A triangle wave is a waveform named for its triangular shape. Waveform quite literally means the shape and form of a signal, such as a wave moving across the surface of water, or the vibration of a plucked string. ...

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 (proportional to the inverse square of the harmonic number as opposed to just the inverse), and so its sound is smoother than a square wave and is nearer to that of a sine wave. bandlimited triangle wave pictured in time and frequency domains File links The following pages link to this file: Triangle wave Categories: GFDL images ... In acoustics and telecommunication, the harmonic of a wave is a component frequency of the signal that is an integral multiple of the fundamental frequency. ... A square wave is a kind of basic waveform. ... In trigonometry, an ideal sine wave is a waveform whose graph is identical to the generalized sine function y = Asin[ω(x − α)] + C, where A is the amplitude, ω is the angular frequency (2π/P where P is the wavelength), α is the phase shift, and C is the...

It is possible to approximate a triangle wave with additive synthesis by adding odd harmonics of the fundamental, multiplying every (4n-1)th harmonic by -1 (or changing its phase by π), and rolling off the harmonics by the inverse square of their relative frequency to the fundamental. Additive synthesis is a technique of audio synthesis which creates musical timbre. ... The fundamental tone often referred to simply as the fundamental, is the lowest frequency in a harmonic series. ...

This infinite Fourier series converges to the triangle wave:

See also:

• Sine wave
• Sawtooth wave
• Square wave
• Waves
• Sound