Sine vs sawtooth wave: pure pitch versus full-spectrum bright

A sine is one pure frequency. A sawtooth is that frequency plus the entire harmonic series, odd and even. Same pitch, opposite ends of timbre complexity.

The simplest possible tone versus one of the most complex.

A sine wave is the simplest possible tone - one frequency, no harmonics. A sawtooth wave at the same fundamental frequency contains both odd and even harmonics, decaying at 1/n. That makes a sawtooth one of the most harmonically rich waveforms available, and a sine one of the most austere. They sit at the same pitch but represent opposite ends of the timbre spectrum.

By TechCompare · Updated

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Frequency Generator

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A
Preset A
440 Hz sine
Preview
B
Preset B
440 Hz sawtooth
Preview

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Option A
Sine wave
Wins 1 of 6 compared specs
Option B
Sawtooth wave
Wins 1 of 6 compared specs

Side-by-side specs

SpecSine waveSawtooth wave
Fundamental frequencySameSame
Harmonic contentNoneAll odd and even harmonics (better on this spec)
Harmonic decay rateN/A1/n
RMS at peak 1.00.707 (better on this spec)0.577
CharacterPure, cleanBright, reedy, full
Best forReference, calibration, hearing testsSynth leads, brass patches

How they differ

A 440 Hz sine devotes all its energy to 440 Hz. A 440 Hz sawtooth contains 440 Hz plus 880 Hz, 1320 Hz, 1760 Hz, and every other multiple, each at 1/n amplitude. The result is a bright, reedy tone with strong upper-harmonic content - the foundation of brass and string synth patches. Both waves have the same fundamental pitch, but the sawtooth spreads its energy across the entire harmonic series which makes it sound louder and fuller at the same volume setting. This is also why the Frequency Generator applies a loudness compensation factor to sawtooth waves - to keep the volume slider fair across waveforms.

Verdict

Use a sine for any application where you need the cleanest possible signal - calibration, tuning references, pure-tone hearing tests. Use a sawtooth when you want a harmonically rich, bright, full-spectrum tone - synth leads, brass-like patches, harmonic-distortion demonstrations.

Hear sine vs sawtooth at 440 Hz

Which should you pick?

Choose Sine wave

Sine waves are the right choice for reference tones, calibration, tuning, frequency response measurements, and any time the cleanest signal matters.

Choose Sawtooth wave

Sawtooth waves are the right choice for synth patches that need brightness and harmonic richness, especially brass-like leads and stacked-oscillator textures.

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