User:Nick Vuci/Moments of Symmetry: Difference between revisions

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 == Spectrum of MOS ==
-[[File:MOS Spectrum.gif|thumb]]
+[[File:MOS Spectrum.gif|thumb|The complete MOS spectrum for a 6-level horogram.]]
-The '''MOS spectrum''' is the sequence of MOS that appear as a generator moves through all possible positions within a fixed period. Each point in this sweep defines a generator–period pair that yields an MOS, producing a full map of where two-step structures occur.
+As a generator moves through all possible positions within a fixed period, MOS emerge as specified ranges bounded by equal divisions. This spectrum is symmetric and mirrored at the midpoint of the period, with generators larger than half the period produce the same MOS as their complements.
-=== Core properties ===
-* The spectrum is bounded by the equal divisions that mark the range of distinct L/s pattern formation.
-* It is symmetric (mirrored) around the midpoint of the period, because generators larger than half the period produce the same MOS as their complements (period − generator).
 == Formal definitions and conditions of MOS ==