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	A '''fractional-3-limit notation''' is a kind of musical notation built on a [[chain-of-fifths notation]], used for notating [[EDOs]] when the EDO has no ~~good~~ mapping from just intonation, ~~or to avoid favoring one such mapping over another~~. Fractional-3-limit notations may be contrasted with other kinds of chain-of-fifths notation for EDOs, ~~such as~~ the ''JI-based notations'' used for EDOs with good fifths ~~in the [[Sagittal]] system, and the~~ ''step-count notations'' ~~used in the~~ [[Ups and Downs]] ~~system~~.		A '''fractional-3-limit notation''' is a kind of musical notation built on a [[chain-of-fifths notation]] and used for notating [[EDOs]] when the EDO has no obvious mapping from just intonation, while preserving the notation of subsets. Fractional-3-limit notations may be contrasted with two other kinds of chain-of-fifths notation for EDOs: ''JI-based notations'' like [[Sagittal]] which assume specific mappings, and ''step-count notations'' like [[Ups and Downs]] which do not preserve the notation of subsets. Examples of ''JI-based notations'' are the [[Sagittal]] notations used for EDOs with good fifths. Examples of ''step-count notations'' are [[Ups and Downs]] notations.