More live blogging
The legacy of Helmholtz.
they're using slow fourier transforms instead of fft. sft!
they're running something very sci-fi-ish, playing FM synthesis. (FM is really growing on me lately.) FM is simple and easy, w only two oscillators, you get a lot of possible sounds. They modulate the two modulators to forma sphere or something. You can select the spheres. They project the complex plane on the the sphere.
you can change one Fourier thing and it changes the whole sphere. (I think I missed an important step here of how the FM is mapped to the sphere and how changing the coefficients back to the FM.)
(Ok, I'm a bit lost.)
(I am still lost.)
Fourier scratching: "you have a rhythm that you like, and you let it travel."
Ok the spheres are in fourier-domain / time-domain paris. Something about the cycle of 5ths. Now he's changing the phase of the first coefficient. Now there are different timbres, but the rhythm is not changing.
(I am still lost. I should have had a second cup of coffee after lunch.)
(Actually, I frequently feel lost when people present on maths and the like associated with music. Science / tech composers are often smarter than I am.)
you can hear the coefficients, he says. There's a lot of beeping and some discussion in german between the presenters. The example is starting to sound like you could dance to it, but a timbre is creeping up behind. All this needs is some bass drums.
If you try it out, he says, you'll dig it.
Finite Fourier analysis with a time domain of 6 beats. Each coefficient is represented by a little ball and the signal is looping on the same beat. The loops move on a complex plane. The magnitude represents something with fm?
the extra dimension from Fourier is used to control any parameter. It is a sonfication. This approach could be used to control anything. You could put a mixing board on the sphere.
JMC changed the definition to what t means to exponentiate.
Ron Kuivila is offering useful feedback.