The Shape of Music by Dmitri Tymoczko
We might therefore ask, how do we combine harmony and melody to make music? In other words, what makes music sound good?
To answer these questions, we need mathematics, but as I and other music theorists have recently shown, we need a kind of mathematics that Pythagoras could not have imagined: the geometry and topology of what mathematicians call “quotient spaces” or “orbifolds.” These exotic spaces contain singularities— “unusual” points that are analogous to the black holes of Einstein’s general relativity—that can be described using only very recent mathematics. Western music can ultimately be represented as a series of points and line segments on abstract shapes in higher dimensions. If we can understand their structure, then the deep principles underlying Western music will finally be revealed.
Source: seedmagazine.com
I co-founded 
