The Forge: Difference between revisions
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Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
[[Comma list]]: | [[Comma list]]: 1640558367/1638400000 | ||
[[Mapping]]: | [[Mapping]]: | ||
Revision as of 19:32, 13 July 2022
The Forge is a collection of temperaments of different ranks, including subgroup temperaments, that all temper out the forge comma – the unnoticeable comma with the ratio 1640558367/1638400000, and a monzo of [-19 14 -5 3⟩. This collection of temperaments provides the foundation for multiple 11-limit and 13-limit temperament families.
Rank-3 temperaments
The parent temperament of this whole collection is a rank-3 temperament.
Forge
Subgroup: 2.3.5.7
Comma list: 1640558367/1638400000
From here, this temperament has different 11-limit extensions.
Rank-2 temperaments
Many of the rank-2 temperaments that temper out the Forge comma are controrted, considered below is the only one found so far that isn't.
Forger
Subgroup: 2.3.5.7
Comma list: 2401/2400, 14348907/14336000