On Tue, 9 Nov 2010, João Pais wrote:
in that case, I'll have little interest in your solution.
Hey, I'm making an abstraction, which you can modify to make it work the way you want, and I promise to accept your version in GridFlow (though perhaps under a different name). What's wrong with that ?
I'm just alerting to what going on to this terrain might involve, as for long pitch hasn't been reduced to midi integers. like if someone releases an oscilator that doesn't accept values behind commas, no one will find it useful.
The analogy doesn't hold that much, because oscillators use non-integer midi numbers a lot more often than a score needs to.
I'm not really against microtonal, I just don't use it by myself, and I don't see myself using them anytime soon. I don't work in a music department either.
I'm saying to notate these things in the picture.
ok... hmmm... I may try something later, but you're still not telling me how someone would pick a number of ± cents by clicking in a certain way inside of the box. How would that happen ?
you could display some of these with a cluster, indicating the top and bottom values, and the normal cluster line to notate it's a cluster.
A probability distribution is not just an interval, it's a likelihood associated to each value. (Well, often a probability distribution isn't even an interval, but that's another story)
I have never seen a pitch as a complex number, but I don't really know what is a complex number,
I was more or less joking.
It's a math gimmick that was found to allow to shorten a lot of formulas, apart from making them weirder. For example, a complex pitch is an ordinary pitch and a decay speed (of the note's volume) expressed in the same number (that's both a shortcut and something weird).
I didn't have much math in high school.
When I was in school, complex numbers were generally avoided. Even in grade 13 physics, were they'd have fitted well, they were avoided. I had to wait till the mid year of a university degree to have a course on them.
as for the matrix, I guess the word you're looking for is "chord"? (or a cluster, which is a specific type of chord)
No, I'm not looking for a word. A matrix is another math gadget "bigger" than a complex number, and sometimes you can do funny things with them. If one made an oscillator whose pitch is a matrix, a single oscillator would output several signals at once (!!!).
I mentioned those things because I was just guessing what kind of things one could invent, which would make microtonality just not complete enough anymore, so I picked a few things that a mathematician might be curious to try.
But you can use complex numbers in pd already, using [fft~] or [cpole~]. I made a song based on [cpole~] called I'm Just a Simple Pole in a Complex Plane.
| Mathieu Bouchard ---- tél: +1.514.383.3801 ---- Villeray, Montréal, QC