The Forge: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Aura (talk | contribs)
No edit summary
Aura (talk | contribs)
No edit summary
Line 15: Line 15:


[[Badness]]:  
[[Badness]]:  
[[Complexity spectrum]]:


From here, this temperament has different 11-limit extensions.
From here, this temperament has different 11-limit extensions.
Line 34: Line 32:


[[Badness]]:  
[[Badness]]:  
[[Complexity spectrum]]:


=== 11-limit ===
=== 11-limit ===
Line 46: Line 42:


[[Badness]]:  
[[Badness]]:  
[[Complexity spectrum]]:


=== 13-limit ===
=== 13-limit ===
Line 57: Line 51:
{{Val list|legend=1| }}
{{Val list|legend=1| }}


[[Badness]]:
[[Badness]]:
 
[[Complexity spectrum]]:

Revision as of 19:31, 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: 2401/2400, 14348907/14336000

Mapping:

Template:Val list

Badness:

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

Mapping:

Template:Val list

Badness:

11-limit

Comma list:

Mapping:

Template:Val list

Badness:

13-limit

Comma list:

Mapping:

Template:Val list

Badness: