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 vertical offset.
A cosine wave is also said to be sinusoidal, since it has the same shape but is shifted slightly behind the sine wave on the horizontal axis:
Any wave shape, such as square waves or even the irregular sounds waves made by human speech, is actually a collection of sinusoidal waves of different periods and frequencies blended together. The technique of transforming a complex waveform into its sinusoidal components is called Fourier analysis.
The human ear can recognize single sine waves because they sound "clean" or "clear" to us; some sounds that approximate a pure sine wave are the "beep" of a computer speaker, or a crystal glass set to vibrate by running a wet finger around its rim.
To the human ear, a sound that is made up of more than one sine wave will either sound "noisy" or will have detectable harmonics.
Sinewave, the one-man studio project of Vancouver's Mark Wiebe, has been on the cutting edge of underground Canadian electronic music since the 2001 launch of Interplanetary Ridicule, an album of "weird space lounge", b-movie samples and finely diced drum-and-bass beats.
To turn Sinewave from a studio-only recording project into a viable live entity, Wiebe recruited long-time friend and collaborator Jeremy Unrau for bass and keyboard duties, with Wiebe on guitar, keyboards and vocals.
Besides producing as Sinewave, Wiebe writes and performs with Vancouver shoegazers Guitaro (guitaro.ca), live electronic duo Helpcomputer (helpcomputer.ca) and his electro-pop alter-ego Markattack (markattack.ca).