(AKA "The Molluscum Contagiosum 12x12 Triangle").
For audio (1.2mb mp3), click here (album version, but remixed for better mono summing).
And here's a version up to the 16th harmonic (added to the original recording). A little extraneous, but interesting!
Using my trusty Akai Headrush pedal, I set up a loop of about two seconds and then add layers going up the harmonic series (the notes one gets from splitting a string in half, thirds, etc.) and dividing the bar into the corresponding fraction. I speak the above pattern of numbers so that the whole thing stays symmetrical (the extra "1" on the end of each line is just for looks!)
The first loop is one in a bar on the tonic (very low... using
fold phonation!): "1"
*The intervals are meant to be "just" or "harmonic" intervals
(those you get naturally by dividing a string into fractions), but my
pitching's a little wonky. The reinforcing of octaves makes all sorts
of nice stuff come
it. (i.e. 5 in a bar and 10 in a bar are both major 3rds). Make sense?
so. It's apparently known as a Fourier Transform in maths circles,
an even vague understanding of such eludes me thus far. The below pic
what it looks like in Protools (recording software)... pretty, eh!
©Mal Webb 2003