I. The new order of Hexagram notation and rules applied in the full score
1) With the Hexagram, each part relative to vocal or instrumental music can be inserted
in a staff, in precise accord with the corresponding clef.
2) With the Hexagram, any clef of any part relative to vocal or instrumental music can be
modified at will.
3) Thanks to the modality of alternation of the clef, one reduces the use of many ledger
4) Thanks to the method of changing of the clef, the modifications of the alto clef are
5) In the notation inverted, the parts remain in their original position, without inversion
(see APPENDIX 1).
6) In the transposed notation, the parts — music for some wind instruments — must be
written in the score in the original keys (with tones at real pitches). Thus, in the score, all
the tones are notated in their original position, the reading is unified, and the rule is
standardized (see APPENDIX 1).
: The rules outlined above, solve the intrinsic difficulties of Pentagram
notation, and in particular allow one to overcome the contradictions and erroneous
impressions produced by the relations between vertical and horizontal elements in the
score, as between listening and reading. Thus the reciprocal unification of formal and
mathematical logic is achieved. The score is greatly normalized and standardized, is thus
easier and simple to use, making possible greater efficiency and precision.