Magic Staircase by Gary Cuba (803)776-5295 -- developed 1/31/86. All copyrights waived, but mention the author! Will the tones ever stop ascending? This is a musical illusion based upon perceptual circularity of widely space tones whose volumes are defined as a sinesoidal relationship TO their frequency. There are 4 tones spaced an octave apart. each tone advances in frequency by one half-note until it is within 1/2 note of the NEXT octave. at this POINT it starts over again at its beginning frequency. Each tone's volume is set according to its position along a sinewave. See Roger N. Shepard, 'Circularity in Judgements of Relative Pitch', The Journal of the Acoustical Society of America, (December 1964).