Hello guys,
my 2 cents to this thread ( a bit too late, I guess )...
First, there is surely a lot af maths in music. Yes, rhythmical patterns, intervals, chord progressions, tensions etc. All figures, you just can't go without them.
Now Bach had used the math proportions to compose not only the Goldberg Variations - actually all of his music, and I would rather mention any Fugue of him as the best example. But , was it only the use of mathemathical formulae what made him a genious composer?
We can as well speak about the proportions in painting arts, which are pure mathemathics. I guess any student of any art college is theoretically able to paint a picture having perfect proportions. But , will all these pictures regarded later as the masterpieces? It's a human touch, maybe slight imperfectness, what makes us hold our breath as we look at the paintings of Picasso or Da Vinci, and not the mathemathics behind them. It is something what I just fail to describe.
Once again - it all can not work without maths. But the art begins exactly where the maths ends.
On my humble opinion....
Now, for the post which gave birth to this thread - I think pilorius could have mentioned aleatoric - the branch of the atonal music, in which the mathemathical equation is being described with the musical means ( intervals, microtonal intervals...). If yes, then it goes in many respects back to one another thread here - STOCKHAUSEN . Whether such music can have a real emotional response in the audience, is a question which left that time unanswered. I can only say, any orchestra performing only this kind of music has to be ready to face the serious financial troubles...Well, finances are maths as well...
cheers
Andrew