Library
The role of the Golden Ratio in musical harmony
The Golden Ratio, often represented by the Greek letter Phi (Φ ≈ 1.618), is a mathematical ratio found in nature, from the spirals of galaxies to the structure of our planet.
You know more about music than you think.
Musical Awareness. Perhaps you've never studied harmony. Maybe you can't explain what a dominant is, write a scale, or recognize an interval by name. Even so, when a melody hangs suspended...
Ervin Wilson's Musical Theory: Geometry, Sound, and Recursion
Ervin M. Wilson (1928–2016) is one of the most formidable and innovative figures in the history of music theory, physical acoustics, and microtonality. While traditional Western music theory...
Julián Carrillo and the 13th Sound: listening between the notes
Sound · History · Musical Imagination Between two adjacent keys on a piano, there are sounds that the piano cannot play. Julián Carrillo dedicated a good part of his life to exploring them: to listening to them,...
