The Forge: Difference between revisions

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= Rank-2 temperaments =
= 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 ==
== Forger ==


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
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[[Complexity spectrum]]:  
[[Complexity spectrum]]:  


== 11-limit ==
=== 11-limit ===
 
[[Comma list]]:
 
[[Mapping]]:
 
{{Val list|legend=1| }}
 
[[Badness]]:
 
[[Complexity spectrum]]:
 
=== 13-limit ===
 
[[Comma list]]:
 
[[Mapping]]:
 
{{Val list|legend=1| }}
 
[[Badness]]:
 
[[Complexity spectrum]]:

Revision as of 19:23, 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.

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

Mapping:

Template:Val list

Badness:

Complexity spectrum:

11-limit

Comma list:

Mapping:

Template:Val list

Badness:

Complexity spectrum:

13-limit

Comma list:

Mapping:

Template:Val list

Badness:

Complexity spectrum: