

Because it contains the most harmonic material to remove. A filter sweeping down a sawtooth has energy at every harmonic to work on, where a square skips the even ones and a triangle runs out of content quickly.

Yes. Like a square, the harmonic series is cut off at the Nyquist limit, and the truncated sum overshoots at each reset. At 48 kHz that limit is 24 kHz.

Generate one signal

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