Yggdrasilsma

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.

Interval information

Factorization	210 × 3-2 × 53 × 7-5 × 11-1 × 13
Monzo	[10 -2 3 -5 -1 1⟩
Size in cents	0.1113269 ¢
Name	Yggdrasilsma
Color name	satholuquinru-atriyoma, s3o1ur^5g^3M
FJS name	[math]\displaystyle{ \text{dd}{-3}^{5,5,5,13}_{7,7,7,7,7,11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	41.3324
Weil norm (log2 max(n, d))	41.3324
Wilson norm (sopfr(nd))	100
Comma size	unnoticeable
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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.