Pitch bracket notation is a new music notation that is easy to read and write, illustrates mathematical patterns in music, and allows algebra to be applied directly to the notation.
Instead of a traditional staff, pitch bracket notation uses a melody line. Notes are drawn as dots on the melody line. Melody lines have a particular pitch associated with them just like staff lines, but this pitch may be changed by drawing a pitch bracket. Pitch brackets add or subtract a number of scale steps to the melody line. The different kinds of brackets (ie. parenthesis, angle, square) add different numbers of scale steps to the melody line. The direction of the brackets, opening or closing, determines whether to add or subtract scale steps.
Please check out my website to see a detailed, illustrated introduction to pitch bracket notation. There are also many examples and blog posts to check out.