The Forge

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

Mapping: [⟨1 0 1 8], ⟨0 1 1 -3], ⟨0 0 -3 -5]]

Mapping generators: ~2, ~3, ~1701/1600

Badness: 0.718 × 10^-3

From here, this temperament has different 11-limit extensions.