Forge comma: Difference between revisions

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| Monzo = -19 14 -5 3
| Monzo = -19 14 -5 3
| Cents = 2.27916
| Cents = 2.27916
| Name = forge comma, <br>forge
| Name = forge comma
| Color name =  
| Color name =  
| FJS name =  
| FJS name =  
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The '''forge comma''', or more simply, the '''forge''', is the [[7-limit]] [[unnoticeable comma]] '''1640558367/163840000''', which measures roughly 2.28 [[cent]]s.  It's notable as the interval separating the [[amity comma]] from the [[gamelisma]].  This comma was first found as the 7-limit comma linking [[12edo]], [[34edo]] and [[159edo]].
The '''forge comma''' is the [[7-limit]] [[unnoticeable comma]] '''1640558367/163840000''', which measures roughly 2.28 [[cent]]s.  It's notable as the interval separating the [[amity comma]] from the [[gamelisma]].  This comma was first found as the 7-limit comma linking [[12edo]], [[34edo]] and [[159edo]].  The various 11-limit families that temper out this comma are named after various metal objects made in a forge, hence '''the Forge''' as the name of this collection of temperaments.


[[Category:7-limit]]
[[Category:7-limit]]
[[Category:Unnoticeable commas]]
[[Category:Unnoticeable commas]]

Revision as of 18:24, 13 July 2022

Interval information
Ratio 1640558367/163840000
Factorization 2-18 × 314 × 5-4 × 73
Monzo [-18 14 -4 3
Size in cents 3988.593¢
Name forge comma
FJS name [math]\displaystyle{ \text{d25}^{7,7,7}_{5,5,5,5} }[/math]
Tenney height (log2 nd) 57.8993
Weil height (log2 max(n, d)) 61.2231
Wilson height (sopfr(nd)) 119
Open this interval in xen-calc

The forge comma is the 7-limit unnoticeable comma 1640558367/163840000, which measures roughly 2.28 cents. It's notable as the interval separating the amity comma from the gamelisma. This comma was first found as the 7-limit comma linking 12edo, 34edo and 159edo. The various 11-limit families that temper out this comma are named after various metal objects made in a forge, hence the Forge as the name of this collection of temperaments.