A bandlimited triangle wave[1] pictured in the time domain (top) and frequency domain (bottom). The fundamental is at 220 Hz (A3).
General information
General definition
Fields of application
Electronics, synthesizers
Domain, codomain and image
Domain
Codomain
Basic features
Parity
Odd
Period
1
Specific features
Root
Derivative
Square wave
Fourier series
Triangle wave sound sample
5 seconds of triangle wave at 220 Hz
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Additive Triangle wave sound sample
After each second, a harmonic is added to a sine wave creating a triangle 220 Hz wave
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A triangular wave or triangle wave is a non-sinusoidal waveform named for its triangular shape. It is a periodic, piecewise linear, continuous real function.
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).
^Kraft, Sebastian; Zölzer, Udo (5 September 2017). "LP-BLIT: Bandlimited Impulse Train Synthesis of Lowpass-filtered Waveforms". Proceedings of the 20th International Conference on Digital Audio Effects (DAFx-17). 20th International Conference on Digital Audio Effects (DAFx-17). Edinburgh. pp. 255–259.
Trianglewave sound sample 5 seconds of trianglewave at 220 Hz Problems playing this file? See media help. Additive Trianglewave sound sample After each...
rises. It can also be considered the extreme case of an asymmetric trianglewave. The equivalent piecewise linear functions x ( t ) = t − ⌊ t ⌋ {\displaystyle...
Rectangular function Pulse wave Sine waveTrianglewave Sawtooth wave Waveform Sound Multivibrator Ronchi ruling, a square-wave stripe target used in imaging...
digital information. A square wave of constant period contains odd harmonics that decrease at −6 dB/octave. Trianglewave: ( t , λ , a , ϕ ) = 2 a π arcsin...
oscillating or alternating current (AC) signal, usually a sine wave, square wave or a trianglewave, powered by a direct current (DC) source. Oscillators are...
sawtooth or triangle signal. Most function generators also contain a non-linear diode shaping circuit that can convert the trianglewave into a reasonably...
A triangle is a polygon with three corners and three sides, one of the basic shapes in geometry. The corners, also called vertices, are zero-dimensional...
sine wave, the relationships between amplitudes (peak-to-peak, peak) and RMS are fixed and known, as they are for any continuous periodic wave. However...
that stationary circle called the base circle, or (equivalently) a trianglewave projected on the circumference of a circle. The involute gear profile...
The Bermuda Triangle, also known as the Devil's Triangle, is an urban legend focused on a loosely defined region in the western part of the North Atlantic...
sometimes called the amplitude. For symmetric periodic waves, like sine waves, square waves or trianglewaves peak amplitude and semi amplitude are the same....
sinc function. Källén function, also known as triangle function Tent map Triangular distribution Trianglewave, a piecewise linear periodic function Trigonometric...
produces a nonsinusoidal repetitive output signal, such as a trianglewave or square wave. The circuit consists of a feedback loop containing a switching...
processor. It supports a total of five sound channels: two pulse wave channels, one trianglewave channel, one white noise channel, and one DPCMTooltip differential...
ring modulation will always have the effect of modulating a trianglewave with a square wave.[failed verification] On an ARP Odyssey synthesizer (and a...
pattern, which is typically a square wave but can also be any periodic pattern (sine wave, trianglewave, sawtooth wave, etc.). Contrast is a measure of the...
between these values and the result is the desired square wave. By comparison, a trianglewave could be produced from the same data simply by setting the...
books and ephemera of the late 17th century. The trace of a trianglewave or a sawtooth wave is a zigzag. Pinking shears are designed to cut cloth or paper...
arguments. The integral of the Dirac delta function. Sawtooth wave Square waveTrianglewave Rectangular function Floor function: Largest integer less than...
purpose pulse channels with 4 duty cycles, and the second APU contains a trianglewave generator, an LFSR-based Noise generator, and a 1-bit Delta modulation-encoded...
where the wave amplitude appears smaller or even zero. Waves are often described by a wave equation (standing wave field of two opposite waves) or a one-way...
\pi ^{2}}{6}}-1\,}}\approx \,0.803\,=\,80.3\%} The pure symmetrical trianglewave has THDF of THDF=π496−1≈0.121=12.1%{\displaystyle \mathrm {THD_{F}}...
Global Information
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