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A 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).

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 .

Topics: Triangle Wave, Triangle Inequality, Triangle New York...

TriangleFor alternate meanings, such as the musical instrument, see triangle (disambiguation). A triangle is one of the basic shapes of geometry: a two-dimensional figure with three vertices and three sides which are straight line segments. Types of triangles Tri	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).	Triangle inequalityIn mathematics, the triangle inequality is a statement which states roughly that the distance from A to B to C is never shorter than going directly from A to C. The triangle inequality is a theorem in spaces such as the real numbers, Euclidean space, Lp s
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