Rank-3 scale: Difference between revisions
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!Rank-3 scale class | !Rank-3 scale class | ||
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|Maximum Variety 2 | |Maximum Variety 2 (implies distributional evenness) | ||
|[[MV3]] scales | |[[MV3]] scales | ||
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|[[Generator-offset property|Generator Offset]] scales | |[[Generator-offset property|Generator Offset]] scales | ||
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|Myhill's property | |Myhill's property (implies MV2) | ||
|Trivalent scales (subset of MV3 scales) | |Trivalent scales (subset of MV3 scales) | ||
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|Well-formed ( | |Well-formed (implies Myhill's property) (only strict MOS scales are well-formed) | ||
|Pairwise well-formed scales (intersection of trivalent scales and Pairwise DE/MOS scales) | |Pairwise well-formed scales (intersection of trivalent scales and Pairwise DE/MOS scales) | ||
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|Can tessellate the entire lattice of pitch classes that it lives in | |Can tessellate the entire lattice of pitch classes that it lives in | ||
|Product words = rank-3 Fokker blocks | |Product words = rank-3 Fokker blocks (superset of Pairwise DE/MOS scales) | ||
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|Uniquely defined by step signature and mapping | |Uniquely defined by step signature and mapping (implies mirror-symmetric) | ||
|3-SN scales (rank-3 [[step-nested scales]]) | |3-SN scales (rank-3 [[step-nested scales]]) | ||
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