User:Dave Keenan/sandbox

A fractional-3-limit notation is a kind of musical notation built on a chain-of-fifths notation, which is 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 "good fifths" Sagittal notations, which assume specific JI mappings, and step-count notations, like Ups and Downs notations, which do not preserve the notation of subsets. Fractional-3-limit notations assigns symbols to specific fractions of some tempered 3-limit comma. In practice, this comma is either the apotome (chromatic semitone) as represented by a sharp or flat, or the limma (diatonic semitone) as represented by the intervals B-C and E-F.