If you were wondering just what exactly are the properties which fractals and algorithms have that allow them to generate music similar to what humans make, then this is your place. Frequently it's an aperiodicity but which isn't completely random or even pseudo-random. There's structure but it's often open ended. Remember when there was a thread with a bunch of number sequences in it and the comment was made by me that a person minimally needs 1 hour of music to play in order to be considered a professional performer? Of course several ways of accomplishing that are to listen to CD's, attend concerts, buy songbooks, find teachers etc... and we should persue all of them.Yet just about all of the COMPOSERS in the classical vein, although they always say a trained composer makes better music than any system, have studied the use of fractals, algorithms etc... If you start talking about it, it's not like they say what's that? They've usually already explored it. So, it's not just for programming computers to make music.One of my favorite comments by one such a person was that he liked variety, so it was more interesting to him when, if a system was being used, is if it was broken. Breaking it somewhere around the golden mean seems intuitive (which is yet another system). My Korean composition professor, who is a big fan of Eastern European classical music especially the Polish composer Lutoslavski, told me to write ALL of my rhythms for classical music using the golden mean/fibonacci series in a certain way. Where, for example, 3/4s of the way through there was some variety within two measures. Then again at 3/4s through 4 measures which includes the first two already discussed. And again at 3/4s through 8 measures. Anyway, if you're so inclined to search for meaning within mathematical "systems", I came across this page which has about 147 number sequences 1/3rd of the way down the page.http://www.research.att.com/~njas/seque ... s.htmlHere
is another one with probably thousands: http://www.research.att.com/~njas/seque ... Aa.htmlNot
all of them seem musically useful to me and I only looked at the one's with an asterisk which are supposed to be frequently resorted to by mathematicians making them more important in the math world. How to translate these into musically meaningful ideas will be the topic of the next posts in this thread.