The Forge: Difference between revisions
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== Forge == | === Forge === | ||
The parent temperament of this whole collection is a rank-3 temperament. | The parent temperament of this whole collection is a rank-3 temperament. | ||
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[[Badness]]: 0.718 × 10<sup>-3</sup> | [[Badness]]: 0.718 × 10<sup>-3</sup> | ||
=== Eleven limit children === | ==== Eleven limit children ==== | ||
The next comma of the [[Normal lists #Normal interval list|normal comma list]] defines which 11-limit family member we are looking at. Some of the options are: | The next comma of the [[Normal lists #Normal interval list|normal comma list]] defines which 11-limit family member we are looking at. Some of the options are: | ||
Revision as of 17:16, 1 September 2022
The Forge is a collection of temperaments of temperaments, 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 mostly rank-3 temperaments provides the foundation for multiple 11-limit and 13-limit temperament families.
Rank-3 temperaments
Forge
The parent temperament of this whole collection is a rank-3 temperament.
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
Eleven limit children
The next comma of the normal comma list defines which 11-limit family member we are looking at. Some of the options are: