definitions to the spatial grid and the oscillation
structure you can introduce the notion of the global net
grids. Generally, it can be defined as follows:
|2.10.1 - Definition:
|Global net grid = Sum of spatial
The participating spatial grids form usually harmonical
relations. This works for all rational numbers
or numbers with fractional representation.
The term harmony derives from the music and thinks the
harmonious consonance of tones.
If an arbitrarily fundamental tone is chosen and is
applied as 1, the third with 5:4
and the fifth with 3:2 results. All
three tones then compose the sound combination known as
the triad. Thus represent the numbers 1 and
5/4 and 3/2 as
|2.10.2 - Theorem:
|Spatial oscillation structure =
Sum of global net grids
If grid by harmonical relationships stand with each
other in relationship, there exist general reduction
factors. Geometrically seen arise it from overlapping
the grid walls or grid lines. It means that some grid
walls and grid lines fall at least together.
grids then belongs to the nature of the system.