A Geometry Of Music: Harmony And Counterpoint I... Apr 2026

: 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

: Progressions use chords that are structurally similar to one another. A Geometry of Music: Harmony and Counterpoint i...

Tymoczko argues that Western music is not defined by a narrow "common practice" period (1680–1850). Instead, he proposes an spanning from the late Middle Ages to contemporary jazz and rock. By analyzing composers from Bach and Mozart to Miles Davis and the Beatles, he demonstrates that they all navigate the same geometric landscape to create "pleasing" sounds. 📐 The Five Principles of Tonality : This framework helps composers find new, undiscovered