Russell
"The axis of the controlling plane of each elemental line has been extended to its opposing focal point and attached to its opposite element. This is indicated by rectangles in order to call attention to their parallel positions. The universal gyroscope assorts all states of motion by their planes of gyration. Like planes seek each other. The four tones of any octave exactly equal four tones of any other octave in mass energy. To crowd their accumulated forces into smaller volume does not in any way alter their energy." [Mathematical Relations are Constant]
Hughes
IN tracing the origin of a harmony, or family of sounds, all divisions must come out of the one, or unit. Two powers are at work—cohesion and separation; a truth continually dwelt upon by the Greek philosophers. In the diagram, the note C may be considered as central, or as placed with four tones below and two above itself. [Harmonies of Tones and Colours, Diagram II - The Twelve Keynotes1, page 23]
See Also