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Triangle WaveA triangle wave is a waveform that can be obtained by subtractive synthesis by integrating (lowpass filtering) a square wave. | | A bandlimited triangle wave pictured in the time domain (top) and frequency domain (bottom). The fundamental is at 220 Hz (A2). |
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Like a square wave, the triangle wave contains only odd harmonics. However, the higher harmonics roll off much faster than in a square wave, and so its sound is smoother than a square wave and is nearer to that of a sine wave. It is possible to approximate a triangle wave by additive synthesis, by adding odd harmonics of the fundamental, rolling them off with frequency faster than with a square wave. The infinite series will converge to a triangle wave. This infinite Fourier series converges to the triangle wave: -
Note that its peak amplitude is exactly . See also: *Sound
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