529/528

Interval information

Ratio	529/528
Factorization	2-4 × 3-1 × 11-1 × 232
Monzo	[-4 -1 0 0 -1 0 0 0 2⟩
Size in cents	3.275751¢
Name	preziosisma
Color name	23oo1u2, bitwetho-alu 2nd, Bitwetho-alu comma
FJS name	[math]\displaystyle{ \text{d}{-2}^{23,23}_{11} }[/math]
Special properties	square superparticular, reduced
Tenney height (log2 nd)	18.0915
Weil height (log2 max(n, d))	18.0942
Wilson height (sopfr(nd))	68
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.29945 bits
Comma size	unnoticeable
S-expression	S23
Open this interval in xen-calc

529/528, the preziosisma is a 23-limit superparticular comma of about 3.28 cents. It forms the difference between 23/22 and 24/23. By tempering it out is defined the preziosismic temperament, which enables the preziosismic chords.

Etymology

The name preziosisma was named by Xenllium in 2023. It refers to 529 Preziosa, the asteroid. Which was in turn named after a fictional character.

See also

• Unnoticeable comma
• List of superparticular intervals