Waveform Circularity from Added Sawtooth and Square Wave Acoustical Signals
Bogusław Fugiel · Music Perception An Interdisciplinary Journal · 2011
An algorithm is given with the purpose of building complex tones for which waveform circularity is shown and for which pitch circularity may be heard. The tones consist of sawtooth and square acoustical waves. It is proposed that a perceptual illusion, analogous to those described by Shepard (1964), can be then created. The signal may comprise an infinite number of harmonics, as in the case of natural sounds. Using the equitempered scale, an appropriate mathematical formula is given.