Overtones are gifs built with composite waveforms. Each of the 31 programs written in Processing generates a gif using slightly different wave formulas. In each case the program calculates two waves, one each for the horizontal and vertical axes (rows and columns of pixels). As in a sine wave, a frequency determines the number of waves within the frame. The phase changes with each frame, moving the waves generally from left to right. A complex form of a sine wave or similar waveform determines the amplitude.The amplitude is applied to the z axis, the x and y axes being fixed by the grid of pixels. An amplitude calculation is made for both the rows and the columns of pixels in the frame, and the two are added together to place each pixel forward or back in space.
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