If you like playing notes in a stepwise motion, knowing your scales could be the perfect tipping point to improvement. When you purchase through links on our site, we may earn an affiliate commission.

The mathematical rules for creating musical harmony may be more malleable than thought. Western music theory traditionally holds that chords sound most pleasant when they contain notes separated by ...

A crucial link between mathematics and music is nicely illustrated by the Tonnetz, a geometric diagram representing the harmonic relationships between the notes of the musical scale. An early version ...