The Forge: Difference between revisions

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{{Technical data page}}
'''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 {{monzo|-19 14 -5 3}}.  This collection of mostly rank-3 temperaments provides the foundation for multiple 11-limit and 13-limit temperament families.
'''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 {{monzo|-19 14 -5 3}}.  This collection of mostly rank-3 temperaments provides the foundation for multiple 11-limit and 13-limit temperament families.


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[[Tuning ranges]]:
[[Tuning ranges]]:


{{Val list|legend=1| 9c, 12, 34, 46, 58, 104c, 113, 125, 159, 171, 742, 913, 1084, 1255, 2681d, 2864, 3035, 3206, 3377, 4290d, 4461bd }}
{{Optimal ET sequence|legend=1| 9c, 12, 34, 46, 58, 104c, 113, 125, 159, 171, 742, 913, 1084, 1255, 2681d, 2864, 3035, 3206, 3377, 4290d, 4461bd }}


[[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 interOptimal ET sequence|normal comma list]] defines which 11-limit family member we are looking at.  Some of the options are:


* [[385/384]], leading to the 113 & 125 & 159 temperament
* [[385/384]], leading to the 113 & 125 & 159 temperament