Yggdrasil comma: Difference between revisions
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{{Infobox Interval|Monzo=10 -2 3 -5 -1 1|Name= | {{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]]. | |||
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 == | ||
[[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]] | |||
[[Category:Commas named after mythology or literature]] | |||
Latest revision as of 08:45, 31 October 2026
| Interval information |
yggdrasilsma
The yggdrasil comma or yggdrasilsma is an unnoticeable comma in the 13-limit, measuring about 0.111 cents. It is the difference between 13/11 and a stack consisting of three instances of 21/20's and one instance of 49/48.
In terms of other commas, it is the difference between 2080/2079 and 2401/2400. It factors into the harmonisma and the ragnaroksma.
Temperaments
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.