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

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

: Progressions use chords that are structurally similar to one another.

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" A Geometry of Music: Harmony and Counterpoint i...

: Melodies move primarily by short distances (steps).

: The book highlights how jazz musicians and classical composers often solve the same musical "problems" using similar geometric strategies. : Music stays within a small set of

: 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

: Use of "stable" or pleasant-sounding harmonies. 🎵 The "Extended Common Practice" : Melodies move

: One note is perceived as more stable than the others (a "home" key).