495/494

Interval information

Ratio	495/494
Factorization	2-1 × 32 × 5 × 11 × 13-1 × 19-1
Monzo	[-1 2 1 0 1 -1 0 -1⟩
Size in cents	3.50098¢
Name	eulalisma
Color name	19u3u1oy-2, nuthuloyo negative 2nd, Nuthuloyo comma
FJS name	[math]\displaystyle{ \text{d}{-2}^{5,11}_{13,19} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	17.8997
Weil height (log2 max(n, d))	17.9026
Wilson height (sopfr(nd))	56
Comma size	small
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495/494, the eulalisma, is a 19-limit superparticular comma of about 3.5 cents. It is the amount by which a stack consisting of 13/11 and 19/18 falls short of 5/4. In terms of commas, it is the difference between 352/351 and 1216/1215, among other relations. By tempering it out is defined the eulalismic temperament, which enables the eulalismic chords. This temperament has a number of notable properties:

• 13/11 and 19/15 become fifth complements;
• 15/13 and 22/19 become fourth complements.

Etymology

The name eulalisma was named by Xenllium in 2023. It refers to 495 Eulalia, the asteroid.

See also

• Small comma
• List of superparticular intervals