Yggdrasil comma - Revision history

FloraC: + category

2026-10-31T08:45:09Z

+ category

← Older revision		Revision as of 08:45, 31 October 2026
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	[[Category:Yggdrasil]]		[[Category:Yggdrasil]]
			[[Category:Commas named after mythology or literature]]

FloraC: FloraC moved page Yggdrasilsma to Yggdrasil comma: Yggdrasil comma should be the primary name in this case

2026-10-31T08:43:53Z

FloraC moved page Yggdrasilsma to Yggdrasil comma: Yggdrasil comma should be the primary name in this case

← Older revision	Revision as of 08:43, 31 October 2026
(No difference)

FloraC: Review

2026-10-31T08:42:20Z

Review

← Older revision		Revision as of 08:42, 31 October 2026
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	{{Infobox Interval\|Monzo=10 -2 3 -5 -1 1\|Name=~~Yggdrasilsma~~\|Color name=satholuquinru-atriyoma, s3o1ur^5g^3M\|Comma=yes}}The '''yggdrasilsma''' is ~~a 13-limit~~ comma, the ~~difference between~~ [[~~2080/2079~~]] ~~and~~ [[~~2401/2400~~]]~~, or alternatively,~~ the difference between ~~a stack of~~ [[13/11]] and ~~an [[aberschisma]], and~~ [[32/27]] and a [[~~2401~~/~~2400~~]].		{{Infobox Interval
			\| Monzo = 10 -2 3 -5 -1 1
			\| Name = Yggdrasil comma, yggdrasilsma
			\| Color name = satholuquinru-atriyoma, s3o1ur^5g^3M
			\| Comma = yes
			}}
			The '''yggdrasil comma''' or '''yggdrasilsma''' is an [[unnoticeable comma]] in the [[13-limit]], measuring about 0.111 [[cent]]s. It is the difference between [[13/11]] and a stack consisting of three instances of [[21/20]]'s and one instance of [[49/48]].

	It is ~~also~~ the ~~product of~~ the [[harmonisma]] and the [[ragnaroksma]].		In terms of other commas, it is the difference between [[2080/2079]] and [[2401/2400]]. It factors into the [[harmonisma]] and the [[ragnaroksma]].

	== Temperaments ==		== Temperaments ==
	~~<span data~~-~~darkreader~~-~~inline-color="">~~It is tempered out ~~in</span>~~ [[~~freyr~~]] ~~<span data~~-~~darkreader-inline-color="">and its temperaments, such as</span>~~ [[~~newt~~]]~~<span data~~-~~darkreader-inline-color="">,</span>~~ [[~~hemififths~~]]~~<span data-darkreader-inline-color="">, and a complex</span>~~ [[~~Hemiwuerschmidt~~]] ~~<span data-darkreader-inline-color="">extension (99ef & 229)~~. ~~Tempering alone~~ in ~~the 13-limit leads<~~/~~span> <span data-darkreader-inline-color="">to the rank-5 yggdrasil temperament~~, ~~and tempering it alongside the~~ [[~~harmonisma~~]] ~~leads to rank-4~~ [[~~alfheim~~]].~~</span>~~		[[Tempering out]] this comma alone in the 13-limit leads to the rank-5 '''yggdrasil''' temperament.

			It can be tempered out alongside the [[harmonisma]], leading to the rank-4 [[alfheim]] temperament, which is notable for being a high-efficiency [[detemperament]] of [[freyr]]. It is also tempered out in any temperament where both 2080/2079 and 2401/2400 vanish, such as [[lif]], [[eir]], and [[greenland]].

	== Etymology ==		== Etymology ==
	The comma was named by [[Flora Canou]] in 2026, after the world tree in Norse mythology, Yggdrasil.		The comma was named by [[Flora Canou]] in 2026, after the world tree in Norse mythology, {{w\|Yggdrasil}}.

			[[Category:Yggdrasil]]

Eufalesio: Birth

2026-10-30T10:08:10Z

Birth

New page

{{Infobox Interval|Monzo=10 -2 3 -5 -1 1|Name=Yggdrasilsma|Color name=satholuquinru-atriyoma, s3o1ur^5g^3M|Comma=yes}}The '''yggdrasilsma''' is a 13-limit comma, the difference between [[2080/2079]] and [[2401/2400]], or alternatively, the difference between a stack of [[13/11]] and an [[aberschisma]], and [[32/27]] and a [[2401/2400]].

It is also the product of the [[harmonisma]] and the [[ragnaroksma]].

== Temperaments ==
It is tempered out in [[freyr]] and its temperaments, such as [[newt]], [[hemififths]], and a complex [[Hemiwuerschmidt]] extension (99ef & 229). Tempering alone in the 13-limit leads to the rank-5 yggdrasil temperament, and tempering it alongside the [[harmonisma]] leads to rank-4 [[alfheim]].

== Etymology ==
The comma was named by [[Flora Canou]] in 2026, after the world tree in Norse mythology, Yggdrasil.