Forge comma

Interval information

Ratio

1640558367/163840000

Factorization

2^-18 × 3¹⁴ × 5^-4 × 7³

Monzo

[-18 14 -4 3⟩

Size in cents

3988.593¢

Name

forge comma

FJS name

[math]\displaystyle{ \text{d25}^{7,7,7}_{5,5,5,5} }[/math]

Tenney height (log₂ nd)

57.8993

Weil height (log₂ max(n, d))

61.2231

Wilson height (sopfr(nd))

119

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The forge comma is the 7-limit unnoticeable comma 1640558367/163840000, 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.