B. The "Complete staff" of the Hexagram
Illustration: After having formed the Hexagram "Great staff" of 13 lines by means of a
symmetrical extension from "Middle-c" as a center line, according to the modalities of
the binary system and of graduality, then by evolving and duplicating a uniform staff one
level above the "Treble staff" and another uniform staff one level below the "Bass
staff", including the "Great staff" of 13 lines, one forms the "Complete staff" of 27 lines
of the Hexagram, which combined with the transitory natural ledger lines, constitutes a
group of scales of 8 octaves. The formal logic and the mathematical logic of the four
different levels of the "Complete staff" are unified and yet symmetrical, identical but
also differentiated, as in figures 4, 5, 6, and 7:
Figure 4) Unified and symmetrical figure on the "Complete staff" of the Hexagram
Figure 5) Scale structure on the "Complete staff" of the Hexagram
Figure 6) New symmetrical composition on the "Complete staff" of the Hexagram
Figure 7) Scale system on the "Complete staff" of the Hexagram
Demonstration: Four different sets of six lines read like a single uniform set of six lines;
a single uniform set of six lines reads like two different sets of three lines — precisely as,
on the Pentagram the combination of the three lower lines of the "Treble staff" with the
three upper lines of the "Bass staff".
Conclusion: The range of notation is now complete, the addition of ledger lines is
reduced or avoided; the reading of the notes has been unified, the rules simplified. The
structure of four levels grouped together in a single form, comprises all the ranges of
executable tones of both the treble and bass register systems.