Assignment 4 is to use nonlinear distortion to make four sinusoids regroup themselves to form two lower tones, in two different ways. The result is a paradoxical sound in the sense that your ears are alternately forced to merge and split streams of sound. Here is what it should sound like.

To do this:

• Make four oscillators, with frequencies in the ratios 10:12:15:16, and with controllable amplitudes.
• Make two "clip~ -0.1 0.1" objects.
• Make each oscillator able to linearly pan from one clip~ object to the next. Now, if the two oscillators of frequency 12f and 16f (i.e., the ones in the ratio 12:16) are pannned to one clip~ object, and if their amplitudes exceed 0.05 each, you'll hear a fundamental frequency of 4f; and if the others are panned the other way, they'll combine to make a fundamental of 5f; you'll hear a major third. Panning in a different way, you'll have 12f and 15f in one clip~ object and 16f and 10f in the other; the fundamental frequencies are then 3f and 2f, once you start clipping.
• Make a simple sequencer that exploits this by: (1) ramping amplitudes up from 0 to 0.05 with the pairings (12,16) and (15, 10); (2) ramping the amplitude up further so that you hear the first two distortion products; (3) ramping back down; (4) WHILE THE AMPLITUDES ARE LOW change the panning to (12, 15) and (16, 10); (4) ramp the amplitude back up to get the other tones, which you should hear emerge from the same cluster of four sinusoids.
• Then, for the sake of the contrast, pan the oscillators back to the first configuration without stopping to reduce the amplitudes so that you hear the 3f and 2f tones themselves merge into one tone at f and then split back into tones at 4f and 5f.