1610510/1594323

Interval information

Ratio	1610510/1594323
Factorization	2 × 3-13 × 5 × 115
Monzo	[1 -13 1 0 5⟩
Size in cents	17.48841¢
Names	fifthchromisma, fifthchrome comma
Color name	s1o5y1, saquinlo-ayo unison
FJS name	[math]\displaystyle{ \text{dd1}^{5,11,11,11,11,11} }[/math]
Special properties	reduced
Tenney height (log2 nd)	41.2236
Weil height (log2 max(n, d))	41.2382
Wilson height (sopfr(nd))	101
Comma size	small
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1610510/1594323, the fifthchromisma or fifthchrome comma is a no-twos 11-limit comma measuring about 17.5 cents. It is the amount by which a stack of five 11/9s and 40/27 exceeds two octaves.

Temperaments

Tempering out this comma in the 11-limit results in the rank-4 fifthchromismic temperament (→ Catalog of rank-4 temperaments #Fifthchromismic (1610510/1594323)). In the 2.3.5.11 subgroup, tempering it out results in the rank-3 fifthchrome temperament.

Etymology

This comma was named by Xenllium in 2025, on account of the only 11-limit comma tempered out in the rank-4 fifthchroma temperament (77 & 80 & 87 & 94).

See also

• Small comma