“Music is a mixed mathematical science that concerns the origins, attributes, and distinctions of sound, out of which a cultivated and lovely melody and harmony are made…

…so that God is honored and praised but mankind is moved to devotion, virtue, joy, and sorrow.”  ― Christoph Wolff, “Johann Sebastian Bach: The Learned Musician”

Vi Hart | Doodle Music

From Vi Hart, “Mathermusician” — A visual and musical expression of mathematical symmetry groups. The transformations done to the video are equivalent to the transformations done to the notes. These type of repeating patterns are called frieze patterns. A couple wallpaper groups are also represented. 


True Righteousness

The truly righteous ones do not complain about evil, but rather add justice; they do not complain about heresy, but rather add faith; they do not complain about ignorance, but rather add wisdom. ⎯ Rabbi Abraham Isaac HaCohen Kook