Composer Reveals Musical Chords' Hidden Geometry Date: July 7, 2006 Source: Princeton University Summary: Composers often speak of fitting chords and melodies together, as though sounds were ...

A musical chord can be represented as a point in a geometrical space called an orbifold. Line segments represent mappings from the notes of one chord to those of another. Composers in a wide range of ...

It's very simple to join one chord to the next in the context of a chord progression, and one of the tools in your armoury for achieving a polished musical effect is to use what we call, 'inverted ...