Ternary scale theorems: Difference between revisions

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== Proposition 3 (Properties of even generator-offset ternary scales) ==
== Proposition 3 (Properties of even generator-offset ternary scales) ==
A primitive generator-offset ternary scale of even size where the generator g is an even-step (i.e. g subtends an even number of steps) has the following properties:
A primitive generator-offset ternary scale of even size where the generator g is an even-step (i.e. g subtends an even number of steps) has the following properties:
# It is a union of two primitive mosses of size ''n''/2 generated by g
# It is a union of two primitive mosses of size ''n''/2 generated by g; thus it is a [[flought scale]] obtained by taking two offset copies of said primitive mos.
# It is ''not'' SV3
# It is ''not'' SV3
# It is ''not'' chiral
# It is ''not'' chiral