User:Inthar/MV3: Difference between revisions
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Definition: ''S'' is ''pairwise MOS'' (PMOS) if the result of equating any two of the step sizes is a MOS. | Definition: ''S'' is ''pairwise MOS'' (PMOS) if the result of equating any two of the step sizes is a MOS. | ||
=== AG === | === AG === | ||
Definition: ''S'' satisfies the ''alternating generator'' (AG) | Definition: ''S'' satisfies the ''alternating generator property'' (AG) if it satisfies the following equivalent properties: | ||
# ''S'' is generated by two chains of generators, either both of size ''m'' or one with size ''m'' and one of size ''m-1''. | # ''S'' is generated by two chains of generators, either both of size ''m'' or one with size ''m'' and one of size ''m-1''. | ||
# ''S'' can be built by stacking alternating generators, resulting in a circle of the form either g1 g2 ... g1 g2 g1 g3 or g1 g2 ... g1 g2 g3. | # ''S'' can be built by stacking alternating generators, resulting in a circle of the form either g1 g2 ... g1 g2 g1 g3 or g1 g2 ... g1 g2 g3. | ||
=== MV3 Theorem 1 === | === MV3 Theorem 1 === | ||
''The following are equivalent for a scale word S with steps x, y, z:'' | ''The following are equivalent for a scale word S with steps x, y, z:'' | ||