THE FINITE WITHIN... THE INFINITE WITHOUT

The radius of a circle was taken to be the hypotenuse of a rectangle. Imaginary sides of the rectangle were drawn above and below the 60 degree angles. The angle is 60 degrees because it was found to accommodate the entire array of notes when laid out according to relative pitch on a fractional grid. (See chapter: Glimpses) When a line was drawn perpendicular to the hypotenuse from the upper corner of the square, a circle and a line were drawn.
This was repeated on the other side and another perpendicular drawn to "G" from 2 of the line at 3. Then, outside of the circle forms were drawn wherever lines intersected. Since the lines were contained within the rectangle, it was called the finite. Since the lines were diverging outside, it was called the infinite.


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