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

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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

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11-limit

Comma list:

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13-limit

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