Yggdrasil comma: Difference between revisions

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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 ==

~~~~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<~~/~~span> to the rank-5 yggdrasil temperament~~, ~~and tempering it alongside the~~ [[~~harmonisma~~]] ~~leads to rank-4~~ [[~~alfheim~~]].~~~~

[[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 ==

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]]

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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 ==
-<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 ==
-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]]

Yggdrasil comma: Difference between revisions

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