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
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.31192 bits
Comma size	small
Open this interval in xen-calc

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. Which was in turn named after the grandmother of its discoverer.

See also

• Small comma
• List of superparticular intervals