Longstaff, Jeffrey Scott (2005) Page of
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| Just as with the inclination numbers, the same vector signs are also used for peripheral inclinations which are parallel to the longer transverse ones, particularly demonstrated in the “scales assembled from short peripheral directions” (Fig. 29).
Considering the sequences of vector signs, translations into Labanotation direction symbols (Longstaff, 2001) demonstrate that each vector sign, or ‘free space line’ can be translated in at least four possible ways; as either two possible transverse lines, or two possible peripheral ones, all of these being exactly parallel (Fig. 30). This is an example of theories of harmony embedded the notation, as parallelism between transverse and peripheral lines is only true in an icosahedron (dimensional-planes) but not for 45° planar diagonals (see Fig. 15). The identity of each vector sign is its orientation, while its size and location can change. Sequences with vector signs also include signs for dimensions together with signs for inclinations, for example in “scales combined from primary-directions with dimensions and volute-links which are traversed twice” (Fig. 31). When translated into Labanotation these dimensional signs are found not to refer to positions, but must be translated into dimensionally oriented lines of motion (Longstaff, 2001).
These dimensional signs are similar to those used earlier and considered to be positions (see Fig. 18) however in the notated sequences the signs can properly be considered to be dimensional vectors (dimensionally oriented lines of motion). In the same way as inclinational vector signs, the dimensional vectors might also occur either as transverse dimensions (Fig. 31) or as dimensional lines in the periphery (Fig. 29). This reveals again theories of harmony embedded in the signs as the distinction between transverse and peripheral dimensions only occurs with dimensional-planes (icosahedron).
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