A Geometry Of Music: Harmony And Counterpoint I... -

: Music stays within a small set of notes (like a specific scale) over a period of time.

: This framework helps composers find new, undiscovered scales and chords that still satisfy the human ear's preference for symmetry. MTO 17.3: Hook, Review of Tymoczko, A Geometry of Music A Geometry of Music: Harmony and Counterpoint i...

Dmitri Tymoczko's (2011) provides a rational foundation for tonality by representing musical chords and scales as points in multidimensional geometric spaces. 🎵 The "Extended Common Practice" : Music stays within a small set of

: Progressions use chords that are structurally similar to one another. 🎵 The "Extended Common Practice" : Progressions use

: Efficient voice leading (moving from one chord to another with minimal change) corresponds to short distances in geometric space.

: The book highlights how jazz musicians and classical composers often solve the same musical "problems" using similar geometric strategies.