6250/6237

Interval information

Ratio	6250/6237
Factorization	2 × 3-4 × 55 × 7-1 × 11-1
Monzo	[1 -4 5 -1 -1⟩
Size in cents	3.604717¢
Names	liganellus comma, liganellisma
Color name	1ury5-2, luruquinyo negative 2nd
FJS name	[math]\displaystyle{ \text{dd}{-2}^{5,5,5,5,5}_{7,11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	25.2163
Weil norm (log2 max(n, d))	25.2193
Wilson norm (sopfr(nd))	57
Comma size	small
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6250/6237, the liganellus comma or the liganellisma, is a small 11-limit comma with a value of roughly 3.6 cents.

It is the difference between 100/99 (ptolemisma) and 126/125 (starling comma), and between the symbiotic comma and the amity comma. It is also the interval that separates the keenanisma from the kleisma on one side, and from the seascape comma on the other. It factors into simpler commas as (3025/3024)⋅(4000/3993).

Temperaments

Tempering out this comma leads to the rank-4 liganellus temperament, in which 80/77 – the difference between 5/4 and 77/64 – is equated with the major diesis of 648/625. It is commonly tempered out as a byproduct of tempering out other commas.

Etymology

This comma was named by Aura in 2020. In the earliest materials where this comma is named, it was known as the liganelluma. The term liganellus, from which this comma's names are derived, is a portmanteau of Latin ligare ("to tie", "to bind") and Latin anellus (referring to a little ring, including the sort which forms an element in a chain) that was coined in reference to the fact that 6250/6237 is tempered out in octoid, tritikleismic, catakleismic, quadritikleismic, compton, unthirds, amity, alphaquarter, hanuman, and enlil (thus linking all of these temperaments together, hence Latin ligare), as well as to its aforementioned relationship with the keenanisma where it forms the "links" that make up the aforementioned chain (hence Latin anellus).