The first sixteen harmonics of a single fundamental frequency played repeatedly at sixteen harmonically related rates.

The first sixteen harmonics of a single fundamental frequency played repeatedly at sixteen harmonically related rates.

 

Sixteen sinusoidal oscillators are tuned to multiples 1 through 16 of a singled specified fundamental frequency, and are used to play repeated short notes (50 ms) at sixteen different harmonically-releated tempi proportional to the harmonic number of each tone. Odd harmonics are sent to the left audio output channel, and even harmonics are sent to the right audio output channel. The user can specify the fundamental frequency, and the duration of one full cycle it will take the sixteen tempi to come back into phase and repeat the cycle.

Some of the patch cords in this patch have been changed to a light color just to reduce the clutter. An ADSR envelope for each note is created by the message ‘0.0625 5 0. 45’ to the line~ object, which sends the amplitude to 1/16 of full amplitude in 5 milliseconds and down to 0 again in 45 milliseconds, resulting in a 50-millisecond note. The amplitude of 0.0625 was chosen so that even when all sixteen notes occur simultaneously their sum will not exceed the capacity of the dac~. (In fact, since the harmonics are split up between the left and right audio output channels, the sum to either channel can never exceed 0.5.)