Converting hundreds of compositions by Johann Sebastian Bach into mathematical networks reveals that they store lots of information and convey it very effectively
I didn’t need proof myself, but I suppose it’s comforting nevertheless to have it mathematically confirmed.
You really never know what mathematics discoveries can do. Number theory was an useless brach of mathematics, considered an useless endeavor of theoretical mathematics and basically a hobby. Until modern computation and the RSA algorithm gave number theory an use, and without it, the internet as we know it, couldn't exist.
a or an is based on the next words consonant or vowel sound. It's a useless and a use. Because the word use has a y sound not a u sound. An example of a u word that uses an would be an umpire.
One one hand, sure, this seems like a waste of time. On the other, I did get paid to get a masters in literature. So I don't think I'm in a position to judge :P
fair, i guess? when i'm not professionally graphic designing, i shitpost star trek memes, although nobody can convince me that that's not a worthwhile expenditure of my time :)
We know as well as anyone that math is the study of questions we can answer exactly, but which often aren't very important. If you want to talk about something desperately meaningful talk to a philosopher (and keep talking, zing!).
Right now Platonism is the dominant way of thinking about pure math, and in it's lens the questions are treated as literally separate from the material world.
Depends. Will this research allow creating AIs that can compose "in the style of Bach", or even compose "ideal music"... and make a ton of money by selling it as a service to large music producers?
Coming soon: Song of the year, by [some figurehead] (composed and interpreted by AI)
He was! But he overused the harpsichord, in my very humble and unfounded opinion, and it hurts my ears to listen to a lot of his creation. I get why he did (the piano was still a very new creation, and the harpsichord could be more easily heard in concert halls), but it sure does pierce the eardrum these days.
Hmm, what percentage of his stuff was written for organ, I wonder? Wikipedia says that was his claim to fame while still alive, and there's an instrument that still holds up.
Describing subjective art with numbers means it's objectively good now! No. >.<
Math, and even merely counting, as applied to the real world always has a human element intangled with it, even though people like to pretend otherwise. Like, you can't count apples without first deciding what an apple is, where the boundaries of that category are, and declaring them all to be equivalent for your purposes (e.g. one fresh apple = one barely still edible apple). The abstraction of it adds subjectivity.
Anyway the relationship of math with music is interesting nonetheless. It just doesn't have to be about making art objective somehow.