Forge comma: Difference between revisions

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m Normalising usage of Infobox Interval
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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 1640558367/1638400000
| Ratio = 1640558367/1638400000
| Monzo = -19 14 -5 3
| Cents = 2.27916
| Name = forge comma
| Name = forge comma
| Color name =
| Comma = yes
| FJS name =
| Sound =  
}}
}}


The '''forge comma''' is the [[7-limit]] [[unnoticeable comma]] '''1640558367/1638400000''', 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.
The '''forge comma''' is the [[7-limit]] [[unnoticeable comma]] '''1640558367/1638400000''', 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:Unnoticeable commas]]

Revision as of 17:36, 25 October 2022

Interval information
Ratio 1640558367/1638400000
Factorization 2-19 × 314 × 5-5 × 73
Monzo [-19 14 -5 3
Size in cents 2.279162¢
Name forge comma
FJS name [math]\displaystyle{ \text{d2}^{7,7,7}_{5,5,5,5,5} }[/math]
Special properties reduced
Tenney height (log2 nd) 61.2212
Weil height (log2 max(n, d)) 61.2231
Wilson height (sopfr(nd)) 126
Comma size unnoticeable
Open this interval in xen-calc

The forge comma is the 7-limit unnoticeable comma 1640558367/1638400000, 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.