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Triangle wave
A triangle wave is a waveform that can be obtained by subtractive synthesis by integrating (lowpass filtering) a square wave.

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 π^{2} / 8.
See also:
Last updated: 02052005 08:14:10
Last updated: 02222005 02:35:42