Composite Hierarchies are cosmological setting found in high end fiction, where the overarching setting is detailed in "layers, realms, planes, domains, etc.".
Within such a cosmology, the difference between these layers/planes is actually greater than the difference between physical dimensions, due to each layer containing several dimensions within them. Otherwise, these can be known as metaphysical layers.
In most cases, these meta-layers have a reality-fiction difference, meaning, the difference between each layer (not the dimensions of the layer) is like the difference between reality and fiction. Basically, to a higher layer entity, the lower entity is so insignificant that it can hardly be called real.
Not all composite hierarchies have a reality-fiction difference, and lack of a such difference does not disqualify a cosmology from being classified as composite.
Also, a composite hierarchy still fits into the Tiering System, whereas each individual cosmology should be reviewed on a case-by-case basis and tiered accordingly.