The retreat from tonality has not resulted
in completely disordered structures,
but in the new order: dodecaphony
with the tonal series, where the
classical patterns – the chords, are
replaced by the new patterns: permutational
twelvetone series. Isometric transformations
of tonal music are replaced by permutational
symmetries, where the invariant remains the
twelvetone material
(mod 12) (Fig. 6: A Schoenberg 
Wind quintet, op.26, where the basic series and
their retrograde and retrograde inversion are visible only after the
vertical reduction mod 12).
This way, the static
symmetry of the classical tonal system is replaced by
the dynamic permutational symmetry of a serial system:
the classical symmetry is replaced by its generalization 
colored (permutational) symmetry (Fig. 7).
