User:Dave Keenan/sandbox

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.