Chrysia

Interval information

Ratio	43923/43904
Factorization	2-7 × 3 × 7-3 × 114
Monzo	[-7 1 0 -3 4⟩
Size in cents	0.7490509¢
Name	chrysia
Color name	TBD
FJS name	[math]\displaystyle{ \text{m}{-3}^{11,11,11,11}_{7,7,7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	30.8448
Weil height (log2 max(n, d))	30.8454
Wilson height (sopfr(nd))	82
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.20506 bits
Comma size	unnoticeable
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The chrysia (monzo: [-7 1 0 -3 4⟩, ratio: 43923/43904) is an unnoticeable 11-limit (also 2.3.7.11 subgroup) comma measuring about 0.749 cents. It is the amount by which three intervals of 11/7 and 33/32 exceed two octaves.

Temperaments

Alongside the olympia (131072/130977) and argyria (41503/41472), this comma is tempered in the representation of 2.3.7.11 by 135edo. Among the various 2.3.7.11 micro-commas of 135edo, this comma is notable for having only a single power of 3 in it, allowing 3 to be represented by 2.7.11 subgroup intervals. One notable example is given by chrysanthemum temperament, which tempers the chrysia alongside the amaranthinisma to provide a 2.3.7.11 interpretation of a chain of nearly pure 7/4s with errors less than 0.1 cents.

Etymology

The chrysia was named by VIxen in 2025, on the pattern of the argyria, after Chryse Planitia on Mars and the legendary island of Chryse.

It was previously named the "hemigail comma" by an unknown wiki contributor some time before 2025 (the name appeared on the page unnoticeable commas).