Generator-offset property: Difference between revisions

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Proposition 1 (Properties of SGA scales): Corrected statement and proof relating to tempering the SGA scale
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# S = aX bY bZ is obtained from the (single-period) mos aX 2bW by replacing all the W's successively with alternating Y's and Z's (or alternating Z's and Y's for the other chirality).  
# S = aX bY bZ is obtained from the (single-period) mos aX 2bW by replacing all the W's successively with alternating Y's and Z's (or alternating Z's and Y's for the other chirality).  
# The two alternants differ by replacing one Y with a Z.
# The two alternants differ by replacing one Y with a Z.
# If len(''S'') is odd, ''S'' has the property that the following operations result in a mos: setting L = M, and setting M = s.
# ''S'' has the property that the following operations result in a mos: setting L = M, and setting M = s.


In particular, odd GO scales always satisfy these properties (see Proposition 2 below).
In particular, odd GO scales always satisfy these properties (see Proposition 2 below).